Backward Euler discretization of fully nonlinear parabolic problems. - Cesáreo González; Alexander Ostermann; Cesar Palencia; Mechthild Thalhammer (Math. Comput., 2002)

A fourth-order commutator-free exponential integrator for nonautonomous differential equations. - Mechthild Thalhammer (SIAM J. Numer. Anal., 2006)

A second-order Magnus-type integrator for quasi-linear parabolic problems. - Cesáreo González; Mechthild Thalhammer (Math. Comput., 2007)

High-Order Exponential Operator Splitting Methods for Time-Dependent Schrödinger Equations. - Mechthild Thalhammer (SIAM J. Numer. Anal., 2008)

A minimisation approach for computing the ground state of Gross-Pitaevskii systems. - Marco Caliari; Alexander Ostermann; Stefan Rainer; Mechthild Thalhammer (J. Comput. Phys., 2009)

High-order time-splitting Hermite and Fourier spectral methods. - Mechthild Thalhammer; Marco Caliari; Christof Neuhauser (J. Comput. Phys., 2009)

Convergence of a Time Discretisation for Doubly Nonlinear Evolution Equations of Second Order. - Etienne Emmrich; Mechthild Thalhammer (Found. Comput. Math., 2010)

Stiffly accurate Runge-Kutta methods for nonlinear evolution problems governed by a monotone operator. - Etienne Emmrich; Mechthild Thalhammer (Math. Comput., 2010)

Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part I: The linear case. - Winfried Auzinger; Othmar Koch; Mechthild Thalhammer (J. Comput. Appl. Math., 2012)

A numerical study of adaptive space and time discretisations for Gross-Pitaevskii equations. - Mechthild Thalhammer; Jochen Abhau (J. Comput. Phys., 2012)

Convergence Analysis of High-Order Time-Splitting Pseudospectral Methods for Nonlinear Schrödinger Equations. - Mechthild Thalhammer (SIAM J. Numer. Anal., 2012)

Full Discretisations for Nonlinear Evolutionary Inequalities Based on Stiffly Accurate Runge-Kutta and hp-Finite Element Methods. - Joachim Gwinner; Mechthild Thalhammer (Found. Comput. Math., 2014)

Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part II. Higher-order methods for linear problems. - Winfried Auzinger; Othmar Koch; Mechthild Thalhammer (J. Comput. Appl. Math., 2014)

Convergence analysis of high-order time-splitting pseudo-spectral methods for rotational Gross-Pitaevskii equations. - Harald Hofstätter; Othmar Koch; Mechthild Thalhammer (Numerische Mathematik, 2014)

On a Full Discretisation for Nonlinear Second-Order Evolution Equations with Monotone Damping: Construction, Convergence, and Error Estimates. - Etienne Emmrich; David Siska; Mechthild Thalhammer (Found. Comput. Math., 2015)

Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part III: The nonlinear case. - Winfried Auzinger; Harald Hofstätter; Othmar Koch; Mechthild Thalhammer (J. Comput. Appl. Math., 2015)

Defect-based local error estimators for high-order splitting methods involving three linear operators. - Winfried Auzinger; Othmar Koch; Mechthild Thalhammer (Numer. Algorithms, 2015)

Higher-Order Exponential Integrators for Quasi-Linear Parabolic Problems. Part I: Stability. - Cesáreo González; Mechthild Thalhammer (SIAM J. Numer. Anal., 2015)

Improved error estimates for splitting methods applied to highly-oscillatory nonlinear Schrödinger equations. - Philippe Chartier; Florian Méhats; Mechthild Thalhammer; Yong Zhang (Math. Comput., 2016)

Adaptive splitting methods for nonlinear Schrödinger equations in the semiclassical regime. - Winfried Auzinger; Thomas Kassebacher; Othmar Koch; Mechthild Thalhammer (Numer. Algorithms, 2016)

Higher-Order Exponential Integrators for Quasi-Linear Parabolic Problems. Part II: Convergence. - Cesáreo González; Mechthild Thalhammer (SIAM J. Numer. Anal., 2016)

High-order commutator-free quasi-Magnus exponential integrators for non-autonomous linear evolution equations. - Sergio Blanes; Fernando Casas; Mechthild Thalhammer (Comput. Phys. Commun., 2017)

Efficient time integration methods for Gross-Pitaevskii equations with rotation term. - Philipp Bader; Sergio Blanes; Fernando Casas; Mechthild Thalhammer (CoRR, 2019)

Theoretical study and numerical simulation of pattern formation in the deterministic and stochastic Gray-Scott equations. - Erika Hausenblas; Tsiry Avisoa Randrianasolo; Mechthild Thalhammer (J. Comput. Appl. Math., 2020)

On the reliable and efficient numerical integration of the Kuramoto model and related dynamical systems on graphs. - Tobias Böhle; Christian Kuehn 001; Mechthild Thalhammer (Int. J. Comput. Math., 2022)

Community integration algorithms (CIAs) for dynamical systems on networks. - Tobias Böhle; Mechthild Thalhammer; Christian Kuehn 001 (J. Comput. Phys., 2022)

Generalization of splitting methods based on modified potentials to nonlinear evolution equations of parabolic and Schrödinger type. - Sergio Blanes; Fernando Casas; Cesáreo González; Mechthild Thalhammer (CoRR, 2023)

Symmetric-conjugate splitting methods for evolution equations of parabolic type. - Sergio Blanes; Fernando Casas; Cesáreo González; Mechthild Thalhammer (CoRR, 2024)

Novel approaches for the reliable and efficient numerical evaluation of the Landau operator. - José Antonio Carrillo 001; Mechthild Thalhammer (CoRR, 2024)

Splitting methods with complex coefficients for linear and nonlinear evolution equations. - Sergio Blanes; Fernando Casas; Cesáreo González; Mechthild Thalhammer (CoRR, 2024)

Generalisation of splitting methods based on modified potentials to nonlinear evolution equations of parabolic and Schrödinger type. - Sergio Blanes; Fernando Casas; Cesáreo González; Mechthild Thalhammer (Comput. Phys. Commun., 2024)