Mechthild Thalhammer

34 papers Journal 34
YearRankTypeTitle / Venue / Authors
2026 J jnl
Modified splitting methods for Gross-Pitaevskii systems modelling Bose-Einstein condensates: Time evolution and ground state computation.
CoRR
Mechthild Thalhammer, Gregor Thalhammer-Thurner
2024 J jnl
Generalisation of splitting methods based on modified potentials to nonlinear evolution equations of parabolic and Schrödinger type.
Comput. Phys. Commun.
Sergio Blanes, Fernando Casas, Cesáreo González, Mechthild Thalhammer
2024 J jnl
Novel approaches for the reliable and efficient numerical evaluation of the Landau operator.
CoRR
José Antonio Carrillo, Mechthild Thalhammer
2024 J jnl
Splitting methods with complex coefficients for linear and nonlinear evolution equations.
CoRR
Sergio Blanes, Fernando Casas, Cesáreo González, Mechthild Thalhammer
2024 J jnl
Symmetric-conjugate splitting methods for evolution equations of parabolic type.
CoRR
Sergio Blanes, Fernando Casas, Cesáreo González, Mechthild Thalhammer
2023 J jnl
Generalization of splitting methods based on modified potentials to nonlinear evolution equations of parabolic and Schrödinger type.
CoRR
Sergio Blanes, Fernando Casas, Cesáreo González, Mechthild Thalhammer
2022 J jnl
Community Integration Algorithms (CIAs) for Dynamical Systems on Networks.
CoRR
Tobias Böhle, Mechthild Thalhammer, Christian Kuehn
2022 J jnl
Community integration algorithms (CIAs) for dynamical systems on networks.
J. Comput. Phys.
Tobias Böhle, Mechthild Thalhammer, Christian Kuehn
2022 J jnl
On the reliable and efficient numerical integration of the Kuramoto model and related dynamical systems on graphs.
Int. J. Comput. Math.
Tobias Böhle, Christian Kuehn, Mechthild Thalhammer
2021 J jnl
On the reliable and efficient numerical integration of the Kuramoto model and related dynamical systems on graphs.
CoRR
Tobias Böhle, Christian Kuehn, Mechthild Thalhammer
2020 J jnl
Theoretical study and numerical simulation of pattern formation in the deterministic and stochastic Gray-Scott equations.
J. Comput. Appl. Math.
Erika Hausenblas, Tsiry Avisoa Randrianasolo, Mechthild Thalhammer
2019 J jnl
Efficient time integration methods for Gross-Pitaevskii equations with rotation term.
CoRR
Philipp Bader, Sergio Blanes, Fernando Casas, Mechthild Thalhammer
2017 J jnl
High-order commutator-free quasi-Magnus exponential integrators for non-autonomous linear evolution equations.
Comput. Phys. Commun.
Sergio Blanes, Fernando Casas, Mechthild Thalhammer
2016 J jnl
Adaptive splitting methods for nonlinear Schrödinger equations in the semiclassical regime.
Numer. Algorithms
Winfried Auzinger, Thomas Kassebacher, Othmar Koch, Mechthild Thalhammer
2016 J jnl
Higher-Order Exponential Integrators for Quasi-Linear Parabolic Problems. Part II: Convergence.
SIAM J. Numer. Anal.
Cesáreo González, Mechthild Thalhammer
2016 J jnl
Improved error estimates for splitting methods applied to highly-oscillatory nonlinear Schrödinger equations.
Math. Comput.
Philippe Chartier, Florian Méhats, Mechthild Thalhammer, Yong Zhang
2015 J jnl
Defect-based local error estimators for high-order splitting methods involving three linear operators.
Numer. Algorithms
Winfried Auzinger, Othmar Koch, Mechthild Thalhammer
2015 J jnl
Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part III: The nonlinear case.
J. Comput. Appl. Math.
Winfried Auzinger, Harald Hofstätter, Othmar Koch, Mechthild Thalhammer
2015 J jnl
Higher-Order Exponential Integrators for Quasi-Linear Parabolic Problems. Part I: Stability.
SIAM J. Numer. Anal.
Cesáreo González, Mechthild Thalhammer
2015 J jnl
On a Full Discretisation for Nonlinear Second-Order Evolution Equations with Monotone Damping: Construction, Convergence, and Error Estimates.
Found. Comput. Math.
Etienne Emmrich, David Siska, Mechthild Thalhammer
2014 J jnl
Convergence analysis of high-order time-splitting pseudo-spectral methods for rotational Gross-Pitaevskii equations.
Numerische Mathematik
Harald Hofstätter, Othmar Koch, Mechthild Thalhammer
2014 J jnl
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.
Winfried Auzinger, Othmar Koch, Mechthild Thalhammer
2014 J jnl
Full Discretisations for Nonlinear Evolutionary Inequalities Based on Stiffly Accurate Runge-Kutta and hp-Finite Element Methods.
Found. Comput. Math.
Joachim Gwinner, Mechthild Thalhammer
2012 J jnl
A numerical study of adaptive space and time discretisations for Gross-Pitaevskii equations.
J. Comput. Phys.
Mechthild Thalhammer, Jochen Abhau
2012 J jnl
Convergence Analysis of High-Order Time-Splitting Pseudospectral Methods for Nonlinear Schrödinger Equations.
SIAM J. Numer. Anal.
Mechthild Thalhammer
2012 J jnl
Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part I: The linear case.
J. Comput. Appl. Math.
Winfried Auzinger, Othmar Koch, Mechthild Thalhammer
2010 J jnl
Convergence of a Time Discretisation for Doubly Nonlinear Evolution Equations of Second Order.
Found. Comput. Math.
Etienne Emmrich, Mechthild Thalhammer
2010 J jnl
Stiffly accurate Runge-Kutta methods for nonlinear evolution problems governed by a monotone operator.
Math. Comput.
Etienne Emmrich, Mechthild Thalhammer
2009 J jnl
A minimisation approach for computing the ground state of Gross-Pitaevskii systems.
J. Comput. Phys.
Marco Caliari, Alexander Ostermann, Stefan Rainer, Mechthild Thalhammer
2009 J jnl
High-order time-splitting Hermite and Fourier spectral methods.
J. Comput. Phys.
Mechthild Thalhammer, Marco Caliari, Christof Neuhauser
2008 J jnl
High-Order Exponential Operator Splitting Methods for Time-Dependent Schrödinger Equations.
SIAM J. Numer. Anal.
Mechthild Thalhammer
2007 J jnl
A second-order Magnus-type integrator for quasi-linear parabolic problems.
Math. Comput.
Cesáreo González, Mechthild Thalhammer
2006 J jnl
A fourth-order commutator-free exponential integrator for nonautonomous differential equations.
SIAM J. Numer. Anal.
Mechthild Thalhammer
2002 J jnl
Backward Euler discretization of fully nonlinear parabolic problems.
Math. Comput.
Cesáreo González, Alexander Ostermann, Cesar Palencia, Mechthild Thalhammer