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Arbeitsgruppe Numerik

Sekretariat
Kollegiengebäude Mathematik (20.30)
Zimmer 3.002 (3. OG)

Adresse
Karlsruher Institut für Technologie
Institut für Angewandte und Numerische Mathematik 1
Englerstr. 2
76131 Karlsruhe

Öffnungszeiten:

Mo. - Fr.

9 - 12 Uhr

Mo. - Do.

13 - 16 Uhr

Kontakt:
Telefon:0721 608-42061
Fax:0721 608-43767
E-Mail:na-sek@math.kit.edu

Publikationen


Sortiert nach

Preprints

[1] M. Hochbruck und A. Sturm
On leap-frog-Chebyshev schemes
CRC 1173-Preprint, no. 2018/17, Karlsruher Institut für Technologie (2018)
Preprint, Paper, BibTex

[2] M. Hochbruck und J. Köhler
On the efficiency of the Peaceman-Rachford ADI-dG method for wave-type methods
CRC 1173-Preprint, no. 2017/34, Karlsruher Institut für Technologie (2017)
Preprint, Paper, BibTex

[3] M. Hochbruck und A. Ostermann
On the convergence of Lawson methods for semilinear stiff problems
CRC 1173-Preprint, no. 2017/9, Karlsruher Institut für Technologie (2017)
Preprint, Paper, BibTex

[4] M. Hochbruck und M. E. Hochstenbach
Subspace extraction for matrix functions
Preprint (2005)
Preprint, Paper, BibTex

Papers

[1] S. Buchholz, L. Gauckler, V. Grimm, M. Hochbruck und T. Jahnke
Closing the gap between trigonometric integrators and splitting methods for highly oscillatory differential equations
IMA J. Numer. Anal., vol. 38, no. 1, pp. 57—74 (2018)
Preprint, Paper, BibTex

[2] D. Hipp, M. Hochbruck und C. Stohrer
Unified error analysis for non-conforming space discretizations of wave-type equations
IMA Journal of Numerical Analysis, pp. 1—40, online first (2018)
Preprint, Paper, BibTex

[3] M. Hochbruck und A. Sturm
Upwind discontinuous Galerkin space discretization and locally implicit time integration for linear Maxwell's equations
Mathematics of Computation, pp. 1—33, online first (2018)
Preprint, Paper, BibTex

[4] M. Hochbruck, T. Pažur und R. Schnaubelt
Error analysis of implicit Runge-Kutta methods for quasilinear hyperbolic evolution equations
Numerische Mathematik, vol. 138, no. 3, pp. 557—579 (2018)
Preprint, Paper, BibTex

[5] L. Fath, M. Hochbruck und C.V. Singh
A fast mollified impulse method for biomolecular atomistic simulations
J. Comp. Phys., vol. 333, pp. 180—198 (2017)
Preprint, Paper, BibTex

[6] M. Hochbruck und T. Pažur
Error analysis of implicit Euler methods for quasilinear hyperbolic evolution equations
Numerische Mathematik, vol. 135, no. 2, pp. 547—569 (2017)
Preprint, Paper, BibTex

[7] J. Deppler, B. Braun, A. Fidlin und M. Hochbruck
Convergence of viscoelastic constraints to nonholonomic idealization
European Journal of Mechanics - A/Solids, vol. 58, pp. 140—147 (2016)
Preprint, Paper, BibTex

[8] M. Hochbruck und C. Stohrer
Finite element heterogeneous multiscale method for time-dependent Maxwell's equations
Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016 (978-3-319-65870-4), pp. 269-281, online first (2016)
Preprint, Paper, BibTex

[9] M. Hochbruck und A. Sturm
Error analysis of a second-order locally implicit method for linear Maxwell's equations
SIAM J. Numer. Anal., vol. 54, no. 5, pp. 3167-3191 (2016)
Preprint, Paper, BibTex

[10] A. Demirel, J. Niegemann, K. Busch und M. Hochbruck
Efficient Multiple Time-Stepping Algorithms of Higher Order
J. Comp. Phys., vol. 285, pp. 133—148 (2015)
Preprint, Paper, BibTex

[11] M. Hochbruck, T. Jahnke und R. Schnaubelt
Convergence of an ADI splitting for Maxwell's equations
Numerische Mathematik, vol. 129, pp. 535—561 (2015)
Preprint, Paper, BibTex

[12] M. Hochbruck und T. Pažur
Implicit Runge—Kutta methods and discontinuous Galerkin discretizations for linear Maxwell's equations
SIAM J. Numer. Anal., vol. 53, no. 1, pp. 485—507 (2015)
Preprint, Paper, BibTex

