The multigrid method for accelerated solution of the discretized Schrödinger equation

DOI10.1016/0021-9991(83)90162-6zbMath0582.65087OpenAlexW2001529763MaRDI QIDQ1068531

Herschel Rabitz, Fernando F. Grinstein, Attila Askar

Publication date: 1983

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(83)90162-6

zbMATH Keywords

scatteringmultigrid methoddiscretized Schrödinger equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications to the sciences (65Z05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items

Two-grid method for two-dimensional nonlinear Schrödinger equation by mixed finite element method, A multigrid conjugate residual method for the numerical solution of the Hartree-Fock equation for diatomic molecules, On the computation of the eigenproblems of hydrogen and helium in strong magnetic and electric fields with the sparse grid combination technique

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On finite element methods of the least squares type
• Padé approximants method and its applications to mechanics
• Computation of Padé approximants and continued fractions
• Mesh refinement and local inversion of elliptic partial differential equations
• Accélération de la convergence en analyse numérique
• Projection method for solving a singular system of linear equations and its applications
• Multi-Level Adaptive Solutions to Boundary-Value Problems
• On Some Theoretical and Practical Aspects of Multigrid Methods