The Method of Summary Representation for Numerical Solution of Problems of Mathematical Physics
eBook - PDF

The Method of Summary Representation for Numerical Solution of Problems of Mathematical Physics

  1. 304 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

The Method of Summary Representation for Numerical Solution of Problems of Mathematical Physics

About this book

Pure and Applied Mathematics, Volume 79: The Method of Summary Representation for Numerical Solution of Problems of Mathematical Physics presents the numerical solution of two-dimensional and three-dimensional boundary-value problems of mathematical physics. This book focuses on the second-order and fourth-order linear differential equations. Organized into two chapters, this volume begins with an overview of ordinary finite-difference equations and the general solutions of certain specific finite-difference equations. This text then examines the various methods of successive approximation that are used exclusively for solving finite-difference equations. This book discusses as well the established formula of summary representation for certain finite-difference operators that are associated with partial differential equations of mathematical physics. The final chapter deals with the formula of summary representation to enable the researcher to write the solution of the corresponding systems of linear algebraic equations in a simple form. This book is a valuable resource for mathematicians and physicists.

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Yes, you can access The Method of Summary Representation for Numerical Solution of Problems of Mathematical Physics by G. N. Polozhii, I. N. Sneddon,M. Stark,K. A. H. Gravett in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Pergamon
Year
2014
Print ISBN
9780080110172
eBook ISBN
9781483185460
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Front Cover
  2. The Method of Summary Representation for Numerical Solution of Problems of Mathematical Physics
  3. Copyright Page
  4. Table of Contents
  5. Author's Preface to the English Edition
  6. Preface
  7. Introduction
  8. CHAPTER 1. General Theory of the One-dimensional Problem of Eigenvalues and Eigenfunctions of Discrete Argument. Matrices of Type Π
  9. CHAPTER 2. Numerical Solution of Two-dimensional and Three-dimensional Boundary-value Problems of Mathematical Physics
  10. § 4. Solution of Finite-difference Boundary-value Problems, connected with Boundary-value Problems for Second-order Hyperbolic Differential Equations with Constant Coefficients
  11. § 4. On the Solution of Bending and Torsion Problems for Prismatic Beams by the Method of Summary Representation
  12. § 5. On the Application of the Method of Summary Representation to Biharmonic Problems of the Bending of Plates
  13. § 6. On Certain Formulae of Summary Representation
  14. § 7. Bibliography of the Scientific Works of Professor G.N.Polozhii
  15. Index
  16. OTHER TITLES IN THE SERIES IN PURE AND APPLIED MATHEMATICS