Numerik

de Souza, G.R. et al. (2024) ‘EXPLICIT STABILIZED MULTIRATE METHODS FOR THE MONODOMAIN MODEL IN CARDIAC ELECTROPHYSIOLOGY’, ESAIM: Mathematical Modelling and Numerical Analysis, 58(6), pp. 2225–2254. Available at: https://doi.org/10.1051/m2an/2024030.

Gleichmann, Yannik G and Grote, Marcus J (2023) ‘Adaptive Spectral Inversion for inverse medium problems’, Inverse Problems, 39(12), p. 125007. Available at: https://doi.org/10.1088/1361-6420/ad01d4.

Abdulle, Assyr, Grote, Marcus J. and Rosilho de Souza, Giacomo (2022) ‘Explicit stabilized multirate method for stiff differential equations’, Mathematics of Computation, 91(338), pp. 2681–2714. Available at: https://doi.org/10.1090/mcom/3753.

Baffet, Daniel, Gleichmann, Yannik and Grote, Marcus J. (2022) ‘Error estimates for adaptive spectral decompositions’, Journal of Scientific Computing, 93(3), p. 68. Available at: https://doi.org/10.1007/s10915-022-02004-5.

Chaumont-Frelet, Théophile et al. (2022) ‘A controllability method for Maxwell’s Equations’, SIAM Journal on Scientific Computing, 44(6), pp. A3700–A3727. Available at: https://doi.org/10.1137/21m1424445.

Grote, Marcus J., Michel, Simon and Nobile, Fabio (2022) ‘Uncertainty quantification by multilevel Monte Carlo and local time-stepping’, SIAM/ASA Journal on Uncertainty Quantification, 10(4), pp. 1601–1628. Available at: https://doi.org/10.1137/21m1429047.

Baffet, Daniel, Grote, Marcus J. and Tang, Jet Hoe (2021) ‘Adaptive Spectral Decompositions for Inverse Medium Problems’, Inverse Problems, 37(2). Available at: https://doi.org/10.1088/1361-6420/abc2ff.

Grote, Marcus J., Michel, Simon R. J. and Sauter, Stefan (2021) ‘Stabilized Leapfrog Based Local Time-Stepping Method for the Wave Equation’, Mathematics of Computation, 90(332), pp. 2603–2643. Available at: https://doi.org/10.1090/mcom/3650.

Michel, Simon René Jonas (2021) Analysis and applications of leapfrog-based local time-stepping methods for the wave equation. Dissertation.

Grote, Marcus J. et al. (2020) ‘Parallel Controllability Methods for the Helmholtz Equation’, Computer Methods in Applied Mechanics and Engineering, 362, p. 112846. Available at: https://doi.org/10.1016/j.cma.2020.112846.

Baffet, Daniel and Grote, Marcus J. (2019) ‘On Wave Splitting, Source Separation and Echo Removal with Absorbing Boundary Conditions’, Journal of computational physics, 387, pp. 589–596. Available at: https://doi.org/10.1016/j.jcp.2019.03.004.

Baffet, Daniel and Grote, Marcus J. (2019) ‘One-Way Operators for Time Dependent Wave Splitting and Echo Removal’. TU Wien: TU Wien. Available at: https://doi.org/10.34726/waves2019.

Baffet, Daniel, Grote, Marcus J. and Tang, Jet Hoe (2019) ‘Adaptive Eigenspace Regularization for Inverse Scattering Problems’. TU Wien: TU Wien. Available at: https://doi.org/10.34726/waves2019.

Baffet, Daniel H. et al. (2019) ‘Energy Decay and Stability of a Perfectly Matched Layer For the Wave Equation’, Journal of Scientific Computing, 81(3), pp. 2237–2270. Available at: https://doi.org/10.1007/s10915-019-01089-9.

Graff, Marie et al. (2019) ‘How To Solve Inverse Scattering Problems Without Knowing the Source Term: A Three-step Strategy’, Inverse Problems, 35(10), p. 104001. Available at: https://doi.org/10.1088/1361-6420/ab2d5f.

Graff, Marie et al. (2019) ‘How to solve inverse scattering problems without knowing the source term’. TU Wien: TU Wien. Available at: https://doi.org/10.34726/waves2019.

Grote, Marcus J. and Michel, Simon (2019) ‘Efficient Uncertainty Quantification for Wave Propagation in Complex Geometry’. TU Wien: TU Wien. Available at: https://doi.org/10.34726/waves2019.

