This introduction to finite difference and finite element methods is aimed at graduate students who need to solve differential equations. The prerequisites are few (basic calculus, linear algebra, and ...

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Finite-difference methods provide us with a powerful tool for generating numerical solutions to the partial differential equations of mathematical physics including the equations of fluid flow. Before ...

Such methods include pseudospectral and high accuracy finite difference methods, and methods based on radial basis functions (RBFs). Their main application areas include computational fluid dynamics, ...

Mathematical approaches for numerically solving partial differential equations. The focus will be (a) iterative solution methods for linear and non-linear equations, (b) spatial discretization and ...