Discrete Transparent Boundary Conditions for General Schrödinger-type Equations. - Matthias Ehrhardt 001 (VLSI Design, 1999)

Adequate numerical solution of air pollution problems by positive difference schemes on unbounded domains. - Quang A. Dang; Matthias Ehrhardt 001 (Math. Comput. Model., 2006)

Discrete transparent boundary conditions for parabolic systems. - Andrea Zisowsky; Matthias Ehrhardt 001 (Math. Comput. Model., 2006)

A discrete Adomian decomposition method for discrete nonlinear Schrödinger equations. - Athanassios G. Bratsos; Matthias Ehrhardt 001; Ioannis Th. Famelis (Appl. Math. Comput., 2008)

On the numerical solution of nonlinear Black-Scholes equations. - Julia Ankudinova; Matthias Ehrhardt 001 (Comput. Math. Appl., 2008)

Exact artificial boundary conditions for problems with periodic structures. - Matthias Ehrhardt 001; Chunxiong Zheng (J. Comput. Phys., 2008)

Discrete artificial boundary conditions for nonlinear Schrödinger equations. - Andrea Zisowsky; Matthias Ehrhardt 001 (Math. Comput. Model., 2008)

A high-order compact method for nonlinear Black-Scholes option pricing equations of American options. - Ekaterina Dremkova; Matthias Ehrhardt 001 (Int. J. Comput. Math., 2011)

Meshfree methods in option pricing. - Anna Belova; Tamara Shmidt; Matthias Ehrhardt 001 (MECO, 2012)

On Dirac delta sequences and their generating functions. - Quang A. Dang; Matthias Ehrhardt 001 (Appl. Math. Lett., 2012)

A nonstandard finite difference scheme for convection-diffusion equations having constant coefficients. - Matthias Ehrhardt 001; Ronald E. Mickens (Appl. Math. Comput., 2013)

Numerical evaluation of complex logarithms in the Cox-Ingersoll-Ross model. - Long Teng 002; Matthias Ehrhardt 001; Michael Günther 005 (Int. J. Comput. Math., 2013)

A Transparent Boundary Condition for an Elastic Bottom in Underwater Acoustics. - Anton Arnold; Matthias Ehrhardt 001 (FDM, 2014)

Exact artificial boundary conditions for a lattice Boltzmann method. - Daniel Heubes; Andreas Bartel; Matthias Ehrhardt 001 (Comput. Math. Appl., 2014)

Modelling the dynamics of the students' academic performance in the German region of the North Rhine-Westphalia: an epidemiological approach with uncertainty. - J. C. Cortés; Matthias Ehrhardt 001; Almudena Sánchez-Sánchez; Francisco-José Santonja; Rafael J. Villanueva (Int. J. Comput. Math., 2014)

Advanced computational engineering. - Matthias Ehrhardt 001; Lucas Jódar Sánchez; Rafael Jacinto Villanueva Micó (Int. J. Comput. Math., 2014)

Numerical methods and mathematical modelling in biology, medicine and social sciences. - Matthias Ehrhardt 001; Lucas Jódar Sánchez; Rafael Jacinto Villanueva Micó (Int. J. Comput. Math., 2014)

Characteristic boundary conditions in the lattice Boltzmann method for fluid and gas dynamics. - Daniel Heubes; Andreas Bartel; Matthias Ehrhardt 001 (J. Comput. Appl. Math., 2014)

On Mayfield's stability proof for the discretized transparent boundary condition for the parabolic equation. - Pavel S. Petrov; Matthias Ehrhardt 001 (Appl. Math. Lett., 2015)

Concept for a one-dimensional discrete artificial boundary condition for the lattice Boltzmann method. - Daniel Heubes; Andreas Bartel; Matthias Ehrhardt 001 (Comput. Math. Appl., 2015)

Force-gradient nested multirate methods for Hamiltonian systems. - Dmitry Shcherbakov; Matthias Ehrhardt 001; Michael Günther 005; Michael Peardon (Comput. Phys. Commun., 2015)

The pricing of Quanto options under dynamic correlation. - Long Teng 002; Matthias Ehrhardt 001; Michael Günther 005 (J. Comput. Appl. Math., 2015)

On the non-existence of higher order monotone approximation schemes for HJB equations. - Igor Kossaczký; Matthias Ehrhardt 001; Michael Günther 005 (Appl. Math. Lett., 2016)

Novel methods in computational finance. - Matthias Ehrhardt 001; Lucas Jódar Sánchez; Rafael Company (Int. J. Comput. Math., 2016)

A versatile approach for stochastic correlation using hyperbolic functions. - Long Teng 002; Cathrin van Emmerich; Matthias Ehrhardt 001; Michael Günther 005 (Int. J. Comput. Math., 2016)

Transparent boundary conditions for iterative high-order parabolic equations. - Pavel S. Petrov; Matthias Ehrhardt 001 (J. Comput. Phys., 2016)

Multiscale Approach to Parabolic Equations Derivation: Beyond the Linear Theory. - Pavel S. Petrov; Matthias Ehrhardt 001; Denis V. Makarov (ICCS, 2017)

Preface. - Matthias Ehrhardt 001; Maria do Rosário Grossinho; Daniel Sevcovic; Albert N. Shiryaev (Int. J. Comput. Math., 2017)

