In this text, we introduce the basic concepts for the numerical modelling of partial differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also the diffusion, transport, and Navier-Stokes equations, as well as equations representing conservation laws, saddle-point problems and optimal control problems. Furthermore, we provide numerous physical examples which underline such equations. In particular, we discuss the algorithmic and computer implementation aspects and provide a number of easy-to-use programs. The text does not require any previous advanced mathematical knowledge of partial differential equations: the absolutely essential concepts are reported in a preliminary chapter. It is therefore suitable for students of bachelor and master courses in scientific disciplines, and recommendable to those researchers in the academic and extra-academic domain who want to approach this interesting branch of applied mathematics.
- ISBN10 8847010705
- ISBN13 9788847010703
- Publish Date February 2009
- Publish Status Active
- Out of Print 8 June 2021
- Publish Country IT
- Imprint Springer Verlag
- Edition 1st ed. 2009. Corr. 3rd printing 2012
- Format Hardcover
- Pages 617
- Language English