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Matthias Ehrhardt 0001
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- affiliation: University of Wuppertal, IMACM, Germany
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2020 – today
- 2024
- [j33]Manh Tuan Hoang, Matthias Ehrhardt:
A general class of second-order L-stable explicit numerical methods for stiff problems. Appl. Math. Lett. 149: 108897 (2024) - [j32]Manh Tuan Hoang, Matthias Ehrhardt:
A second-order nonstandard finite difference method for a general Rosenzweig-MacArthur predator-prey model. J. Comput. Appl. Math. 444: 115752 (2024) - [j31]Hooman Fatoorehchi, Matthias Ehrhardt:
A novel technique for stability analysis of linear time-invariant and nonlinear continuous-time control systems based on Markov parameters and Hankel matrices. Trans. Inst. Meas. Control 46(10): 1910-1923 (2024) - [i9]Matthias Ehrhardt, Chunxiong Zheng:
Absorbing Boundary Conditions for Variable Potential Schrödinger Equations via Titchmarsh-Weyl Theory. CoRR abs/2408.00671 (2024) - [i8]Mashrab Akramov, Jambul Yusupov, Matthias Ehrhardt, Hadi Susanto, Davron Matrasulov:
Transparent PT-symmetric nonlinear networks. CoRR abs/2408.03709 (2024) - 2023
- [j30]Jens Jäschke, Nathanael Skrepek, Matthias Ehrhardt:
Mixed-dimensional geometric coupling of port-Hamiltonian systems. Appl. Math. Lett. 137: 108508 (2023) - [j29]Fabian Heldmann, Sarah Berkhahn, Matthias Ehrhardt, Kathrin Klamroth:
PINN training using biobjective optimization: The trade-off between data loss and residual loss. J. Comput. Phys. 488: 112211 (2023) - [i7]Fabian Heldmann, Sarah Berkhahn, Matthias Ehrhardt, Kathrin Klamroth:
PINN Training using Biobjective Optimization: The Trade-off between Data Loss and Residual Loss. CoRR abs/2302.01810 (2023) - [i6]Tatiana Kossaczká, Ameya D. Jagtap, Matthias Ehrhardt:
Deep smoothness WENO scheme for two-dimensional hyperbolic conservation laws: A deep learning approach for learning smoothness indicators. CoRR abs/2309.10117 (2023) - [i5]J. R. Yusupov, Matthias Ehrhardt, Kh. Sh. Matyokubov, D. U. Matrasulov:
Driven transparent quantum graphs. CoRR abs/2312.01448 (2023) - 2021
- [i4]Michelle Muniz, Matthias Ehrhardt, Michael Günther, Renate Winkler:
Higher Strong Order Methods for Itô SDEs on Matrix Lie Groups. CoRR abs/2102.04131 (2021) - [i3]K. K. Sabirov, J. R. Yusupov, M. M. Aripov, Matthias Ehrhardt, D. U. Matrasulov:
Reflectionless propagation of Manakov solitons on a line: A model based on the concept of transparent boundary conditions. CoRR abs/2102.10374 (2021) - [i2]Tatiana Kossaczká, Matthias Ehrhardt, Michael Günther:
Enhanced fifth order WENO Shock-Capturing Schemes with Deep Learning. CoRR abs/2103.04988 (2021) - 2020
- [i1]Jan Backhaus, Matthias Bolten, Onur Tanil Doganay, Matthias Ehrhardt, Benedikt Engel, Christian Frey, Hanno Gottschalk, Michael Günther, Camilla Hahn, Jens Jäschke, Peter Jaksch, Kathrin Klamroth, Alexander Liefke, Daniel Luft, Lucas Mäde, Vincent Marciniak, Marco Reese, Johanna Schultes, Volker Schulz, Sebastian Schmitz, Johannes Steiner, Michael Stiglmayr:
GivEn - Shape Optimization for Gas Turbines in Volatile Energy Networks. CoRR abs/2002.08672 (2020)
2010 – 2019
- 2019
- [j28]Matthias Ehrhardt, Maria do Rosário Grossinho, Manuel Guerra, João Janela, Choi-Hong Lai, Daniel Sevcovic, Carlos Vázquez:
Preface. Int. J. Comput. Math. 96(11): 2113-2114 (2019) - [j27]Matthias Ehrhardt, Ján Gasper, Sona Kilianová:
SIR-based mathematical modeling of infectious diseases with vaccination and waning immunity. J. Comput. Sci. 37 (2019) - [c4]Lorenc Kapllani, Long Teng, Matthias Ehrhardt:
A Multistep Scheme to Solve Backward Stochastic Differential Equations for Option Pricing on GPUs. HPC 2019: 196-208 - 2017
- [j26]Matthias Ehrhardt, Maria do Rosário Grossinho, Daniel Sevcovic, Albert N. Shiryaev:
Preface. Int. J. Comput. Math. 94(11): 2145-2146 (2017) - [j25]Christian Hendricks, Christof Heuer, Matthias Ehrhardt, Michael Günther:
High-order ADI finite difference schemes for parabolic equations in the combination technique with application in finance. J. Comput. Appl. Math. 316: 175-194 (2017) - [c3]Pavel S. Petrov, Matthias Ehrhardt, Denis V. Makarov:
Multiscale Approach to Parabolic Equations Derivation: Beyond the Linear Theory. ICCS 2017: 1823-1831 - 2016
- [j24]Igor Kossaczký, Matthias Ehrhardt, Michael Günther:
On the non-existence of higher order monotone approximation schemes for HJB equations. Appl. Math. Lett. 52: 53-57 (2016) - [j23]Long Teng, Cathrin van Emmerich, Matthias Ehrhardt, Michael Günther:
