Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters [E-Book] / edited by Hans G. Kaper, Marc Garbey, Gail W. Pieper.
Garbey, Marc, (editor)
Kaper, Hans G., (editor) / Pieper, Gail W., (editor)
Dordrecht : Springer, 1993
XVIII, 372 p. online resource.
NATO ASI Series, Series C: Mathematical and Physical Sciences ; 384
Full Text
Table of Contents:
  • 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.