Gerald Warnecke

According to our database1, Gerald Warnecke authored at least 37 papers between 1997 and 2020.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.



In proceedings 
PhD thesis 




Radially symmetric solutions of the ultra-relativistic Euler equations.
CoRR, 2020

A High Order Positivity Preserving DG Method for Coagulation-Fragmentation Equations.
SIAM J. Scientific Computing, 2019

Multiscale Modeling and Numerical Simulation of Calcium Cycling in Cardiac Myocytes.
Multiscale Modeling & Simulation, 2018

Parallel and high resolution numerical solution of concentration and temperature distributions in fluidized beds.
Computers & Chemical Engineering, 2013

Adaptive space and time numerical simulation of reaction-diffusion models for intracellular calcium dynamics.
Appl. Math. Comput., 2012

Robust a posteriori error estimates for subgrid stabilization of non-stationary convection dominated diffusive transport.
Appl. Math. Comput., 2012

Numerical methods for solving two-dimensional aggregation population balance equations.
Computers & Chemical Engineering, 2011

Efficient and accurate numerical simulation of nonlinear chromatographic processes.
Computers & Chemical Engineering, 2011

A Note on Moment Preservation of Finite Volume Schemes for Solving Growth and Aggregation Population Balance Equations.
SIAM J. Scientific Computing, 2010

Modeling phase transition for compressible two-phase flows applied to metastable liquids.
J. Comput. Phys., 2010

Local oscillations in finite difference solutions of hyperbolic conservation laws.
Math. Comput., 2009

Convergence analysis of sectional methods for solving breakage population balance equations-II: the cell average technique.
Numerische Mathematik, 2008

Convergence analysis of sectional methods for solving breakage population balance equations-I: the fixed pivot technique.
Numerische Mathematik, 2008

Three-dimensional numerical study of heat and mass transfer in fluidized beds with spray nozzle.
Computers & Chemical Engineering, 2008

The cell average technique for solving multi-dimensional aggregation population balance equations.
Computers & Chemical Engineering, 2008

On Convergence of a Domain Decomposition Method for a Scalar Conservation Law.
SIAM J. Numerical Analysis, 2007

Numerical solution of population balance equations for nucleation, growth and aggregation processes.
Computers & Chemical Engineering, 2007

Adaptive high-resolution schemes for multidimensional population balances in crystallization processes.
Computers & Chemical Engineering, 2007

On the Stability of Evolution Galerkin Schemes Applied to a Two-Dimensional Wave Equation System.
SIAM J. Numerical Analysis, 2006

A direct Eulerian GRP scheme for compressible fluid flows.
J. Comput. Phys., 2006

A comparative study of high resolution schemes for solving population balances in crystallization.
Computers & Chemical Engineering, 2006

A discretized model for tracer population balance equation: Improved accuracy and convergence.
Computers & Chemical Engineering, 2006

A Class of High Resolution Difference Schemes for Nonlinear Hamilton-Jacobi Equations with Varying Time and Space Grids.
SIAM J. Scientific Computing, 2005

Finite Volume Evolution Galerkin Methods for Hyperbolic Systems.
SIAM J. Scientific Computing, 2004

A BGK-Type Flux-Vector Splitting Scheme for the Ultrarelativistic Euler Equations.
SIAM J. Scientific Computing, 2004

On the Solution to The Riemann Problem for the Compressible Duct Flow.
SIAM Journal of Applied Mathematics, 2004

Kinetic schemes for the relativistic gas dynamics.
Numerische Mathematik, 2004

Third order finite volume evolution Galerkin (FVEG) methods for two-dimensional wave equation system.
J. Num. Math., 2003

Error bounds for the large time step Glimm scheme applied to scalar conservation laws.
Numerische Mathematik, 2002

Convergence rates to discrete shocks for nonconvex conservation laws.
Numerische Mathematik, 2001

A Modified Fractional Step Method for the Accurate Approximation of Detonation Waves.
SIAM J. Scientific Computing, 2000

The LIP+ -Stability and Error Estimates for a Relaxation Scheme.
SIAM J. Numerical Analysis, 2000

Convergence Rates for Relaxation Schemes Approximating Conservation Laws.
SIAM J. Numerical Analysis, 2000

Evolution Galerkin methods for hyperbolic systems in two space dimensions.
Math. Comput., 2000

A posteriori error analysis for numerical approximations of Friedrichs systems.
Numerische Mathematik, 1999

Control of tolerances in turning by predictive control with neural networks.
J. Intelligent Manufacturing, 1998

Analysis of a FEM/BEM coupling method for transonic flow computations.
Math. Comput., 1997