Publikationen

2022

Begutachteter Zeitschriftenartikel

Analysis and experimental demonstration of temperature step gradients in preparative liquid chromatography

An, Xinghai; Hayat, Adnan; Lee, Ju Weon; Qamar, Shamsul; Warnecke, Gerald; Seidel-Morgenstern, Andreas

In: Journal of chromatography / A - New York, NY [u.a.]: Science Direct, Bd. 1665 (2022)

Begutachteter Zeitschriftenartikel

A new method to discretize a model for isothermal flow with a multi-component equation of state

Hantke, Maren; Matern, Christoph; Warnecke, Gerald; Yaghi, Hazem

In: Journal of computational and applied mathematics - Amsterdam [u.a.] : North-Holland, Bd. 422 (2023), Artikel 114876, insges. 10 S.

Begutachteter Zeitschriftenartikel

Radially symmetric solutions of the ultra-relativistic Euler equations

Kunik, Matthias; Liu, Hailiang; Warnecke, Gerald

In: Methods and applications of analysis - Somerville, Mass.: International Press, Bd. 28 (2021), 4, S. 401-422

Dissertation

The Riemann problem for weakly hyperbolic two-phase flow model of a dispersed phase in a carrier fluid

Matern, Christoph; Warnecke, Gerald

In: Magdeburg: Universitätsbibliothek, Dissertation Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik 2022, 1 Online-Ressource (x, 125 Seiten, 1,74 MB) [Literaturverzeichnis: Seite 119-125]

2020

Artikel in Zeitschrift

The Riemann problem for a weakly hyperbolic two-phase flow model of a dispersed phase in a carrier fluid

Hantke, Maren; Matern, Christoph; Ssemaganda, Vincent; Warnecke, Gerald

In: Quarterly of applied mathematics - Providence, RI: Brown University, Division of Applied Mathematics, 1943, Bd. 78 (2020), 3, S. 431-467

Buchbeitrag

Analytical results for the Riemann problem for a weakly hyperbolic two-phase flow model of a dispersed phase in a carrier fluid

Hantke, Maren; Matern, Christoph; Warnecke, Gerald

In: Continuum mechanics, applied mathematics and scientific computing: Godunov's legacy - Chem: Springer; Demidenko, Gennadii V. . - 2020, S. 169-175

Begutachteter Zeitschriftenartikel

Ein Brief von C.F. Gauß an C.L. Gerling - kleinste Fehlerquadrate und das Gauß-Seidel-Verfahren

Warnecke, Gerald

In: Mathematische Semesterberichte - Berlin: Springer, Bd. 67.2020, S. 57-84

Dissertation

Analysis of coupling interface problems for bi-domain diffusion equations

Munir, Taj; Warnecke, Gerald

In: Magdeburg, 2020, x, 151 Seiten, Diagramme, 30 cm[Literaturverzeichnis: Seite 149-151]

Nicht begutachteter Zeitschriftenartikel

Radially symmetric solutions of the ultra-relativistic Euler equations

Kunik, Matthias; Liu, Hailian; Warnecke, Gerald

In: Magdeburg: Otto-von-Guericke-Universität, Fakultät für Mathematik, 2020, 25 Seiten, Illustrationen - (Preprint; Fakultät für Mathematik, Otto-von-Guericke-Universität Magdeburg; 2020, Nr. 02)

2019

Buchbeitrag

Zahl oder Menge - über grundlegende Formen der Mathematik

Warnecke, Gerald

In: Ästhetik & Artikulation: Dialoge zu Qualitäten menschlichen Tuns - Münster: Waxmann, 2019; Adler, David . - 2019, S. 191-204 - (Dialog der Wissenschaften; 3)

Begutachteter Zeitschriftenartikel

Theoretical and numerical studies of the PNPM DG schemes in one space dimension

Badenjki, Abdulatif; Warnecke, Gerald

In: Applications of mathematics - Dordrecht [u.a.]: Springer Science + Business Media B.V, 1956, Bd. 64.2019, 6, S. 599-635

Begutachteter Zeitschriftenartikel

Theoretical analysis of forced segmented temperature gradients in liquid chromatography

Hayat, Adnan; An, Xinghai; Qamar, Shamsul; Warnecke, Gerald; Seidel-Morgenstern, Andreas

In: Processes - Basel: MDPI, Volume 7 (2019), 1, Artikel 846

2018

Abstract

Noise reduction in perfusion imaging using data-driven prior knowledge

Bannasch, Sebastian; Eckel, Christina; Frysch, Robert; Beuing, Oliver; Warnecke, Gerald; Rose, Georg

In: Clinical neuroradiology - München : Urban & Vogel , 2006 - Vol. 28.2018, Suppl. 1, Abstr. 288, S. S100-S101

Buchbeitrag

Numerical solutions for a weakly hyperbolic dispersed two-phase flow model

Hantke, Maren; Matern, Christoph; Warnecke, Gerald

In: Konferenz: XVI International Conference on Hyperbolic Problems, Aachen, Germany, August, 2016, Theory, Numerics and Applications of Hyperbolic Problems I - Cham: Springer International Publishing . - 2018, S. 665-675 - (Springer Proceedings in Mathematics & Statistics; 236)

Begutachteter Zeitschriftenartikel

Time separation technique - accurate solution for 4D C-Arm-CT perfusion imaging using a temporal decomposition model

Bannasch, Sebastian; Frysch, Robert; Pfeiffer, Tim; Warnecke, Gerald; Rose, Georg

In: Medical physics - Hoboken, NJ : Wiley, Bd. 45 (2018), 3, S. 1080-1092

Begutachteter Zeitschriftenartikel

Multiscale modeling and numerical simulation of calcium cycling in cardiac myocytes

Chamakuri, Nagaiah; Neubert, Wilhelm; Gilbert, Stephen; Vierheller, Janine; Warnecke, Gerald; Falcke, Martin

In: Multiscale modeling & simulation - Philadelphia, Pa.: SIAM, 2003, Bd. 16.2018, 3, S. 1115-1145

Dissertation

The PNPM schemes for the one dimensional hyperbolic conservation laws

Badenjki, Abdulatif; Warnecke, Gerald

In: Magdeburg, 2018, 120 Seiten, Tabellen, Diagramme[Literaturverzeichnis: Seite 118-119]

Habilitation

Two-phase flows with phase transitions - modelling, analysis, numerics

Hantke, Maren; Warnecke, Gerald

In: Magdeburg, 2018, 322 Seiten, Illustrationen, Diagramme, 30 cm[Literaturangaben]

2017

Abstract

Robust computation of perfusion maps for spatiotemporal model-based CT reconstructionsons

Bannasch, Sebastian; Warnecke, Gerald; Rose, Georg

In: Recent progress and developments: 3rd Conference on Image-Guided Interventions & Focus Neuroradiologie, November 6 and 7, 2017, Magdeburg, Germany : abstract book - Magdeburg, 2017, 2017, Art. ID47, S. 31

Abstract

Dynamische Perfusionsbildgebung mit C-Arm-System

Bannasch, Sebastian; Warnecke, Gerald; Rose, Georg

In: Clinical neuroradiology - München: Urban & Vogel, 2006, Vol. 27.2017, Suppl. 1, Art. 311, S. S46

