Edit Profile (opens in new tab) Warnecke, Gerald G. Co-Author Distance Author ID: warnecke.gerald-g Published as: Warnecke, Gerald; Warnecke, G.; Warnecke, Gerald G. more...less Documents Indexed: 114 Publications since 1985, including 2 Books 4 Contributions as Editor Reviewing Activity: 229 Reviews Co-Authors: 57 Co-Authors with 108 Joint Publications 1,472 Co-Co-Authors all top 5 Co-Authors 7 single-authored 17 Lukáčová-Medvid’ová, Mária 16 Qamar, Shamsul 10 Hantke, Maren 8 Kunik, Matthias 8 Wang, Jinghua 7 Kumar, Jitendra 7 Liu, Hailiang 7 Morton, Keith William 6 Li, Jiequan 6 Tang, Huazhong 5 Zahaykah, Yousef 4 Andrianov, Nikolai 4 Falcke, Martin 4 Ssemaganda, Vincent 4 Wendland, Wolfgang L. 3 Berger, Harald 3 Dreyer, Wolfgang 3 Giri, Ankik Kumar 3 Göhner, Uli 3 Han, Ee 3 Matern, Christoph 3 Nagaiah, Chamakuri 3 Rüdiger, Sten 2 Camejo, Carlos Cueto 2 Felcman, Jiří 2 Greven, Andreas 2 Gröpler, Robin 2 Helzel, Christiane 2 Keller, Gerhard 2 Kumar, Rajesh S. 2 Qurrat-ul-Ain 2 Saibertová, Jitka 2 Saurel, Richard 2 Süli, Endre E. 2 Zein, Ali 1 Achchab, Boujemaa 1 Ashfaq, Aisha 1 Auweter-Kurtz, Monika 1 Badenjki, Abdulatif 1 Ben-Artzi, Matania 1 Benjouad, Abdelghani 1 Chamakuri, Nagaiah 1 Chen, Li 1 Duderstadt, Frank 1 El Fatini, Mohamed 1 Elsner, M. P. 1 Feistauer, Miloslav 1 Freistühler, Heinrich 1 Heiermann, Jörg 1 Heineken, Wolfram 1 Holstein, Katharina 1 Houston, Paul 1 Hsiao, Ling 1 Huang, Jinyang 1 Iben, Uwe 1 Keyfitz, Barbara Lee 1 Laurençot, Philippe 1 LeVeque, Randall J. 1 Neubert, Wilhelm 1 Pan, Jun 1 Seidel-Morgenstern, Andreas 1 Sonar, Thomas 1 Souissi, Ali 1 Vierheller, Janine 1 Yaghi, Hazem 1 Zhang, Hui 1 Zhang, Lumei all top 5 Serials 8 Numerische Mathematik 7 Journal of Computational Physics 7 SIAM Journal on Numerical Analysis 6 SIAM Journal on Scientific Computing 5 Applied Numerical Mathematics 4 Journal of Computational and Applied Mathematics 3 International Journal for Numerical Methods in Fluids 3 Mathematical Methods in the Applied Sciences 3 Mathematics of Computation 3 Quarterly of Applied Mathematics 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 International Journal of Computational Methods 2 Applied Mathematics and Computation 2 Applications of Mathematics 2 Continuum Mechanics and Thermodynamics 2 Methods and Applications of Analysis 2 Advances in Differential Equations 1 Computers and Fluids 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Mathematische Semesterberichte 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Commentationes Mathematicae Universitatis Carolinae 1 Journal of Differential Equations 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Journal of Computational Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Numerical Methods for Partial Differential Equations 1 Mathematica Bohemica 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 SIAM Journal on Applied Mathematics 1 East-West Journal of Numerical Mathematics 1 Discrete and Continuous Dynamical Systems 1 Journal of Applied Analysis 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Journal of Numerical Mathematics 1 Multiscale Modeling & Simulation 1 Communications in Mathematical Sciences 1 Journal of Hyperbolic Differential Equations 1 Oberwolfach Reports 1 ISNM. International Series of Numerical Mathematics 1 Teubner-Texte zur Mathematik 1 Communications in Computational Physics 1 Kinetic and Related Models 1 Princeton Series in Applied Mathematics all top 5 Fields 65 Numerical analysis (65-XX) 64 Partial differential equations (35-XX) 54 Fluid mechanics (76-XX) 17 Statistical mechanics, structure of matter (82-XX) 7 Integral equations (45-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 General and overarching topics; collections (00-XX) 3 Ordinary differential equations (34-XX) 3 Biology and other natural sciences (92-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 91 Publications have been cited 951 times in 669 Documents Cited by ▼ Year ▼ The Riemann problem for the Baer-Nunziato two-phase flow model. Zbl 1115.76414Andrianov, Nikolai; Warnecke, Gerald 96 2004 A direct Eulerian GRP scheme for compressible fluid flows. Zbl 1158.76375Ben-Artzi, Matania; Li, Jiequan; Warnecke, Gerald 64 2006 Modeling phase transition for compressible two-phase flows applied