Elliptic Problem Solvers
eBook - PDF

Elliptic Problem Solvers

  1. 458 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Elliptic Problem Solvers

About this book

Elliptic Problem Solvers provides information pertinent to some aspects of the numerical solution of elliptic partial differential equations. This book presents the advances in developing elliptic problem solvers and analyzes their performance. Organized into 40 chapters, this book begins with an overview of the approximate solution of using a standard Galerkin method employing piecewise linear triangular finite elements. This text then defines the types of vector architecture and discusses the variation in performance that can occur on a vector processor as a function of algorithm and implementation. Other chapters consider the implementation of techniques for elliptical problems. This book discusses as well the six techniques for the solution of nonsymmetric linear systems arising from finite difference discretization of the convection-diffusion equation. The final chapter deals with the basic semiconductor device equations. This book is a valuable resource for electrical and computer engineers, scientists, computer programmers, pure mathematicians, and research workers.

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Yes, you can access Elliptic Problem Solvers by Martin H. Schultz in PDF and/or ePUB format, as well as other popular books in Mathematics & Calculus. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
Print ISBN
9780126326208
eBook ISBN
9781483259123
Topic
Mathematics
Subtopic
Calculus
Index
Mathematics

Table of contents

  1. Front Cover
  2. Elliptic Problem Solvers
  3. Copyright Page
  4. Table of Contents
  5. Contributors
  6. Preface
  7. CHAPTER 1. A MULTI-LEVEL ITERATIVE METHOD FOR NONLINEAR ELLIPTIC EQUATIONS
  8. CHAPTER 2. SOLVING ELLIPTIC PROBLEMS: 1930-1980
  9. CHAPTER 3. MULTIGRID SOLVERS ON PARALLEL COMPUTERS
  10. CHAPTER 4. IMPLEMENTING TECHNIQUES FOR ELLIPTIC PROBLEMS ON VECTOR PROCESSORS
  11. CHAPTER 5. ON SOME TRENDS IN ELLIPTIC PROBLEM SOLVERS
  12. CHAPTER 6. CO-ENERGY METHODS FOR ELLIPTIC FLOW AND RELATED PROBLEMS
  13. CHAPTER 7. ELLPACK: PROGRESS AND PLANS
  14. CHAPTER 8. THE ITPACK PACKAGE FOR LARGE SPARSE LINEAR SYSTEMS
  15. CHAPTER 9. EFFICIENT FORTRAN SUBPROGRAMS FOR THE SOLUTION OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS
  16. CHAPTER 10. ITERATIVE METHODS FOR FINITE ELEMENT EQUATIONS
  17. CHAPTER 11. PREDICTOR-CORRECTOR METHODS FOR THE SOLUTION OF TIME-DEPENDENT PARABOLIC PROBLEMS ON PARALLEL PROCESSORS
  18. CHAPTER 12. EFFICIENT SOLUTION OF THE BIHARMONIC EQUATION
  19. CHAPTER 13. ATTAINABLE ACCURACY OF COMPACT DISCRETIZATIONS OF THE POISSON EQUATION
  20. CHAPTER 14. THE CONCEPT OF RIGIDITY AND ITS IMPLEMENTATION
  21. CHAPTER 15. THEOREMS OF STEIN-ROSENBERG TYPE II. OPTIMAL PATHS OF RELAXATION IN THE COMPLEX PLANE
  22. CHAPTER 16. SPARSE VECTORIZED DIRECT SOLUTION OF ELLIPTIC PROBLEMS
  23. CHAPTER 17. MULTI-GRID AND ICCG FOR PROBLEMS WITH INTERFACES
  24. CHAPTER 18. AN AD HOC SIR METHOD
  25. CHAPTER 19. ON PRECONDITIONED ITERATIVE METHODS FOR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS
  26. CHAPTER 20. BLOCK RELAXATION STRATEGIES
  27. CHAPTER 21. ON THE NUMERICAL SOLUTION OF NONLINEAR ELLIPTIC PDEs ARISING FROM SEMICONDUCTOR DEVICE MODELING
  28. CHAPTER 22. NON-STANDARD MULTIGRID TECHNIQUES USING CHECKERED RELAXATION AND INTERMEDIATE GRIDS
  29. CHAPTER 23. SOME EXPERIMENTS IN SOLVING STIFF OSCILLATORY ORDINARY DIFFERENTIAL EQUATIONS
  30. CHAPTER 24. A NUMERICAL METHOD FOR SOLVING ELLIPTIC BOUNDARY VALUE PROBLEMS IN UNBOUNDED DOMAINS
  31. CHAPTER 25. APPLICATIONS OF TRANSFINITE ("BLENDING-FUNCTION") INTERPOLATION TO THE APPROXIMATE SOLUTION OF ELLIPTIC PROBLEMS
  32. CHAPTER 26. APPLICATION OF A PARALLEL PROCESSOR TO THE SOLUTION OF FINITE DIFFERENCE PROBLEMS
  33. CHAPTER 27. VECTOR ALGORITHMS FOR ELLIPTSC PARTIAL DIFFERENTIAL EQUATIONS BASED ON THE JACOBI METHOD
  34. CHAPTER 28. ADAPTING ITERATIVE ALGORITHMS DEVELOPED FOR SYMMETRIC SYSTEMS TO NONSYMMETRIC SYSTEMS
  35. CHAPTER 29. COMPARISON OF METHODS OF SOLUTION OF THE FINITE ELEMENT EQUATIONS FOR THE LARGE DISPLACEMENT ANALYSIS OF ARCHES
  36. CHAPTER 30. MESH GENERATION BY CONFORMAL AND QUASICONFORMAL MAPPINGS
  37. CHAPTER 31. BLOCK ITERATIVE METHODS
  38. CHAPTER 32. A MESH - PARAMETER - CONTINUATION METHOD
  39. CHAPTER 33. CAPACITANCE MATRIX METHODS - A BRIEF SURVEY
  40. CHAPTER 34. GEM SOLUTIONS OF ELLIPTIC AND MIXED PROBLEMS WITH NON-SEPARABLE 5- AND 9-POINT OPERATORS
  41. CHAPTER 35. A PARALLEL BLOCK STIEFEL METHOD FOR SOLVING POSITIVE DEFINITE SYSTEMS
  42. CHAPTER 36. Numerical Solution of Coupled Systems of Partial Differential Equations in One Spatial Variable and Time
  43. CHAPTER 37. ON THE CHOICE OF DISCRETlZATION FOR SOLVING P.D.E. 'S ON A MULTI-PROCESSOR
  44. CHAPTER 38. A SOFTWARE PACKAGE FOR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS
  45. CHAPTER 39. AN EMPIRICAL INVESTIGATION OF METHODS FOR NONSYMMETRIC LINEAR SYSTEMS
  46. CHAPTER 40. SEMICONDUCTOR DEVICE SIMULATION
  47. Index