Begutachteter Zeitschriftenartikel

Influence of particle size distribution on the limestone decomposition in single shaft kilns

Hallak, Bassem; Specht, Eckehard; Herz, Fabian; Gröpler, Robin; Warnecke, Gerald

In: Energy procedia - Amsterdam [u.a.] : Elsevier , 2009, Bd. 120 (2017), S. 604-611

Dissertation

Numerical simulation schemes for inhomogeneous convection-diffusion systems modeling fluidized beds

Alkurdi, Yaser; Warnecke, Gerald; Bück, Andreas

In: Magdeburg, 2017, vi, 145 Seiten, Illustrationen[Literaturverzeichnis: Seite 137-143]

Dissertation

Analytical and numerical investigation of an intracellular calcium dynamics model

Okiro, Jared Ouma; Warnecke, Gerald

In: Magdeburg, 2017, ix, 128 Seiten, Illustrationen[Literaturverzeichnis: Seite 115-127]

2016

Abstract

A compaqct algorithm for a model-based perfusion reconstruction technique

Bannasch, Sebastian; Warnecke, Gerald; Rose, Georg

In: IMA Conference on Numerical Linear Algebra und Optimization: Wednesday 7 - Friday 9 September 2016, University of Birmingham ; abstracts book and delegate list - Birmingham: Institut of Mathematics & its Applications, 2016 . - 2016, S. 36-37

Begutachteter Zeitschriftenartikel

Simulation of limestone calcination in normal shaft kilns, Part 3: Influence of particle size distribution and type of limestone

Hallak, Bassem; Herz, Fabian; Specht, Eckehard; Gröpler, Robin; Warnecke, Gerald

In: Cement, lime, gypsum - Gütersloh : Bauverl. BV, Bd. 69.2016, 3, S. 64-68

Dissertation

Model-based stochastic optimization of palm oil deodorization via Short-Path-Distillation towards 3-MCPD fatty acid ester formation and major oil quality parameters

Rudolph, Tim Christoph; Mörl, Lothar; Kahle, Waltraud; Warnecke, Gerald

In: Magdeburg, 2016, XIX, 228 Seiten, Illustrationen

2015

Abstract

Koeffizientenbasierte Algebraische Rekonstruktions-Technik für modellbasierte Perfusionsbildgebung

Bannasch, Sebastian; Warnecke, Gerald; Rose, Georg

In: IGIC 2015: 2. Image-Guided Interventions Conference, 2. - 3. November 2015, Mannheim ; Abstractband - Vorträge - Mannheim, S. 19[Beitrag auf USB-Stick]

Abstract

Acceleration of a regularized Algebraic Reconstruction Technique evaluated with a simulation of computed tomography

Bannasch, Sebastian; Pfeiffer, Tim; Warnecke, Gerald; Rose, Georg

In: IMA Conference on Numerical Methods for Simulation: Tuesday 1 - Friday 4 September 2015, Mathematical Institute, University of Oxford ; abstracts book and delegate list - Oxford: Univ., 2015 . - 2015, S. 17

Begutachteter Zeitschriftenartikel

Simulation of limestone calcination in normal shaft kilns - Part 2: influence of process parameters

Hallak, Bassem; Herz, Fabian; Specht, Eckehard; Gröpler, Robin; Warnecke, Gerald

In: Cement, lime, gypsum - Gütersloh : Bauverl. BV , 1948 . - 2015, 10, S. 46-50

Begutachteter Zeitschriftenartikel

Simulation of limestone calcination in normal shaft kilns - Part 1 - mathematical model

Hallak, Bassem; Herz, Fabian; Specht, Eckehard; Gröpler, Robin; Warnecke, Gerald

In: Cement, lime, gypsum - Gütersloh : Bauverl. BV , 1948 . - 2015, 9, S. 66-71

Begutachteter Zeitschriftenartikel

Simulation of the limestone calcination in normal shaft kilns

Herz, Fabian; Hallak, Bassem; Specht, Eckehard; Gröpler, Robin; Warnecke, Gerald

In: 10th European Conference on Industrial Furnaces and Boilers : INFUB ; Gaia (Porto), Hotel Holiday Inn Gaia, Portugal, 7 - 10 April 2015 - Gaia (Porto) , 2015, insges. 10 S.

Begutachteter Zeitschriftenartikel

The singular kernel coagulation equation with multifragmentation

Camejo, Carlos Cueto; Warnecke, Gerald

In: Mathematical methods in the applied sciences - Chichester, West Sussex: Wiley, Bd. 38.2015, 14, S. 2953-2973

Begutachteter Zeitschriftenartikel

Regular solutions to the coagulation equations with singular kernels

Camejo, Carlos Cueto; Gröpler, Robin; Warnecke, Gerald

In: Mathematical methods in the applied sciences - Chichester, West Sussex: Wiley, Bd. 38.2015, 11, S. 2171-2184

Artikel in Kongressband

An optimal relaxation of the algebraic reconstruction technique for CT imaging

Bannasch, Sebastian; Frysch, Robert; Bismark, Richard; Warnecke, Gerald; Rose, Georg

In: Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine: proceedings - Newport, 2015, Art. Th21, S. 622-625

Nicht begutachteter Zeitschriftenartikel

Simulation of limestone calcination in normal shaft kilns - mathematical model

Hallak, Bassem; Herz, Fabian; Specht, Eckehard; Gröpler, Robin; Warnecke, Gerald

In: ZKG international / Verein Deutscher Zementwerke ; Bundesverband der Deutschen Zementindustrie ; Bundesverband der Deutschen Kalkindustrie ; Bundesverband der Gips- und Gipsbauplattenindustrie - Walluf: Bauverl., 1995, Bd. 68.2015, 9, S. 66-71

2014

Abstract

Optimale Relaxation der algebraischen Rekonstruktionstechnik für CT

Bannasch, Sebastian; Frysch, Robert; Warnecke, Gerald; Rose, Georg

In: IGIC 2014 - Abstractband - 1st Conference on Image-Guided Interventions, 13. - 14. Oktober 2014, Magdeburg ; [1. Tagung "Image-Guided Interventions"]/ Conference on Image-Guided Interventions - Magdeburg: Univ., 2014; Preim, Bernhard *1969-* . - 2014, S. 25-26Kongress: Conference on Image-Guided Interventions 1 (Magdeburg) ; 2014.10.13-14

Abstract

An implicit optimization approach for the Kaczmarz method applied to algebraic reconstruction techniques for computed tomography

Bannasch, Sebastian; Warnecke, Gerald; Frysch, Robert; Pfeiffer, Tim; Rose, Georg

In: 4th IMA Confernece on Numerical Linear Algebra and Optimisation: Wednesday 3 September - Friday 5 September 2014, University of Birmingham ; abstracts book and delegate list - Birmingham: Univ., 2014 . - 2014, S. 10Kongress: IMA Confernece on Numerical Linear Algebra and Optimisation 4 (Birmingham : 2014.09.03-05)

Begutachteter Zeitschriftenartikel

Exact Riemann solutions to shallow water equations

Han, Ee; Warnecke, Gerald

In: Quarterly of applied mathematics. - Providence, RI : Brown Univ, insges. 47 S., 2014

Begutachteter Zeitschriftenartikel

Convergence analysis of a finite volume scheme for solving non-linear aggregation-breakage population balance equations

Kumar, Rajesh; Kumar, Jitendra; Warnecke, Gerald

In: Kinetic and related models: KRM - Springfield, Mo: AIMS, Bd. 7.2014, 4, S. 713-737

Begutachteter Zeitschriftenartikel

A note on existence and uniqueness of solutions for a thermodynamically consistent Becker-Döring model

Ssemaganda, Vincent; Warnecke, Gerald

In: Methods and applications of analysis. - Somerville, Mass : International Press, Bd. 21.2014, 2, S. 177-200

Begutachteter Zeitschriftenartikel

Modeling of aggregation kernels for fluidized beds using discrete particle model simulations

Narni, Nageswara Rao; Peglow, Mirko; Warnecke, Gerald; Kumar, Jitendra; Heinrich, Stefan; Kuipers, J. A. M.