to metastable liquids. Zbl 1307.76079Zein, Ali; Hantke, Maren; Warnecke, Gerald 55 2010 A posteriori error analysis for numerical approximations of Friedrichs systems. Zbl 0935.65096Houston, Paul; Mackenzie, J. A.; Süli, Endre; Warnecke, Gerald 39 1999 On the solution to the Riemann problem for the compressible duct flow. Zbl 1065.35191Andrianov, Nikolai; Warnecke, Gerald 38 2004 A modified fractional step method for the accurate approximation of detonation waves. Zbl 0983.65105Helzel, Christiane; LeVeque, Randall J.; Warnecke, Gerald 33 2000 Error estimates for a combined finite volume-finite element method for nonlinear convection-diffusion problems. Zbl 0960.65098Feistauer, Miloslav; Felcman, Jirí; Lukácová-Medvid’ová, Mária; Warnecke, Gerald 28 1999 Evolution Galerkin methods for hyperbolic systems in two space dimensions. Zbl 0951.35076Lukácová-Medvid’ová, M.; Morton, K. W.; Warnecke, Gerald 26 2000 Finite volume evolution Galerkin methods for hyperbolic systems. Zbl 1078.65562Lukácová-Medvidová, M.; Morton, K. W.; Warnecke, G. 22 2004 Weak solutions to the continuous coagulation equation with multiple fragmentation. Zbl 1236.35017Giri, Ankik Kumar; Laurençot, Philippe; Warnecke, Gerald 21 2012 Exact Riemann solutions to compressible Euler equations in ducts with discontinuous cross-section. Zbl 1263.35178Han, Ee; Hantke, Maren; Warnecke, Gerald 21 2012 Kinetic schemes for the ultra-relativistic Euler equations. Zbl 1061.76068Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald 21 2003 Kinetic schemes for the relativistic gas dynamics. Zbl 1098.76056Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald 21 2004 The continuous coagulation equation with multiple fragmentation. Zbl 1205.82106Giri, Ankik Kumar; Kumar, Jitendra; Warnecke, Gerald 19 2011 Moment preserving finite volume schemes for solving population balance equations incorporating aggregation, breakage, growth and source terms. Zbl 1269.65137Kumar, Rajesh; Kumar, Jitendra; Warnecke, Gerald 19 2013 Exact solutions to the Riemann problem for compressible isothermal Euler equations for two-phase flows with and without phase transition. Zbl 1277.80009Hantke, Maren; Dreyer, Wolfgang; Warnecke, Gerald 18 2013 A simple method for compressible multiphase mixtures and interfaces. Zbl 1025.76025Andrianov, Nikolai; Saurel, Richard; Warnecke, Gerald 18 2003 Finite volume evolution Galerkin methods for nonlinear hyperbolic systems. Zbl 1090.65536Lukáčová-Medvid’ová, M.; Saibertová, J.; Warnecke, G. 17 2002 The existence of viscous profiles and admissibility for transonic shocks. Zbl 0741.35037Keyfitz, Barbara Lee; Warnecke, Gerald G. 16 1991 Convergence analysis of sectional methods for solving breakage population balance equations. I. The fixed pivot technique. Zbl 1154.65381Kumar, Jitendra; Warnecke, Gerald 16 2008 Finite elements for transonic potential flows. Zbl 0692.76061Berger, Harald; Warnecke, Gerald; Wendland, Wolfgang L. 15 1990 Convergence analysis of sectional methods for solving breakage population balance equations. II: The cell average technique. Zbl 1187.65146Kumar, Jitendra; Warnecke, Gerald 14 2008 Bubbles in liquids with phase transition. Zbl 1258.76160Dreyer, Wolfgang; Duderstadt, Frank; Hantke, Maren; Warnecke, Gerald 14 2012 Finite volume evolution Galerkin methods for Euler equations of gas dynamics. Zbl 1023.76026Lukáčová-Medvid’ová, M.; Morton, K. W.; Warnecke, G. 14 2002 Exact Riemann solutions to shallow water equations. Zbl 1298.76047Han, Ee; Warnecke, Gerald 13 2014 A Runge-Kutta discontinuous Galerkin method for the Euler equations. Zbl 1098.76044Tang, Huazhong; Warnecke, Gerald 12 2005 A high-order kinetic flux-splitting method for the relativistic magnetohydrodynamics. Zbl 1087.76090Qamar, Shamsul; Warnecke, Gerald 12 2005 Second-order accurate kinetic schemes for the ultra-relativistic Euler equations. Zbl 1117.76308Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald 12 2003 Convergence rates for relaxation schemes approximating conservation laws. Zbl 0954.35108Liu, Hailiang; Warnecke, Gerald 11 2000 High resolution schemes for conservation laws and convection-diffusion equations with varying time and space grids. Zbl 1100.65071Tang, Huazhong; Warnecke, Gerald 10 2006 Application of space-time