WorldCat Identities

Wendroff, Burton

Overview
Works: 21 works in 80 publications in 2 languages and 1,172 library holdings
Genres: Technical reports 
Roles: Author
Classifications: QA297, 517.6
Publication Timeline
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Most widely held works about Burton Wendroff
 
Most widely held works by Burton Wendroff
Theoretical numerical analysis by Burton Wendroff( Book )

36 editions published between 1965 and 2014 in 3 languages and held by 643 WorldCat member libraries worldwide

First principles of numerical analysis; an undergraduate text by Burton Wendroff( Book )

13 editions published in 1969 in English and Undetermined and held by 358 WorldCat member libraries worldwide

Systems of conservation laws by Peter D Lax( Book )

3 editions published between 1959 and 1960 in English and held by 6 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
An unconditionally stable, finite difference method for photon transport problems by Burton Wendroff( Book )

2 editions published in 1958 in English and held by 4 WorldCat member libraries worldwide

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

Theoretical numerical analysis by Burton Wendroff( )

1 edition published in 1966 in English and held by 4 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

Implicit radiation diffusion by Robert N Thorn( Book )

2 editions published in 1963 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 3 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 3 WorldCat member libraries worldwide

An unconditionally stable implicit difference scheme for the hydrodynamical equations by James Turner( Book )

3 editions published in 1964 in English and held by 3 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
First principles of numerical analysis : an undergraduate text by Burton Wendroff( )

1 edition published in 1969 in English and held by 3 WorldCat member libraries 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

First Principles of numerical analysis: An undergraduate text : an undergraduate text by Burton Wendroff( Book )

1 edition published in 1969 in Undetermined 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

Convergence estimates for Galerkin methods for variable coefficient initial-value problems by Vidar Thomée( Book )

2 editions published in 1973 in English and held by 1 WorldCat member library worldwide

Finite difference approximations to solutions of partial differential equations by Burton Wendroff( )

1 edition published in 1958 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( )

1 edition published in 1952 in English and held by 1 WorldCat member library worldwide

Systems of conversation laws by Peter D Lax( Book )

1 edition published in 1960 in English 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

 
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Alternative Names
Burton Wendroff American mathematician

Burton Wendroff Amerikaans wiskundige

Burton Wendroff amerikansk matematikar

Burton Wendroff amerikansk matematiker

Burton Wendroff matemático estadounidense

Burton Wendroff US-amerikanischer Mathematiker

Wendroff, B.

Wendroff, B. (Burton)

Languages