In: Particuology - Amsterdam: Elsevier, Bd. 13.2014, S. 134-144

Dissertation

Micro-macro transition from discrete modeling to population balances in spray fluidized bed agglomeration

Hussain, Mubashir; Tsotsas, Evangelos; Warnecke, Gerald

In: Zugl.: Magdeburg, Univ., Fak. für Verfahrens- und Systemtechnik, Diss., 2014: Barleben: Docupoint-Verl., XVI, 154 S., Ill., graph. Darst., 21 cm - (Docupoint Wissenschaft; Micro-macro transactions; 13)

2013

Begutachteter Zeitschriftenartikel

Analysis and numerical investigation of two dynamic models for liquid chromatography

Javeed, Shumalia; Qamar, Shamsul; Ashraf, Waqas; Warnecke, Gerald; Seidel-Morgenstern, Andreas

In: Chemical engineering science. - Amsterdam [u.a.] : Elsevier Science, Bd. 90.2013, S. 17-31

Begutachteter Zeitschriftenartikel

Moment preserving finite volume schemes for solving population balance equations incorporating aggregation, breakage, growth and source terms

Kumar, Rajesh; Kumar, Jitendra; Warnecke, Gerald

In: Mathematical models and methods in applied sciences (M 3 AS). - Singapore [u.a.] : World Scientific, Bd. 23.2013, 7

Begutachteter Zeitschriftenartikel

On the modeling and simulation of a laser-induced cavitation bubble

Zien, Ali; Hantke, Maren; Warnecke, Gerald

In: International journal for numerical methods in fluids - Chichester: Wiley, Bd. 73 (2013), 2, S. 172-203

Begutachteter Zeitschriftenartikel

Exact solutions to the Riemann problem for compressible isothermal Euler equations for two-phase flows with and without phase transition

Hantke, Maren; Dreyer, Wolfgang; Warnecke, Gerald

In: Quarterly of applied mathematics - Providence, RI: Brown University, Division of Applied Mathematics, Bd. 71 (2013), S. 509-540

Begutachteter Zeitschriftenartikel

Bubbles in liquids with phase transition. Part 2: On balance laws for mixture theories of disperse vapor bubbles in liquid with phase change

Dreyer, Wolfgang; Hantke, Maren; Warnecke, Gerald

In: Continuum mechanics and thermodynamics - Berlin : Springer, Bd. 26 (2014), Heft 4, S. 521-549

Begutachteter Zeitschriftenartikel

Parallel and high resolution numerical solution of concentration and temperature distributions in fluidized beds

Nagaiah, Ch.; Suresh Kumar, N.; Bück, Andreas; Warnecke, Gerald

In: Computers & chemical engineering. - Amsterdam [u.a.] : Elsevier Science, Bd. 52.2013, S. 122-133

Begutachteter Zeitschriftenartikel

Criteria for nonuniqueness of Riemann solutions to compressible duct flows

Han, Ee; Hantke, Maren; Warnecke, Gerald

In: ZAMM - Berlin : Wiley-VCH, Bd. 93 (2013), Heft 6/7, S. 465-475

Dissertation

The singular coagulation and coagulation-fragmentation equations

Cueto Camejo, Carlos; Warnecke, Gerald

In: Magdeburg, Univ., Fak. für Mathematik, Diss., 2013, VI, 115 S., graph. Darst.

Dissertation

Exact Riemann solutions to two selected resonant hyperbolic systems

Han, Ee; Warnecke, Gerald

In: Magdeburg, Univ., Fak. für Mathematik, Diss., 2013, VI, 162 S., graph. Darst.

Dissertation

Analysis and numerical investigation of dynamic models for liquid chromatography

Javeed, Shumaila; Warnecke, Gerald

In: Magdeburg, Univ., Fak. für Mathematik, Diss., 2013, XV, 138 S., graph. Darst.

Nicht begutachteter Zeitschriftenartikel

Iterative solution of system matrices from computer tomography using discrete time flow methods

Bannasch, Sebastian; Rose, Georg; Warnecke, Gerald

In: Magdeburg: Univ., Fak. für Mathematik, 2013, 12 S. - (Preprint; Fakultät für Mathematik, Otto-von-Guericke-Universität Magdeburg; 2013,11)

2012

Begutachteter Zeitschriftenartikel

Exact Riemann solutions to compressible Euler equations in ducts with discontinuous cross-section

Han, Ee; Hantke, Maren; Warnecke, Gerald

In: Journal of hyperbolic differential equations. - London [u.a.] : World Scientific, Bd. 9.2012, 3, S. 403-449

Begutachteter Zeitschriftenartikel

Bubbles in liquids with phase transition. Part 1: On phase change of a single vapor bubble in liquid water

Dreyer, Wolfgang; Duderstadt, Frank; Hantke, Maren; Warnecke, Gerald

In: Continuum mechanics and thermodynamics: analysis of complex materials and judicious evaluation of the environment - Berlin: Springer, Bd. 24.2012, 4/6, S. 461-483

Originalartikel in begutachteter internationaler Zeitschrift

Robust a posteriori error estimates for subgrid stabilization of non-stationary convection dominated diffusive transport

Achchab, B.; Benjouad, A.; El Fatini, M.; Souissi, A.; Warnecke, Gerald

In: Applied mathematics and computation. - Amsterdam [u.a.] : Elsevier, Bd. 218.2012, 9, S. 5276-5291

Originalartikel in begutachteter internationaler Zeitschrift

Adaptive space and time numerical simulation of reaction-diffusion models for intracellular calcium dynamics

Nagaiah, Ch.; Rüdiger, S.; Warnecke, Gerald; Falcke, M.

