B. L. Buzbee
4 Papers
97 Citations
B. L. Buzbee is an academic researcher. The author has contributed to research in topics: Partial differential equation & Uniqueness theorem for Poisson's equation. The author has an hindex of 4, co-authored 4 publications.
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Papers
The Direct Solution of the Biharmonic Equation on Rectangular Regions and the Poisson Equation on Irregular Regions
B. L. Buzbee,Fred W. Dorr +1 more
TL;DR: In this article, the authors used the direct method of matrix decomposition to formulate an effective numerical algorithm for the discrete biharmonic equation on a rectangular region and the discrete Poisson equation on an irregular region.
93
The method of odd/even reduction and factorization with application to Poisson''s equation, part II
B. L. Buzbee,Gene H. Golub,C. W. Nielson +2 more
- 01 Apr 1969
TL;DR: In this paper, several algorithms are presented for solving block tridiagonal systems of linear algebraic equations when the matrices on the diagonal are equal to each other and the matrix on the subdiagonals are all equal to another.
10
On Direct Methods for Solving Poisson’s Equations
TL;DR: Some efficient and accurate direct methods are developed for solving certain elliptic partial difference equations over a rectangle with Dirichlet, Neumann or periodic boundary conditions.
The direct solution of the discrete Poisson equation on irregular regions
TL;DR: There are several very fast direct methods which can be used to solve the discrete Poisson equation on rectangular domains as discussed by the authors, and these methods can be also used to treat problems on irregular regions.