Introduction to partial differential equations with MATLAB / (Record no. 23639)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04385cam a2200241 a 4500 |
| 001 - CONTROL NUMBER | |
| control field | vtls000004897 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | VRT |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250102224930.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 090216s1998 maua |b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0817639675 |
| 039 #9 - LEVEL OF BIBLIOGRAPHIC CONTROL AND CODING DETAIL [OBSOLETE] | |
| Level of rules in bibliographic description | 201402040129 |
| Level of effort used to assign nonsubject heading access points | VLOAD |
| Level of effort used to assign subject headings | 201010090906 |
| Level of effort used to assign classification | malmash |
| Level of effort used to assign subject headings | 200902161142 |
| Level of effort used to assign classification | Noora |
| Level of effort used to assign subject headings | 200902161141 |
| Level of effort used to assign classification | Noora |
| -- | 200902161139 |
| -- | Noora |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA371.35 |
| Item number | .C66 1998 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Cooper, Jeffery. |
| 9 (RLIN) | 49770 |
| 245 10 - TITLE STATEMENT | |
| Title | Introduction to partial differential equations with MATLAB / |
| Statement of responsibility, etc. | Jeffery Cooper. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Boston : |
| Name of publisher, distributor, etc. | Birkhauser, |
| Date of publication, distribution, etc. | c1998. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xv, 540 p. : |
| Other physical details | ill. ; |
| Dimensions | 25 cm. |
| 440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Applied and numerical harmonic analysis |
| 9 (RLIN) | 49771 |
| 500 ## - GENERAL NOTE | |
| General note | "Corrected second printing"--T.p. verso. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Chapter 1. Preliminaries Chapter 2. First-Order Equations: Method of characteristics for linear equations; nonlinear conservation laws; weak solutions; shock waves; numerical methods. Chapter 3. Diffusion: Diffusion on the line; maximum principle; fundamental solution of the heat equation; Burgers' equation; numerical methods. Chapter 4. Boundary Value Problems for the Heat Equation: Separation of variables; eigenfunction expansions; symmetric boundary conditions; long-time behavior. Chapter 5. Waves Again: Gas dynamics; the nonlinear string; linearized model;the linear wave equation without boundaries; boundary value problems on the half-line and finite interval; conservation of energy;numerical methods; nonlinear Klein-Gordon equation. Chapter 6. Fourier Series and Fourier Transform: Fourier series; Fourier transform and the heat equation; discrete Fourier transform; fast Fourier transform. Chapter 7. Dispersive Waves and the Schrodinger Equation: Method of stationary phase; dispersive equation (group velocity and phase velocity); Schrodinger equation; spectrum of the Schrodinger operator. Chapter 8. The Heat and Wave Equations in Higher Dimensions: Fundamental solution of heat equation; eigenfunctions for the disk and rectangle; Kirchoff's formula for the wave equation; nodal curves; conservation of energy; the Maxwell equations. Chapter 9. Equilibrium: Harmonic functions; maximum principle; Dirichlet problem in the disk and rectangle; Poisson kernel; Green's functions; variational problems and weak solutions. Chapter 10. Numerical Methods in Higher Dimensions: Finite differences; finite elements; Galerkin methods, A reaction-diffusion equation. Chapter 11. Epilogue: Classification Appendix A: Recipes and Formulas Appendix B: Elements of MATLAB Appendix C: References Appendix D: Solutions to Selected Problems Appendix E: List of Computer Programs Index |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | The subject of partial differential equations has an unchanging core of material but is constantly expanding and evolving. Introduction to Partial Differential Equations with MATLAB is a careful integration of traditional core topics with modern topics, taking full advantage of the computational power of MATLAB to enhance the learning experience. This advanced text/reference is an introduction to partial differential equations covering the traditional topics within a modern context. To provide an up-to-date treatment, techniques of numerical computation have been included with carefully selected nonlinear topics, including nonlinear first order equations. Each equation studied is placed in the appropriate physical context. The analytical aspects of solutions are discussed in an integrated fashion with extensive examples and exercises, both analytical and computational. The book is excellent for classroom use and can be used for self-study purposes. Topic and features of this title include: nonlinear equations including nonlinear conservation laws; dispersive wave equations and the Schrodinger equation; numerical methods for each core equation including finite difference methods, finite element methods, and the fast Fourier transform; and, extensive use of MATLAB programs in exercise sets. MATLAB m files for numerical and graphics programs available by ftp from this web site. This text/reference is an excellent resources designed to introduce advanced students in mathematics, engineering and sciences to partial differential equations. It is also suitable as a self-study resource for professionals and practitioners. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Differential equations, Partial |
| General subdivision | Computer-assisted instruction. |
| 9 (RLIN) | 49772 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Library of Congress Classification |
| Suppress in OPAC | No |
| Koha item type | Books |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Total checkouts | Full call number | Barcode | Date last seen | Copy number | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Library of Congress Classification | Library | Library | First Floor | 21/12/2024 | QA371.35 .C66 1998 | 11187 | 21/12/2024 | 1 | 21/12/2024 | Books |