In: Applied mathematics and computation. - Amsterdam [u.a.] : Elsevier, Bd. 218.2012, 20, S. 10194-10210

Originalartikel in begutachteter internationaler Zeitschrift

Weak solutions to the continuous coagulation equation with multiple fragmentation

Giri, Ankik Kumar; Laurençot, Philippe; Warnecke, Gerald

In: Nonlinear analysis. - Oxford : Pergamon, Elsevier Science, Bd. 75.2012, 4, S. 2199-2208

Originalartikel in begutachteter internationaler Zeitschrift

Parametric study of thermal effects in reactive liquid chromatography

Javeed, Shumaila; Qamar, Shamsul; Seidel-Morgenstern, Andreas; Warnecke, Gerald

In: Chemical engineering journal - Amsterdam: Elsevier, Bd. 191.2012, S. 426-440

2011

Begutachteter Zeitschriftenartikel

Numerical methods for solving two-dimensional aggregation population balance equations

Kumar, Rajesh; Kumar, Jitendra; Warnecke, Gerald

In: Computers & chemical engineering. - Amsterdam [u.a.] : Elsevier Science, Bd. 35.2011, 6, S. 999-1009

Dissertation

Numerical analysis of finite volume schemes for population balance equations

Kumar, Rajesh; Warnecke, Gerald

In: Magdeburg, Univ., Fak. für Mathematik, Diss., 2011, VIII, 134 S., graph. Darst., 30 cm

Originalartikel in begutachteter internationaler Zeitschrift

Weak solutions to the continuous coagulation equation with multiple fragmentation

Giri, Ankik Kumar; Laurençot, Philippe; Warnecke, Gerald

In: Nonlinear analysis. - Amsterdam [u.a.] : Elsevier, Pergamon PressNonlinear analysis / Theory, methods and applications, 2011

Originalartikel in begutachteter internationaler Zeitschrift

Uniqueness of steady-state solutions for thermodynamically consistent Becker-Döring models

Ssemaganda, Vincent; Holstein, Katharina; Warnecke, Gerald

In: Journal of mathematical physics. - Melville, NY : American Institute of Physics, Bd. 52.2011, 8, insges. 28 S.

Originalartikel in begutachteter internationaler Zeitschrift

A discontinuous Galerkin method to solve chromatographic models

Javeed, Shumaila; Qamar, Shamsul; Seidel-Morgenstern, Andreas; Warnecke, Gerald

In: Journal of chromatography. - Amsterdam [u.a.] : ElsevierJournal of chromatography / A, Bd. 1218.2011, 40, S. 7137-7146

Originalartikel in begutachteter internationaler Zeitschrift

Uniqueness for the coagulation-fragmentation equation with strong fragmentation

Giri, Ankik Kumar; Warnecke, Gerald

In: Zeitschrift für angewandte Mathematik und Physik. - Basel [u.a.] : Birkhäuser, Bd. 62.2011, 6, S. 1047-1063

2010

Dissertation

Mathematical and numerical analysis for coagulation-fragmentation equations

Giri, Ankik Kumar; Warnecke, Gerald

In: Magdeburg, Univ., Fak. für Mathematik, Diss., 2010, IV, 151 S., graph. Darst., 30 cm

Dissertation

Numerical methods for multiphase mixture conservation laws with phase transition

Zein, Ali; Warnecke, Gerald; Helluy, Philippe

In: Zugl.: Magdeburg, Univ., Fak. für Mathematik, Diss., 2010: Magdeburg: Docupoint-Verl., XI, 165 S., graph. Darst., 21 cm - (Docupoint Wissenschaft)

Originalartikel in begutachteter internationaler Zeitschrift

A note on moment preservation of finite volume schemes for solving growth and aggregation population balance equations

Kumar, Jitendra; Warnecke, Gerald

In: Society for Industrial and Applied Mathematics : SIAM journal on scientific computing . - Philadelphia, Pa. : SIAM, Bd. 32.2010, 2, S. 703-713

Originalartikel in begutachteter internationaler Zeitschrift

Calcium domains around single and clustered IP 3 receptors and their modulation by buffers

Rüdiger, S.; Nagaiah, Ch.; Warnecke, Gerald; Shuai, J. W.

In: Biophysical journal . - Bethesda, Md. : Biophysical Soc., Bd. 99.2010, 1, S. 3-12

Originalartikel in begutachteter internationaler Zeitschrift

Steady states of the 1D Doi-Onsager model in the strong shear flow

Warnecke, Gerald; Zhang, Hui

In: Communications in mathematical sciences . - Somerville, Mass. : International Press, Bd. 8.2010, 3, S. 721-734

Originalartikel in begutachteter internationaler Zeitschrift

The continuous coagulation equation with multiple fragmentation

Giri, Ankik Kumar; Kumara, Jitendra; Warnecke, Gerald

In: Journal of mathematical analysis and applications . - Amsterdam [u.a.] : Elsevier, ISSN 0022-247x, Bd. 374.2010, 1, S. 71-87

Originalartikel in begutachteter internationaler Zeitschrift

Modeling phase transition for compressible two-phase flows applied to metastable liquids

Zein, Ali; Hantke, Maren; Warnecke, Gerald

In: Journal of computational physics - Amsterdam: Elsevier, Bd. 229 (2010), 8, S. 2964-2998

2009

Herausgeberschaft

"Alles was zählt!" - der mathematische Blick

Bräsel, Heidemarie; Christoph, Gerd; Grunau, Hans-Christoph; Henk, Martin; Henning, Herbert; Kahle, Waltraud; Kaibel, Volker; Manteuffel, Karl; Pott, Alexander; Warnecke, Gerald; Willems, Wolfgang

In: Magdeburg: Univ., Fak. für Mathematik, 2009, Getr. Zählung, Ill., 29 cm - (Technical Report; Fakultät für Mathematik, Otto-von-Guericke-Universität Magdeburg; 2009,2)

Originalartikel in begutachteter internationaler Zeitschrift

Numerical approximations of a population balance model for coupled batch preferential crystallizers

Qamar, S.; Angelov, I.; Elsner, M. P.; Ashfaq, A.; Seidel-Morgenstern, Andreas; Warnecke, Gerald

In: , Bd. 59.2009, 3/4, S. 739-753

Originalartikel in begutachteter internationaler Zeitschrift

Disintegration process of surface stabilized sol-gel TiO 2 nanoparticles by population balances

Gokhale, Y. P.; Kumar, Rajesh; Kumar, Jitendra; Hintz, Werner; Warnecke, Gerald; Tomas, Jürgen

In: Chemical engineering science - journal internat. de génie chimique - Amsterdam: Elsevier, 1951, Bd. 64.2009, 24, S. 5302-5307

Originalartikel in begutachteter internationaler Zeitschrift

Modeling of the modulation by buffers of Ca 2+ release through clusters of IP 3 receptors

Zeller, S.; Rüdiger, S.; Engel, H.; Sneyd, J.; Warnecke, Gerald; Parker, I.; Falcke, M.

