On the linear stability of splitting methods

DOI10.1007/s10208-007-9007-8zbMath1152.65087OpenAlexW2148076522MaRDI QIDQ941789

Sergio Blanes, Fernando Casas, Ander Murua

Publication date: 2 September 2008

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10234/19054

zbMATH Keywords

linear stabilitysplitting methodsprocessing technique

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (10)

An efficient algorithm based on splitting for the time integration of the Schrödinger equation ⋮ An enhanced semi-explicit particle finite element method for incompressible flows ⋮ Splitting schemes for hyperbolic heat conduction equation ⋮ Splitting methods in the numerical integration of non-autonomous dynamical systems ⋮ High-order full discretization for anisotropic wave equations ⋮ A New Optimality Property of Strang’s Splitting ⋮ Symmetric-conjugate splitting methods for linear unitary problems ⋮ Foreword ⋮ Near conserving energy numerical schemes for two-dimensional coupled seismic wave equations ⋮ Improving accuracy of the moving grid particle finite element method via a scheme based on Strang splitting

Cites Work

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• A comparison of different propagation schemes for the time dependent Schrödinger equation
• Optimization of explicit symplectic schemes for time-dependent Schrödinger equations
• Intervals of periodicity and absolute stability of explicit Nyström methods for y=f(x,y)
• A numerical algorithm for Hamiltonian systems
• Optimal stability polynomials for splitting methods, with application to the time-dependent Schrödinger equation
• Processing symplectic methods for near-integrable Hamiltonian systems
• Families of high-order composition methods
• Explicit Symplectic Integrators Using Hessian--Vector Products
• Simulating Hamiltonian Dynamics
• Splitting methods
• Splitting methods for non-autonomous linear systems
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• On the Numerical Integration of Ordinary Differential Equations by Symmetric Composition Methods
• Composition constants for raising the orders of unconventional schemes for ordinary differential equations
• On the Numerical Integration of Ordinary Differential Equations by Processed Methods
• Symplectic Integration with Processing: A General Study
• High-Order Symplectic Integration Methods for Finite Element Solutions to Time Dependent Maxwell Equations
• Geometric integrators for ODEs
• Composition Methods for Differential Equations with Processing
• High-order Runge-Kutta-Nyström geometric methods with processing

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