Convergence Near Plane Boundaries of Some Elliptic Difference Schemes.
Convergence of a Finite Difference Method for the Third BVP for Poisson's Equation
Convergence of a finite difference scheme for the third boundary-value problem.
Convergence of a lattice numerical method for a boundary-value problem with free boundary and nonlinear Neumann boundary conditions.
Convergence of a variational lagrangian scheme for a nonlinear drift diffusion equation
We study a Lagrangian numerical scheme for solution of a nonlinear drift diffusion equation on an interval. The discretization is based on the equation’s gradient flow structure with respect to the Wasserstein distance. The scheme inherits various properties from the continuous flow, like entropy monotonicity, mass preservation, metric contraction and minimum/ maximum principles. As the main result, we give a proof of convergence in the limit of vanishing mesh size under a CFL-type condition. We...
Convergence of Finite-difference Schemes for Poisson's Equation With Boundary Condition of the Third Kind
Der Einfluß von Randsingularitäten beim Ritzschen Verfahren. - Solution Effects of the Ritz Method.
Die maximale Konsistenzordnung von Differenzenapproximationen nichtnegativer Art.
Die Mehrstellenformeln für den Laplaceoperator.
Difference Analogues of Green's Identities for Grids in Rn.
Difference method for an elliptic system of nonlinear differential-functional equations.
Difference scheme for the Vlasov-Manev system.
Differenzenverfahren zur Berechnung periodischer Lösungen von hyperbolischen Differentialgleichungen.
Diffusion limit of the Lorentz model : asymptotic preserving schemes
This paper deals with the diffusion limit of a kinetic equation where the collisions are modeled by a Lorentz type operator. The main aim is to construct a discrete scheme to approximate this equation which gives for any value of the Knudsen number, and in particular at the diffusive limit, the right discrete diffusion equation with the same value of the diffusion coefficient as in the continuous case. We are also naturally interested with a discretization which can be used with few velocity discretization...
Diffusion Limit of the Lorentz Model: Asymptotic Preserving Schemes
This paper deals with the diffusion limit of a kinetic equation where the collisions are modeled by a Lorentz type operator. The main aim is to construct a discrete scheme to approximate this equation which gives for any value of the Knudsen number, and in particular at the diffusive limit, the right discrete diffusion equation with the same value of the diffusion coefficient as in the continuous case. We are also naturally interested with a discretization which can be used with few velocity discretization...
Discrete Sobolev spaces and regularity of elliptic difference schemes
Dos algoritmos para la resolución numérica de una ecuación parabólica casi-lineal.
Eigenvalues and eigenfunctions of the Laplace operator on an equilateral triangle for the discrete case
A discretized boundary value problem for the Laplace equation with the Dirichlet and Neumann boundary conditions on an equilateral triangle with a triangular mesh is transformed into a problem of the same type on a rectangle. Explicit formulae for all eigenvalues and all eigenfunctions are given.
Explicit Difference Approximations of Du Fort-Frankel Type of the One-Dimensional Diffusion Equation.
Finite difference approximations for partial differential equations with rapidly oscillating coefficients