Solving elliptic problems using ELLPACK
Solving elliptic problems using ELLPACK
Collocation software for second-order elliptic partial differential equations
ACM Transactions on Mathematical Software (TOMS)
A fourth-order-accurate Fourier method for the Helmholtz equation in three dimensions
ACM Transactions on Mathematical Software (TOMS)
The PORT Mathematical Subroutine Library
ACM Transactions on Mathematical Software (TOMS)
Algorithm 527: A Fortran Implementation of the Generalized Marching Algorithm [D3]
ACM Transactions on Mathematical Software (TOMS)
Banded Eigenvalue Solvers on Vector Machines
ACM Transactions on Mathematical Software (TOMS)
Reduction of a band-symmetric generalized eigenvalue problem
Communications of the ACM
A highly accurate fast solver for Helmholtz equations
ICS '97 Proceedings of the 11th international conference on Supercomputing
Matrix decomposition algorithms for elliptic boundary value problems: a survey
Numerical Algorithms
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This paper persents a program SERRG2 that solves separable elliptic equations on a rectangle. The program uses a matrix decomposition technique to directly solve the linear system arising from a Rayleigh-Ritz-Galerkin approach with tensor product B-splines to solve the separable partial differential equation. This approach permits high-order discretizations, variable meshes, and multiple knots.