CE/SE method to shallow water magnetohydrodynamic equations. Zbl 1168.76385Qamar, Shamsul; Warnecke, Gerald 10 2006 Existence and uniqueness of solutions for a non-uniformly parabolic equation. Zbl 1012.35048Wang, Jinghua; Warnecke, Gerald 9 2003 Generalized characteristics and the uniqueness of entropy solutions to zero-pressure gas dynamics. Zbl 1035.35072Li, Jiequan; Warnecke, Gerald 9 2003 Regular solutions to the coagulation equations with singular kernels. Zbl 1323.45006Camejo, Carlos Cueto; Gröpler, Robin; Warnecke, Gerald 8 2015 A BGK-type flux-vector splitting scheme for the ultrarelativistic Euler equations. Zbl 1071.82049Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald 8 2004 Entropy. Zbl 1187.00001 8 2003 Local oscillations in finite difference solutions of hyperbolic conservation laws. Zbl 1198.65169Li, Jiequan; Tang, Huazhong; Warnecke, Gerald; Zhang, Lumei 7 2009 Convergence analysis of a finite volume scheme for solving non-linear aggregation-breakage population balance equations. Zbl 1316.65116Kumar, Rajesh; Kumar, Jitendra; Warnecke, Gerald 7 2014 Analysis of a FEM/BEM coupling method for transonic flow computations. Zbl 0898.76054Berger, Harald; Warnecke, Gerald; Wendland, Wolfgang L. 7 1997 The singular kernel coagulation equation with multifragmentation. Zbl 1334.45012Camejo, Carlos Cueto; Warnecke, Gerald 6 2015 Uniqueness for the coagulation-fragmentation equation with strong fragmentation. Zbl 1238.45008Giri, Ankik Kumar; Warnecke, Gerald 6 2011 Lax-Wendroff type second order evolution Galerkin methods for multidimensional hyperbolic systems. Zbl 0959.65104Lukáčová-Medvid’ová, M.; Warnecke, Gerald 6 2000 On the stability of evolution Galerkin schemes applied to a two-dimensional wave equation system. Zbl 1122.65079Lukàčová-Medviďová, M.; Warnecke, G.; Zahaykah, Y. 6 2006 A class of high resolution difference schemes for nonlinear Hamilton-Jacobi equations with varying time and space grids. Zbl 1079.65092Tang, Huazhong; Warnecke, Gerald 6 2005 On the modeling and simulation of a laser-induced cavitation bubble. Zbl 1455.76195Zein, Ali; Hantke, Maren; Warnecke, Gerald 6 2013 On evolution Galerkin methods for the Maxwell and the linearized Euler equations. Zbl 1099.65088Lukáčová-Medvidová, Mária; Saibertová, Jitka; Warnecke, Gerald; Zahaykah, Yousef 5 2004 A high order kinetic flux-splitting method for the special relativistic hydrodynamics. Zbl 1189.76371Qamar, Shamsul; Warnecke, Gerald 5 2005 Partitioning methods for reaction-diffusion problems. Zbl 1105.65100Heineken, Wolfram; Warnecke, Gerald 5 2006 Evolution Galerkin schemes applied to two-dimensional Riemann problems for the wave equation system. Zbl 1032.65112Li, Jiequan; Lukáčová-Medviďová, Mária; Warnecke, Gerald 5 2003 The Riemann problem for a weakly hyperbolic two-phase flow model of a dispersed phase in a carrier fluid. Zbl 1440.35209Hantke, Maren; Matern, Christoph; Ssemaganda, Vincent; Warnecke, Gerald 5 2020 Asymptotic stability of traveling waves for viscous conservation laws with dispersion. Zbl 1103.35090Pan, Jun; Warnecke, Gerald 4 2004 Über das homogene Dirichlet-Problem bei nichtlinearen partiellen Differentialgleichungen vom Typ der Boussinesq-Gleichung. (On the homogeneous Dirichlet problem for nonlinear partial differential equations of Boussinesq type). Zbl 0638.35024Warnecke, Gerald 4 1987 Finite volume evolution Galerkin (FVEG) methods for three-dimensional wave equation system. Zbl 1119.65093Lukáčová-Medvid’ová, M.; Warnecke, G.; Zahaykah, Y. 4 2007 A note on moment preservation of finite volume schemes for solving growth and aggregation population balance equations. Zbl 1211.45009Kumar, Jitendra; Warnecke, Gerald 3 2010 Numerical approximations of a population balance model for coupled batch preferential crystallizers. Zbl 1167.82020Qamar, S.; Angelov, I.; Elsner, M. P.; Ashfaq, A.; Seidel-Morgenstern, A.; Warnecke, G. 3 2009 Evolution Galerkin methods for multidimensional hyperbolic systems. Zbl 0968.65070Lukáčová-Medvid’ová, M.; Morton, K. W.; Warnecke, Gerald 3 1998 Adaptive computational methods for gas flow. Zbl 0963.76555Felcman, Jiří; Warnecke, Gerald 3 1996 Convergence of relaxing schemes for conservation laws. Zbl 0933.35132Wang, Jinghua; Warnecke, Gerald 3 1998 Criteria for