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2010, ISBN: 9780470617960
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Hard cover, Neubuch, [ED: 1], Unable to find a suitable coursebook for an introductory PDE course, the author wrote one that combines the needed foundation and theory with tangible applic… Mehr…
Richard Bernatz:
Fourier Series and Numerical Methods for Partial Differential Equations - gebunden oder broschiertISBN: 9780470617960
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2010
ISBN: 9780470617960
Gebundene Ausgabe
[ED: Hardcover], [PU: Wiley], BINDUNG BEIM TITELBALTT LEICHT EINGEBRAOCHEN, SONST SEHR GUT, WIE UNGELESEN, CH, [SC: 5.20], Befriedigend, gewerbliches Angebot, 1. Auflage, Banküberweisung,… Mehr…
2010, ISBN: 0470617969
[EAN: 9780470617960], Gebraucht, wie neu, [PU: John Wiley & Sons], Pages are clean and are not marred by notes or folds of any kind. ~ ThriftBooks: Read More, Spend Less 1.3, Books
2010, ISBN: 0470617969
[EAN: 9780470617960], Neubuch, [PU: Wiley], Books
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Detailangaben zum Buch - Fourier Series and Numerical Methods for Partial Differential Equations
EAN (ISBN-13): 9780470617960
ISBN (ISBN-10): 0470617969
Gebundene Ausgabe
Erscheinungsjahr: 2010
Herausgeber: Wiley
318 Seiten
Gewicht: 0,590 kg
Sprache: eng/Englisch
Buch in der Datenbank seit 2011-03-18T07:29:13+01:00 (Berlin)
Detailseite zuletzt geändert am 2024-01-11T18:45:56+01:00 (Berlin)
ISBN/EAN: 9780470617960
ISBN - alternative Schreibweisen:
0-470-61796-9, 978-0-470-61796-0
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: bernatz, john, richard fields
Titel des Buches: numerical methods for partial differential equations, fourier series
Daten vom Verlag:
Autor/in: Richard Bernatz
Titel: Fourier Series and Numerical Methods for Partial Differential Equations
Verlag: John Wiley & Sons
318 Seiten
Erscheinungsjahr: 2010-08-20
Gewicht: 0,606 kg
Sprache: Englisch
102,00 € (DE)
No longer receiving updates
165mm x 238mm x 16mm
BB; GB; Hardcover, Softcover / Mathematik/Analysis; Differentialrechnung und -gleichungen; Partielle Differentialgleichung; Mathematik; Differential Equations; Fourierreihe; Elektrotechnik u. Elektronik; Electrical & Electronics Engineering; Mathematics; Numerical Methods & Algorithms; Numerische Methoden u. Algorithmen; Differentialgleichungen
Preface. Acknowledgments. 1 Introduction. 1.1 Terminology and Notation. 1.2 Classification. 1.3 Canonical Forms. 1.4 Common PDEs. 1.5 Cauchy-Kowalevski Theorem. 1.6 Initial Boundary Value Problems. 1.7 Solution Techniques. 1.8 Separation of Variables. Exercises. 2 Fourier Series. 2.1 Vector Spaces. 2.2 The Integral as an Inner Product. 2.3 Principle of Superposition. 2.4 General Fourier Series. 2.5 Fourier Sine Series on (0, c). 2.6 Fourier Cosine Series on (0, c). 2.7 Fourier Series on (-c; c). 2.8 Best Approximation. 2.9 Bessel's Inequality. 2.10 Piecewise Smooth Functions. 2.11 Fourier Series Convergence. 2.12 2c-Periodic Functions. 2.13 Concluding Remarks. Exercises. 3 Sturm-Liouville Problems. 3.1 Basic Examples. 3.2 Regular Sturm-Liouville Problems. 3.3 Properties. 3.4 Examples. 3.5 Bessel's Equation. 3.6 Legendre's Equation. Exercises. 4 Heat Equation. 4.1 Heat Equation in 1D. 4.2 Boundary Conditions. 4.3 Heat Equation in 2D. 4.4 Heat Equation in 3D. 4.5 Polar-Cylindrical Coordinates. 4.6 Spherical Coordinates. Exercises. 5 Heat Transfer in 1D. 5.1 Homogeneous IBVP. 5.2 Semihomogeneous PDE. 5.3 Nonhomogeneous Boundary Conditions. 5.4 Spherical Coordinate Example. Exercises. 6 Heat Transfer in 2D and 3D. 6.1 Homogeneous 2D IBVP. 6.2 Semihomogeneous 2D IBVP. 6.3 Nonhomogeneous 2D IBVP. 6.4 2D BVP: Laplace and Poisson Equations. 6.5 Nonhomogeneous 2D Example. 6.6 Time-Dependent BCs. 6.7 Homogeneous 3D IBVP. Exercises. 7 Wave Equation. 7.1 Wave Equation in 1D. 7.2 Wave Equation in 2D. Exercises. 8 Numerical Methods: an Overview. 8.1 Grid Generation. 8.2 Numerical Methods. 8.3 Consistency and Convergence. 9 The Finite Difference Method. 9.1 Discretization. 9.2 Finite Difference Formulas. 9.3 1D Heat Equation. 9.4 Crank-Nicolson Method. 9.5 Error and Stability. 9.6 Convergence in Practice. 9.7 1D Wave Equation. 9.8 2D Heat Equation in Cartesian Coordinates. 9.9 Two-Dimensional Wave Equation. 9.10 2D Heat Equation in Polar Coordinates. Exercises. 10 Finite Element Method. 10.1 General Framework. 10.2 1D Elliptical Example. 10.3 2D Elliptical Example. 10.4 Error Analysis. 10.5 1D Parabolic Example. Exercises. 11 Finite Analytic Method. 11.1 1D Transport Equation. 11.2 2D Transport Equation. 11.3 Convergence and Accuracy. Exercises. Appendix A: FA 1D Case. Appendix B: FA 2D Case. References. Index.Weitere, andere Bücher, die diesem Buch sehr ähnlich sein könnten:
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