The frequency decomposition multi-grid method. II. Convergence analysis based on the additive Schwarz method.
The Frequency Decomposition Multi-Grid Method. Part I: Application to Anisotropic Equations.
The Fuchsian Cauchy problem.
The function classes and global linear Goursat problems
The functional calculus for the laplacian on Lipschitz domains
The fundamental solution for a consistent complex model of the shallow shell equations.
The Fundamental Solution for the Kohn-Laplacian ....b on the Sphere in Cn.
The fundamental solution of a modified Oseen problem.
The fundamental solutions for fractional evolution equations of parabolic type.
The fundamental solutions for fractional evolution equations of parabolic type.
The -expansion method for solving the combined and the double combined sinh-cosh-Gordon equations.
The G method for heterogeneous anisotropic diffusion on general meshes
In the present work we introduce a new family of cell-centered Finite Volume schemes for anisotropic and heterogeneous diffusion operators inspired by the MPFA L method. A very general framework for the convergence study of finite volume methods is provided and then used to establish the convergence of the new method. Fairly general meshes are covered and a computable sufficient criterion for coercivity is provided. In order to guarantee consistency in the presence of heterogeneous diffusivity,...
The gaps in the spectrum of the Schrödinger operator
We obtain inequalities between the eigenvalues of the Schrödinger operator on a compact domain Ω of a submanifold M in with boundary ∂Ω, which generalize many existing inequalities for the Laplacian on a bounded domain of a Euclidean space. We also establish similar inequalities for a closed minimal submanifold in the unit sphere, which generalize and improve Yang-Yau’s result.
The Gauss center research in multiscale scientific computation.
The Gauss Map for Surfaces in 4-Space.
The general form of local bilinear functions
The scalar product of the FEM basis functions with non-intersecting supports vanishes. This property is generalized and the concept of local bilinear functional in a Hilbert space is introduced. The general form of such functionals in the spaces and is given.
The general method for solving of the boundary problems for the partial differential equations of any order II
The general method for solving the partial differential equation of any order with unknown function depending on any number of arguments and the system of such equations
The Generalized Ahlfors-Heins Theorem in Certain d-Dimensional Cones.
The generalized Airy diffusion equation.