Book contents
- Frontmatter
- Contents
- Preface
- What's good about this book?
- Suggested 12-week syllabus
- Part I Motivating examples and major applications
- Part II General theory
- Part III Fourier series on bounded domains
- Part IV BVP solutions via eigenfunction expansions
- Part V Miscellaneous solution methods
- 16 Separation of variables
- 17 Impulse-response methods
- 18 Applications of complex analysis
- Part VI Fourier transforms on unbounded domains
- Appendix A Sets and functions
- Appendix B Derivatives – notation
- Appendix C Complex numbers
- Appendix D Coordinate systems and domains
- Appendix E Vector calculus
- Appendix F Differentiation of function series
- Appendix G Differentiation of integrals
- Appendix H Taylor polynomials
- References
- Subject index
- Notation index
17 - Impulse-response methods
Published online by Cambridge University Press: 05 June 2012
Book contents
- Frontmatter
- Contents
- Preface
- What's good about this book?
- Suggested 12-week syllabus
- Part I Motivating examples and major applications
- Part II General theory
- Part III Fourier series on bounded domains
- Part IV BVP solutions via eigenfunction expansions
- Part V Miscellaneous solution methods
- 16 Separation of variables
- 17 Impulse-response methods
- 18 Applications of complex analysis
- Part VI Fourier transforms on unbounded domains
- Appendix A Sets and functions
- Appendix B Derivatives – notation
- Appendix C Complex numbers
- Appendix D Coordinate systems and domains
- Appendix E Vector calculus
- Appendix F Differentiation of function series
- Appendix G Differentiation of integrals
- Appendix H Taylor polynomials
- References
- Subject index
- Notation index
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- Linear Partial Differential Equations and Fourier Theory , pp. 381 - 420Publisher: Cambridge University PressPrint publication year: 2010