Generalized Collocation Methods
Solutions to Nonlinear Problems
Seiten
2007
|
2008 ed.
Birkhauser Boston Inc (Verlag)
978-0-8176-4525-0 (ISBN)
Birkhauser Boston Inc (Verlag)
978-0-8176-4525-0 (ISBN)
Analysis of nonlinear models and problems is crucial in the application of mathematics to real-world problems. This book approaches its subject by focusing on collocation methods for solving nonlinear evolution equations and applying them to mathematical problems.
This book examines various mathematical tools—based on generalized collocation methods—to solve nonlinear problems related to partial differential and integro-differential equations. Using a unified approach combining modeling, mathematical methods, and scientific computation, the book covers specific problems and models related to vehicular traffic flow, population dynamics, wave phenomena, heat convection and diffusion, transport phenomena, and pollution.
Generalized Collocation Methods is written for an interdisciplinary audience of graduate students, engineers, scientists, and applied mathematicians with an interest in modeling real-world systems by differential or operator equations. The work may be used as a supplementary textbook in graduate courses on modeling and nonlinear differential equations, or as a self-study handbook for researchers and practitioners wishing to expand their knowledge of practical solution techniques for nonlinear problems.
This book examines various mathematical tools—based on generalized collocation methods—to solve nonlinear problems related to partial differential and integro-differential equations. Using a unified approach combining modeling, mathematical methods, and scientific computation, the book covers specific problems and models related to vehicular traffic flow, population dynamics, wave phenomena, heat convection and diffusion, transport phenomena, and pollution.
Generalized Collocation Methods is written for an interdisciplinary audience of graduate students, engineers, scientists, and applied mathematicians with an interest in modeling real-world systems by differential or operator equations. The work may be used as a supplementary textbook in graduate courses on modeling and nonlinear differential equations, or as a self-study handbook for researchers and practitioners wishing to expand their knowledge of practical solution techniques for nonlinear problems.
Mathematical Models and Problems in Applied Sciences.- Lagrange and Sinc Collocation Interpolation Methods.- Nonlinear Initial Value Problems in Unbounded Domains.- Nonlinear Initial-Boundary Value Problems in One Space Dimension.- Initial-Boundary Value Problems in Two Space Dimensions.- Additional Mathematical Tools for Nonlinear Problems.
| Reihe/Serie | Modeling and Simulation in Science, Engineering and Technology |
|---|---|
| Zusatzinfo | 62 Illustrations, black and white |
| Verlagsort | Secaucus |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| ISBN-10 | 0-8176-4525-X / 081764525X |
| ISBN-13 | 978-0-8176-4525-0 / 9780817645250 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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