A versatile approach for stochastic correlation using hyperbolic functions. Int. J. Comput. Math. 93(3): 524-539 (2016) - [j22]Matthias Ehrhardt, Lucas Jódar Sánchez, Rafael Company:
Novel methods in computational finance. Int. J. Comput. Math. 93(5): 723-724 (2016) - [j21]Pavel S. Petrov, Matthias Ehrhardt:
Transparent boundary conditions for iterative high-order parabolic equations. J. Comput. Phys. 313: 144-158 (2016) - 2015
- [j20]Pavel S. Petrov, Matthias Ehrhardt:
On Mayfield's stability proof for the discretized transparent boundary condition for the parabolic equation. Appl. Math. Lett. 44: 45-49 (2015) - [j19]Daniel Heubes, Andreas Bartel, Matthias Ehrhardt:
Concept for a one-dimensional discrete artificial boundary condition for the lattice Boltzmann method. Comput. Math. Appl. 70(10): 2316-2330 (2015) - [j18]Dmitry Shcherbakov, Matthias Ehrhardt, Michael Günther, Michael Peardon:
Force-gradient nested multirate methods for Hamiltonian systems. Comput. Phys. Commun. 187: 91-97 (2015) - [j17]Long Teng, Matthias Ehrhardt, Michael Günther:
The pricing of Quanto options under dynamic correlation. J. Comput. Appl. Math. 275: 304-310 (2015) - 2014
- [j16]Daniel Heubes, Andreas Bartel, Matthias Ehrhardt:
Exact artificial boundary conditions for a lattice Boltzmann method. Comput. Math. Appl. 67(11): 2041-2054 (2014) - [j15]Matthias Ehrhardt, Lucas Jódar Sánchez, Rafael Jacinto Villanueva Micó:
Advanced computational engineering. Int. J. Comput. Math. 91(1): 1-3 (2014) - [j14]Matthias Ehrhardt, Lucas Jódar Sánchez, Rafael Jacinto Villanueva Micó:
Numerical methods and mathematical modelling in biology, medicine and social sciences. Int. J. Comput. Math. 91(2): 176-178 (2014) - [j13]J. C. Cortés, Matthias Ehrhardt, Almudena Sánchez-Sánchez, Francisco-José Santonja, Rafael J. Villanueva:
Modelling the dynamics of the students' academic performance in the German region of the North Rhine-Westphalia: an epidemiological approach with uncertainty. Int. J. Comput. Math. 91(2): 241-251 (2014) - [j12]Daniel Heubes, Andreas Bartel, Matthias Ehrhardt:
Characteristic boundary conditions in the lattice Boltzmann method for fluid and gas dynamics. J. Comput. Appl. Math. 262: 51-61 (2014) - [c2]Anton Arnold, Matthias Ehrhardt:
A Transparent Boundary Condition for an Elastic Bottom in Underwater Acoustics. FDM 2014: 15-24 - 2013
- [j11]Matthias Ehrhardt, Ronald E. Mickens:
A nonstandard finite difference scheme for convection-diffusion equations having constant coefficients. Appl. Math. Comput. 219(12): 6591-6604 (2013) - [j10]Long Teng, Matthias Ehrhardt, Michael Günther:
Numerical evaluation of complex logarithms in the Cox-Ingersoll-Ross model. Int. J. Comput. Math. 90(5): 1083-1095 (2013) - 2012
- [j9]Quang A. Dang, Matthias Ehrhardt:
On Dirac delta sequences and their generating functions. Appl. Math. Lett. 25(12): 2385-2390 (2012) - [c1]Anna Belova, Tamara Shmidt, Matthias Ehrhardt:
Meshfree methods in option pricing. MECO 2012: 243-246 - 2011
- [j8]Ekaterina Dremkova, Matthias Ehrhardt:
A high-order compact method for nonlinear Black-Scholes option pricing equations of American options. Int. J. Comput. Math. 88(13): 2782-2797 (2011)
2000 – 2009
- 2008
- [j7]Athanassios G. Bratsos, Matthias Ehrhardt, Ioannis Th. Famelis:
A discrete Adomian decomposition method for discrete nonlinear Schrödinger equations. Appl. Math. Comput. 197(1): 190-205 (2008) - [j6]Julia Ankudinova, Matthias Ehrhardt:
On the numerical solution of nonlinear Black-Scholes equations. Comput. Math. Appl. 56(3): 799-812 (2008) - [j5]Matthias Ehrhardt, Chunxiong Zheng:
Exact artificial boundary conditions for problems with periodic structures. J. Comput. Phys. 227(14): 6877-6894 (2008) - [j4]Andrea Zisowsky, Matthias Ehrhardt:
Discrete artificial boundary conditions for nonlinear Schrödinger equations. Math. Comput. Model. 47(11-12): 1264-1283 (2008) - 2006
- [j3]Andrea Zisowsky, Matthias Ehrhardt:
Discrete transparent boundary conditions for parabolic systems. Math. Comput. Model. 43(3-4): 294-309 (2006) - [j2]Quang A. Dang, Matthias Ehrhardt:
Adequate numerical solution of air pollution problems by positive difference schemes on unbounded domains. Math. Comput. Model. 44(9-10): 834-856 (2006)
1990 – 1999
- 1999
- [j1]Matthias Ehrhardt:
Discrete Transparent Boundary Conditions for General Schrödinger-type Equations. VLSI Design 9(4): 325-338 (1999)
Coauthor Index
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