Analysis of a FEM/BEM coupling method for transonic flow computations. - H. Berger; Gerald Warnecke; Wolfgang L. Wendland (Math. Comput., 1997)

Control of tolerances in turning by predictive control with neural networks. - Gerald Warnecke; R. Kluge (J. Intell. Manuf., 1998)

A posteriori error analysis for numerical approximations of Friedrichs systems. - Paul Houston; John A. Mackenzie; Endre Süli; Gerald Warnecke (Numerische Mathematik, 1999)

Evolution Galerkin methods for hyperbolic systems in two space dimensions. - Mária Lukácová-Medvid'ová; K. W. Morton; Gerald Warnecke (Math. Comput., 2000)

Convergence Rates for Relaxation Schemes Approximating Conservation Laws. - Hailiang Liu; Gerald Warnecke (SIAM J. Numer. Anal., 2000)

The LIP+ -Stability and Error Estimates for a Relaxation Scheme. - Hailiang Liu; Jinghua Wang; Gerald Warnecke (SIAM J. Numer. Anal., 2000)

A Modified Fractional Step Method for the Accurate Approximation of Detonation Waves. - Christiane Helzel; Randall J. LeVeque; Gerald Warnecke (SIAM J. Sci. Comput., 2000)

Convergence rates to discrete shocks for nonconvex conservation laws. - Hailiang Liu; Jinghua Wang; Gerald Warnecke (Numerische Mathematik, 2001)

Error bounds for the large time step Glimm scheme applied to scalar conservation laws. - Jinyang Huang; Jinghua Wang; Gerald Warnecke (Numerische Mathematik, 2002)

Third order finite volume evolution Galerkin (FVEG) methods for two-dimensional wave equation system. - Mária Lukácová-Medvid'ová; Gerald Warnecke; Y. Zahaykah (J. Num. Math., 2003)

Kinetic schemes for the relativistic gas dynamics. - Matthias Kunik; Shamsul Qamar; Gerald Warnecke (Numerische Mathematik, 2004)

On the Solution to The Riemann Problem for the Compressible Duct Flow. - Gerald Warnecke; Nikolai Andrianov (SIAM J. Appl. Math., 2004)

A BGK-Type Flux-Vector Splitting Scheme for the Ultrarelativistic Euler Equations. - Matthias Kunik; Shamsul Qamar; Gerald Warnecke (SIAM J. Sci. Comput., 2004)

Finite Volume Evolution Galerkin Methods for Hyperbolic Systems. - Mária Lukácová-Medvid'ová; K. W. Morton; Gerald Warnecke (SIAM J. Sci. Comput., 2004)

A Class of High Resolution Difference Schemes for Nonlinear Hamilton-Jacobi Equations with Varying Time and Space Grids. - Huazhong Tang; Gerald Warnecke (SIAM J. Sci. Comput., 2005)

A discretized model for tracer population balance equation: Improved accuracy and convergence. - Jitendra Kumar 002; Mirko Peglow; Gerald Warnecke; Stefan Heinrich; L. Mörl (Comput. Chem. Eng., 2006)

A comparative study of high resolution schemes for solving population balances in crystallization. - Shamsul Qamar; M. P. Elsner; I. A. Angelov; Gerald Warnecke; Andreas Seidel-Morgenstern (Comput. Chem. Eng., 2006)

A direct Eulerian GRP scheme for compressible fluid flows. - Matania Ben-Artzi; Jiequan Li; Gerald Warnecke (J. Comput. Phys., 2006)

On the Stability of Evolution Galerkin Schemes Applied to a Two-Dimensional Wave Equation System. - Mária Lukácová-Medvid'ová; Gerald Warnecke; Y. Zahaykah (SIAM J. Numer. Anal., 2006)

Adaptive high-resolution schemes for multidimensional population balances in crystallization processes. - Shamsul Qamar; A. Ashfaq; Gerald Warnecke; I. A. Angelov; M. P. Elsner; Andreas Seidel-Morgenstern (Comput. Chem. Eng., 2007)