High-order ADI finite difference schemes for parabolic equations in the combination technique with application in finance. - Christian Hendricks; Christof Heuer; Matthias Ehrhardt 001; Michael Günther 005 (J. Comput. Appl. Math., 2017)

A Multistep Scheme to Solve Backward Stochastic Differential Equations for Option Pricing on GPUs. - Lorenc Kapllani; Long Teng 002; Matthias Ehrhardt 001 (HPC, 2019)

Preface. - Matthias Ehrhardt 001; Maria do Rosário Grossinho; Manuel Guerra; João Janela; Choi-Hong Lai; Daniel Sevcovic; Carlos Vázquez 002 (Int. J. Comput. Math., 2019)

SIR-based mathematical modeling of infectious diseases with vaccination and waning immunity. - Matthias Ehrhardt 001; Ján Gasper; Sona Kilianová (J. Comput. Sci., 2019)

GivEn - Shape Optimization for Gas Turbines in Volatile Energy Networks. - Jan Backhaus; Matthias Bolten; Onur Tanil Doganay; Matthias Ehrhardt 001; Benedikt Engel; Christian Frey; Hanno Gottschalk; Michael Günther 005; Camilla Hahn; Jens Jäschke; Peter Jaksch; Kathrin Klamroth; et al. (CoRR, 2020)

Higher Strong Order Methods for Itô SDEs on Matrix Lie Groups. - Michelle Muniz; Matthias Ehrhardt 001; Michael Günther 005; Renate Winkler (CoRR, 2021)

Reflectionless propagation of Manakov solitons on a line: A model based on the concept of transparent boundary conditions. - K. K. Sabirov; J. R. Yusupov; M. M. Aripov; Matthias Ehrhardt 001; D. U. Matrasulov (CoRR, 2021)

Enhanced fifth order WENO Shock-Capturing Schemes with Deep Learning. - Tatiana Kossaczká; Matthias Ehrhardt 001; Michael Günther 005 (CoRR, 2021)

Mixed-dimensional geometric coupling of port-Hamiltonian systems. - Jens Jäschke; Nathanael Skrepek; Matthias Ehrhardt 001 (Appl. Math. Lett., 2023)

Deep smoothness WENO scheme for two-dimensional hyperbolic conservation laws: A deep learning approach for learning smoothness indicators. - Tatiana Kossaczká; Ameya D. Jagtap; Matthias Ehrhardt 001 (CoRR, 2023)

Driven transparent quantum graphs. - J. R. Yusupov; Matthias Ehrhardt 001; Kh. Sh. Matyokubov; D. U. Matrasulov (CoRR, 2023)

PINN training using biobjective optimization: The trade-off between data loss and residual loss. - Fabian Heldmann; Sarah Berkhahn; Matthias Ehrhardt 001; Kathrin Klamroth (J. Comput. Phys., 2023)

Absorbing Boundary Conditions for Variable Potential Schrödinger Equations via Titchmarsh-Weyl Theory. - Matthias Ehrhardt 001; Chunxiong Zheng (CoRR, 2024)

Transparent PT-symmetric nonlinear networks. - Mashrab Akramov; Jambul Yusupov; Matthias Ehrhardt 001; Hadi Susanto; Davron Matrasulov (CoRR, 2024)

A gradient-based calibration method for the Heston model. - Anna Clevenhaus; Claudia Totzeck; Matthias Ehrhardt 001 (Int. J. Comput. Math., 2024)

Editorial. - Matthias Ehrhardt 001; Maria do Rosário Grossinho; Choi-Hong Lai; Kees Oosterlee; Daniel Sevcovic; Carlos Vázquez 002 (Int. J. Comput. Math., 2024)

A second-order nonstandard finite difference method for a general Rosenzweig-MacArthur predator-prey model. - Manh Tuan Hoang; Matthias Ehrhardt 001 (J. Comput. Appl. Math., 2024)

A novel technique for stability analysis of linear time-invariant and nonlinear continuous-time control systems based on Markov parameters and Hankel matrices. - Hooman Fatoorehchi; Matthias Ehrhardt 001 (Trans. Inst. Meas. Control, 2024)

A general class of second-order L-stable explicit numerical methods for stiff problems. - Manh Tuan Hoang; Matthias Ehrhardt 001 (Appl. Math. Lett., 2024)

Square root operators and the well-posedness of pseudodifferential parabolic models of wave phenomena. - Matthias Ehrhardt 001; Jochen Glück; Pavel S. Petrov; Stefan Tappe (Appl. Math. Lett., 2025)

A Space Mapping approach for the calibration of financial models with the application to the Heston model. - Anna Clevenhaus; Claudia Totzeck; Matthias Ehrhardt 001 (CoRR, 2025)

A finite element-based machine learning model for hydro-mechanical analysis of swelling behavior in clay-sulfate rocks. - Reza Taherdangkoo; Mostafa Mollaali; Matthias Ehrhardt 001; Thomas Nagel; Lyesse Laloui; Alessio Ferrari 004; Christoph Butscher (CoRR, 2025)

A fast second-order absorbing boundary condition for the linearized Benjamin-Bona-Mahony equation. - Zijun Zheng; Gang Pang; Matthias Ehrhardt 001; Baiyili Liu (Numer. Algorithms, 2025)