Cargando…
Green's functions with applications /
Since publication of the first edition over a decade ago, Green's Functions with Applications has provided applied scientists and engineers with a systematic approach to the various methods available for deriving a Green's function. This fully revised Second Edition retains the same purpos...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Boca Raton, FL :
CRC Press,
[2015]
|
| Edición: | Second edition. |
| Colección: | Advances in applied mathematics.
|
| Temas: | |
| Acceso en línea: | Texto completo (Requiere registro previo con correo institucional) |
Tabla de Contenidos:
- Acknowledgments
- Author
- Preface
- List of Definitions
- Historical Development
- Mr. Greens Essay
- Potential Equation
- Heat Equation
- Helmholtzs Equation
- Wave Equation
- Ordinary Differential Equations
- Background Material
- Fourier Transform
- Laplace Transform
- Bessel Functions
- Legendre Polynomials
- The Dirac Delta Function
- Greens Formulas
- What Is a Greens Function?
- Greens Functions for Ordinary Differential Equations
- Initial-Value Problems
- The Superposition Integral
- Regular Boundary-Value Problems
- Eigenfunction Expansion for Regular Boundary-Value Problems
- Singular Boundary-Value Problems
- Maxwells Reciprocity
- Generalized Greens Function
- Integro-Differential Equations
- Greens Functions for the Wave Equation
- One-Dimensional Wave Equation in an Unlimited Domain
- One-Dimensional Wave Equation on the Interval 0 < x < L
- Axisymmetric Vibrations of a Circular Membrane
- Two-Dimensional Wave Equation in an Unlimited Domain
- Three-Dimensional Wave Equation in an Unlimited Domain
- Asymmetric Vibrations of a Circular Membrane
- Thermal Waves
- Diffraction of a Cylindrical Pulse by a Half-Plane
- Leaky Modes
- Water Waves
- Greens Functions for the Heat Equation
- Heat Equation over Infinite or Semi-Infinite Domains
- Heat Equation within a Finite Cartesian Domain
- Heat Equation within a Cylinder
- Heat Equation within a Sphere
- Product Solution
- Absolute and Convective Instability
- Greens Functions for the Helmholtz Equation
- Free-Space Greens Functions for Helmholtzs and Poissons Equation
- Method of Images
- Two-Dimensional Poissons Equation over Rectangular and Circular Domains
- Two-Dimensional Helmholtz Equation over Rectangular and Circular Domains
- Poissons and Helmholtzs Equations on a Rectangular Strip
- Three-Dimensional Problems in a Half-Space
- Three-Dimensional Poissons Equation in a Cylindrical Domain
- Poissons Equation for a Spherical Domain
- Improving the Convergence Rate of Greens Functions
- Mixed Boundary Value Problems
- Numerical Methods
- Discrete Wavenumber Representation
- Laplace Transform Method
- Finite Difference Method
- Hybrid Method
- Galerkin Method
- Evaluation of the Superposition Integral
- Mixed Boundary Value Problems
- Appendix: Relationship between Solutions of Helmholtzs and Laplaces Equations in Cylindrical and Spherical Coordinates
- Answers to Some of the Problems
- Author Index
- Subject Index.