Mechthild Thalhammer
According to our database1,
Mechthild Thalhammer
authored at least 29 papers
between 2002 and 2024.
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Bibliography
2024
Novel approaches for the reliable and efficient numerical evaluation of the Landau operator.
CoRR, 2024
CoRR, 2024
2023
Generalization of splitting methods based on modified potentials to nonlinear evolution equations of parabolic and Schrödinger type.
CoRR, 2023
2022
J. Comput. Phys., 2022
On the reliable and efficient numerical integration of the Kuramoto model and related dynamical systems on graphs.
Int. J. Comput. Math., 2022
2020
Theoretical study and numerical simulation of pattern formation in the deterministic and stochastic Gray-Scott equations.
J. Comput. Appl. Math., 2020
2019
Efficient time integration methods for Gross-Pitaevskii equations with rotation term.
CoRR, 2019
2017
High-order commutator-free quasi-Magnus exponential integrators for non-autonomous linear evolution equations.
Comput. Phys. Commun., 2017
2016
Higher-Order Exponential Integrators for Quasi-Linear Parabolic Problems. Part II: Convergence.
SIAM J. Numer. Anal., 2016
Adaptive splitting methods for nonlinear Schrödinger equations in the semiclassical regime.
Numer. Algorithms, 2016
Improved error estimates for splitting methods applied to highly-oscillatory nonlinear Schrödinger equations.
Math. Comput., 2016
2015
Higher-Order Exponential Integrators for Quasi-Linear Parabolic Problems. Part I: Stability.
SIAM J. Numer. Anal., 2015
Defect-based local error estimators for high-order splitting methods involving three linear operators.
Numer. Algorithms, 2015
Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part III: The nonlinear case.
J. Comput. Appl. Math., 2015
On a Full Discretisation for Nonlinear Second-Order Evolution Equations with Monotone Damping: Construction, Convergence, and Error Estimates.
Found. Comput. Math., 2015
2014
Convergence analysis of high-order time-splitting pseudo-spectral methods for rotational Gross-Pitaevskii equations.
Numerische Mathematik, 2014
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., 2014
Full Discretisations for Nonlinear Evolutionary Inequalities Based on Stiffly Accurate Runge-Kutta and hp-Finite Element Methods.
Found. Comput. Math., 2014
2012
Convergence Analysis of High-Order Time-Splitting Pseudospectral Methods for Nonlinear Schrödinger Equations.
SIAM J. Numer. Anal., 2012
A numerical study of adaptive space and time discretisations for Gross-Pitaevskii equations.
J. Comput. Phys., 2012
Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part I: The linear case.
J. Comput. Appl. Math., 2012
2010
Stiffly accurate Runge-Kutta methods for nonlinear evolution problems governed by a monotone operator.
Math. Comput., 2010
Convergence of a Time Discretisation for Doubly Nonlinear Evolution Equations of Second Order.
Found. Comput. Math., 2010
2009
J. Comput. Phys., 2009
J. Comput. Phys., 2009
2008
High-Order Exponential Operator Splitting Methods for Time-Dependent Schrödinger Equations.
SIAM J. Numer. Anal., 2008
2007
Math. Comput., 2007
2006
A fourth-order commutator-free exponential integrator for nonautonomous differential equations.
SIAM J. Numer. Anal., 2006
2002
Math. Comput., 2002