Grote, Marcus J. and Nahum, Uri (2019) ‘Adaptive Eigenspace for Multi-Parameter Inverse Scattering Problems’, Computers & mathematics with applications, 77(12), pp. 3264–3280. Available at: https://doi.org/10.1016/j.camwa.2019.02.005.

Grote, Marcus J. et al. (2019) ‘Scalable Parallel Methods for the Helmholtz Equation via Exact Controllability’. TU Wien: TU Wien. Available at: https://doi.org/10.34726/waves2019.

Grote, Marcus J. and Tang, Jet Hoe (2019) ‘On Controllability Methods for the Helmholtz Equation’, Journal of computational and applied mathematics, 358, pp. 306–326. Available at: https://doi.org/10.1016/j.cam.2019.03.016.

Abdulle, Assyr, Grote, Marcus J. and Jecker, Orane (2018) ‘Finite element heterogeneous multiscale method for elastic waves in heterogeneous media’, Computer Methods in Applied Mechanics and Engineering, 335(335), pp. 1–23. Available at: https://doi.org/10.1016/j.cma.2018.01.038.

Baffet, Daniel Henri (2018) ‘A Gauss-Jacobi Kernel Compression Scheme for Fractional Differential Equations’, Journal of scientific computing, 79, pp. 227–248. Available at: https://doi.org/10.1007/s10915-018-0848-x.

Grote, Marcus J., Mehlin, Michaela and Sauter, Stefan A. (2018) ‘Convergence Analysis of Energy Conserving’, SIAM Journal on Numerical Analysis, 56(2), pp. 994–1021. Available at: https://doi.org/10.1137/17m1121925.

Grote, Marcus J., Kray, Marie and Nahum, Uri (2017) ‘Adaptive eigenspace method for inverse scattering problems in the frequency domain’, Inverse Problems, 33(2), p. 025006. Available at: https://doi.org/10.1088/1361-6420/aa5250.

Grote, Marcus J. et al. (2017) ‘Time-dependent wave splitting and source separation’, Journal of Computational Physics, 330, pp. 981–996. Available at: https://doi.org/10.1016/j.jcp.2016.10.021.

Rietmann, Max et al. (2017) ‘Newmark local time stepping on high-performance computing architectures’, Journal of Computational Physics, 334, pp. 308–326. Available at: https://doi.org/10.1016/j.jcp.2016.11.012.

Nahum, Uri (2016) Adaptive eigenspace for inverse problems in the frequency domain. Dissertation.

Almquist, Martin, Grote, Marcus and Mehlin, Michaela (2015) ‘Multi-Level Runge-Kutta based Explicit Local Time-Stepping for Wave Propagation’. KIT: KIT.

Diaz, Julien and Grote, Marcus J. (2015) ‘Multi-level Explicit Local Time-stepping For Second-order Wave Equations’, Computer methods in applied mechanics and engineering, 291, pp. 240–265. Available at: https://doi.org/10.1016/j.cma.2015.03.027.

Gaudio, Loredana, Grote, Marcus and Mehlin, Michaela (2015) ‘Convergence Analysis of Leap-Frog Based Local Time-Stepping for the Wave Equation’. KIT: KIT.

Grote, Marcus J. et al. (2015) ‘Wave splitting for time-dependent scattered field separation’, Comptes rendus mathematique, 353(6), pp. 523–527. Available at: https://doi.org/10.1016/j.crma.2015.03.008.

Grote, Marcus J., Mehlin, Michaela and Mitkova, Teodora (2015) ‘Runge-Kutta Based Explicit Local Time-Stepping Methods for Wave Propagation’, SIAM journal on scientific computing, 37(2), pp. A747–A775. Available at: https://doi.org/10.1137/140958293.

Grote, Marcus et al. (2015) ‘Wave-Splitting for Time-Dependent Scattered Field Separation’. KIT: KIT. Available at: https://doi.org/10.1016/j.crma.2015.03.008.

Grote, Marcus and Mehlin, Michaela (2015) ‘Runge-Kutta type Explicit Local Time-Stepping for Electromagnetics’. KIT: KIT.

Grote, Marcus and Nahum, Uri (2015) ‘Adaptive Eigenspace Inversion for the Helmholtz Equation’. KIT: KIT.

