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Mathematics

D-Index
34
Citations
4424
World Ranking
2929
National Ranking
179

Overview

Gerald Warnecke is affiliated with Otto-von-Guericke University Magdeburg in Germany. Their primary fields of study lie in Engineering and Mathematics, with a strong focus on Computational Mechanics and Applied Mathematics. Their research integrates multiple aspects of Computational Fluid Dynamics and Aerodynamics, Gas Dynamics and Kinetic Theory, and Navier-Stokes equation solutions.

Their work spans complex topics such as Advanced Mathematical Modeling in Engineering, Solidification and crystal growth phenomena, Cosmology and Gravitation Theories, and Analytical Chemistry and Chromatography.

Warnecke's recent publications include:

  • "A new method to discretize a model for isothermal flow with a multi-component equation of state" (2022, Journal of Computational and Applied Mathematics)
  • "Analysis and experimental demonstration of temperature step gradients in preparative liquid chromatography" (2022, Journal of Chromatography A)
  • "Radially symmetric solutions of the ultra-relativistic Euler equations" (2021, Methods and Applications of Analysis)
  • "The Riemann problem for a two-phase mixture hyperbolic system with phase function and multi-component equation of state" (2023, Quarterly of Applied Mathematics)
  • "On Godunov's interesting class of systems - The symmetric hyperbolic Euler equations of gas dynamics" (2024, Journal of Computational Physics)

Frequent coauthors in their work are:

  • Maren Hantke
  • Christoph Matern
  • Hazem Yaghi
  • Matthias Kunik
  • Hailiang Liu

Warnecke has published regularly in venues such as:

  • arXiv (Cornell University)
  • Journal of Chromatography A
  • Journal of Computational and Applied Mathematics
  • Methods and Applications of Analysis
  • Quarterly of Applied Mathematics

Best Publications

  • Improved accuracy and convergence of discretized population balance for aggregation: The cell average technique

    J. Kumar;M. Peglow;G. Warnecke;S. Heinrich

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

    Ali Zein;Maren Hantke;Gerald Warnecke

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

    Nikolai Andrianov;Gerald Warnecke

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

    Shamsul Qamar;Shamsul Qamar;M. P. Elsner;I. A. Angelov;Gerald Warnecke

  • Efficient and accurate numerical simulation of nonlinear chromatographic processes

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

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

    Jitendra Kumar;Mirko Peglow;Gerald Warnecke;Stefan Heinrich

  • A direct Eulerian GRP scheme for compressible fluid flows

    Matania Ben-Artzi;Jiequan Li;Gerald Warnecke

  • Hybrid Stochastic and Deterministic Simulations of Calcium Blips

    S. Rüdiger;J.W. Shuai;W. Huisinga;Ch. Nagaiah

  • A posteriori error analysis for numerical approximations of Friedrichs systems

    Paul Houston;John A. Mackenzie;Endre Süli;Gerald Warnecke

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

    Shamsul Qamar;Gerald Warnecke

  • Evolution Galerkin methods for hyperbolic systems in two space dimensions

    M. Lukáčová-Medvid'ová;K. W. Morton;G. Warnecke

  • A Modified Fractional Step Method for the Accurate Approximation of Detonation Waves

    Christiane Helzel;Randall J. Leveque;Gerald Warnecke

  • On the Solution to The Riemann Problem for the Compressible Duct Flow

    Gerald Warnecke;Nikolai Andrianov

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

    Shamsul Qamar;Gerald Warnecke

  • Finite volume evolution Galerkin methods for nonlinear hyperbolic systems

    M. Lukáčová-Medvid'ová;J. Saibertová;G. Warnecke

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

    Jitendra Kumar;Mirko Peglow;Gerald Warnecke;Stefan Heinrich

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

    Shamsul Qamar;Gerald Warnecke;Martin Peter Elsner

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

    Shamsul Qamar;Shamsul Qamar;A. Ashfaq;A. Ashfaq;Gerald Warnecke;I. A. Angelov

  • Error Estimates for a Combined Finite Volume--Finite Element Method for Nonlinear Convection--Diffusion Problems

    Miloslav Feistauer;Jirí Felcman;Mária Lukácová-Medvidová;Gerald Warnecke

  • Comparison of numerical methods for solving population balance equations incorporating aggregation and breakage

    J. Kumar;G. Warnecke;M. Peglow;S. Heinrich

  • High resolution schemes for solving population balances in crystallization

    S. Qamar;S. Qamar;M. P. Elsner;I. Angelov;G. Warnecke

Frequent Co-Authors

Andreas Seidel-Morgenstern
Andreas Seidel-Morgenstern Max Planck Society
Stefan Heinrich
Stefan Heinrich Hamburg University of Technology
Evangelos Tsotsas
Evangelos Tsotsas Otto-von-Guericke University Magdeburg
Wolfgang L. Wendland
Wolfgang L. Wendland University of Stuttgart
Philippe Laurençot
Philippe Laurençot Toulouse Mathematics Institute
Michael J. Hounslow
Michael J. Hounslow University of Sheffield
Endre Süli
Endre Süli University of Oxford
Ian Parker
Ian Parker University of California, Irvine
Paul Houston
Paul Houston University of Nottingham
Gavin P. Reynolds
Gavin P. Reynolds Sheffield Hallam University

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