Applicazioni ed esercizi di modellistica numerica per problemi differenziali = Applications and exercises in numerical modeling for differential problems
- Author
- Luca Formaggia, Fausto Saleri, Alessandro Veneziani
- Publication Year
- 2005
- Publisher
- Springer
- Language
- Italian
- Document Type
- Book
- Faculty / Subject Heading
- Mathematics and Statistics
- Download Book Read book
Contains a collection of exercises related to typical topics in a course on analytical and numerical methods offered in a degree program in Engineering or Mathematics. Starting with exercises in functional analysis and approximation theory, the text develops problems related to the numerical resolution of elliptic, parabolic, and hyperbolic partial differential equations, scalar or vector, in one or more spatial dimensions. Pure diffusion and pure convection problems are therefore addressed, alongside diffusion-transport problems and problems in compressible and incompressible fluid dynamics. Particular emphasis is given to the finite element method for the spatial discretization of the problems considered, although exercises on the finite difference and finite volume methods are also included.
Keywords: Mathematics and statistics / Finite / MATLAB / Analisi numerica / Elementi finiti / Equazioni a derivate parziali / Numerical analysis / Finite elements / Partial differential equations