Mehlin, Michaela (2015) Efficient explicit time integration for the simulation of acoustic and electromagnetic waves. Dissertation.

Rietmann, Max et al. (2015) ‘Load-Balanced Local Time Stepping for Large-Scale Wave Propagation’. IEEE: IEEE. Available at: https://doi.org/10.1109/ipdps.2015.10.

Abdulle, Assyr, Grote, Marcus J. and Stohrer, Christian (2014) ‘Finite Element Heterogeneous Multiscale Method for the Wave Equation: Long Time Effects’, Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 12(3), pp. 1230–1257. Available at: https://doi.org/10.1137/13094195x.

Grote, Marcus J. et al. (2014) ‘Inexact Interior-Point Method for PDE-Constrained Nonlinear Optimization’, SIAM Journal on Scientific Computing, 36(3), pp. A1251–A1276. Available at: https://doi.org/10.1137/130921283.

Grote, M.J. and Mitkova, T. (2013) ‘High-order explicit local time-stepping methods for damped wave equations’, Journal of Computational and Applied Mathematics, 239(1), pp. 270–289. Available at: https://doi.org/10.1016/j.cam.2012.09.046.

Abdulle, Assyr, Grote, Marcus J. and Stohrer, Christian (2013) ‘FE Heterogeneous Multiscale Method for Long Time Wave Propagation’, Comptes rendus mathematique, 351(11-12), pp. 495–499. Available at: https://doi.org/10.1016/j.crma.2013.06.002.

Abdulle, Assyr, Grote, Marcus J. and Stohrer, Christian (2013) ‘Finite element heterogeneous multiscale method for the wave equation: long-time effects’. INRIA: INRIA. Available at: https://doi.org/10.4171/owr/2013/03.

Assous, Frank et al. (2013) ‘Time-reversed absorbing conditions (TRAC): discrimination between one and two nearby inclusions in the partial aperture case’. INRIA: INRIA.

Cohen, D., Larsson, S. and Sigg, M. (2013) ‘A trigonometric method for the linear stochastic wave equation’, SIAM Journal on Numerical Analysis, 51(1), pp. 204–222. Available at: https://doi.org/10.1137/12087030x.

de Buhan, Maya and Kray, Marie (2013) ‘A new approach to solve the inverse scattering problem for waves: combining the TRAC and the Adaptive Inversion methods’, Inverse problems, 29(8), p. 085009. Available at: https://doi.org/10.1088/0266-5611/29/8/085009.

Gaudio, Loredana, Grote, Marcus J. and Schenk, Olaf (2013) ‘Interior point method for time-dependent inverse problems’. INRIA: INRIA.

Grote, Marcus J., Mehlin, Michaela and Mitkova, Teodora (2013) ‘Runge-Kutta type explicit local time-stepping methods’. INRIA: INRIA.

Huber, Johannes (2013) Interior-point methods for PDE-constrained optimization. Dissertation.

Stohrer, Christian (2013) Finite element heterogeneous multiscale methods for the wave equation. Dissertation. Available at: https://doi.org/10.5451/unibas-006145369.

Grote, Marcus J. and Mitkova, Teodora (2013) ‘Explicit Local Time-Stepping Methods for Time-Dependent Wave Propagation’, in Graham, I.; Langer, U.; Melenk, J.; Sini, M. (ed.) Direct and Inverse Problems in Wave Propagation and Applications. Berlin: De Gruyter (Radon Series on Comput. and Appl. Math.), p. S. 187–218. Available at: https://doi.org/10.1515/9783110282283.187.

Cohen, David (2012) ‘On the numerical discretisation of stochastic oscillators’, Mathematics and Computers in Simulation, 82(8), pp. 1478–1495. Available at: https://doi.org/10.1016/j.matcom.2012.02.004.

Grote, Marcus J., Mehlin, Michaela and Mitkova, Teodora (2012) ‘Theory and Applications of Discontinuous Galerkin Methods’. European Math Society: European Math Society. Available at: https://doi.org/10.4171/owr/2012/10.

Grote, Marcus J., Mehlin, Michaela and Mitkova, Teodora (2012) ‘High-Order Local Time-Stepping with Explicit Runge-Kutta Methods’. ETHZ: ETHZ.

Abdulle, Assyr and Grote, Marcus J. (2011) ‘Finite Element Heterogeneous Multiscale Method for the Wave Equation’, Multiscale Modeling & Simulation, 9(2), pp. 766–792. Available at: https://doi.org/10.1137/100800488.

