WorldCat Identities

Wendroff, Burton

Overview
Works: 18 works in 61 publications in 3 languages and 1,011 library holdings
Classifications: QA297, 517.6
Publication Timeline
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Publications about  Burton Wendroff Publications about Burton Wendroff
Publications by  Burton Wendroff Publications by Burton Wendroff
Most widely held works about Burton Wendroff
 
Most widely held works by Burton Wendroff
Theoretical numerical analysis by Burton Wendroff ( Book )
23 editions published between 1966 and 1967 in 3 languages and held by 627 WorldCat member libraries worldwide
First principles of numerical analysis; an undergraduate text by Burton Wendroff ( Book )
10 editions published in 1969 in English and Undetermined and held by 351 WorldCat member libraries worldwide
The structure of certain finite difference schemes by Burton Wendroff ( Book )
2 editions published in 1960 in English and held by 4 WorldCat member libraries worldwide
An unconditionally stable implicit difference scheme for the hydrodynamical equations by James Turner ( )
3 editions published in 1964 in English and held by 4 WorldCat member libraries worldwide
We solve two hydrodynamical problems. The first involves a shock wave, a contact discontinuity, and a rarefaction wave using an unconditionally stable finite difference scheme. The Courant condition is satisfied everywhere except in one zone behind the shock, where it is violated by factors of 10 and 100. The nonlinear difference equations are solved by Newton's method. The total number of Newton iterations to get to a certain time is apparently independent of the degree to which the normal stability condition is violated in the one zone. The second problem involves two rarefaction waves moving in opposite directions. One wave moves in a region where the Courant condition is violated by a factor of approximately two. The other wave moves in a region where the Courant condition is satisfied. Numerical results are compared with the analytical solution. An examination of several runs indicates one explicit time step is about five times as fast as one implicit time step. Therefore, use of the implicit method is indicated when the Courant condition is violated by a factor of 5 or more
Systems of conservation laws by Peter D Lax ( Book )
2 editions published in 1959 in English and held by 4 WorldCat member libraries worldwide
In this paper a wide class of difference equations is described for approximating discontinuous time dependent solutions, with prescribed initial data, of hyperbolic systems of nonlinear conservation laws. Among these schemes we determine the best ones, i.e., those which have the smallest truncation error and in which the discontinuities are confined to a narrow band of 2-3 meshpoints. These schemes are tested for stability and are found to be stable under a mild strengthening of the Courant-Friedrichs-Levy criterion. Test calculations of one dimensional flows of compressible fluids with shocks, rarefaction waves and contact discontinuities show excellent agreement with exact solutions. In particular, when Lagrange coordinates are used, there is no smearing of interfaces. The additional terms introduced into the difference scheme for the purpose of keeping the shock transition narrow are similar to, although not identical with, the artificial viscosity terms, and the like of them introduced by Richtmyer and von Neumann and elaborated by other workers in this field
Finite difference approximations to solutions of partial differential equations by Burton Wendroff ( Book )
2 editions published in 1957 in English and held by 4 WorldCat member libraries worldwide
An unconditionally stable, finite difference method for photon transport problems by Burton Wendroff ( Book )
2 editions published in 1958 in English and held by 3 WorldCat member libraries worldwide
On the computation of the transport of radiation by Burton Wendroff ( Book )
2 editions published in 1963 in English and held by 2 WorldCat member libraries worldwide
Computing the critical frequencies of stepped shafts by Burton Wendroff ( Book )
2 editions published in 1963 in English and held by 2 WorldCat member libraries worldwide
Implicit radiation diffusion by Robert N Thorn ( Book )
2 editions published in 1963 in English and held by 2 WorldCat member libraries worldwide
Finite difference approximations to solutions of partial differential equations by Burton Wendroff ( Book )
1 edition published in 1958 in English and held by 1 WorldCat member library worldwide
Convergence estimates for Galerkin methods for variable coefficient initial-value problems by Vidar Thomée ( Book )
2 editions published in 1973 in Undetermined and English and held by 1 WorldCat member library worldwide
On the formulation and analysis of numerical methods for time dependent transport equations by Herbert Bishop Keller ( Book )
2 editions published between 1956 and 1957 in English and held by 1 WorldCat member library worldwide
A treatment of the dirichlet problem of potential theory by probability methods by Burton Wendroff ( Book )
1 edition published in 1952 in English and held by 1 WorldCat member library worldwide
Riron sūchi kaiseki - keisanki ni yoru sūchi keisan no kiso ( Book )
2 editions published in 1973 in Japanese and held by 1 WorldCat member library worldwide
Evolution, games, and learning : models for adaptation in machines and nature by International Conference of the Center for Nonlinear Studies ( Book )
1 edition published in 1986 in English and held by 1 WorldCat member library worldwide
Bounds for eigenvalues of some differential operators by the rayleigh-ritz method ( Book )
1 edition published in 1943 in English and held by 1 WorldCat member library worldwide
 
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Alternative Names
Wendroff, B.
Wendroff, B. (Burton)
Languages
English (55)
Japanese (2)
Spanish (1)