ME
Matthias Ehrhardt
cs.NAmath.NAmath.DSmath.MPmath-phmath.APphysics.comp-phcs.LGnlin.SIquant-ph
On Valency
published · living versionsW_sxs595e5·v1 · currentpublished
Mass-lumped finite elements with maximum-bound preservation and original-energy dissipation for the degenerate-mobility Allen-Cahn equation
with Himanshu Kumar Dwivedi
1 version
W_k66bqjmt·v1published
Preprints & journals
56 papers in the corpus · 2012–2026Taming Nonconvexity with Epigraph Lifting2610.16429v1 · Clara Lage, Hok Shing Wong, Matthias Ehrhardt2026 · 0 citationsarXiv
Transparent Boundary Conditions for the Time-Fractional Heat Equation on Metric Graphs2610.06631v1 · Anis Bel Hadj Hassin, Matthias Ehrhardt2026 · 0 citationsarXiv
Transparent Boundary Conditions for the Heat Equation on Metric Graphs2608.12937v1 · Jasur Matrasulov, Jambul Yusupov, Matthias Ehrhardt2026 · 0 citationsarXiv
Transparent boundary conditions for the spatially discrete Schrödinger equation: Reflectionless quantum transport in 1D lattices2608.05338v1 · Mashrab E. Akramov, Jambul R. Yusupov, Matthias Ehrhardt et al.2026 · 0 citationsarXiv
Structure-Preserving Neural ODEs via Nonstandard Finite Difference Discretization2607.10858v1 · Achraf Zinihi, Matthias Ehrhardt, Moulay Rchid Sidi Ammi2026 · 0 citationsarXiv
Spatiotemporal SEIQR Epidemic Modeling with Optimal Control for Vaccination, Treatment, and Social Measures.42397415 · Zinihi, Achraf, Ehrhardt, Matthias, Sidi Ammi, Moulay Rchid2026 · 5 citationsJournal of mathematical biology. 2026;93(1)
A Nonstandard Finite Difference Scheme for a Nonlinear Parabolic Equation with p-Laplacian-Type Diffusion2607.00489v1 · Achraf Zinihi, Matthias Ehrhardt, Moulay Rchid Sidi Ammi2026 · 0 citationsarXiv
A Koopman-PINN Framework for Epidemic Models: Parameter Inference and Forecasting2606.15201v1 · Achraf Zinihi, Matthias Ehrhardt, Moulay Rchid Sidi Ammi2026 · 0 citationsarXiv
Constraint-Aware Physics-Informed Neural Networks for SEIR Reaction-Diffusion Epidemic Models with Vital Dynamics2605.19886v1 · Achraf Zinihi, Matthias Ehrhardt2026 · 0 citationsarXiv
Alikhanov-XfPINNs: Adaptive Physics-Informed Learning for Nonlinear Fractional PDEs on Nonuniform Meshes2605.01305v1 · Himanshu Kumar Dwivedi, Matthias Ehrhardt, Rajeev2026 · 0 citationsarXiv
Stochastic Port-Hamiltonian Neural Networks: Universal Approximation with Passivity Guarantees2603.10078v1 · Luca Di Persio, Matthias Ehrhardt, Youness Outaleb2026 · 0 citationsarXiv
Structure-Preserving Coupling and Decoupling of Port-Hamiltonian Systems2511.20150v1 · Matthias Ehrhardt, Michael Gunther, Daniel Sevcovic2025 · 0 citationsarXiv
A Generalized Second-Order Positivity-Preserving Numerical Method for Non-Autonomous Dynamical Systems with Applications2510.03420v1 · Manh Tuan Hoang, Matthias Ehrhardt2025 · 1 citationarXiv
Port-Hamiltonian Neural Networks: From Theory to Simulation of Interconnected Stochastic Systems2509.06674v1 · Luca Di Persio, Matthias Ehrhardt, Youness Outaleb et al.2025 · 2 citationsarXiv
A Koopman Operator Framework for Nonlinear Epidemic Dynamics: Application to an SIRSD Model2508.16766v1 · Achraf Zinihi, Matthias Ehrhardt, Moulay Rchid Sidi Ammi2025 · 2 citationsarXiv
Actuarial Analysis of an Infectious Disease Insurance based on an SEIARD Epidemiological Model2508.06580v1 · Achraf Zinihi, Matthias Ehrhardt, Moulay Rchid Sidi Ammi2025 · 0 citationsarXiv