nonuniqueness of Riemann solutions to compressible duct flows. Zbl 1277.76091Han, Ee; Hantke, Maren; Warnecke, Gerald 3 2013 Robust a posteriori error estimates for subgrid stabilization of non-stationary convection dominated diffusive transport. Zbl 1244.65129Achchab, B.; Benjouad, A.; El Fatini, M.; Souissi, A.; Warnecke, G. 3 2012 Finite volume evolution Galerkin methods for multidimensional hyperbolic problems. Zbl 1052.65529Lukáčová-Medvid’ová, M.; Morton, K. W.; Warnecke, G. 3 1999 Adaptive numerical simulation of intracellular calcium dynamics using domain decomposition methods. Zbl 1148.76034Nagaiah, Ch.; Rüdiger, S.; Warnecke, G.; Falcke, M. 3 2008 Third order finite volume evolution Galerkin (FVEG) methods for two-dimensional wave equation system. Zbl 1057.65067Lukáčová-Medviďová, M.; Warnecke, G.; Zahaykah, Y. 3 2003 On the boundary conditions for EG methods applied to the two-dimensional wave equation system. Zbl 1052.65095Lukáčová-Medvid’ová, M.; Warnecke, G.; Zahaykah, Y. 3 2004 A note on \((2K+1)\)-point conservative monotone schemes. Zbl 1075.65113Tang, Huazhong; Warnecke, Gerald 3 2004 A high order positivity preserving DG method for coagulation-fragmentation equations. Zbl 1426.65146Liu, Hailiang; Gröpler, Robin; Warnecke, Gerald 3 2019 High-resolution finite volume evolution Galerkin schemes for multidimensional hyperbolic conservation laws. Zbl 0971.65090Lukáčová-Medviďová, M.; Morton, K. W.; Warnecke, Gerald 2 2000 Analytic methods in the theory of conservation laws. (Analytische Methoden in der Theorie der Erhaltungsgleichungen.) Zbl 0947.35005Warnecke, Gerald 2 1999 Über das homogene Dirichlet-Problem bei nichtlinearen partiellen Differentialgleichungen vom Typ der Boussinesq-Gleichung. (On the homogeneous Dirichlet problem for nonlinear partial differential equations of Boussinesq equation type). Zbl 0594.35086Warnecke, Gerald 2 1985 Admissibility of solutions to the Riemann problem for systems of mixed type - Transonic small disturbance theory. Zbl 0734.76031Warnecke, Gerald 2 1990 Coupling of FEM and BEM for transonic flows. Zbl 0835.76043Berger, Harald; Warnecke, Gerald; Wendland, Wolfgang L. 2 1994 On a posteriori error indication based on finite differences in triangular grids. Zbl 0925.65161Sonar, Thomas; Warnecke, Gerald 2 1998 Adaptive space and time numerical simulation of reaction-diffusion models for intracellular calcium dynamics. Zbl 1246.65017Nagaiah, Ch.; Rüdiger, S.; Warnecke, G.; Falcke, M. 2 2012 The lip\(^{+}\)-stability and error estimates for a relaxation scheme. Zbl 0980.35102Liu, Hailiang; Wang, Jinghua; Warnecke, Gerald 2 2000 Simulation of multicomponent flows using high order central schemes. Zbl 1143.76516Qamar, Shamsul; Warnecke, Gerald 2 2004 Bubbles in liquids with phase transition. II: On balance laws for mixture theories of disperse vapor bubbles in liquid with phase change. Zbl 1341.76032Dreyer, Wolfgang; Hantke, Maren; Warnecke, Gerald 2 2014 Introduction (to Entropy). Combined references Index. Zbl 1163.00315Greven, Andreas; Keller, Gerhard; Warnecke, Gerald 2 2003 Kinetic solution of the Boltzmann-Peierls equation. Zbl 1161.82338Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald 2 2003 Analysis and numerics for conservation laws. Zbl 1066.76006 1 2005 On convergence of a domain decomposition method for a scalar conservation law. Zbl 1149.65076Tang, Huazhong; Warnecke, Gerald 1 2007 On entropy consistency of large time step schemes. I: The Godunov and Glimm schemes. Zbl 0790.65083Wang, Jinghua; Warnecke, Gerald 1 1993 On entropy consistency of large time step schemes. II: Approximate Riemann solvers. Zbl 0790.65084Wang, Jinghua; Warnecke, Gerald 1 1993 A shock indicator for adaptive transonic flow computations. Zbl 0796.76051Göhner, Uli; Warnecke, Gerald 1 1994 A posteriori error estimates for the cell-vertex finite volume method. Zbl 0812.76066Mackenzie, J. A.; Süli, Endre; Warnecke, Gerald 1 1994 A second order finite difference error indicator for adaptive transonic flow computations. Zbl 0826.76041Göhner, Uli; Warnecke, Gerald 1 1995 Existence of metastable solutions for a thermodynamically consistent Becker-Döring model. Zbl 1407.82049Ssemaganda, Vincent; Warnecke, Gerald 1 2013 Analytical and numerical investigations of a batch