Numerical Solution of Partial Differential Equations—III, SYNSPADE 1975
eBook - PDF

Numerical Solution of Partial Differential Equations—III, SYNSPADE 1975

Proceedings of the Third Symposium on the Numerical Solution of Partial Differential Equations, SYNSPADE 1975, Held at the University of Maryland, College Park, Maryland, May 19-24, 1975

  1. 510 pages
  2. English
  3. PDF
  4. Only available on web
eBook - PDF

Numerical Solution of Partial Differential Equations—III, SYNSPADE 1975

Proceedings of the Third Symposium on the Numerical Solution of Partial Differential Equations, SYNSPADE 1975, Held at the University of Maryland, College Park, Maryland, May 19-24, 1975

Book details
Table of contents
Citations

About This Book

Numerical Solution of Partial Differential Equations—III: Synspade 1975 provides information pertinent to those difficult problems in partial differential equations exhibiting some type of singular behavior. This book covers a variety of topics, including the mathematical models and their relation to experiment as well as the behavior of solutions of the partial differential equations involved. Organized into 16 chapters, this book begins with an overview of elastodynamic results for stress intensity factors of a bifurcating crack. This text then discusses the effects of nonlinearities, such as bifurcation, which occur in problems of nonlinear mechanics. Other chapters consider the equations of changing type and those with rapidly oscillating coefficients. This book discusses as well the effective computational methods for numerical solutions. The final chapter deals with the principal results on G-convergence, such as the convergence of the Green's operators for Dirichlet's and other boundary problems. This book is a valuable resource for engineers and mathematicians.

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Information

Publisher
Academic Press
Year
2014
ISBN
9781483262369
Topic
Mathematics
Subtopic
Calculus
Index
Mathematics

Table of contents

  1. Front Cover
  2. Numerical Solution of Partial Differential Equations–III: Synspade 1975
  3. Copyright Page
  4. Table of Contents
  5. CONTRIBUTORS
  6. PREFACE
  7. CHAPTER 1. ELASTOSTATIC AND ELASTODYNAMIC STRESS SINGULARITIES
  8. CHAPTER 2. FUNDAMENTAL MATHEMATICAL PROBLEM IN THE THEORY OF NONLINEAR ELASTICITY
  9. CHAPTER 3. NUMERICAL SOLUTION OF LINEAR PARTIAL DIFFERENTIAL EQUATIONS OF ELLIPTIC-HYPERBOLIC TYPE
  10. CHAPTER 4. HOMOGENIZATION AND ITS APPLICATION MATHEMATICAL AND COMPUTATIONAL PROBLEMS
  11. CHAPTER 5. AN ASSESSMENT OF CURRENT FINITE ELEMENT ANALYSIS OF NONLINEAR PROBLEMS IN SOLID MECHANICS
  12. CHAPTER 6. CRUDE NUMERICAL APPROXIMATION OF TURBULENT FLOW
  13. CHAPTER 7. HETEROGENEITY EFFECTS IN NEUTRON TRANSPORT COMPUTATIONS
  14. CHAPTER 8. BEHAVIOR OF THE SOLUTIONS OF AN ELLIPTIC BOUNDARY VALUE PROBLEM IN A POLYGONAL OR POLYHEDRAL DOMAIN
  15. CHAPTER 9. NUMERICAL SOLUTION OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS OF MIXED TYPE
  16. CHAPTER 10. NUMERICAL ANALYSIS OF THE NEUTRON TRANSPORT EQUATION
  17. CHAPTER 11. INSTABILITY PHENOMENA IN FLUID MECHANICS
  18. CHAPTER 12. INTRODUCTION TO SOME ASPECTS OF FREE SURFACE PROBLEMS
  19. CHAPTER 13. REGULARITY OF THE STOKES PROBLEM IN A POLYGONAL DOMAIN
  20. CHAPTER 14. HYPERBOLIC EQUATIONS IN REGIONS WITH CHARACTERISTIC BOUNDARIES OR WITH CORNERS
  21. CHAPTER 15. NUMERICAL BIFURCATION AND SECONDARY BIFURCATION: A CASE HISTORY
  22. CHAPTER 16. CONVERGENCE IN ENERGY FOR ELLIPTIC OPERATORS