A Nonstandard Finite Difference Scheme for an SEIQR Epidemiological PDE Model2508.02928v3 · Achraf Zinihi, Matthias Ehrhardt, Moulay Rchid Sidi Ammi2025 · 3 citationsarXiv
Square Root Operators and the Well-Posedness of Pseudodifferential Parabolic Models of Wave Phenomena2504.21396v1 · Matthias Ehrhardt, Jochen Gluck, Pavel Petrov et al.2025 · 2 citationsApplied Mathematics Letters 171, Article Number 109644, 2025
Modelling car-following dynamics with stochastic input-state-output port-Hamiltonian systems2502.00370v1 · Julia Ackermann, Matthias Ehrhardt, Thomas Kruse et al.2025 · 0 citationsarXiv
A finite element-based machine learning model for hydro-mechanical analysis of swelling behavior in clay-sulfate rocks2502.05198v1 · Reza Taherdangkoo, Mostafa Mollaali, Matthias Ehrhardt et al.2025 · 0 citationsarXiv
A Space Mapping approach for the calibration of financial models with the application to the Heston model2501.14521v1 · Anna Clevenhaus, Claudia Totzeck, Matthias Ehrhardt2025 · 0 citationsarXiv
Stability of heterogeneous linear and nonlinear car-following models2408.07549v1 · Matthias Ehrhardt, Antoine Tordeux2024 · 3 citationsarXiv
Transparent PT-symmetric nonlinear networks2408.03709v1 · Mashrab Akramov, Jambul Yusupov, Matthias Ehrhardt et al.2024 · 10 citationsarXiv
Absorbing Boundary Conditions for Variable Potential Schrödinger Equations via Titchmarsh-Weyl Theory2408.00671v1 · Matthias Ehrhardt, Chunxiong Zheng2024 · 1 citationarXiv
Dynamical Analysis of a Cocaine-Heroin Epidemiological Model with Spatial Distributions2405.15532v1 · Achraf Zinihi, Moulay Rchid Sidi Ammi, Matthias Ehrhardt et al.2024 · 5 citationsarXiv
Dynamical Behavior of a Stochastic Epidemiological Model: Stationary Distribution and Extinction of a SIRS Model with Stochastic Perturbations2404.09233v1 · Achraf Zinihi, Moulay Rchid Sidi Ammi, Matthias Ehrhardt2024 · 5 citations2025
Integrating Port-Hamiltonian Systems with Neural Networks: From Deterministic to Stochastic Frameworks2403.16737v1 · Luca Di Persio, Matthias Ehrhardt, Sofia Rizzotto2024 · 0 citationsarXiv
Optimal Control of a Diffusive Epidemiological Model Involving the Caputo-Fabrizio Fractional Time-Derivative2403.00364v1 · Achraf Zinihi, Moulay Rchid Sidi Ammi, Matthias Ehrhardt2024 · 9 citationsarXiv
Stabilisation of stochastic single-file dynamics using port-Hamiltonian systems2401.17954v1 · Julia Ackermann, Matthias Ehrhardt, Thomas Kruse et al.2024 · 2 citationsarXiv
Driven transparent quantum graphs2312.01448v1 · J.R. Yusupov, M. Ehrhardt, Kh.Sh. Matyokubov et al.2023 · 4 citationsarXiv
Deep smoothness WENO scheme for two-dimensional hyperbolic conservation laws: A deep learning approach for learning smoothness indicators2309.10117v1 · Tatiana Kossaczk'a, Ameya D. Jagtap, Matthias Ehrhardt2023 · 1 citationarXiv
The Collective Dynamics of a Stochastic Port-Hamiltonian Self-Driven Agent Model in One Dimension2303.14735v1 · Matthias Ehrhardt, Thomas Kruse, Antoine Tordeux2023 · 4 citationsarXiv
PINN Training using Biobjective Optimization: The Trade-off between Data Loss and Residual Loss2302.01810v1 · Fabian Heldmann, Sarah Berkhahn, Matthias Ehrhardt et al.2023 · 36 citationsarXiv
A nonstandard finite difference scheme for a time-fractional model of Zika virus transmission.38303449 · Maamar, Maghnia Hamou, Ehrhardt, Matthias, Tabharit, Louiza2024 · 29 citationsMathematical biosciences and engineering : MBE. 2024;21(1):924-962