Numerical solution of population balance equations for nucleation, growth and aggregation processes. - Shamsul Qamar; Gerald Warnecke (Comput. Chem. Eng., 2007)

On Convergence of a Domain Decomposition Method for a Scalar Conservation Law. - Huazhong Tang; Gerald Warnecke (SIAM J. Numer. Anal., 2007)

The cell average technique for solving multi-dimensional aggregation population balance equations. - Jitendra Kumar 002; Mirko Peglow; Gerald Warnecke; Stefan Heinrich (Comput. Chem. Eng., 2008)

Three-dimensional numerical study of heat and mass transfer in fluidized beds with spray nozzle. - Chamakuri Nagaiah; Gerald Warnecke; Stefan Heinrich; Mirko Peglow (Comput. Chem. Eng., 2008)

Convergence analysis of sectional methods for solving breakage population balance equations-I: the fixed pivot technique. - Jitendra Kumar 002; Gerald Warnecke (Numerische Mathematik, 2008)

Convergence analysis of sectional methods for solving breakage population balance equations-II: the cell average technique. - Jitendra Kumar 002; Gerald Warnecke (Numerische Mathematik, 2008)

Local oscillations in finite difference solutions of hyperbolic conservation laws. - Jiequan Li; Huazhong Tang; Gerald Warnecke; Lumei Zhang (Math. Comput., 2009)

Modeling phase transition for compressible two-phase flows applied to metastable liquids. - Ali Zein; Maren Hantke; Gerald Warnecke (J. Comput. Phys., 2010)

A Note on Moment Preservation of Finite Volume Schemes for Solving Growth and Aggregation Population Balance Equations. - Jitendra Kumar 002; Gerald Warnecke (SIAM J. Sci. Comput., 2010)

Efficient and accurate numerical simulation of nonlinear chromatographic processes. - Shumaila Javeed; Shamsul Qamar; Andreas Seidel-Morgenstern; Gerald Warnecke (Comput. Chem. Eng., 2011)

Numerical methods for solving two-dimensional aggregation population balance equations. - Rajesh Kumar; Jitendra Kumar 002; Gerald Warnecke (Comput. Chem. Eng., 2011)

Robust a posteriori error estimates for subgrid stabilization of non-stationary convection dominated diffusive transport. - Boujemâa Achchab; Abdelghani Benjouad; Mohamed El Fatini; Ali Souissi; Gerald Warnecke (Appl. Math. Comput., 2012)

Adaptive space and time numerical simulation of reaction-diffusion models for intracellular calcium dynamics. - Chamakuri Nagaiah; Sten Rüdiger; Gerald Warnecke; Martin Falcke (Appl. Math. Comput., 2012)

Parallel and high resolution numerical solution of concentration and temperature distributions in fluidized beds. - Chamakuri Nagaiah; Suresh Kumar Nadupuri; Andreas Bück; Gerald Warnecke (Comput. Chem. Eng., 2013)

Multiscale Modeling and Numerical Simulation of Calcium Cycling in Cardiac Myocytes. - Chamakuri Nagaiah; Wilhelm Neubert; Stephen Gilbert; Janine Vierheller; Gerald Warnecke; Martin Falcke (Multiscale Model. Simul., 2018)

A High Order Positivity Preserving DG Method for Coagulation-Fragmentation Equations. - Hailiang Liu; Robin Gröpler; Gerald Warnecke (SIAM J. Sci. Comput., 2019)

Radially symmetric solutions of the ultra-relativistic Euler equations. - Matthias Kunik; Hailiang Liu; Gerald Warnecke (CoRR, 2020)

A new method to discretize a model for isothermal flow with a multi-component equation of state. - Maren Hantke; Christoph Matern; Gerald Warnecke; Hazem Yaghi (J. Comput. Appl. Math., 2023)

On Godunov's interesting class of systems - The symmetric hyperbolic Euler equations of gas dynamics. - Gerald Warnecke (J. Comput. Phys., 2025)

On conservative, stable boundary and coupling conditions for diffusion equations I - The conservation property for explicit schemes. - Taj Munir; Nagaiah Chamakuri; Gerald Warnecke (CoRR, 2025)