[13] M. Hochbruck, T. Pažur, A. Schulz, E. Thawinan und C. Wieners
Efficient time integration for discontinuous Galerkin approximations of linear wave equations
ZAMM, vol. 95, no. 3, pp. 237—259 (2015)
Preprint, Paper, BibTex

[14] D. Hipp und M. Hochbruck
A preconditioned Krylov method for an exponential integrator for non-autonomous parabolic systems
Oberwolfach Reports, vol. 11, no. 1, pp. 822—824 (2014)
Preprint, Paper, BibTex

[15] D. Hipp, M. Hochbruck und A. Ostermann
An exponential integrator for non-autonomous parabolic problems
ETNA, vol. 41, pp. 497—511 (2014)
Preprint, Paper, BibTex

[16] M. A. Botchev, V. Grimm und M. Hochbruck
Residual, restarting and Richardson iteration for the matrix exponential
SIAM J. Sci. Comput., vol. 35, no. 3, pp. A1376-A1397 (2013)
Preprint, Paper, BibTex

[17] D. Hipp, M. Hochbruck und A. Ostermann
Exponential integrators for parabolic problems with time dependent coefficients
Oberwolfach Reports, vol. 9, no. 4, pp. 3602—3606 (2012)
Preprint, Paper, BibTex

[18] M. Hochbruck und A. Ostermann
Exponential multistep methods of Adams-type
BIT, vol. 51, pp. 889-908 (2011)
Preprint, Paper, BibTex

[19] M. Hochbruck und D. Löchel
A multilevel Jacobi-Davidson method for polynomial PDE eigenvalue problems arising in plasma physics
SIAM Journal on Scientific Computing, vol. 32, no. 6, pp. 3151—3169 (2010)
Preprint, Paper, BibTex

[20] M. Hochbruck und A. Ostermann
Exponential integrators
Acta Numerica, vol. 19, pp. 209-286 (2010)
Preprint (© Cambridge University Press), Paper, BibTex

[21] M. Hochbruck und M. Hönig
On the convergence of a regularizing Levenberg-Marquardt scheme for nonlinear ill-posed problems
Numerische Mathematik, vol. 115, no. 1, pp. 71—79 (2010)
Preprint, Paper, BibTex

[22] T. Tückmantel, A. Pukhov, J. Liljo und M. Hochbruck
Three-dimensional relativistic particle-in-cell hybrid code based on an exponential integrator
IEEE Transactions on Plasma Science, vol. 38, no. 9, pp. 2383-2389 (2010)
Preprint, Paper, BibTex

[23] D. Löchel, M. Tokar, M. Hochbruck und D. Reiser
Effect of poloidal inhomogeneity in plasma parameters on edge anomalous transport
IOP, Physics of Plasmas, vol. 16, no. 4 (April 2009)
Preprint, Paper, BibTex

[24] M. Hochbruck, M. Hönig und A. Ostermann
A convergence analysis of the exponential Euler iteration for nonlinear ill-posed problems
Inverse Problems, vol. 25 (2009)
Preprint, Paper, BibTex

[25] M. Hochbruck, M. Hönig und A. Ostermann
Regularization of nonlinear ill-posed problems by exponential integrators
M2NA, vol. 43, pp. 709-720 (2009)
Preprint, Paper, BibTex

[26] M. Hochbruck, A. Ostermann und J. Schweitzer
Exponential Rosenbrock-type methods
SIAM J. Numer. Anal., vol. 47, no. 1, pp. 786—803 (2009)
Preprint, Paper, BibTex

[27] V. Grimm und M. Hochbruck
Rational approximation to trigonometric operators
BIT, vol. 48, no. 2, pp. 215—229 (2008)
Preprint, Paper, BibTex

[28] M. Hochbruck und J. Niehoff
Approximation of matrix operators applied to multiple vectors
Math. Comput. Simul., vol. 79, no. 4, pp. 1270—1283 (2008)
Preprint, Paper, BibTex

[29] C. Karle, J. Schweitzer, M. Hochbruck und K. H. Spatschek
A parallel implementation of a two-dimensional fluid laser-plasma integrator for stratified plasma-vacuum systems
J. Comp. Phys., vol. 227, pp. 7701—7719 (2008)
Preprint, Paper, BibTex

[30] J. Liljo, A. Karmakar, A. Pukhov und M. Hochbruck
One dimensional electromagnetic relativistic PIC-hydrodynamic hybrid simulation code H-VLPL (Hybrid Virtual Laser Plasma Lab)
Computer Physics Communication, vol. 179, no. 6, pp. 371—379 (2008)
Preprint, Paper, BibTex