In: Biophysical journal . - Bethesda, Md. : Biophysical Soc., Bd. 97.2009, 4, S. 992-1002

Originalartikel in begutachteter internationaler Zeitschrift

On the solution of population balances for nucleation, growth, aggregation and breakage processes

Qamar, Shamsul; Warnecke, Gerald; Elsner, Martin Peter

In: Chemical engineering science . - Amsterdam : Elsevier, Bd. 64.2009, 9, S. 2088-2095

Originalartikel in begutachteter internationaler Zeitschrift

Local oscillations in finite difference solutions of hyperbolic conservation laws

Li, Jiequan; Tang, Huazhong; Warnecke, Gerald; Zhang, Lumei

In: Mathematics of computation . - Providence, RI : Soc., Bd. 78.2009, 268, S. 1997-2018

2008

Buchbeitrag

A note on sectional and finite volume methods for solving population balance equations

Kumar, Jitendra; Warnecke, Gerald; Peglow, Mirko; Tsotsas, Evangelos

In: Micro-macro-interactions . - Berlin [u.a.] : Springer, ISBN 978-3-540-85714-3, S. 285-297

Buchbeitrag

Population balance modelling for agglomeration and disintegration of nanoparticles

Gokhale, Yashodhan Pramod; Kumar, Jitendra; Hintz, Werner; Warnecke, Gerald; Tomas, Jürgen

In: Micro-macro-interactions - in structured media and particle systems - Berlin : Springer , 2008, S. 299-309

Buchbeitrag

Predigt beim Akademischen Gottesdienst am 23. Januar 2005 in der Wallonerkirche zu Magdeburg

Warnecke, Gerald

In: Predigten der Magdeburger Akademischen Gottesdienste 2001 bis 2007 . - Magdeburg : Univ., Evangel. Hochschulpfarramt, S. 167-176, 2008

Originalartikel in begutachteter internationaler Zeitschrift

Three-dimensional numerical study of heat and mass transfer in fluidized beds with spray nozzle

Nagaiah, Chamakuri; Warnecke, Gerald; Heinrich, Stefan; Peglow, Mirko

In: Computers & chemical engineering: CACE ; an international journal - Amsterdam [u.a.]: Elsevier, 1977, Bd. 32.2008, 12, S. 2877-2890

Originalartikel in begutachteter internationaler Zeitschrift

Numerical solutions of population balance models in preferential crystallization

Qamar, Shamsul; Ashfaq, A.; Angelov, I.; Elsner, M. P.; Warnecke, Gerald; Seidel-Morgenstern, Andreas

In: Chemical engineering science . - Amsterdam : Elsevier, Bd. 63.2008, 5, S. 1342-1352

Originalartikel in begutachteter internationaler Zeitschrift

A laplace transformation based technique for reconstructing crystal size distributions regarding size independent growth

Qamar, Shamsul; Warnecke, Gerald; Elsner, Martin Peter; Seidel-Morgenstern, Andreas

In: Chemical engineering science . - Amsterdam : Elsevier, Bd. 63.2008, 8, S. 2233-2240

Originalartikel in begutachteter internationaler Zeitschrift

Convergence analysis of sectional methods for solving breakage population balance equations-II - the cell average technique

Kumar, Jitendra; Warnecke, Gerald

In: Numerische Mathematik . - Berlin : Springer, Bd. 110.2008, 4, S. 539-559

Originalartikel in begutachteter internationaler Zeitschrift

An efficient numerical technique for solving population balance equation involving aggregation, breakage, growth and nucleation

Kumar, Jitendra; Peglow, Mirko; Warnecke, Gerald; Heinrich, Stefan

In: Powder technology . - Amsterdam [u.a.] : Elsevier, Bd. 182.2008, 1, S. 81-104

Originalartikel in begutachteter internationaler Zeitschrift

Adaptive numerical simulation of intracellular calcium dynamics using domain decomposition methods

Nagaiah, Ch.; Rüdiger, S.; Warnecke, Gerald; Falcke, M.

In: Applied numerical mathematics . - Amsterdam [u.a.] : North-Holland Publ. Co., Bd. 58.2008, 11, S. 1658-1674

Originalartikel in begutachteter internationaler Zeitschrift

Convergence analysis of sectional methods for solving breakage population balance equations-I - the fixed pivot technique

Kumar, Jitendra; Warnecke, Gerald

In: Numerische Mathematik . - Berlin : Springer, Bd. 111.2008, 1, S. 81-108

Originalartikel in begutachteter internationaler Zeitschrift

The cell average technique for solving multi-dimensional aggregation population balance equations

Kumar, Jitendra; Peglow, Mirko; Warnecke, Gerald; Heinrich, Stefan

In: Computers & chemical engineering: CACE ; an international journal - Amsterdam [u.a.]: Elsevier, 1977, Bd. 32.2008, 8, S. 1810-1830

Originalartikel in begutachteter internationaler Zeitschrift

Analytical and numerical investigations of a batch crystallization model

Qamar, Shamsul; Warnecke, Gerald

In: Journal of computational and applied mathematics . - Amsterdam [u.a.] : North-Holland, Bd. 222.2008, 2, S. 715-731

2007

Buchbeitrag

Numerical methods on population balances

Kumar, Jitendra; Peglow, Mirko; Warnecke, Gerald; Heinrich, Stefan; Tsotsas, Evangelos; Mörl, Lothar; Hounslow, Mike; Reynolds, Gavin

In: Modern drying technology. Vol. 1: Computational tools at different scales, Tsotsas, Evangelos *1959-* - Weinheim: Wiley-VCH . - 2007, S. 209-260

Originalartikel in begutachteter internationaler Zeitschrift

Study on a cross diffusion parabolic system

Chen, Li; Hsiao, Ling; Warnecke, Gerald

In: Acta mathematicae applicatae sinica / English series - Berlin: Springer, Bd. 23 (2007), 1, S. 9-28

Originalartikel in begutachteter internationaler Zeitschrift

Numerical solution of population balance equations for nucleation, growth and aggregation processes

Qamar, Shamsul; Warnecke, Gerald

In: Computers & chemical engineering: CACE ; an international journal - Amsterdam [u.a.]: Elsevier, Bd. 31 (2007), 12, S. 1576-1589

Originalartikel in begutachteter internationaler Zeitschrift

Adaptive high-resolution schemes for multidimensional population balances in crystallization processes

Qamar, Shamsul; Ashfaq, Azhar; Warnecke, Gerald; Angelov, I.; Elsner, M. P.; Seidel-Morgenstern, Andreas

In: Computers & chemical engineering: CACE ; an international journal - Amsterdam [u.a.]: Elsevier, Bd. 31 (2007), 10, S. 1296-1311

Originalartikel in begutachteter internationaler Zeitschrift

Finite volume evolution Galerkin (FVEG) methods for three-dimensional wave equation system

Medviďová-Lukáčová, Mária; warnecke, Gerald; Zahaykah, Yousef

In: Applied numerical mathematics: transactions of IMACS / International Association for Mathematics and Computers in Simulation - Amsterdam [u.a.]: North-Holland Publ. Co., Bd. 57 (2007), 9, S. 1050-1064

Originalartikel in begutachteter internationaler Zeitschrift

On convergence of a domain decomposition method for a scalar convervation law

Tang, Huazhong; Warnecke, Gerald

In: SIAM journal on numerical analysis . - Philadelphia, Pa. : SIAM, Bd. 45.2007, 4, S. 1453-1471

Originalartikel in begutachteter internationaler Zeitschrift

An efficient numerical technique for solving population balance equation involving aggregation, breakage, growth and nucleation

Kumar, Jitendra; Peglow, Mirko; Warnecke, Gerald; Heinrich, Stefan

In: Powder technology: an international journal on the science and technology of wet and dry particulate systems - Amsterdam [u.a.]: Elsevier, Bd. 179 (2007), S. 205-228

