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Fourier Series and Numerical Methods for Partial Differential Equations - nuovo libroISBN: 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… Altro …
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… Altro …
ISBN: 9780470651377
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ISBN: 9780470651377
Fourier Series and Numerical Methods for Partial Differential Equations: ab 102.99 € eBooks > Fachthemen & Wissenschaft > Mathematik John Wiley & Sons eBook als pdf, John Wiley & Sons
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Informazioni dettagliate del libro - Fourier Series and Numerical Methods for Partial Differential Equations
EAN (ISBN-13): 9780470651377
ISBN (ISBN-10): 0470651377
Anno di pubblicazione: 2010
Editore: John Wiley & Sons
336 Pagine
Lingua: eng/Englisch
Libro nella banca dati dal 2012-12-04T17:30:39+01:00 (Rome)
Pagina di dettaglio ultima modifica in 2024-03-30T15:44:48+01:00 (Rome)
ISBN/EAN: 0470651377
ISBN - Stili di scrittura alternativi:
0-470-65137-7, 978-0-470-65137-7
Stili di scrittura alternativi e concetti di ricerca simili:
Autore del libro : bernatz, john, paul clayton
Titolo del libro: numerical methods for partial differential equations, fourier series
Dati dell'editore
Autore: Richard Bernatz
Titolo: Fourier Series and Numerical Methods for Partial Differential Equations
Editore: Wiley; John Wiley & Sons
336 Pagine
Anno di pubblicazione: 2010-08-10
Lingua: Inglese
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.Altri libri che potrebbero essere simili a questo:
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