Higher-order operator splitting methods for deterministic parabolic equations

DOI10.1080/00207160701458294zbMath1169.65332OpenAlexW2081862850MaRDI QIDQ3595056

Andrew T. Sornborger

Publication date: 10 August 2007

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160701458294

zbMATH Keywords

operator splittingparabolic equationshigh order methodsnonreversible systemsSheng-Suzuki theorem

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Complexity and performance of numerical algorithms (65Y20) Initial value problems for second-order parabolic systems (35K45)

Related Items

High-Order Operator Splitting for the Bidomain and Monodomain Models, A linearly semi-implicit compact scheme for the Burgers–Huxley equation, Exponential operator splitting time integration for spectral methods

Cites Work

• Solving Linear Partial Differential Equations by Exponential Splitting
• General theory of fractal path integrals with applications to many-body theories and statistical physics
• Unified Approach to Hamiltonian Systems, Poisson Systems, Gradient Systems, and Systems with Lyapunov Functions or First Integrals
• Nth-Order Operator Splitting Schemes and Nonreversible Systems
• On the Construction and Comparison of Difference Schemes