Abdulle Assyr, Grote, Marcus J. and Stohrer, Christian (2011) ‘Finite element heterogeneous multiscale method for transient wave propagation’. The Pacific Institute for the Mathematical Sciences: The Pacific Institute for the Mathematical Sciences. Available at: http://www.sfu.ca/WAVES/proceedings/.

Cohen, David and Sigg, Magdalena (2011) ‘Convergence analysis of trigonometric methods for stiff second-order stochastic differential equations’, Numerische Mathematik, 121(1), pp. 1–29. Available at: https://doi.org/10.1007/s00211-011-0426-8.

Grote, Marcus J et al. (2011) ‘Dynamic formation of oriented patches in chondrocyte cell cultures’, Journal of mathematical biology, 63(4), pp. 757–77. Available at: https://doi.org/10.1007/s00285-010-0390-4.

Grote, Marcus J. and Sim, Imbo (2011) ‘Local nonreflecting boundary condition for time-dependent multiple scattering’, Journal of Computational Physics, 230(8), pp. 3135–3154. Available at: https://doi.org/10.1016/j.jcp.2011.01.017.

Grote, M. J., Huber, J. and Schenk, O. (2011) ‘Interior point methods for the inverse medium problem on massively parallel architectures’, in Sato, M; Matsuoka, S; Sloot, PMA; VanAlbada, GD; Dongarra, J (ed.). Elsevier: Elsevier. Available at: https://doi.org/10.1016/j.procs.2011.04.159.

Grote, Marcus J. and Mitkova, Teodora (2010) ‘Explicit local time-stepping for Maxwell’s equations’, Journal of computational and applied mathematics, 234(12), pp. 3283–3302. Available at: https://doi.org/10.1016/j.cam.2010.04.028.

Grote, Marcus J. and Mitkova, Teodora (2010) ‘Discontinuous galerkin methods and local time stepping for wave propagation’, in Psihoyios, G; Tsitouras, C (ed.). American Institute of Physics (AIP): American Institute of Physics (AIP). Available at: https://doi.org/10.1063/1.3498464.

Bollhoefer, Matthias, Grote, Marcus J. and Schenk, Olaf (2009) ‘Algebraic multilevel preconditioner for the Helmholtz equation in heterogeneous media’, SIAM journal on scientific computing, 31(5), pp. 3781–3805. Available at: https://doi.org/10.1137/080725702.

Diaz, Julien and Grote, Marcus J. (2009) ‘Energy conserving explicit local time-stepping for second-order wave equations’, SIAM journal on scientific computing, 31(3), pp. 1985–2014. Available at: https://doi.org/10.1137/070709414.

Grote, Marcus J. and Schoetzau, Dominik (2009) ‘Optimal error estimates for the fully discrete interior penalty DG method for the wave equation’, Journal of scientific computing, 40(1-3), pp. 257–272. Available at: https://doi.org/10.1007/s10915-008-9247-z.

Grote, Marcus J. and Sim, Imbo (2009) ‘On local nonreflecting boundary conditions for time-dependent wave propagation’, Chinese annals of mathematics. Ser. B, 30(5), pp. 589–606. Available at: https://doi.org/10.1007/s11401-009-0203-5.

Grote, M. and Mitkova, T. (2009) ‘Explicit local time-stepping for transient electromagnetic waves’, in Barucq, H.; Bonnet-Bendhia, A.-S.; Cohen, G.; Diaz, J.; Ezziani, A.; Joly, P. (ed.). INRIA: INRIA.

John, Volker et al. (2009) ‘Simulations of population balance systems with one internal coordinate using finite element methods’, Chemical engineering science, 64(4), pp. 733–741. Available at: https://doi.org/10.1016/j.ces.2008.05.004.

Grote, Marcus J., Schneebeli, Anna and Schötzau, Dominik (2008) ‘Interior penalty discontinuous Galerkin method for Maxwell’s equations: Optimal L2-norm error estimates’, IMA Journal of Numerical Analysis. 19.11.2007, 28(3), pp. 440–468. Available at: https://doi.org/10.1093/imanum/drm038.

Grote, M.J. (2008) ‘Local and nonlocal nonreflecting boundary conditions for electromagnetic scattering’. Springer Verlag, pp. 105–127. Available at: https://doi.org/10.1007/978-3-540-73778-0_4.

