RESEARCHER PROFILE

Matthias Ehrhardt

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M

University of Wuppertal

Advanced Numerical Methods in Computational MathematicsStochastic processes and financial applicationsNumerical methods for differential equationsDifferential Equations and Numerical MethodsComputational Fluid Dynamics and Aerodynamics

Matthias Ehrhardt works in Advanced Numerical Methods in Computational Mathematics, Stochastic processes and financial applications, Numerical methods for differential equations, Differential Equations and Numerical Methods, Computational Fluid Dynamics and Aerodynamics. Recorded institutional associations include University of Wuppertal, Indian Institute of Technology BHU.

261Publications
2,812Citations
28H-index

ORCID

Inclusion identifies researchers whose recorded research contributions may inform their university’s understanding of its research community. It does not rank individual research quality or establish current employment.

Selected research works

Up to 100 highly cited works; DOI links open the original research. Counts reflect the collected record, not real-time citation totals.

  1. A Review of Transparent and Artificial Boundary Conditions Techniques for Linear and Nonlinear Schrödinger Equations

    2008 · 256 citations

  2. Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability

    2003 · 188 citations

  3. On the numerical solution of nonlinear Black–Scholes equations

    2008 · 155 citations

  4. Discrete Transparent Boundary Conditions for Wide Angle Parabolic Equations in Underwater Acoustics

    1998 · 87 citations

  5. Discrete transparent boundary conditions for the Schrödinger equation

    2001 · 68 citations

  6. SIR-based mathematical modeling of infectious diseases with vaccination and waning immunity

    2019 · 68 citations

  7. A physics-informed neural network to model COVID-19 infection and hospitalization scenarios

    2022 · 55 citations

  8. Discrete transparent boundary conditions for the Schrödinger equation on circular domains

    2012 · 53 citations

  9. A FAST, STABLE AND ACCURATE NUMERICAL METHOD FOR THE BLACK–SCHOLES EQUATION OF AMERICAN OPTIONS

    2008 · 52 citations

  10. A discrete Adomian decomposition method for discrete nonlinear Schrödinger equations

    2007 · 43 citations

  11. Adequate numerical solution of air pollution problems by positive difference schemes on unbounded domains

    2006 · 43 citations

  12. Numerical and semi-numerical solutions of a modified Thévenin model for calculating terminal voltage of battery cells

    2021 · 42 citations

  13. An Introduction to Fluid-Porous Interface Coupling

    2012 · 40 citations

  14. Characteristic boundary conditions in the lattice Boltzmann method for fluid and gas dynamics

    2013 · 38 citations

  15. A nonstandard finite difference scheme for convection–diffusion equations having constant coefficients

    2013 · 38 citations

  16. Discrete transparent boundary conditions for Schrödinger-type equations for non-compactly supported initial data

    2007 · 37 citations

  17. Discrete artificial boundary conditions

    2002 · 36 citations

  18. Multi-Band Effective Mass Approximations

    2014 · 35 citations

  19. PINN training using biobjective optimization: The trade-off between data loss and residual loss

    2023 · 35 citations

  20. Nonlinear models in mathematical finance : new research trends in option pricing

    2008 · 34 citations

  21. Fast calculation of energy and mass preserving solutions of Schrödinger–Poisson systems on unbounded domains

    2005 · 32 citations

  22. ON THE HESTON MODEL WITH STOCHASTIC CORRELATION

    2016 · 32 citations

  23. A second-order nonstandard finite difference method for a general Rosenzweig–MacArthur predator–prey model

    2024 · 32 citations

  24. Modelling stochastic correlation

    2016 · 31 citations

  25. The pricing of Quanto options under dynamic correlation

    2014 · 30 citations

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