crystallization model. Zbl 1214.82115Qamar, Shamsul; Warnecke, Gerald 1 2008 Unconditionally stable explicit schemes for the approximation of conservation laws. Zbl 0999.65093Helzel, Christiane; Warnecke, Gerald 1 2001 A space-time conservative method for hyperbolic systems with stiff and non stiff source terms. Zbl 1218.65084Qamar, S.; Warnecke, G. 1 2006 A reduction of the Boltzmann-Peierls equation. Zbl 1076.76067Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald 1 2005 Numerical solutions for a weakly hyperbolic dispersed two-phase flow model. Zbl 1405.76034Hantke, Maren; Matern, Christoph; Warnecke, Gerald 1 2018 The Riemann problem for a weakly hyperbolic two-phase flow model of a dispersed phase in a carrier fluid. Zbl 1440.35209Hantke, Maren; Matern, Christoph; Ssemaganda, Vincent; Warnecke, Gerald 5 2020 A high order positivity preserving DG method for coagulation-fragmentation equations. Zbl 1426.65146Liu, Hailiang; Gröpler, Robin; Warnecke, Gerald 3 2019 Numerical solutions for a weakly hyperbolic dispersed two-phase flow model. Zbl 1405.76034Hantke, Maren; Matern, Christoph; Warnecke, Gerald 1 2018 Regular solutions to the coagulation equations with singular kernels. Zbl 1323.45006Camejo, Carlos Cueto; Gröpler, Robin; Warnecke, Gerald 8 2015 The singular kernel coagulation equation with multifragmentation. Zbl 1334.45012Camejo, Carlos Cueto; Warnecke, Gerald 6 2015 Exact Riemann solutions to shallow water equations. Zbl 1298.76047Han, Ee; Warnecke, Gerald 13 2014 Convergence analysis of a finite volume scheme for solving non-linear aggregation-breakage population balance equations. Zbl 1316.65116Kumar, Rajesh; Kumar, Jitendra; Warnecke, Gerald 7 2014 Bubbles in liquids with phase transition. II: On balance laws for mixture theories of disperse vapor bubbles in liquid with phase change. Zbl 1341.76032Dreyer, Wolfgang; Hantke, Maren; Warnecke, Gerald 2 2014 Moment preserving finite volume schemes for solving population balance equations incorporating aggregation, breakage, growth and source terms. Zbl 1269.65137Kumar, Rajesh; Kumar, Jitendra; Warnecke, Gerald 19 2013 Exact solutions to the Riemann problem for compressible isothermal Euler equations for two-phase flows with and without phase transition. Zbl 1277.80009Hantke, Maren; Dreyer, Wolfgang; Warnecke, Gerald 18 2013 On the modeling and simulation of a laser-induced cavitation bubble. Zbl 1455.76195Zein, Ali; Hantke, Maren; Warnecke, Gerald 6 2013 Criteria for nonuniqueness of Riemann solutions to compressible duct flows. Zbl 1277.76091Han, Ee; Hantke, Maren; Warnecke, Gerald 3 2013 Existence of metastable solutions for a thermodynamically consistent Becker-Döring model. Zbl 1407.82049Ssemaganda, Vincent; Warnecke, Gerald 1 2013 Weak solutions to the continuous coagulation equation with multiple fragmentation. Zbl 1236.35017Giri, Ankik Kumar; Laurençot, Philippe; Warnecke, Gerald 21 2012 Exact Riemann solutions to compressible Euler equations in ducts with discontinuous cross-section. Zbl 1263.35178Han, Ee; Hantke, Maren; Warnecke, Gerald 21 2012 Bubbles in liquids with phase transition. Zbl 1258.76160Dreyer, Wolfgang; Duderstadt, Frank; Hantke, Maren; Warnecke, Gerald 14 2012 Robust a posteriori error estimates for subgrid stabilization of non-stationary convection dominated diffusive transport. Zbl 1244.65129Achchab, B.; Benjouad, A.; El Fatini, M.; Souissi, A.; Warnecke, G. 3 2012 Adaptive space and time numerical simulation of reaction-diffusion models for intracellular calcium dynamics. Zbl 1246.65017Nagaiah, Ch.; Rüdiger, S.; Warnecke, G.; Falcke, M. 2 2012 The continuous coagulation equation with multiple fragmentation. Zbl 1205.82106Giri, Ankik Kumar; Kumar, Jitendra; Warnecke, Gerald 19 2011 Uniqueness for the coagulation-fragmentation equation with strong fragmentation. Zbl 1238.45008Giri, Ankik Kumar; Warnecke, Gerald 6 2011 Modeling phase transition for compressible two-phase flows applied to metastable liquids. Zbl 1307.76079Zein, Ali; Hantke, Maren; Warnecke, Gerald 55 2010 A note on moment preservation of finite volume schemes for solving growth and aggregation population balance equations. Zbl 1211.45009Kumar, Jitendra; Warnecke, Gerald 3 2010 Local oscillations in finite difference solutions of hyperbolic