Titlebook: Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters; Hans G. Kaper,Marc Garbey,Gail W. Pieper Boo

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Asymptotics of the Thual-Fauve Pulselike solutions that decay exponentially at infinity. The branch of solutions crosses a subcritical turning point; past that critical value, a small perturbation of the pulse evolves into the same pulse, up to translations in space and in phase.

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Ovulation

是贪求

https://doi.org/10.1007/978-1-4615-1135-9We describe the results of asymptotic analysis for a class of singularly perturbed ODEs that arise in the theory of water waves. The emphasis is on the question of existence of solitary waves and the phenomenon of exponentially small splitting of homoclinic orbits.

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Domain Decomposition as a Mechanism for Using Asymptotic MethodsThis paper summarizes some recent advances in numerical analysis for PDEs, particularly those in algebraic domain decomposition techniques, and demonstrates how such methods may be combined with asymptotic methods to provide robust and effective solvers.

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Factorization of the Advection-Diffusion Operator and Domain Decomposition MethodWe propose an iterative algorithm that involves, at each step, the solving of the advection-diffusion equation on each subdomain. Each subproblem is subject to boundary conditions issued from the approximate factorization of the advection-diffusion operator. The method is more efficient as the viscosity decreases. Numerical tests are shown.

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biopsy

https://doi.org/10.1007/978-94-011-1810-1Computer; algorithms; calculus; differential equation; modeling; numerical methods; partial differential e

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bourgeois

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