[31] V. Grimm (joint work with M. Hochbruck)
Exponential integrators for highly oscillatory differential equations
Oberwolfach Reports, vol. 3, no. 1, pp. 868—869 (2006)
Preprint, Paper, BibTex

[32] V. Grimm und M. Hochbruck
Error analysis of exponential integrators for oscillatory second-order differential equations
J. Phys. A: Math. Gen., vol. 39, pp. 5495—5507 (2006)
Preprint, Paper, BibTex

[33] C. Karle, J. Schweitzer, M. Hochbruck, E. W. Laedke und K. H. Spatschek
Numerical solution of nonlinear wave equations in stratified dispersive media
J. Comp. Phys., vol. 216, pp. 138—152 (2006)
Preprint, Paper, BibTex

[34] Marlis Hochbruck und Alexander Ostermann
Explicit integrators of Rosenbrock-type
Oberwolfach Reports, vol. 3, no. 2, pp. 1107—1110 (2006)
Preprint, Paper, BibTex

[35] J. van den Eshof und M. Hochbruck
Preconditioning Lanczos approximations to the matrix exponential
SIAM J. Sci. Comp., vol. 27, no. 4, pp. 1438—1457 (2006)
Preprint, Paper, BibTex

[36] Marlis Hochbruck und Alexander Ostermann
Explicit exponential Runge-Kutta methods for semilinear parabolic problems
SIAM J. Numer. Anal., vol. 43, no. 3, pp. 1069—1090 (2005)
Preprint, Paper, BibTex

[37] Marlis Hochbruck und Alexander Ostermann
Exponential Runge-Kutta methods for parabolic problems
Appl. Numer. Math., vol. 53, no. 2—4, pp. 323—339 (2005)
Preprint, Paper, BibTex

[38] Marlis Hochbruck und Christian Lubich
On Magnus integrators for time-dependent Schrödinger equations
SIAM J. Numer. Anal., vol. 41, no. 3, pp. 945—963 (2003)
Preprint, Paper, BibTex

[39] Marlis Hochbruck und Jörg-M. Sautter
Mathematik fürs Leben am Beispiel der Computertomographie
Mathematische Semesterberichte, vol. 49, no. 1, pp. 95—113 (2002)
Preprint, Paper, BibTex

[40] Marlis Hochbruck und Christian Lubich
A Gautschi-type method for oscillatory second-order differential equations
Numer. Math., vol. 83, no. 3, pp. 403—426 (1999)
Preprint, Paper, BibTex

[41] Marlis Hochbruck und Christian Lubich
Exponential integrators for quantum-classical molecular dynamics
BIT, vol. 39, no. 4, pp. 620—645 (1999)
Preprint, Paper, BibTex

[42] M. Hochbruck und Ch. Lubich
A bunch of time integrators for quantum/classical molecular dynamics
pp. 421—432 in Algorithms for Macromolecular Modelling , edited by P. Deuflhard, J. Hermans, B. Leimkuhler, A. Mark, S. Reich und R.D. Skeel , Lecture Notes in Computational Science and Engineering , Springer (1999)
Preprint, Paper, BibTex

[43] Marlis Hochbruck
A numerical comparison of look-ahead Levinson and Schur algorithms for non-Hermitian Toeplitz systems
in Special issue on "High Performance Algorithms for Structured Linear Systems". Volume II in the series "Advances in the Theory of Computation and Computational Mathematics" edited by P. Arbenz, M. Paprzycki, and A. Sameh., vol. 2 (1998)
Preprint, Paper, BibTex

[44] Marlis Hochbruck und Christian Lubich
Error analysis of Krylov methods in a nutshell
SIAM J. Sci. Comput., vol. 19, no. 2, pp. 695—701 (1998)
Preprint, Paper, BibTex

[45] Marlis Hochbruck, Christian Lubich und Hubert Selhofer
Exponential integrators for large systems of differential equations
SIAM J. Sci. Comp., vol. 19, no. 5, pp. 1552—1574 (1998)
Preprint, Paper, BibTex

[46] Marlis Hochbruck
Further optimized look-ahead recurrences for adjacent rows in the Padé table and Toeplitz matrix factorizations
J. Comp. Appl. Math., vol. 86, no. 1, pp. 219—236 (1997)
Preprint, Paper, BibTex

[47] Marlis Hochbruck und Christian Lubich
On Krylov subspace approximations to the matrix exponential operator
SIAM J. Numer. Anal., vol. 34, no. 5, pp. 1911—1925 (1997)
Preprint, Paper, BibTex

[48] Martin H. Gutknecht und Marlis Hochbruck
Optimized look-ahead recurrences for adjacent rows in the Padé table
BIT, vol. 36, no. 2, pp. 264—286 (1996)
Preprint, Paper, BibTex