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Fourier Series and Numerical Methods for Partial Differential Equations - nieuw boekISBN: 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… Meer...
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… Meer...
ISBN: 9780470651377
*Fourier Series and Numerical Methods for Partial Differential Equations* / pdf eBook für 102.99 € / Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik Medien > Bücher nein eB… Meer...
ISBN: 9780470651377
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Bibliografische gegevens van het best passende boek
Gedetalleerde informatie over het boek. - Fourier Series and Numerical Methods for Partial Differential Equations
EAN (ISBN-13): 9780470651377
ISBN (ISBN-10): 0470651377
Verschijningsjaar: 2010
Uitgever: John Wiley & Sons
336 Bladzijden
Taal: eng/Englisch
Boek bevindt zich in het datenbestand sinds 2012-12-04T17:30:39+01:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2024-03-30T15:44:48+01:00 (Amsterdam)
ISBN/EAN: 9780470651377
ISBN - alternatieve schrijfwijzen:
0-470-65137-7, 978-0-470-65137-7
alternatieve schrijfwijzen en verwante zoekwoorden:
Auteur van het boek: bernatz, john, paul clayton
Titel van het boek: numerical methods for partial differential equations, fourier series
Gegevens van de uitgever
Auteur: Richard Bernatz
Titel: Fourier Series and Numerical Methods for Partial Differential Equations
Uitgeverij: Wiley; John Wiley & Sons
336 Bladzijden
Verschijningsjaar: 2010-08-10
Taal: Engels
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.Andere boeken die eventueel grote overeenkomsten met dit boek kunnen hebben:
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