Numerical Methods for Partial Differential Equations
eBook - PDF

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

  1. 342 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

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

About this book

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.

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Yes, you can access Numerical Methods for Partial Differential Equations by Seymour V. Parter in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics Essays. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
Print ISBN
9780125460507
eBook ISBN
9781483262550
Topic
Mathematics
Subtopic
Mathematics Essays
Index
Mathematics

Table of contents

  1. Front Cover
  2. Numerical Methods for Partial Differential Equations
  3. Copyright Page
  4. Table of Contents
  5. CONTRIBUTORS
  6. PREFACE
  7. Chapter 1. Finite Element Formulation, Modeling, and Solution of Nonlinear Dynamic Problems
  8. Chapter 2. Discrete Methods for Parabolic Equations with Time–Dependent Coefficients
  9. Chapter 3. Multigrid Solutions to Elliptic Flow Problems
  10. Chapter 4. Computational Fluid Dynamics
  11. Chapter 5. The Numerical Solution of a Degenerate Variational Inequality
  12. Chapter 6. Simplified Solution Algorithms for Fluid Flow Problems
  13. Chapter 7. Numerical Methods for Hyperbolic Partial Differential Equations
  14. Chapter 8. Constructing Stable Difference Methods for Hyperbolic Equations
  15. Chapter 9. Spectral Methods for Problems in Complex Geometrics
  16. Chapter 10. Numerical Problems in Plasma Physics
  17. INDEX