Asymptotic behavior of coupled hyerbolic parabolic systems & numerics
Salem NafiriLahcen Maniar
Broschiertes Buch

Asymptotic behavior of coupled hyerbolic parabolic systems & numerics

Semigroup and Lyapunov theory

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The main purpose of this book is to study the following problem: If a system of partial differential equation decays polynomially to zero, what are the conditions for which its numerical approximation still decreases polynomially to zero uniformly with respect to the step size? To answer this question, we consider two different methods: The first one called the resolvent method is to link the decay of the system to equilibrium to the asymptotic behavior of the resolvent along the imaginary axis. The second one called the energy method or the renorming method consists in choosing an appropriate...