Applied and Computational Mathematics (ACM)

Publikationen



2022
M. Hutzenthaler, A. Jentzen, T. Kruse and T. A. Nguyen, "Overcoming the curse of dimensionality in the numerical approximation of backward stochastic differential equations", Journal of Numerical Mathematics, 2022. De Gruyter.
M. Hutzenthaler, T. Kruse and T. A. Nguyen, "Multilevel Picard approximations for McKean-Vlasov stochastic differential equations", Journal of Mathematical Analysis and Applications, vol. 507, no. 1, pp. 125761, 2022. Academic Press.
F. Klass, A. Gabbana and A. Bartel, "A non-reflecting boundary condition for multispeed lattice Boltzmann methods" in Accepted at Progress in Industrial Mathematics at ECMI 2021, M. Ehrhardt and M. Günther, Eds. Springer-Verlag, Berlin, 2022.

ISBN: 978-3-031-11817-3

M. H. Maamar, M. Ehrhardt and L. Tabharit, "A Nonstandard Finite Difference Scheme for a Time-Fractional Model of Zika Virus Transmission", 2022.
S. Treibert, H. Brunner and M. Ehrhardt, "A nonstandard finite difference scheme for the SVICDR model to predict COVID-19 dynamics", Math. Biosci. Eng, vol. 19, no. 2, pp. 1213--1238, 2022.
S. Berkhahn and M. Ehrhardt, "A physics-informed neural network to model COVID-19 infection and hospitalization scenarios", Advances in Continuous and Discrete Models, vol. 2022, no. 1, pp. 61, 2022. Springer International Publishing Cham.
J. Jäschke, M. Ehrhardt, M. Günther and B. Jacob, "A port-Hamiltonian formulation of coupled heat transfer", Mathematical and Computer Modelling of Dynamical Systems, vol. 28, no. 1, pp. 78--94, 2022. Taylor & Francis.
J. Jäschke, M. Ehrhardt, M. Günther and B. Jacob, "A Two-Dimensional Port-Hamiltonian Model for Coupled Heat Transfer", Mathematics, vol. 10, no. 24, pp. 4635, 2022. MDPI.
Z. Zheng, G. Pang, M. Ehrhardt and B. Liu, "An efficient second-order method for the linearized Benjamin-Bona-Mahony equation with artificial boundary conditions", 2022.
T. Sch\"afers and L. Teng, "Asymmetry in stochastic volatility models with threshold and time-dependent correlation", Studies in Nonlinear Dynamics \& Econometrics, 2022.
M. Muniz, M. Ehrhardt and M. Günther, "Correlation Matrices Driven by Stochastic Isospectral Flows" in Progress in Industrial Mathematics at ECMI 2021, Springer International Publishing Cham, 2022, pp. 455--461.
J. Jäschke, M. Ehrhardt, M. Günther and B. Jacob, "Discrete port-Hamiltonian coupled heat transfer" in Progress in Industrial Mathematics at ECMI 2021, Springer International Publishing Cham, 2022, pp. 439--445.
J. Kienitz, G. Lee, N. Nowaczyk and N. Geng, "Dynamically Controlled Kernel Estimation", RISK, vol. 1, 2022.
M. Felpel, J. Kienitz and T. A. McWalter, "Effective Markovian projection: application to CMS spread options and mid-curve swaptions", Quantitative Finance, vol. 22, no. 6, pp. 1169-1192, 2022. Routledge.
M. Clemens, M. Henkel, F. Kasolis, M. Günther, H. De Gersem and S. Schöps, "Electromagnetic Quasistatic Field Formulations of Darwin Type", arXiv preprint arXiv:2204.06286, 2022.
L. Teng, "Gradient boosting-based numerical methods for high dimensional backward stochastic differential equations", Appl. Math. Comput., vol. 426, pp. 127119, 2022.
T. Kossaczká, M. Ehrhardt and M. Günther, "A deep smoothness WENO method with applications in option pricing" in Progress in Industrial Mathematics at ECMI 2021, Springer International Publishing Cham, 2022, pp. 417--423.
M. Muniz, M. Ehrhardt, M. Günther and R. Winkler, "Higher Strong Order Methods for linear {Itô} {SDEs} on matrix {Lie} Groups", BIT Numer. Math., Jan. 2022. Springer.
M. Muniz, M. Ehrhardt, M. Günther and R. Winkler, "Higher strong order methods for linear It{\^o} SDEs on matrix Lie groups", BIT Numerical Mathematics, pp. 1--25, 2022. Springer Netherlands Dordrecht.
M. Muniz, M. Ehrhardt, M. Günther and R. Winkler, "Higher strong order methods for linear Itô SDEs on matrix Lie groups", BIT Numerical Mathematics, pp. 1--25, 2022. Springer Netherlands Dordrecht.
M. Muniz, M. Ehrhardt, M. Günther and R. Winkler, "Higher strong order methods for linear Ito SDEs on matrix Lie groups (Jan, 10.1007/s10543-021-00905-9, 2022)", BIT Numerical Mathematics, vol. 62, no. 3, pp. 1093--1093, 2022. SPRINGER VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS.
N. Nowaczyk, J. Kienitz, S. K. Acar and Q. Liang, "How deep is your model? Network topology selection from a model validation perspective", JMI, vol. 12 (1), 2022.
M. Henkel, F. Kasolis, M. Clemens, M. Günther and S. Schöps, "Implicit Gauging of Electromagneto-Quasistatic Field Formulations", IEEE Transactions on Magnetics, vol. 58, no. 9, pp. 1--4, 2022. IEEE.
J. Ackermann, T. Kruse and L. Overbeck, "Inhomogeneous affine Volterra processes", Stochastic Processes and their Applications, vol. 150, pp. 250--279, 2022. North-Holland.
L. Agasthya, A. Bartel, L. Biferale, M. Ehrhardt and F. Toschi, "Lagrangian instabilities in thermal convection with", 2022.

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