conservation laws. Zbl 1198.65169Li, Jiequan; Tang, Huazhong; Warnecke, Gerald; Zhang, Lumei 7 2009 Numerical approximations of a population balance model for coupled batch preferential crystallizers. Zbl 1167.82020Qamar, S.; Angelov, I.; Elsner, M. P.; Ashfaq, A.; Seidel-Morgenstern, A.; Warnecke, G. 3 2009 Convergence analysis of sectional methods for solving breakage population balance equations. I. The fixed pivot technique. Zbl 1154.65381Kumar, Jitendra; Warnecke, Gerald 16 2008 Convergence analysis of sectional methods for solving breakage population balance equations. II: The cell average technique. Zbl 1187.65146Kumar, Jitendra; Warnecke, Gerald 14 2008 Adaptive numerical simulation of intracellular calcium dynamics using domain decomposition methods. Zbl 1148.76034Nagaiah, Ch.; Rüdiger, S.; Warnecke, G.; Falcke, M. 3 2008 Analytical and numerical investigations of a batch crystallization model. Zbl 1214.82115Qamar, Shamsul; Warnecke, Gerald 1 2008 Finite volume evolution Galerkin (FVEG) methods for three-dimensional wave equation system. Zbl 1119.65093Lukáčová-Medvid’ová, M.; Warnecke, G.; Zahaykah, Y. 4 2007 On convergence of a domain decomposition method for a scalar conservation law. Zbl 1149.65076Tang, Huazhong; Warnecke, Gerald 1 2007 A direct Eulerian GRP scheme for compressible fluid flows. Zbl 1158.76375Ben-Artzi, Matania; Li, Jiequan; Warnecke, Gerald 64 2006 High resolution schemes for conservation laws and convection-diffusion equations with varying time and space grids. Zbl 1100.65071Tang, Huazhong; Warnecke, Gerald 10 2006 Application of space-time CE/SE method to shallow water magnetohydrodynamic equations. Zbl 1168.76385Qamar, Shamsul; Warnecke, Gerald 10 2006 On the stability of evolution Galerkin schemes applied to a two-dimensional wave equation system. Zbl 1122.65079Lukàčová-Medviďová, M.; Warnecke, G.; Zahaykah, Y. 6 2006 Partitioning methods for reaction-diffusion problems. Zbl 1105.65100Heineken, Wolfram; Warnecke, Gerald 5 2006 A space-time conservative method for hyperbolic systems with stiff and non stiff source terms. Zbl 1218.65084Qamar, S.; Warnecke, G. 1 2006 A Runge-Kutta discontinuous Galerkin method for the Euler equations. Zbl 1098.76044Tang, Huazhong; Warnecke, Gerald 12 2005 A high-order kinetic flux-splitting method for the relativistic magnetohydrodynamics. Zbl 1087.76090Qamar, Shamsul; Warnecke, Gerald 12 2005 A class of high resolution difference schemes for nonlinear Hamilton-Jacobi equations with varying time and space grids. Zbl 1079.65092Tang, Huazhong; Warnecke, Gerald 6 2005 A high order kinetic flux-splitting method for the special relativistic hydrodynamics. Zbl 1189.76371Qamar, Shamsul; Warnecke, Gerald 5 2005 Analysis and numerics for conservation laws. Zbl 1066.76006 1 2005 A reduction of the Boltzmann-Peierls equation. Zbl 1076.76067Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald 1 2005 The Riemann problem for the Baer-Nunziato two-phase flow model. Zbl 1115.76414Andrianov, Nikolai; Warnecke, Gerald 96 2004 On the solution to the Riemann problem for the compressible duct flow. Zbl 1065.35191Andrianov, Nikolai; Warnecke, Gerald 38 2004 Finite volume evolution Galerkin methods for hyperbolic systems. Zbl 1078.65562Lukácová-Medvidová, M.; Morton, K. W.; Warnecke, G. 22 2004 Kinetic schemes for the relativistic gas dynamics. Zbl 1098.76056Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald 21 2004 A BGK-type flux-vector splitting scheme for the ultrarelativistic Euler equations. Zbl 1071.82049Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald 8 2004 On evolution Galerkin methods for the Maxwell and the linearized Euler equations. Zbl 1099.65088Lukáčová-Medvidová, Mária; Saibertová, Jitka; Warnecke, Gerald; Zahaykah, Yousef 5 2004 Asymptotic stability of traveling waves for viscous conservation laws with dispersion. Zbl 1103.35090Pan, Jun; Warnecke, Gerald 4 2004 On the boundary conditions for EG methods applied to the two-dimensional wave equation system. Zbl 1052.65095Lukáčová-Medvid’ová, M.; Warnecke, G.; Zahaykah, Y. 3 2004 A note on \((2K+1)\)-point conservative monotone schemes. Zbl 1075.65113Tang, Huazhong; Warnecke, Gerald 3 2004 Simulation of multicomponent flows using high order central schemes. Zbl 