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High Order Perturbation Theory for Helmholtz/Schrödinger Equations via a Separable Preconditioner
, 1997
"... INTRODUCTION The solution of inhomogeneous wave equations of the type A x 5 f , (1.1) where A is a secondorder, regular partial (multidimensional) differential operator is common in numerical simulations of physical and chemical systems [1, 2]. In 1 Corresponding author. 788 00219991/97 $2 ..."
Abstract

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INTRODUCTION The solution of inhomogeneous wave equations of the type A x 5 f , (1.1) where A is a secondorder, regular partial (multidimensional) differential operator is common in numerical simulations of physical and chemical systems [1, 2]. In 1 Corresponding author. 788 00219991/97 $25.00 Copyright 1997 by Academic Press All rights of reproduction in any form reserved. 789 HIGHER ORDER PERTURBATION THEORY some cases the inhomogeneous term is intrinsic to the equation (e.g., in the Poisson equation for the electrostatic potential). In other cases, the inhomogeneous term is introduced in order to impose specific boundary conditions (a current source [3]) on the solution of homogeneous wave equations, such as Laplace, Helmholtz, or Schro dinger equations (see, for example, Refs. [414] for applications).