Originalartikel in begutachteter internationaler Zeitschrift

On the stability of evolution Galerkin schemes applied to a two-dimensional wave equation system

Medviďová-Lukáčová, Mária; Warnecke, Gerald; Zahaykah, Yousef

In: SIAM journal on numerical analysis: a publication of the Society for Industrial and Applied Mathematics/ Society for Industrial and Applied Mathematics - Philadelphia, Pa.: SIAM, Bd. 44 (2007), 4, S. 1556-1583

Originalartikel in begutachteter internationaler Zeitschrift

A high-resolution space-time conservative method for non-linear hyperbolic conservation laws

Qurrat-Ul-Ain,; Qamar, Shamsul; Warnecke, Gerald

In: International journal of computational methods - Singapore [u.a.]: World Scientific Publishing, Bd. 4 (2007), 2, S. 223-247

Originalartikel in begutachteter internationaler Zeitschrift

Hybrid stochastic and deterministic simulations of calcium blips

Rüdiger, S.; Shuai, J. W.; Huisinga, W.; Nagaiah, Chamakuri; Warnecke, Gerald; Parker, I.; Falcke, M.

In: Biophysical journal: BJ / ed. by the Biophysical Society - Bethesda, Md.: Biophysical Soc., Bd. 93 (2007), 6, S. 1847-1857

2006

Anderes Material

Application of space-time CE/SE method to shallow water magnetohydrodynamic equations

Qamar, Shamsul; Warnecke, Gerald

In: Journal of computational and applied mathematics . - Amsterdam [u.a.] : North-Holland, Bd. 196.2006, 1, S. 132-149; Abstract

Buchbeitrag

A population balance model for simulationeous drying and agglomeration

Peglow, Mirko; Kumar, Jitendra; Tsotsas, Evangelos; Heinrich, Stefan; Warnecke, Gerald; Mörl, Lothar

In: Drying 2006 - Gödöllő: Univ., S. 219-226Kongress: International Drying Symposium 15 (Budapest, Hungary : 2006.08.20-23

Buchbeitrag

A high order gas kinetic method for the relativistic Euler equations

Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald

In: Hyperbolic problems: theory, numerics and applications; Vol. 2: . - Yokohoma : Yokohama Publ., ISBN 4-946552-22-7, S. 141-148, 2006Kongress: Hyp2004; 10 (Osaka) : 2004.09.13-17International Conference on Hyperbolic Problems; 10 (Osaka) : 2004.09.13-17

Originalartikel in begutachteter internationaler Zeitschrift

A comparative study of high resolution schemes for solving population balances in crystallization

Qamar, Shamsul; Elsner, M. P.; Angelov, I. A.; Warnecke, Gerald; Seidel-Morgenstern, Andreas

In: Computers & chemical engineering . - Amsterdam [u.a.] : Elsevier Science, Bd. 30.2006, 6/7, S. 1119-1131; Abstract

Originalartikel in begutachteter internationaler Zeitschrift

Numerical simulation of dendritic crystal growth

Müller, Rüdiger; Warnecke, Gerald

In: Proceedings in applied mathematics and mechanics: PAMM - Weinheim [u.a.]: Wiley-VCH, Bd. 6 (2006), 1, S. 751-752

Originalartikel in begutachteter internationaler Zeitschrift

High resolution schemes for conservation laws and convection-diffusion equations with varying time and space grids

Tang, Hua-Zhong; Warnecke, Gerald

In: Journal of computational mathematics: an international journal on numerical methods, analysis and applications - Beijing: Chinese Acad. of Mathematics and System Sciences, Bd. 24 (2006), 2, S. 121-140

Originalartikel in begutachteter internationaler Zeitschrift

Numerical simulation of temperature and concentration distributions in fluidized beds with liquid injection

Nagaiah, Chamakuri; Warnecke, Gerald; Heinrich, Stefan; Peglow, Mirko

In: Chemical engineering science: journal internat. de génie chimique - Amsterdam: Elsevier, Bd. 62.2007, 6, S. 1567-1590, 2006

Originalartikel in begutachteter internationaler Zeitschrift

Solving population balance equations for two-component aggregation by a finite volume scheme

Qamar, Shamsul; Warnecke, Gerald

In: Chemical engineering science - Amsterdam: Elsevier, Bd. 62 (2007), 3, S. 679-693, 2006

Originalartikel in begutachteter internationaler Zeitschrift

A direct Eulerian GRP scheme for compressible fluid flows

Ben-Artzi, Matania; Li, Jiequan; Warnecke, Gerald

In: Journal of computational physics - Amsterdam: Elsevier, Bd. 218 (2006), 1, S. 19-43

Originalartikel in begutachteter internationaler Zeitschrift

A generic population balance model for simultaneous agglomeration and drying in fluidized beds

Peglow, Mirko; Kumar, Jitendra; Heinrich, Stefan; Warnecke, Gerald; Tsotsas, Evangelos; Mörl, Lothar; Wolf, Bertram

In: Chemical engineering science: journal internat. de génie chimique - Amsterdam: Elsevier, Bd. 62.2007, 1/2, S. 513-532, 2006

Originalartikel in begutachteter internationaler Zeitschrift

Partioning methods for reaction-diffusion problems

Heineken, Wolfram; Warnecke, Gerald

In: Applied numerical mathematics . - Amsterdam [u.a.] : North-Holland Publ. Co., Bd. 56.2006, 7, S. 981-1000; Abstract

Originalartikel in begutachteter internationaler Zeitschrift

A discretized model for tracer population balance equation - improved accuracy and convergence

Kumar, Jitendra; Peglow, Mirko; Warnecke, Gerald; Heinrich, Stefan; Mörl, Lothar

In: Computers & chemical engineering . - Amsterdam [u.a.] : Elsevier Science, Bd. 30.2006, 8, S. 1278-1292; Abstract

Originalartikel in begutachteter internationaler Zeitschrift

Improved accuracy and convergence of discretized population balance for aggregation - the cell average technique

Kumar, Jitendra; Peglow, Mirko; Warnecke, Gerald; Heinrich, Stefan; Mörl, Lothar

In: Chemical engineering science: journal internat. de génie chimique - Amsterdam: Elsevier, Bd. 61.2006, 10, S. 3327-3342

Originalartikel in begutachteter internationaler Zeitschrift

An improved discretized tracer mass distribution of Hounslow et al.

Peglow, Mirko; Kumar, Jitendra; Warnecke, Gerald; Heinrich, Stefan; Tsotsas, Evangelos; Mörl, Lothar

In: AIChE journal - Hoboken, NJ: Wiley, Bd. 52.2006, 4, S. 1326-1332

Originalartikel in begutachteter internationaler Zeitschrift

A space-time conservative method for hyperbolic systems with stiff and non stiff source terms

Qamar, Shamsul; Warnecke, Gerald

In: Communications in computational physics . - Wanchai : Global Science Press, Bd. 1.2006, 3, S. 451-480

Originalartikel in begutachteter internationaler Zeitschrift

A new technique to determine rate constants for growth and agglomeration with size- and time-dependent nuclei formation

Peglow, Mirko; Kumar, Jitendra; Warnecke, Gerald; Heinrich, Stefan; Mörl, Lothar

In: Chemical engineering science . - Amsterdam : Elsevier, Bd. 61.2006, 1, S. 282-292

2005

Buchbeitrag

A space-time conservative finite volume scheme for hyperbolic conservation laws.

