Mechthild Thalhammer

Publication Activity (10 Years)

Years Active: 2002-2024
Publications (10 Years): 18

Top Topics

Finite Element Methods

Evolution Equation

Top Venues

J. Comput. Appl. Math.

SIAM J. Numer. Anal.

Comput. Phys. Commun.

Publications

Sergio Blanes, Fernando Casas, Cesáreo González, Mechthild Thalhammer
Generalisation of splitting methods based on modified potentials to nonlinear evolution equations of parabolic and Schrödinger type. Comput. Phys. Commun. 295 (2024)
Sergio Blanes, Fernando Casas, Cesáreo González, Mechthild Thalhammer
Symmetric-conjugate splitting methods for evolution equations of parabolic type. CoRR (2024)
José Antonio Carrillo, Mechthild Thalhammer
Novel approaches for the reliable and efficient numerical evaluation of the Landau operator. CoRR (2024)
Sergio Blanes, Fernando Casas, Cesáreo González, Mechthild Thalhammer
Generalization of splitting methods based on modified potentials to nonlinear evolution equations of parabolic and Schrödinger type. CoRR (2023)
Tobias Böhle, Mechthild Thalhammer, Christian Kuehn
Community integration algorithms (CIAs) for dynamical systems on networks. J. Comput. Phys. 469 (2022)
Tobias Böhle, Christian Kuehn, Mechthild Thalhammer
On the reliable and efficient numerical integration of the Kuramoto model and related dynamical systems on graphs. Int. J. Comput. Math. 99 (1) (2022)
Tobias Böhle, Mechthild Thalhammer, Christian Kuehn
Community Integration Algorithms (CIAs) for Dynamical Systems on Networks. CoRR (2022)
Tobias Böhle, Christian Kuehn, Mechthild Thalhammer
On the reliable and efficient numerical integration of the Kuramoto model and related dynamical systems on graphs. CoRR (2021)
Erika Hausenblas, Tsiry Avisoa Randrianasolo, Mechthild Thalhammer
Theoretical study and numerical simulation of pattern formation in the deterministic and stochastic Gray-Scott equations. J. Comput. Appl. Math. 364 (2020)
Philipp Bader, Sergio Blanes, Fernando Casas, Mechthild Thalhammer
Efficient time integration methods for Gross-Pitaevskii equations with rotation term. CoRR (2019)
Sergio Blanes, Fernando Casas, Mechthild Thalhammer
High-order commutator-free quasi-Magnus exponential integrators for non-autonomous linear evolution equations. Comput. Phys. Commun. 220 (2017)
Winfried Auzinger, Thomas Kassebacher, Othmar Koch, Mechthild Thalhammer
Adaptive splitting methods for nonlinear Schrödinger equations in the semiclassical regime. Numer. Algorithms 72 (1) (2016)
Cesáreo González, Mechthild Thalhammer
Higher-Order Exponential Integrators for Quasi-Linear Parabolic Problems. Part II: Convergence. SIAM J. Numer. Anal. 54 (5) (2016)
Philippe Chartier, Florian Méhats, Mechthild Thalhammer, Yong Zhang
Improved error estimates for splitting methods applied to highly-oscillatory nonlinear Schrödinger equations. Math. Comput. 85 (302) (2016)
Winfried Auzinger, Harald Hofstätter, Othmar Koch, Mechthild Thalhammer
Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part III: The nonlinear case. J. Comput. Appl. Math. 273 (2015)
Etienne Emmrich, David Siska, Mechthild Thalhammer
On a Full Discretisation for Nonlinear Second-Order Evolution Equations with Monotone Damping: Construction, Convergence, and Error Estimates. Found. Comput. Math. 15 (6) (2015)
Winfried Auzinger, Othmar Koch, Mechthild Thalhammer
Defect-based local error estimators for high-order splitting methods involving three linear operators. Numer. Algorithms 70 (1) (2015)
Cesáreo González, Mechthild Thalhammer
Higher-Order Exponential Integrators for Quasi-Linear Parabolic Problems. Part I: Stability. SIAM J. Numer. Anal. 53 (2) (2015)
Joachim Gwinner, Mechthild Thalhammer
Full Discretisations for Nonlinear Evolutionary Inequalities Based on Stiffly Accurate Runge-Kutta and hp-Finite Element Methods. Found. Comput. Math. 14 (5) (2014)
Winfried Auzinger, Othmar Koch, Mechthild Thalhammer
Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part II. Higher-order methods for linear problems. J. Comput. Appl. Math. 255 (2014)
Harald Hofstätter, Othmar Koch, Mechthild Thalhammer
Convergence analysis of high-order time-splitting pseudo-spectral methods for rotational Gross-Pitaevskii equations. Numerische Mathematik 127 (2) (2014)
Mechthild Thalhammer
Convergence Analysis of High-Order Time-Splitting Pseudospectral Methods for Nonlinear Schrödinger Equations. SIAM J. Numer. Anal. 50 (6) (2012)
Winfried Auzinger, Othmar Koch, Mechthild Thalhammer
Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part I: The linear case. J. Comput. Appl. Math. 236 (10) (2012)
Mechthild Thalhammer, Jochen Abhau
A numerical study of adaptive space and time discretisations for Gross-Pitaevskii equations. J. Comput. Phys. 231 (20) (2012)
Etienne Emmrich, Mechthild Thalhammer
Stiffly accurate Runge-Kutta methods for nonlinear evolution problems governed by a monotone operator. Math. Comput. 79 (270) (2010)
Etienne Emmrich, Mechthild Thalhammer
Convergence of a Time Discretisation for Doubly Nonlinear Evolution Equations of Second Order. Found. Comput. Math. 10 (2) (2010)
Mechthild Thalhammer, Marco Caliari, Christof Neuhauser
High-order time-splitting Hermite and Fourier spectral methods. J. Comput. Phys. 228 (3) (2009)
Marco Caliari, Alexander Ostermann, Stefan Rainer, Mechthild Thalhammer
A minimisation approach for computing the ground state of Gross-Pitaevskii systems. J. Comput. Phys. 228 (2) (2009)
Mechthild Thalhammer
High-Order Exponential Operator Splitting Methods for Time-Dependent Schrödinger Equations. SIAM J. Numer. Anal. 46 (4) (2008)
Cesáreo González, Mechthild Thalhammer
A second-order Magnus-type integrator for quasi-linear parabolic problems. Math. Comput. 76 (257) (2007)
Mechthild Thalhammer
A fourth-order commutator-free exponential integrator for nonautonomous differential equations. SIAM J. Numer. Anal. 44 (2) (2006)
Cesáreo González, Alexander Ostermann, Cesar Palencia, Mechthild Thalhammer
Backward Euler discretization of fully nonlinear parabolic problems. Math. Comput. 71 (237) (2002)