1143.76516Qamar, Shamsul; Warnecke, Gerald 2 2004 Kinetic schemes for the ultra-relativistic Euler equations. Zbl 1061.76068Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald 21 2003 A simple method for compressible multiphase mixtures and interfaces. Zbl 1025.76025Andrianov, Nikolai; Saurel, Richard; Warnecke, Gerald 18 2003 Second-order accurate kinetic schemes for the ultra-relativistic Euler equations. Zbl 1117.76308Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald 12 2003 Existence and uniqueness of solutions for a non-uniformly parabolic equation. Zbl 1012.35048Wang, Jinghua; Warnecke, Gerald 9 2003 Generalized characteristics and the uniqueness of entropy solutions to zero-pressure gas dynamics. Zbl 1035.35072Li, Jiequan; Warnecke, Gerald 9 2003 Entropy. Zbl 1187.00001 8 2003 Evolution Galerkin schemes applied to two-dimensional Riemann problems for the wave equation system. Zbl 1032.65112Li, Jiequan; Lukáčová-Medviďová, Mária; Warnecke, Gerald 5 2003 Third order finite volume evolution Galerkin (FVEG) methods for two-dimensional wave equation system. Zbl 1057.65067Lukáčová-Medviďová, M.; Warnecke, G.; Zahaykah, Y. 3 2003 Introduction (to Entropy). Combined references Index. Zbl 1163.00315Greven, Andreas; Keller, Gerhard; Warnecke, Gerald 2 2003 Kinetic solution of the Boltzmann-Peierls equation. Zbl 1161.82338Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald 2 2003 Finite volume evolution Galerkin methods for nonlinear hyperbolic systems. Zbl 1090.65536Lukáčová-Medvid’ová, M.; Saibertová, J.; Warnecke, G. 17 2002 Finite volume evolution Galerkin methods for Euler equations of gas dynamics. Zbl 1023.76026Lukáčová-Medvid’ová, M.; Morton, K. W.; Warnecke, G. 14 2002 Unconditionally stable explicit schemes for the approximation of conservation laws. Zbl 0999.65093Helzel, Christiane; Warnecke, Gerald 1 2001 A modified fractional step method for the accurate approximation of detonation waves. Zbl 0983.65105Helzel, Christiane; LeVeque, Randall J.; Warnecke, Gerald 33 2000 Evolution Galerkin methods for hyperbolic systems in two space dimensions. Zbl 0951.35076Lukácová-Medvid’ová, M.; Morton, K. W.; Warnecke, Gerald 26 2000 Convergence rates for relaxation schemes approximating conservation laws. Zbl 0954.35108Liu, Hailiang; Warnecke, Gerald 11 2000 Lax-Wendroff type second order evolution Galerkin methods for multidimensional hyperbolic systems. Zbl 0959.65104Lukáčová-Medvid’ová, M.; Warnecke, Gerald 6 2000 High-resolution finite volume evolution Galerkin schemes for multidimensional hyperbolic conservation laws. Zbl 0971.65090Lukáčová-Medviďová, M.; Morton, K. W.; Warnecke, Gerald 2 2000 The lip\(^{+}\)-stability and error estimates for a relaxation scheme. Zbl 0980.35102Liu, Hailiang; Wang, Jinghua; Warnecke, Gerald 2 2000 A posteriori error analysis for numerical approximations of Friedrichs systems. Zbl 0935.65096Houston, Paul; Mackenzie, J. A.; Süli, Endre; Warnecke, Gerald 39 1999 Error estimates for a combined finite volume-finite element method for nonlinear convection-diffusion problems. Zbl 0960.65098Feistauer, Miloslav; Felcman, Jirí; Lukácová-Medvid’ová, Mária; Warnecke, Gerald 28 1999 Finite volume evolution Galerkin methods for multidimensional hyperbolic problems. Zbl 1052.65529Lukáčová-Medvid’ová, M.; Morton, K. W.; Warnecke, G. 3 1999 Analytic methods in the theory of conservation laws. (Analytische Methoden in der Theorie der Erhaltungsgleichungen.) Zbl 0947.35005Warnecke, Gerald 2 1999 Evolution Galerkin methods for multidimensional hyperbolic systems. Zbl 0968.65070Lukáčová-Medvid’ová, M.; Morton, K. W.; Warnecke, Gerald 3 1998 Convergence of relaxing schemes for conservation laws. Zbl 0933.35132Wang, Jinghua; Warnecke, Gerald 3 1998 On a posteriori error indication based on finite differences in triangular grids. Zbl 0925.65161Sonar, Thomas; Warnecke, Gerald 2 1998 Analysis of a FEM/BEM coupling method for transonic flow computations. Zbl 0898.76054Berger, Harald; Warnecke, Gerald; Wendland, Wolfgang L. 7 1997 Adaptive computational methods for gas flow. Zbl 0963.76555Felcman, Jiří; Warnecke, Gerald 3 1996 A second order finite difference error indicator for adaptive transonic flow computations. Zbl 0826.76041Göhner, Uli; Warnecke, Gerald 1 1995 Coupling of FEM and