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Partial Differential Equations: Modeling, Analysis, Computation
R. M. M. Mattheij, S. W. Rienstra and J. H. M. ten Thije Boonkkamp
- Softcover
- Erstausgabe
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Soft cover. Zustand: New. 1st Edition. Contents: Preface. 1. Differential and difference equations. 2. Characterization and classification. 3. Fourier theory. 4. Distributions and fundamental solutions. 5. Approximation by finite differences. 6. The Equations of continuum mechanics and electromagnetics. 7. The art of modeling. 8…. The analysis of elliptic equations. 9. Numerical methods for elliptic equations. 10. Analysis of parabolic equations. 11. Numerical methods for parabolic equations. 12. Analysis of hyperbolic equations. 13. Numerical methods for scalar hyperbolic equations. 14. Numerical methods for hyperbolic systems. 15. Perturbation methods. 16. Modeling, analyzing, and simulating problems from practice. Appendices: Useful definitions and properties. Bibliography. Index. Partial differential equations (PDEs) are used to describe a large variety of physical phenomena, from fluid flow to electromagnetic fields, and are indispensable to such disparate fields as aircraft simulation and computer graphics. While most existing texts on PDEs deal with either analytical or numerical aspects of PDEs, this innovative and comprehensive textbook features a unique approach that integrates analysis and numerical solution methods and includes a third component modeling to address real-life problems. The authors believe that modeling can be learned only by doing; hence a separate chapter containing 16 user-friendly case studies of elliptic, parabolic, and hyperbolic equations is included and numerous exercises are included in all other chapters. The book enables readers to deepen their understanding of a topic ubiquitous in mathematics and science and to tackle practical problems. The advent of fast computers and the development of numerical methods have enabled the modern engineer to use a large variety of packages to find numerical approximations to solutions of PDEs. Problems are usually standard and a thorough knowledge of a well-chosen subset of analytical and numerical tools and methodologies is necessary when dealing with real-life problems. When one is dealing with PDEs in practice, it becomes clear that both numerical and analytical treatments of the problem are needed. This comprehensive book is intended for graduate students in applied mathematics, engineering, and physics and may be of interest to advanced undergraduate students. Mathematicians, scientists, and engineers also will find the book useful. (jacket).
- Softcover
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Paperback. Zustand: Brand New. 274 pages. 10.24x7.68x0.65 inches. In Stock.
- Softcover
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book contains contributions by sixteen editors of a single journal specialised in real-world applications of mathematics, particularly in engineering. These papers serve to indicate that applying mathematics can be a very exciting and intellectu…ally rewarding activity. Among the applied fields we note Thermal and Marangoni convection. High-pressure gas-discharge lamps, Potential flow in a channel, Thin airfoil problems, Cooling of a fibre, Moving-contact-line problems, Spot disturbance in boundary layers, Fibre-reinforced composites, Numerics of nonuniform grids, Stewartson layers on a rotating disk, Causality and the radiation condition, Nonlinear elastic membranes, Acoustics in bubbly liquids, Oscillation of a floating body in a viscous fluid, Electromagnetics of superconducting composites. Applied mathematicians, theoretical physicists and engineers will find a lot in this book that will be of interest to them.
- Softcover
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Taschenbuch. Zustand: Neu. Problems in Applied, Industrial and Engineering Mathematics | H. K. Kuiken (u. a.) | Taschenbuch | viii | Englisch | 2012 | Springer | EAN 9789401050760 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: p…reigu.
- Hardcover
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Zustand: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,950grams, ISBN:0792316800.
- Softcover
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Paperback. Zustand: Brand New. 665 pages. 9.75x7.00x1.25 inches. In Stock.
Sprache: Englisch
Verlag: Society for Industrial & Applied Mathematics,U.S., 1987
- Softcover
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Zustand: New. 2005. Paperback. . . . . . Books ship from the US and Ireland.
- Hardcover
Anbieter: AHA-BUCH GmbH, Einbeck, DeutschlandAHA-BUCH GmbH
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EUR 229,96
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book contains contributions by sixteen editors of a single journal specialised in real-world applications of mathematics, particularly in engineering. These papers serve to indicate that applying mathematics can be a very exciting and intellectually re…warding activity. Among the applied fields we note Thermal and Marangoni convection. High-pressure gas-discharge lamps, Potential flow in a channel, Thin airfoil problems, Cooling of a fibre, Moving-contact-line problems, Spot disturbance in boundary layers, Fibre-reinforced composites, Numerics of nonuniform grids, Stewartson layers on a rotating disk, Causality and the radiation condition, Nonlinear elastic membranes, Acoustics in bubbly liquids, Oscillation of a floating body in a viscous fluid, Electromagnetics of superconducting composites. Applied mathematicians, theoretical physicists and engineers will find a lot in this book that will be of interest to them.
