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" Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters "
edited by Hans G. Kaper, Marc Garbey, Gail W. Pieper.
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BL
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| Record Number
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774932
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b594927
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| Main Entry
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edited by Hans G. Kaper, Marc Garbey, Gail W. Pieper.
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| Title & Author
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Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters\ edited by Hans G. Kaper, Marc Garbey, Gail W. Pieper.
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| Publication Statement
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Dordrecht : Springer Netherlands : Imprint : Springer, 1993
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| Series Statement
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NATO ASI series., Series C,, Mathematical and physical sciences ;, 384.
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(396 pages 1 illustration)
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| ISBN
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9401047987
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: 9401118108
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: 9789401047982
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: 9789401118101
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| Contents
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1: Modeling of Complex Systems with Asymptotic-enhanced Numerical Methods --; Asymptotics and Numerics for Laminar Flow over a Finite Flat Plate --; Time-Scale Decoupling for Nearly Periodic Advection-Diffusion Equations --; Turbulence Modeling from an Asymptotic Point of View --; Some Applications of Combined Asymptotics and Numerics in Fluid Mechanics and Aerodynamics --; Asymptotic-Assisted Numerics for Spectral Perturbation in MHD Instability --; 2: Asymptotic-induced Domain Decomposition Methods --; Domain Decomposition as a Mechanism for Using Asymptotic Methods --; Domain Decomposition: A Blowup Problem and the Ginzburg-Landau Equations --; Factorization of the Advection-Diffusion Operator and Domain Decomposition Method --; 3: Multiple-Scale Problems in Scientific Computing --; Modulated Traveling Waves in Combustion --; Asymptotics and Multiscale Simulation in a Numerical Combustion Laboratory --; 4: Applied and Asymptotic Analysis --; Viscoelastic Fluid Flow: Critical Parameters and Asymptotics --; Exponentially Small Splitting of Homoclinic Orbits in a Water-Wave Problem --; Supersensitive Boundary Value Problems --; Asymptotics of the Thual-Fauve Pulse --; Exponential Convergence of the Galerkin Approximation of the Ginzburg-Landau Equation --; 5: Symbolic Manipulation Tools for Asymptotic Analysis --; General Asymptotic Scales and Computer Algebra --; 6: Numerical Methods, Algorithms, and Architectures --; Domain Decomposition by the Mortar Element Method --; Multilevel Projection Methods for Partial Differential Equations --; A Parallel Adaptive Multigrid Algorithm for the Incompressible Navier-Stokes Equations --; Numerical Approximation of a 2-D Singular-Perturbation Problem Using an Asymptotic Expansion and a Finite Element Method --; Internal Boundary Conditions and the Feedback Loop for Nested Two-Way Communication Schemes --; Subdomain Predictor-Corrector Algorithms for Solving the Incompressible Navier-Stokes Equation --; Parallel BLAS and BLACS for Numerical Algorithms on a Reconfigurable Network.
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| Abstract
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This volume provides a record of the workshop on asymptotic-induced numerical methods for partial differential equations, critical parameters and domain decomposition, held at Beaune, France. Discussing new computational methods, recent algorithm developments, and state-of-the-art techniques in mathematical modeling, Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters explores important topics in theory and application, including: modeling of complex fluid dynamics systems; asymptotic-induced domain decomposition methods; analysis of strongly nonlinear problems; tools available for modern numerical analysis; and symbolic manipulation tools for multiscale problems. Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters presents a panoramic view of areas where asymptotic analysis, numerical analysis, and scientific computing are beginning to be integrated effectively. With articles ranging from mathematical models and applications to state-of-the-art algorithms and computational methods, the book is an invaluable text for mathematicians, engineers, and computer scientists who wish to become involved in this challenging new area of research.
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Decomposition (Mathematics) -- Congresses.
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Differential equations, Partial -- Asymptotic theory -- Congresses.
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Differential equations, Partial -- Numerical solutions -- Congresses.
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| Added Entry
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Gail W Pieper
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H G Kaper
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Marc Garbey
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| Parallel Title
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Proceedings of the NATO Advanced Research Workshop on 'Asymptotic-Induced Numerical Methods for Partial Differential Equations, Critical Parameters, and Domain Decomposition', Beaune, France, May 25-28, 1992
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