New analytic approximations based on the Magnus expansion
From MaRDI portal
Publication:645178
DOI10.1007/s10910-011-9855-yzbMath1231.81033OpenAlexW2127361550MaRDI QIDQ645178
Publication date: 8 November 2011
Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10234/39340
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Perturbation theories for operators and differential equations in quantum theory (81Q15) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items (3)
Time-inhomogeneous polynomial processes ⋮ A Lanczos-like method for non-autonomous linear ordinary differential equations ⋮ Tridiagonalization of systems of coupled linear differential equations with variable coefficients by a Lanczos-like method
Cites Work
- Unnamed Item
- Unnamed Item
- On some discretization methods for solving a linear matrix ordinary differential equation
- High order optimized geometric integrators for linear differential equations
- Convergence of the Magnus series
- Improved high order integrators based on the Magnus expansion
- Solutions to linear matrix ordinary differential equations via minimal, regular, and excessive space extension based universalization. Convergence and error estimates for truncation approximants in the homogeneous case with premultiplying polynomial coefficient matrix
- Complex Singularities and the Lorenz Attractor
- On the solution of linear differential equations in Lie groups
- Magnus and Fer expansions for matrix differential equations: the convergence problem
- The Baker-Campbell-Hausdorff formula and the convergence of the Magnus expansion
- Sufficient conditions for the convergence of the Magnus expansion
- Geometric Numerical Integration
- On the exponential solution of differential equations for a linear operator
This page was built for publication: New analytic approximations based on the Magnus expansion