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Fourier Series and Numerical Methods for Partial Differential Equations - nuovo livroISBN: 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… mais…
ISBN: 9780470651377
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ISBN: 9780470651377
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ISBN: 9780470651377
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Dados bibliográficos do melhor livro correspondente
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Dados detalhados do livro - Fourier Series and Numerical Methods for Partial Differential Equations
EAN (ISBN-13): 9780470651377
ISBN (ISBN-10): 0470651377
Ano de publicação: 2010
Editor/Editora: John Wiley & Sons
336 Páginas
Língua: eng/Englisch
Livro na base de dados desde 2012-12-04T14:30:39-02:00 (Sao Paulo)
Página de detalhes modificada pela última vez em 2024-03-30T11:44:48-03:00 (Sao Paulo)
Número ISBN/EAN: 9780470651377
Número ISBN - Ortografia alternativa:
0-470-65137-7, 978-0-470-65137-7
Ortografia alternativa e termos de pesquisa relacionados:
Autor do livro: bernatz, john, paul clayton
Título do livro: numerical methods for partial differential equations, fourier series
Dados da editora
Autor: Richard Bernatz
Título: Fourier Series and Numerical Methods for Partial Differential Equations
Editora: Wiley; John Wiley & Sons
336 Páginas
Ano de publicação: 2010-08-10
Língua: Inglês
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.Outros livros adicionais, que poderiam ser muito similares com este livro:
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