Transparent boundary conditions for the nonlocal nonlinear Schroedinger equation: A model for reflectionless propagation of PT-symmetric solitons2209.09550v1 · M.E. Akramov, J.R. Yusupov, M. Ehrhardt et al.2022 · 10 citationsarXiv
Manakov system on metric graphs: Modeling the reflectionless propagation of vector solitons in networks2206.01283v1 · J.R.Yusupov, Kh.Sh. Matyokubov, M.Ehrhardt et al.2022 · 4 citationsarXiv
Large-scale convective flow sustained by thermally active Lagrangian tracers2205.03856v2 · Lokahith Agasthya, Andreas Bartel, Luca Biferale et al.2022 · 1 citationarXiv
Mixed-Dimensional Geometric Coupling of Port-Hamiltonian Systems2202.06370v1 · Jens Jaschke, Nathanael Skrepek, Matthias Ehrhardt2022 · 4 citationsarXiv
A physics-informed neural network to model COVID-19 infection and hospitalization scenarios.36320680 · Berkhahn, Sarah, Ehrhardt, Matthias2024 · 55 citationsAdvances in continuous and discrete models. 2022;2022(1):61
A nonstandard finite difference scheme for the SVICDR model to predict COVID-19 dynamics.35135201 · Treibert, Sarah, Brunner, Helmut, Ehrhardt, Matthias2022 · 6 citationsMathematical biosciences and engineering : MBE. 2022;19(2):1213-1238
A gradient based calibration method for the Heston model2110.14370v2 · Anna Clevenhaus, Claudia Totzeck, Matthias Ehrhardt2021 · 2 citationsarXiv
Reflectionless propagation of Manakov solitons on a line: A model based on the concept of transparent boundary conditions.34005995 · Sabirov, K K, Yusupov, J R, Aripov, M M et al.2021 · 10 citationsPhysical review. E. 2021;103(4-1):043305
Enhanced fifth order WENO Shock-Capturing Schemes with Deep Learning2103.04988v1 · Tatiana Kossaczk'a, Matthias Ehrhardt, Michael Gunther2021 · 28 citationsarXiv
Higher Strong Order Methods for Itô SDEs on Matrix Lie Groups2102.04131v1 · Michelle Muniz, Matthias Ehrhardt, Michael Gunther et al.2021 · 0 citationsarXiv
Mathematical models of the spread and consequences of the SARS-CoV-2 pandemics: Effects on health, society, industry, economics and technology.34567932 · Micheletti, Alessandra, Araújo, Adérito, Budko, Neil et al.2021 · 1 citationJournal of mathematics in industry. 2021;11(1):15
Transparent boundary conditions for the sine-Gordon equation:Modeling the reflectionless propagation of kink solitons on a line2011.13299v1 · K.K. Sabirov, J.R. Yusupov, M. Ehrhardt et al.2020 · 8 citationsarXiv
Dirac particles in transparent quantum graphs: Tunable transport of relativistic quasiparticles in branched structures.32688612 · Yusupov, J R, Sabirov, K K, Asadov, Q U et al.2020 · 14 citationsPhysical review. E. 2020;101(6-1):062208
Operator splitting for abstract Cauchy problems with dynamical boundary condition2004.13503v2 · Petra Csom'os, Matthias Ehrhardt, B'alint Farkas2020 · 0 citationsarXiv
GivEn -- Shape Optimization for Gas Turbines in Volatile Energy Networks2002.08672v1 · Jan Backhaus, Matthias Bolten, Onur Tanil Doganay et al.2020 · 3 citationsarXiv
Transparent nonlinear networks.31639973 · Yusupov, J R, Sabirov, K K, Ehrhardt, M et al.2019 · 20 citationsPhysical review. E. 2019;100(3-1):032204
Career total: 263 works. 56 are in this corpus.Showing the 50 most recent.
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