Introduction to Partial Differential Equations
This chapter provides an introduction to partial differential equations (PDEs) with the aim of introducing the reader with the mathematical concepts that are used in further chapters. The chapter first introduces the general concept of PDEs and discusses various types of PDEs. Special emphasis is given to elliptic PDEs since this type of equations form the basis for the development of geometric design techniques throughout this book.
KeywordsFinite Element Method Partial Differential Equation Heat Equation Finite Difference Method Boundary Element Method
- 5.Gladwell I (1980) Survey of numerical methods for partial differential equations. Oxford University Press, London Google Scholar
- 7.Farlow SJ (1999) Partial differential equations for scientists and engineers. Dover, New York Google Scholar
- 8.Jang CL (2011) Partial differential equations: theory, analysis and applications. Nova Publ., New York Google Scholar
- 13.Zachmanoglou EC, Thoe DW (1988) Introduction to partial differential equations with applications. Dover, New York Google Scholar