Parallel solution of the multidimensional Helmholtz/Schrödinger equation using high order methods

DOI10.1016/S0168-9274(99)00072-0zbMath0964.65117OpenAlexW1980278814MaRDI QIDQ1973777

Åke Edlund, Ilan Bar-On, Uri Peskin

Publication date: 19 July 2001

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(99)00072-0

zbMATH Keywords

numerical exampleiterative algorithmssparse matricesfinite difference methodsparallel algorithmshigh-order methodssemiconductorsHelmholtz/Schrödinger equationsquantum electron transport

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Statistical mechanics of semiconductors (82D37) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Parallel numerical computation (65Y05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (2)

Reducing the dimensionality of grid based methods for electron-atom scattering calculations below ionization threshold ⋮ The efficient solution of electromagnetic scattering for inhomogeneous media

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