The joy and pain of skew symmetry

DOI10.1007/s10208-016-9321-0zbMath1357.65151OpenAlexW2345636425MaRDI QIDQ506616

Arieh Iserles

Publication date: 1 February 2017

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

Full work available at URL: https://doi.org/10.1007/s10208-016-9321-0

zbMATH Keywords

nonlinear Schrödinger equationfinite differencesplitting methodsskew-symmetric matricesZassenhaus splittingdifferentiation matricessemiclassical equationsstable semidiscretization

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (3)

Numerical stabilities study of a decomposed compact method for highly oscillatory Helmholtz equations ⋮ Orthogonal systems with a skew-symmetric differentiation matrix ⋮ A family of orthogonal rational functions and other orthogonal systems with a skew-Hermitian differentiation matrix

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical stability in the presence of variable coefficients
• Effective approximation for the semiclassical Schrödinger equation
• The automatic solution of partial differential equations using a global spectral method
• Corrections to Wigner type phase space methods
• Mathematical and computational methods for semiclassical Schrödinger equations
• Spectral Methods for Time-Dependent Problems
• Splitting methods
• Time Integration in the Multiconfiguration Time-Dependent Hartree Method of Molecular Quantum Dynamics
• A First Course in the Numerical Analysis of Differential Equations
• An efficient algorithm for computing the Baker–Campbell–Hausdorff series and some of its applications
• On Krylov Subspace Approximations to the Matrix Exponential Operator
• The Baker–Campbell–Hausdorff formula and nested commutator identities
• On skew-symmetric differentiation matrices
• Geometric Numerical Integration

This page was built for publication: The joy and pain of skew symmetry