Numerical Methods for Partial Differential Equations: Proceedings of an Advanced Seminar Conducted by the Mathematics Research Center, the University of Wisconsin-Madison, October 23-25, 1978

Parter, Seymour V. (Editor)

ISBN 10: 148324458X / ISBN 13: 9781483244587

Published by Academic Press, 2014

About this Item

342 pages. 9.25x6.00x0.78 inches. In Stock.

Seller Inventory # zk148324458X

Bibliographic Details

• Title: Numerical Methods for Partial Differential Equations: Proceedings of an Advanced Seminar Conducted by the Mathematics Research Center, the University of Wisconsin-Madison, October 23-25, 1978
• Publisher: Academic Press
• Publication Date: 2014
• Language: English
• ISBN 10: 148324458X
• ISBN 13: 9781483244587
• Binding: Paperback
• Condition: Brand New

About this title

Synopsis

Numerical Methods for Partial Differential Equations is a collection of papers dealing with techniques and practical solutions to problems concerning continuum mechanics, fluid dynamics, and plasma physics. One paper discusses the important considerations that lead to an efficient nonlinear dynamic finite element analysis using improved analysis techniques. Another paper describes the results obtained from fully discrete methods of higher order in time (order 3 and 4) for second order parabolic initial boundary value problems in which the equations have time dependent (or nonlinear) coefficients. Another paper reviews concepts of ellipticity of finite-difference approximations to general elliptic partial differential systems, with examples utilizing Cauchy-Riemann equations or Navier-Stokes equations. One paper describes fluid-dynamic computing using basic equations, boundary conditions, time dependent gas dynamics, shock waves, stream-function-vorticity methods, and an example on the formation of a spherical vortex. Another paper evaluates a specific problem arising in the study of the equilibrium of plasma confined in a machine of the Tokomak type. The collection is suitable for mathematicians, physicists, and investigators in the field of continuum mechanics, fluid dynamics, plasma physics.