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Efficient Fortran subprograms for the solution of separable elliptic partial differential equations

Paul N. Swarztrauber, Roland A. Sweet

Open publisher page 71 citations

Abstract

The problem of computing solutions to modified Helmholtz equations (or, more generally, separable linear elliptic equations) with simple boundary conditions on a rectangle in any of several coordinate frames arises frequently in applications and as an intermediate step in the solution of nonlinear and evolution problems. The developing, documenting, and testing of a package for this task is described. 2 tables. (RWR)

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What this paper is about

The problem of computing solutions to modified Helmholtz equations (or, more generally, separable linear elliptic equations) with simple boundary conditions on a rectangle in any of several coordinate frames arises frequently in applications and as an intermediate step in the solution of nonlinear and evolution problems. The developing, documenting, and testing of a package for this task is described. 2 tables. (RWR)

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OpenAlex reports 71 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The problem of computing solutions to modified Helmholtz equations (or, more generally, separable linear elliptic equations) with simple boundary conditions on a rectangle in any of several coordinate frames arises frequently in applications and as an intermediate step in the solution of nonlinear and evolution problems. The developing, documenting, and testing of a package for this task is described. 2 tables. (RWR)

Key concepts: Separable space, Elliptic partial differential equation, Rectangle, Fortran, Simple (philosophy), Partial differential equation, Nonlinear system, Computer science

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