Modern Methods in Scientific Computing and Applications

ISBN-13: 9781402007811 / Angielski / Twarda / 2002 / 492 str.

Anne Bourlioux; Anne Bourlioux; Martin J. Gander

Opis

One half of this book focuses on the techniques of scientific computing: domain decomposition, the absorption of boundary conditions and one-way operators, convergence analysis of multi-grid methods and other multi-grid techniques, dynamical systems, and matrix analysis. The remainder of the book is concerned with combining techniques with concrete applications: stochastic differential equations, image processing, and thin films."

Spis treści

Preface.- Key to group picture.- Participants.- Contributors.- Computation of large-scale quadratic forms and transfer functions using the theory of moments, quadrature and Padé approximation.- Thin film dynamics: theory and applications.- Numerical turbulent combustion: an asymptotic view via an idealized test-case.- Multigrid methods: from geometrical to algebraic versions.- one-way operators, absorbing boundary conditions and domain decomposition for wave propagation.- Deterministic and random dynamical systems: theory and numerics.- Optimal investment problems and volatility homogenization approximations.- Image processing with partial differential equations.- Interface connections in domain decomposition methods.- A review of level set and fast marching methods for image processing.- Recent developments in the theory of front propagation and its applications.- Computing finite-time singularities in interfacial flows.- Index.