Ain, Qurrat-Ul; Qamar, Shamsul; Warnecke, Gerald

In: Benkhaldoun, Fayssal (Hrsg.) ; Quazar, Driss (Hrsg.) ; Raghay, Said (Hrsg.): Finite volumes for complex applications IV. London [u.a.] : Hermes Science Publ., 2005, S. 459 - 470

Artikel in Kongressband

High resolution schemes for solving population balances in crystallization.

Qamar, Shamsul; Elsner, M.P.; Angelov, Angel; Warnecke, Gerald; Seidel-Morgenstern, Andreas

In: L'Ôcole Nationale de l'Industrie Minérale (Veranst.): D'Analyse numerique et optimisation, JAN 08(8. journées, Rabat, 14 au 16 Decembre, 2005). - actes. Rabat, 2005, S. 442 - 447

Originalartikel in begutachteter internationaler Zeitschrift

A BGK-type flux-vector splitting scheme for the ultrarelativistic euler equations.

Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald

In: SIAM journal on scientific computing [Philadelphia, Pa.] 26(2004), Nr. 1, S. 196 - 223

Originalartikel in begutachteter internationaler Zeitschrift

A reduction of the Boltzmann-Peierls equation.

Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald

In: International journal of computational methods [Singapore] 2(2005), Nr. 2, S. 213 - 229

Originalartikel in begutachteter internationaler Zeitschrift

A class of high resolution difference schemes for nonlinear Hamilton-Jacobi equations with varying time and space grids.

Tang, Huazhong; Warnecke, Gerald

In: SIAM journal on scientific computing [Philadelphia, Pa.] 26(2005), Nr. 4, S. 1415 - 1431

Originalartikel in begutachteter internationaler Zeitschrift

A high order kinetic Flux-splitting method for the special relativistic hydrodynamics.

Qamar, Shamsul; Warnecke, Gerald

In: International journal of computational methods [Singapore] 2(2005), Nr. 1, S. 49 - 74

Originalartikel in begutachteter internationaler Zeitschrift

A high-order kinetic flux-splitting method for the relativistic magnetohydrodynamics.

Qamar, Shamsul; Warnecke, Gerald

In: Journal of computational physics [Orlando, Fl.] 205(2005), S. 182 - 204

Originalartikel in begutachteter internationaler Zeitschrift

A Runge-Kutta discontinuous galerkin method for the euler equations.

Tang, Huazhong; Warnecke, Gerald

In: Computers & fluids : an international journal [New York, NY] 34(2005), S. 375 - 398

2004

Originalartikel in begutachteter internationaler Zeitschrift

The Riemann problem for the Baer-Nunziato two-phase flow model.

Andrianov, Nikolai; Warnecke, Gerald

In: Journal of computational physics [Orlando, Fl.] 195(2004), S. 434 - 464

Originalartikel in begutachteter internationaler Zeitschrift

Finite volume evolution Galerkin methods for hyperbolic systems.

Lukacoava-Medvidova, M.; Morton, K.W.; Warnecke, Gerald

In: SIAM journal on scientific computing [Philadelphia, Pa.] 26(2004), Nr. 1, S. 1 - 30

Originalartikel in begutachteter internationaler Zeitschrift

Asymptotic stability of traveling waves for viscous consservation laws with dispersion.

Pan, Jun; Warnecke, Gerald

In: Advances in differential equations [Athens, Ohio] 9(2004), Nr. 9/10, S. 1167 - 1184

Originalartikel in begutachteter internationaler Zeitschrift

On the boundary conditions for EG methods applied to the two-dimensional wave equation system.

Lukacova-Medvid'ova, M.; Warnecke, Gerald; Zahaykah, Yousef

In: Zeitschrift für angewandte Mathematik und Mechanik : ZAMM [Berlin] 84(2004), Nr. 4, S. 237 - 251

Originalartikel in begutachteter internationaler Zeitschrift

Kinetic schemes for the relativistic gas dynamics.

Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald

In: Numerische Mathematik [Berlin] 97(2004), S. 159 - 191

Originalartikel in begutachteter internationaler Zeitschrift

On evolution galerkin methods for the maxwell and the linearized Euler equations.

Kunik, Matthias; Rang, Joachim; Warnecke, Gerald; Zahaykah, Yousef

In: Applications of mathematics [Praha] 49(2004), Nr. 5, S. 415 - 439

Originalartikel in begutachteter internationaler Zeitschrift

A note on (2K+1)-point conservative monotone schemes.

Tang, Huazhong; Warnecke, Gerald

In: Mathematical modelling and numerical analysis [Les Ulis] 38(2004), Nr. 2, S. 345 - 357

Originalartikel in begutachteter internationaler Zeitschrift

A note on (2k + 1)-point conservative monotone schemes.

Huazhong, Tang; Warnecke, Gerald

In: RAIRO /AFCET, Mathematical modelling and numerical analysis [Paris] 38(2004), Nr. 2, S. 345 - 357

Originalartikel in begutachteter internationaler Zeitschrift

On the solution to the Riemann problem for the compressible duct flow.

Andrianov, Nikolai; Warnecke, Gerald

In: Siam journal on applied mathematics [Philadelphia] 64(2004), Nr. 3, S. 878 - 901

Originalartikel in begutachteter internationaler Zeitschrift

Simulation of multicomponent flows using high order central schemes.

Qamar, Shamsul; Warnecke, Gerald

In: Applied numerical mathematics [Amsterdam] 50(2004), S. 183 - 201

2003

Buchbeitrag

Introduction.

Greven, Andreas; Keller, Gerhard; Warnecke, Gerald

In: Greven, Andreas (Hrsg.) ; Keller, Gerhard (Hrsg.) ; Warnecke, Gerald (Hrsg.): Entropy. Princeton [u.a.] : Princeton Univ. Press, 2003, S. 1 - 16 (Princeton series in applied mathematics)

Buchbeitrag

The Riemann problem for a two-phase model.

Andrianov, Nikolai; Saurel, Richard; Warnecke, Gerald

In: Hou, Thomas Y. (Hrsg.) ; Tadmor, Eitan (Hrsg.): Hyperbolic problems : theory, numerics, applications (9th international conference Pasadena, Calif. March 25-29 2002). - proceedings. Berlin [u.a.] : Springer, 2003, S. 275 - 284

Originalartikel in begutachteter internationaler Zeitschrift

Evolution Galerkin schemes applied to two-dimensional Riemann problems for the wave equation system.

Li, Jiequan; Lukacova-Medvidova, Maria; Warnecke, Gerald

In: Discrete and continuous dynamical systems [Springfield, Mo.] 9(2003), Nr. 3, S. 559 - 576

Originalartikel in begutachteter internationaler Zeitschrift

Kinetic schemes for the ultra-relativistic Euler equations.

Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald

In: Journal of computational physics [Orlando, Fl.] 187(2003), S. 572 - 596

Originalartikel in begutachteter internationaler Zeitschrift

Third order finite volume evolution Galerkin (FVEG) methods for two-dimensional wave equation system.

