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ISBN: 9780470651377
The importance of partial differential equations (PDEs) in modeling phenomena in engineering as well as in the physical, natural, and social sciences is well known by students and practit… Más…
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Datos bibliográficos del mejor libro coincidente
Detalles del libro - Fourier Series and Numerical Methods for Partial Differential Equations
EAN (ISBN-13): 9780470651377
ISBN (ISBN-10): 0470651377
Año de publicación: 2010
Editorial: John Wiley & Sons
336 Páginas
Idioma: eng/Englisch
Libro en la base de datos desde 2012-12-04T10:30:39-06:00 (Mexico City)
Página de detalles modificada por última vez el 2024-03-30T08:44:48-06:00 (Mexico City)
ISBN/EAN: 0470651377
ISBN - escritura alterna:
0-470-65137-7, 978-0-470-65137-7
Mode alterno de escritura y términos de búsqueda relacionados:
Autor del libro: bernatz, john, paul clayton
Título del libro: numerical methods for partial differential equations, fourier series
Datos del la editorial
Autor: Richard Bernatz
Título: Fourier Series and Numerical Methods for Partial Differential Equations
Editorial: Wiley; John Wiley & Sons
336 Páginas
Año de publicación: 2010-08-10
Idioma: Inglés
100,99 € (DE)
Not available (reason unspecified)
EA; E107; E-Book; Nonbooks, PBS / Mathematik/Analysis; Differentialrechnung und -gleichungen; Differential Equations; Differentialgleichungen; Electrical & Electronics Engineering; Elektrotechnik u. Elektronik; Fourierreihe; Mathematics; Mathematik; Numerical Methods & Algorithms; Numerische Methoden u. Algorithmen; Partielle Differentialgleichung; Numerische Methoden u. Algorithmen; Differentialgleichungen; BB
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.Más, otros libros, que pueden ser muy parecidos a este:
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