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INFO
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Title................: A Compendium of Partial Differential Equation Models
Method of Lines Analysis with Matlab
Type.................: Ebook
Reader...............: PDF Reader
Size.................: 7.02 MB
Torrent Hash.........: A205DDF8A4D4FA043D3F7F1CA9689D79DD53CC35
Posted by............: ~tqw~

Trackers:
hxxp://tracker.thepiratebay.org:80/announce

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CONTENTS
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Synopsis:
In the analysis and the quest for an understanding of a physical system,
generally, the formulation and use of a mathematical model that is thought
to describe the system is an essential step. That is, a mathematical model
is formulated (as a system of equations) that is thought to quantitatively
define the interrelationships between phenomena that define the
characteristics of the physical system. The mathematical model is usually
tested against observations of the physical system, and if the agreement is
considered acceptable, the model is then taken as a representation of the
physical system, at least until improvements in the observations lead to
refinementsand extensions of the model. Often the model serves as a guide to
new observations. Ideally, this process of refinement of the observations
and model leads to improvements of the model and thus enhanced understanding
of the physical system.

Table Of Contents:
Preface page ix
1 An Introduction to the Method of Lines 1
2 A One-Dimensional, Linear Partial Differential Equation 18
3 Green’s Function Analysis 36
4 Two Nonlinear, Variable-Coeffcient, Inhomogeneous Partial Differential
Equations 70
5 Euler, Navier Stokes, and Burgers Equations 90
6 The Cubic Schr¨odinger Equation 114
7 The Korteweg–deVries Equation 141
8 The Linear Wave Equation 171
9 Maxwell’s Equations 203
10 Elliptic Partial Differential Equations: Laplace’s Equation 229
11 Three-Dimensional Partial Differential Equation 261
12 Partial Differential Equation with a Mixed Partial Derivative 291
13 Simultaneous, Nonlinear, Two-Dimensional Partial Differential Equations in
Cylindrical Coordinates 306
14 Diffusion Equation in Spherical Coordinates 342
Appendix 1 Partial Differential Equations from Conservation Principles: The
Anisotropic Diffusion Equation 381
Appendix 2 Order Conditions for Finite-Difference Approximations 398
Appendix 3 Analytical Solution of Nonlinear, Traveling Wave Partial
Differential Equations 414
Appendix 4 Implementation of Time-Varying Boundary Conditions 420
Appendix 5 The Differentiation in Space Subroutines Library 441
Appendix 6 Animating Simulation Results 445
Index 469

Product Details:
* ISBN: 0521519861
* ISBN-13: 9780521519861
* Format: Hardcover, 490pp
* Publisher: Cambridge University Press
* Pub. Date: March 2009

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Greetz Fellow UL'ers
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mazuki `jedi Flatline newartriot aXXo KingBen Paulx1 unisonband