BEM for transonic flows. Zbl 0835.76043Berger, Harald; Warnecke, Gerald; Wendland, Wolfgang L. 2 1994 A shock indicator for adaptive transonic flow computations. Zbl 0796.76051Göhner, Uli; Warnecke, Gerald 1 1994 A posteriori error estimates for the cell-vertex finite volume method. Zbl 0812.76066Mackenzie, J. A.; Süli, Endre; Warnecke, Gerald 1 1994 On entropy consistency of large time step schemes. I: The Godunov and Glimm schemes. Zbl 0790.65083Wang, Jinghua; Warnecke, Gerald 1 1993 On entropy consistency of large time step schemes. II: Approximate Riemann solvers. Zbl 0790.65084Wang, Jinghua; Warnecke, Gerald 1 1993 The existence of viscous profiles and admissibility for transonic shocks. Zbl 0741.35037Keyfitz, Barbara Lee; Warnecke, Gerald G. 16 1991 Finite elements for transonic potential flows. Zbl 0692.76061Berger, Harald; Warnecke, Gerald; Wendland, Wolfgang L. 15 1990 Admissibility of solutions to the Riemann problem for systems of mixed type - Transonic small disturbance theory. Zbl 0734.76031Warnecke, Gerald 2 1990 Über das homogene Dirichlet-Problem bei nichtlinearen partiellen Differentialgleichungen vom Typ der Boussinesq-Gleichung. (On the homogeneous Dirichlet problem for nonlinear partial differential equations of Boussinesq type). Zbl 0638.35024Warnecke, Gerald 4 1987 Über das homogene Dirichlet-Problem bei nichtlinearen partiellen Differentialgleichungen vom Typ der Boussinesq-Gleichung. (On the homogeneous Dirichlet problem for nonlinear partial differential equations of Boussinesq equation type). Zbl 0594.35086Warnecke, Gerald 2 1985 all cited Publications top 5 cited Publications all top 5 Cited by 911 Authors 38 Warnecke, Gerald G. 30 Dumbser, Michael 28 Li, Jiequan 22 Tang, Huazhong 20 Lukáčová-Medvid’ová, Mária 18 Kumar, Jitendra 18 Mai Duc Thanh 13 Hantke, Maren 12 Giri, Ankik Kumar 12 Qamar, Shamsul 11 Singh, Mehakpreet 10 Balsara, Dinshaw S. 10 Hérard, Jean-Marc 9 Daude, Frédéric 9 Toro, Eleuterio Francisco 8 Barik, Prasanta Kumar 8 Feistauer, Miloslav 8 Galon, Pascal 8 Sheng, Wancheng 8 Walker, Gavin 7 Liu, Tiegang 7 Rohde, Christian 7 Sekhar, T. Raja 7 Xu, Kun 7 Zhang, Qinglong 6 Dolejší, Vít 6 Du, Zhifang 6 Gosse, Laurent 6 Kröner, Dietmar 6 Munz, Claus-Dieter 6 Pelanti, Marica 6 Saha, Jitraj 6 Tian, Baolin 6 Wu, Kailiang 5 Boscheri, Walter 5 Chalons, Christophe 5 Coquel, Frédéric 5 Dreyer, Wolfgang 5 Feng, Chengliang 5 Han, Ee 5 Jiang, Song 5 Kunik, Matthias 5 Kurganov, Alexander 5 Laurençot, Philippe 5 Lei, Xin 5 Matsoukas, Themis 5 Müller, Siegfried 5 Parés Madroñal, Carlos 5 Shu, Chi-Wang 5 Thein, Ferdinand 5 Vinh, Duong Xuan 5 Wang, Guodong 5 Zeidan, Dia 4 Baccouch, Mahboub 4 Burman, Erik 4 Cuong, Dao Huy 4 Deuring, Paul 4 Erceg, Marko 4 Gatica, Gabriel N. 4 Ghosh, Debdulal 4 Hidalgo, Arturo 4 Kumar, Rajesh S. 4 Liu, Hailiang 4 Munkejord, Svend Tollak 4 Pan, Liang 4 Romenskii, Evgenii I. 4 Sandu, Adrian 4 Wang, Shuanghu 4 Wang, Yue 4 Yang, Zhicheng 4 Yu, Changsheng 4 Zeiler, Christoph 3 Abdelrahman, Mahmoud Abdelaziz Elbiomy 3 Adjerid, Slimane 3 Banasiak, Jacek 3 Barsukow, Wasilij 3 Berger, Harald 3 Cai, Zhiqiang 3 Castro, Manuel J. 3 Chen, Jingshuang 3 Chen, Yibing 3 Clain, Stéphane Louis 3 Das, Ashok 3 Fang, Beixiang 3 Flåtten, Tore 3 Ghidaglia, Jean-Michel 3 Hu, Yanbo 3 Hurisse, Olivier 3 Iben, Uwe 3 Karlsen, Kenneth Hvistendahl 3 Klingenberg, Christian 3 Kuang, Yangyu 3 Kuila, Sahadeb 3 LeFloch, Philippe Gerard 3 Li, Yachun 3 Liu, Min 3 Lochon, Hippolyte 3 Mildner, Marcus 3 Minhajul 3 Morton, Keith William ...and 811 more Authors all top 5 Cited in 137 Serials 144 Journal of Computational Physics 50 Computers and Fluids 34 Journal of Scientific Computing 26 Applied Mathematics and Computation 23 Applied Numerical Mathematics 19 Computer Methods in Applied Mechanics and Engineering 17 Journal of Computational and Applied Mathematics 17 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 13 Journal of Mathematical Analysis and Applications 12 Journal of Differential Equations 11 Numerische Mathematik 11 Communications in Computational Physics 10 Mathematics of Computation 10 Quarterly of Applied Mathematics 9 Mathematical Methods in the Applied Sciences 9 SIAM Journal on Scientific Computing 8 M\(^3\)AS. 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