Grote, Marcus J., Schneebeli, Anna and Schötzau, Dominik (2007) ‘Interior penalty discontinuous Galerkin method for Maxwell’s equations: Energy norm error estimates’, Journal of Computational and Applied Mathematics, 204(2), pp. 375–386. Available at: https://doi.org/10.1016/j.cam.2006.01.044.

Grote, M.J. and Kirsch, C. (2007) ‘Nonreflecting boundary condition for time-dependent multiple scattering’, Journal of Computational Physics, 221(1), pp. 41–62. Available at: https://doi.org/10.1016/j.jcp.2006.06.007.

Grote, M.J., Schneebeli, A. and Schötzau, D. (2006) ‘Discontinuous Galerkin finite element method for the wave equation’, SIAM Journal on Numerical Analysis, 44(6), pp. 2408–2431. Available at: https://doi.org/10.1137/05063194X.

Grote, M.J. (2006) ‘Local nonreflecting boundary condition for Maxwell’s equations’, Computer Methods in Applied Mechanics and Engineering, 195(29-32), pp. 3691–3708. Available at: https://doi.org/10.1016/j.cma.2005.02.029.

Majda, A., Abramov, R. and Grote, M. (2005) Information Theory and Stochastics for Multiscale Nonlinear Systems. Providence, Rhode Island: American Mathematical Society. Available at: https://doi.org/10.1090/crmm/025.

Grote, M.J. and Kirsch, C. (2004) ‘Dirichlet-to-Neumann boundary conditions for multiple scattering problems’, Journal of Computational Physics, 201(2), pp. 630–650. Available at: https://doi.org/10.1016/j.jcp.2004.06.012.

Bangerth, W., Grote, M. and Hohenegger, C. (2004) ‘Finite element method for time dependent scattering: Nonreflecting boundary condition, adaptivity, and energy decay’, Computer Methods in Applied Mechanics and Engineering, 193(23-26), pp. 2453–2482. Available at: https://doi.org/10.1016/j.cma.2004.01.021.

Grote, M.J. (2004) ‘Nonreflecting Boundary Conditions for Time Dependent Waves’, in A Celebration of Mathematical Modeling. Dordrecht: Springer Netherlands (A Celebration of Mathematical Modeling), pp. 73–92. Available at: https://doi.org/10.1007/978-94-017-0427-4_5.

Grote, M.J., Kirsch, C. and Meury, P. (2004) ‘Nonreflecting Boundary Conditions for Multiple Domain Wave Scattering in Unbounded Media’, in Numerical Mathematics and Advanced Applications. Berlin, Heidelberg: Springer Berlin Heidelberg (Numerical Mathematics and Advanced Applications), pp. 391–399. Available at: https://doi.org/10.1007/978-3-642-18775-9_36.

Gächter, G.k. and Grote, M.J. (2003) ‘Dirichlet-to-Neumann map for three-dimensional elastic waves’, Wave Motion, 37(3), pp. 293–311. Available at: https://doi.org/10.1016/S0165-2125(02)00091-4.

Grote, M.J. and Kirsch, C. (2003) ‘Dirichlet-to-Neumann Boundary Condition for Multiple Scattering Problems’, in Mathematical and Numerical Aspects of Wave Propagation WAVES 2003. Berlin, Heidelberg: Springer Berlin Heidelberg (Mathematical and Numerical Aspects of Wave Propagation WAVES 2003), pp. 263–267. Available at: https://doi.org/10.1007/978-3-642-55856-6_42.

Grote, M.J. and Kirsch, C. (2003) ‘Far-field Evaluation via Nonreflecting Boundary Conditions’, in Hyperbolic Problems: Theory, Numerics, Applications. Berlin, Heidelberg: Springer Berlin Heidelberg (Hyperbolic Problems: Theory, Numerics, Applications), pp. 195–204. Available at: https://doi.org/10.1007/978-3-642-55711-8_17.

Bröker, O. and Grote, M.J. (2002) ‘Sparse approximate inverse smoothers for geometric and algebraic multigrid’, pp. 61–80. Available at: https://doi.org/10.1016/S0168-9274(01)00110-6.

Bröker, O. et al. (2002) ‘Robust parallel smoothing for multigrid via sparse approximate inverses’, SIAM Journal on Scientific Computing, 23(4), pp. 1396–1417. Available at: https://doi.org/10.1137/S1064827500380623.