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
- 1st Edition - January 28, 1979
- Imprint: Academic Press
- Editor: Seymour V. Parter
- Language: English
- Paperback ISBN:9 7 8 - 1 - 4 8 3 2 - 4 4 5 8 - 7
- eBook ISBN:9 7 8 - 1 - 4 8 3 2 - 6 2 5 5 - 0
Numerical Methods for Partial Differential Equations is a collection of papers dealing with techniques and practical solutions to problems concerning continuum mechanics, fluid… Read more
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Request a sales quoteNumerical 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.
Contributors
Preface
Finite Element Formulation, Modeling, and Solution of Nonlinear Dynamic Problems
Discrete Methods for Parabolic Equations with Time-Dependent Coefficients
Multigrid Solutions to Elliptic Flow Problems
Computational Fluid Dynamics
The Numerical Solution of a Degenerate Variational Inequality
Simplified Solution Algorithms for Fluid Flow Problems
Numerical Methods for Hyperbolic Partial Differential Equations
Constructing Stable Difference Methods for Hyperbolic Equations
Spectral Methods for Problems in Complex Geometries
Numerical Problems in Plasma Physics
Index
- Edition: 1
- Published: January 28, 1979
- No. of pages (eBook): 342
- Imprint: Academic Press
- Language: English
- Paperback ISBN: 9781483244587
- eBook ISBN: 9781483262550
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