Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters edited by H.G. Kaper, Marc Garbey.
This volume contains the proceedings of the NATO Advanced Research Workshop on "Asymptoticinduced Numerical Methods for Partial Differ ential Equations, Critical Parameters, and Domain Decomposition," held at Beaune (France), May 2528, 1992. The purpose of the workshop was to stimulate...
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Dordrecht :
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Edition:  1st ed. 1993. 
Series:  Nato Science Series C:, Mathematical and Physical Sciences,
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245  1  0  a Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters h [electronic resource] / c edited by H.G. Kaper, Marc Garbey. 
246  3  a Proceedings of the NATO Advanced Research Workshop on ̀AsymptoticInduced Numerical Methods for Partial Differential Equations, Critical Parameters, and Domain Decomposition', Beaune, France, May 2528, 1992  
250  a 1st ed. 1993.  
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490  1  a Nato Science Series C:, Mathematical and Physical Sciences, x 13892185 ; v 384  
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505  0  a 1: Modeling of Complex Systems with Asymptoticenhanced Numerical Methods  Asymptotics and Numerics for Laminar Flow over a Finite Flat Plate  TimeScale Decoupling for Nearly Periodic AdvectionDiffusion Equations  Turbulence Modeling from an Asymptotic Point of View  Some Applications of Combined Asymptotics and Numerics in Fluid Mechanics and Aerodynamics  AsymptoticAssisted Numerics for Spectral Perturbation in MHD Instability  2: Asymptoticinduced Domain Decomposition Methods  Domain Decomposition as a Mechanism for Using Asymptotic Methods  Domain Decomposition: A Blowup Problem and the GinzburgLandau Equations  Factorization of the AdvectionDiffusion Operator and Domain Decomposition Method  3: MultipleScale 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 WaterWave Problem  Supersensitive Boundary Value Problems  Asymptotics of the ThualFauve Pulse  Exponential Convergence of the Galerkin Approximation of the GinzburgLandau 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 NavierStokes Equations  Numerical Approximation of a 2D SingularPerturbation Problem Using an Asymptotic Expansion and a Finite Element Method  Internal Boundary Conditions and the Feedback Loop for Nested TwoWay Communication Schemes  Subdomain PredictorCorrector Algorithms for Solving the Incompressible NavierStokes Equation  Parallel BLAS and BLACS for Numerical Algorithms on a Reconfigurable Network.  
520  a This volume contains the proceedings of the NATO Advanced Research Workshop on "Asymptoticinduced Numerical Methods for Partial Differ ential Equations, Critical Parameters, and Domain Decomposition," held at Beaune (France), May 2528, 1992. The purpose of the workshop was to stimulate the integration of asymp totic analysis, domain decomposition methods, and symbolic manipulation tools for the numerical solution of partial differential equations (PDEs) with critical parameters. A workshop on the same topic was held at Argonne Na tional Laboratory in February 1990. (The proceedings were published under the title Asymptotic Analysis and the Numerical Solu.tion of Partial Differ ential Equations, Hans G. Kaper and Marc Garbey, eds., Lecture Notes in Pure and Applied Mathematics. Vol. 130, ·Marcel Dekker, Inc., New York, 1991.) In a sense, the present proceedings represent a progress report on the topic area. Comparing the two sets of proceedings, we see an increase in the quantity as well as the quality of the contributions. 110re research is being done in the topic area, and the interest covers serious, nontrivial problems. We are pleased with this outcome and expect to see even more advances in the next few years as the field progresses.  
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