A compendium of partial differential equation models : (Record no. 519079)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03384nam a22003498i 4500 |
| 001 - CONTROL NUMBER | |
| control field | CR9780511576270 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | UkCbUP |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200124160247.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION | |
| fixed length control field | m|||||o||d|||||||| |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr|||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 090522s2009||||enk o ||1 0|eng|d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780511576270 (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9780521519861 (hardback) |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | UkCbUP |
| Language of cataloging | eng |
| Description conventions | rda |
| Transcribing agency | UkCbUP |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA377 |
| Item number | .S3538 2009 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515/.353 |
| Edition number | 22 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Schiesser, W. E., |
| Relator term | author. |
| 245 12 - TITLE STATEMENT | |
| Title | A compendium of partial differential equation models : |
| Remainder of title | method of lines analysis with Matlab / |
| Statement of responsibility, etc | William E. Schiesser, Graham W. Griffiths. |
| 264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R) | |
| Place of production, publication, distribution, manufacture (R) | Cambridge : |
| Name of producer, publisher, distributor, manufacturer (R) | Cambridge University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2009. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xiii, 474 pages) : |
| Other physical details | digital, PDF file(s). |
| 336 ## - Content Type (R) | |
| Content type term (R) | text |
| Content type code (R) | txt |
| Source (NR) | rdacontent |
| 337 ## - Media Type (R) | |
| Media type term (R) | computer |
| Media type code (R) | c |
| Source (NR) | rdamedia |
| 338 ## - Carrier Type (R) | |
| Carrier type term (R) | online resource |
| Carrier type code (R) | cr |
| Source (NR) | rdacarrier |
| 500 ## - GENERAL NOTE | |
| General note | Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | An introduction to the method of lines -- A one-dimensional, linear partial differential equation -- Green's function analysis -- Two nonlinear, variable-coeffcient, inhomogeneous partial differential equations -- Euler, Navier Stokes, and Burgers equation -- The cubic Schrödinger equation -- The Korteweg-deVries equation -- The linear wave equation -- Maxwell's equations -- Elliptic partial differential equations: Laplace's equation -- Three-dimensional partial differential equation -- Partial differential equation with a mixed partial derivative -- Simultaneous, nonlinear, two-dimensional partial differential equations in cylindrical coordinates -- Diffusion equation in spherical coordinates -- Appendixes: 1. Partial differential equations from conservation principles: the Anisotropic diffusion equation -- 2. Order conditions for finite-difference approximations -- 3. Analytical solution of nonlinear, traveling wave partial differential equations -- 4. Implementation of time-varying boundary conditions -- 5. The differentiation in space subroutines library -- 6. Animating simulation results. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Mathematical modelling of physical and chemical systems is used extensively throughout science, engineering, and applied mathematics. To use mathematical models, one needs solutions to the model equations; this generally requires numerical methods. This book presents numerical methods and associated computer code in Matlab for the solution of a spectrum of models expressed as partial differential equations (PDEs). The authors focus on the method of lines (MOL), a well-established procedure for all major classes of PDEs, where the boundary value partial derivatives are approximated algebraically by finite differences. This reduces the PDEs to ordinary differential equations (ODEs) and makes the computer code easy to understand, implement, and modify. Also, the ODEs (via MOL) can be combined with any other ODEs that are part of the model (so that MOL naturally accommodates ODE/PDE models). This book uniquely includes a detailed line-by-line discussion of computer code related to the associated PDE model. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Differential equations, Partial |
| General subdivision | Mathematical models. |
| 630 00 - SUBJECT ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | MATLAB. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Griffiths, Graham W., |
| Relator term | author. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Print version: |
| International Standard Book Number | 9780521519861 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://doi.org/10.1017/CBO9780511576270">https://doi.org/10.1017/CBO9780511576270</a> |
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