http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Modern Methods in Scientific Computing and Applications
Proceedings of the NATO Advanced Study Institute and Séminaire de Mathématiques Supérieures on Modern Methods in Scientific Computing and Applications, Montréal, Québec, Canada, 9-20 July 2001
The influence of scientific computing has become very wide over the last few decades: almost every area of science and engineering is greatly influenced by simulations - image processing, thin films, mathematical finance, electrical engineering, moving interfaces and combustion, to name but a few. 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, thin films, and asymptotic analysis for combustion problems.
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.
edited by Anne Bourlioux, Martin J. Gander, Gert Sabidussi.