Discover How Geometric Integrators Preserve the Main Qualitative Properties of Continuous
Dynamical Systems A Concise Introduction to Geometric Numerical Integration presents the …

This overview is devoted to splitting methods, a class of numerical integrators intended for
differential equations that can be subdivided into different problems easier to solve than the …

We provide a comprehensive survey of splitting and composition methods for the numerical
integration of ordinary differential equations (ODEs). Splitting methods constitute an …

Applied mathematical modeling is concerned with solving unsteady problems. Splitting
schemes are attributed to the transition from a complex problem to a chain of simpler …

The Schrödinger eigenvalue problem is solved with the imaginary time propagation
technique. The separability of the Hamiltonian makes the problem suitable for the …

In this paper, we are concerned with the construction and analysis of high order exponential
splitting methods for the time integration of abstract evolution equations which are evolved …

In this work, high order splitting methods have been used for calculating the numerical
solutions of Burgers' equation in one space dimension with periodic, Dirichlet, Neumann …

For diffusion-reaction equations employing a splitting procedure is attractive as it reduces
the computational demand and facilitates a parallel implementation. Moreover, it opens up …

The class of commutator-free quasi-Magnus (CFQM) exponential integrators provides a
favourable alternative to standard Magnus integrators, in particular for large-scale …

We are concerned with the numerical solution obtained by splitting methods of certain
parabolic partial differential equations. Splitting schemes of order higher than two with real …