Alternating direction Galerkin method with capacitance matrix for the parabolic problem with natural boundary condition
Alternating Iteration and Elliptic Variational Inequalities.
Alternative approaches to the two-scale convergence
Two-scale convergence is a special weak convergence used in homogenization theory. Besides the original definition by Nguetseng and Allaire two alternative definitions are introduced and compared. They enable us to weaken requirements on the admissibility of test functions . Properties and examples are added.
Alternative de Fredholm relative au problème de Dirichlet dans un polyèdre
Amplitude equation for SPDEs with quadratic nonlinearities.
An a posteriori Error Estimation of the Rayleigh-Ritz Eigenvalues.
An Abbreviated Numerical Scheme for Linear Symmetric Hyperbolic Equations, n ... 2.
An abstract differential equation and the potential bifurcation theorems by Krasnosel'skij
An abstract differential inequality and eigenvalues of variational inequalities
An abstract non-linear Cauchy-Kowalewski theorem and its proof by a contraction-mapping principle
An abstract version of the concentration compactness principle.
We prove an abstract version of concentration compactness principle in Hilbert space and show its applications to a range of elliptic problems on unbounded domains.
An accuracy improvement in Egorov's theorem.
We prove that the theorem of Egorov, on the canonical transformation of symbols of pseudodifferential operators conjugated by Fourier integral operators, can be sharpened. The main result is that the statement of Egorov's theorem remains true if, instead of just considering the principal symbols in Sm/Sm-1 for the pseudodifferential operators, one uses refined principal symbols in Sm/Sm-2, which for classical operators correspond simply to the principal plus the subprincipal symbol, and can generally...
An accurate solution of the Poisson equation by the Legendre tau method.
An adaptive multi-level method for convection diffusion problems
An Adaptive Multi-level method for Convection Diffusion Problems
In this article we introduce an adaptive multi-level method in space and time for convection diffusion problems. The scheme is based on a multi-level spatial splitting and the use of different time-steps. The temporal discretization relies on the characteristics method. We derive an a posteriori error estimate and design a corresponding adaptive algorithm. The efficiency of the multi-level method is illustrated by numerical experiments, in particular for a convection-dominated problem.
An Adaptive Newton Algorithm Based on Numerical Inversion: Regularization as Postconditioner.
An adaptive numerical method for the wave equation with a nonlinear boundary condition.
An addition theorem for the manifolds with the Laplacian having discrete spectrum.
An additive Schwarz method for mortar Morley finite element discretizations of 4th order elliptic problem in 2D.
An adiabatic theorem for singularly perturbed hamiltonians