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Integration of equations of parabolic type by the method of nets

International Series of Monographs in Pure and Applied Mathematics, Volume 54: Integration of Equations of Parabolic Type by the Method of Nets deals with solving parabolic partial differential equations using the method of nets. The first part of this volume focuses on the construction of net equat...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Saul�ev, V. K. (Vladislav Kliment�evich)
Formato: Electrónico eBook
Idioma:Inglés
Ruso
Publicado: Oxford, New York, Pergamon Press; [distributed in the Western Hemisphere by Macmillan, New York] 1964.
Colección:International series of monographs in pure and applied mathematics ; v. 54.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Saul�ev, V. K.  |q (Vladislav Kliment�evich) 
240 1 0 |a Integrirovanie uravneni�i parabolicheskogo tipa metodom setok.  |l English 
245 1 0 |a Integration of equations of parabolic type by the method of nets  |c [by] V.K. Saul�yev. Translated by G.J. Tee. Translation edited and editorial introd. by K.L. Stewart. 
260 |a Oxford,  |a New York,  |b Pergamon Press; [distributed in the Western Hemisphere by Macmillan, New York]  |c 1964. 
300 |a 1 online resource (xvii, 346 pages)  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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490 1 |a International series of monographs in pure and applied mathematics,  |v v. 54 
504 |a Includes bibliographical references (pages 321-338). 
506 |3 Use copy  |f Restrictions unspecified  |2 star  |5 MiAaHDL 
533 |a Electronic reproduction.  |b [Place of publication not identified] :  |c HathiTrust Digital Library,  |d 2010.  |5 MiAaHDL 
538 |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.  |u http://purl.oclc.org/DLF/benchrepro0212  |5 MiAaHDL 
583 1 |a digitized  |c 2010  |h HathiTrust Digital Library  |l committed to preserve  |2 pda  |5 MiAaHDL 
588 0 |a Print version record. 
505 0 |a Front Cover; Integration of Equations of Parabolic Type by the Method of Nets; Copyright Page; Table of Contents; EDITORIAL PREFACE; FOREWORD; AUTHOR'S PREFACE; PART I: CONSTRUCTION OF NET EQUATIONS; Introduction; Chapter 1. Absolutely Unstable Net Equations; Chapter 2. Six-point Symmetric Equation; Chapter 3. Asymmetric Net Equations; Chapter 4. Alternating Method; Chapter 5. Method of Mean Arithmetic, and Multi-nodal Symmetric Method; Chapter 6. Comparison between Explicit and Implicit Equations, and the ""Implicitly-explicit"" Methods 
505 8 |a Chapter 7. Spherical and Cylindrical RegionsChapter 8. Equations of Increased Accuracy; Chapter 9. Net Equations with Fictitious Nodes; Chapter 10. On Bilateral Approximations; Chapter 11. Two-dimensional and Three-dimensional Equations; Chapter 12. Two-dimensional and Multi-dimensional Net Equations of Increased Accuracy; Chapter 13. Non-uniform Nets; Chapter 14. Multi-step Equations; Chapter 15. General Case of Variable and Discontinuous Coefficients; Chapter 16. Parabolic Equations of Higher than the Second Order; Chapter 17. Non-linear Equations; Conclusions 
505 8 |a PART II: THE SOLUTION OF NET EQUATIONSIntroduction; Chapter 1. ""One-dimensional"" Elliptic Net Equations; Chapter 2. Direct Methods; Chapter 3. Ill-conditioned Net Matrices; Chapter 4. Simplest Iterative Method; Chapter 5. Variational Methods; Chapter 6. Methods Using Chebyshev Polynomials; Chapter 7. Iterative Methods of the Second Degree; Chapter 8. Iterative Methods of the nth Degree; Chapter 9. Methods of Successive Displacements; Chapter 10. Methods of Block Iteration; APPENDIX; On the Application of Chebyshev Polynomials to Parabolic Net Equations; REFERENCES; INDEX 
520 |a International Series of Monographs in Pure and Applied Mathematics, Volume 54: Integration of Equations of Parabolic Type by the Method of Nets deals with solving parabolic partial differential equations using the method of nets. The first part of this volume focuses on the construction of net equations, with emphasis on the stability and accuracy of the approximating net equations. The method of nets or method of finite differences (used to define the corresponding numerical method in ordinary differential equations) is one of many different approximate methods of integration of partial diff. 
546 |a English. 
650 0 |a Differential equations, Partial  |x Numerical solutions. 
650 0 |a Nets (Mathematics) 
650 0 |a Convergence. 
650 6 |a �Equations aux d�eriv�ees partielles  |x Solutions num�eriques.  |0 (CaQQLa)201-0041240 
650 6 |a Convergence (Math�ematiques)  |0 (CaQQLa)201-0015663 
650 6 |a R�eseaux (Math�ematiques)  |0 (CaQQLa)201-0048432 
650 7 |a Convergence.  |2 fast  |0 (OCoLC)fst00877195 
650 7 |a Differential equations, Partial  |x Numerical solutions.  |2 fast  |0 (OCoLC)fst00893488 
650 7 |a Nets (Mathematics)  |2 fast  |0 (OCoLC)fst01036197 
776 0 8 |i Print version:  |a Saul�ev, V.K. (Vladislav Kliment�evich).  |s Integrirovanie uravneni�i parabolicheskogo tipa metodom setok. English.  |t Integration of equations of parabolic type by the method of nets.  |d Oxford, New York, Pergamon Press; [distributed in the Western Hemisphere by Macmillan, New York] 1964  |w (DLC) 62012345  |w (OCoLC)1080780 
830 0 |a International series of monographs in pure and applied mathematics ;  |v v. 54. 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/book/9780080101958  |z Texto completo