Kunik, Matthias; Warnecke, Gerald; Zahaykah, Yousef

In: Journal of numerical mathematics [Utrecht] 11(2003), Nr. 3, S. 235 - 251

Originalartikel in begutachteter internationaler Zeitschrift

Second-order accurate kinetic schemes for the ultra-relativistic Euler equations. , S. 695 - 726

Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald

In: Journal of computational physics [Orlando, Fl.] 192(2003)

Originalartikel in begutachteter internationaler Zeitschrift

Generalized characteristics and the uniqueness of entropy solutions to zero-pressure gas dynamics.

Li, Jiequan; Warnecke, Gerald

In: Advances in differential equations [Athens, Ohio] 8(2003), Nr. 8, S. 961 - 1004

Originalartikel in begutachteter internationaler Zeitschrift

Existence and uniqueness of solutions for a non-uniformly parabolic equation.

Wang, Jinghua; Warnecke, Gerald

In: Journal of differential equations [Orlando, Florida] 189(2003), S. 1 - 16

Originalartikel in begutachteter internationaler Zeitschrift

A simple method for compressible multiphase mixtures and interfaces.

Andrianov, Nikolai; Saurel, Richard; Warnecke, Gerald

In: International journal for numerical methods in fluids [Chichester] 41(2003), S. 109 - 131

2002

Originalartikel in begutachteter internationaler Zeitschrift

Finite volume evolution Galerkin methods for nonlinear hyperbolic systems.

Lukacova-Medvid'ova, M.; Saibertova, J.; Warnecke, Gerald

In: Journal of computational physics [Orlando, Fl.] 183(2002), S. 533 - 562

Originalartikel in begutachteter internationaler Zeitschrift

On measure solutions to the zero-pressure gas model and their uniqueness.

Li, Jiequan; Warnecke, Gerald

In: Mathematica bohemica [Praha] 127(2002), Nr. 2, S. 265 - 273

Originalartikel in begutachteter internationaler Zeitschrift

Error bounds for the large time step Glimm scheme applied to scalar conservation laws.

Huang, Jinyang; Wang, Jinghua; Warnecke, Gerald

In: Numerische Mathematik [Berlin] 91(2002), S. 13 - 34

2001

Buchbeitrag

Finite volume evolution galerkin methods for multidimensional hyperbolic systems.

Lukacova-Medvidova, Maria; Morton, K.W.; Warnecke, Gerald

In: Toro, E. F. (Hrsg.): Godunov Methods : theory and applications. New York : Kluwer Academic, 2001, S. 571 - 576

Buchbeitrag

Unconditionally stable explicit schemes for the approximation of conservation laws.

Helzel, Christiane; Warnecke, Gerald

In: Fiedler, Bernold (Hrsg.): Ergodic theory, analysis, and efficient simulation of dynamical systems. Berlin : Springer, 2001, S. 775 - 803

Originalartikel in begutachteter internationaler Zeitschrift

Convergence rates to discrete shocks for nonconvex conservation laws.

Hailiang Liu,; Wang, Jinghua; Warnecke, Gerald

In: Numerische Mathematik [Berlin] 88(2001), Nr. 3, S. 513 - 541

Originalartikel in begutachteter internationaler Zeitschrift

Convergence of a splitting scheme applied to the Ruijgrok-Wu model of the Boltzmann equation.

Liu, Hailiang; Wang, Jinghua; Warnecke, Gerald

In: Journal of computational and applied mathematics [Amsterdam] 134(2001), S. 343 - 367

Originalartikel in begutachteter internationaler Zeitschrift

Adaption and reliability of numerical methods for stiff and nonstiff problems in CFD.

Warnecke, Gerald

In: Computational fluid dynamics journal [Tokyo] 9(2001), Nr. 1, S. 540 - 548

2000

Buchbeitrag

Initial effects and convergence rates for relaxation methods.

Hailiang, Liu; Warnecke, Gerald

In: Fiedler, Bernold (Hrsg.) ; ... (Hrsg.): EQUADIFF '99 (international conference on Differential Equations, Berlin 1. - 7. August 1999). vol. 1. - proceedings. Singapore : World Scientific, 2000, S. 301 - 307

Buchbeitrag

Adaptive numerics for the simulation of magneto-plasmadynamic rocket thrusters.

Iben, Uwe; Warnecke, Gerald; Heiermann, J.; Auweter-Kurtz, M.

In: Neittaanmäki, Pekka (Hrsg.) ; ... (Hrsg.): Numerical mathematics and advanced applications, ENUMATH '99 (3rd European conference Jyväskylä 26. - 30.07, 1999). - proceedings. River Edge, NJ : World Scientific, 2000, S. 121 - 130

Buchbeitrag

Evolution Galerkin methods for multidimensional hyperbolic systems.

Lukacova-Medvidova, Maria; Morton, K.W.; Warnecke, Gerald

In: Computational methods in applied sciences and engineering, ECCOMAS 2000 (European congress Barcelona, 11-14 September 2000). - proceedings. Barcelona : CIMNE, 2000, [14 S.]

Buchbeitrag

High-resolution finite volume evolution Galerkin schemes for multidimensional hyperbolic conservation laws.

Lukacova-Medvidova, Maria; Morton, K.W.; Warnecke, Gerald

In: Neittaanmäki, Pekka (Hrsg.) ; ... (Hrsg.): Numerical mathematics and advanced applications, ENUMATH '99 (3rd European conference Jyväskylä 26. - 30.07, 1999). - proceedings. River Edge, NJ : World Scientific, 2000, S. 633 - 640

Artikel in Kongressband

Numerical schemes based on bicharacteristics for hyperbolic systems.

Lukacova-Medvidova, Maria; Warnecke, Gerald; Zahaykah, Yousef

In: CIMASI' 2000 (Third international conference on applied mathematics and engineering sciences Casablanca, Marocco October 23- 24 -24, 2000). Casablanca, 2000, Beitrag auf CD- ROM, [6 S.]

Originalartikel in begutachteter internationaler Zeitschrift

Convergence rates for relaxation schemes approximating conservation laws.

Liu, Hailiang; Warnecke, Gerald

In: SIAM journal on numerical analysis [Philadelphia] 37(2000), Nr. 4, S. 1316 - 1337

Originalartikel in begutachteter internationaler Zeitschrift

Lax-Wendroff type second order evolution Galerkin methods for multidimensional hyperbolic systems.

Kunik, Matthias; Warnecke, Gerald

In: East-west journal of numerical mathematics [Zeist] 8(2000), Nr. 2, S. 127 - 152

Originalartikel in begutachteter internationaler Zeitschrift

The LIP+ - stability and error estimates for a relaxation scheme.

Liu, Hailiang; Wang, Jinghua; Warnecke, Gerald

In: SIAM journal on numerical analysis [Philadelphia] 38(2000), Nr. 4, S. 1154 - 1170

Originalartikel in begutachteter internationaler Zeitschrift

Evolution galerkin methods for hyperbolic systems in two space dimensions.

Kunik, Matthias; Morton, K.W.; Warnecke, Gerald

In: Mathematics of computation [Washington, DC] 69(2000), Nr. 232, S. 1355 - 1384

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