On the controllability of the Burger equation
We present here a return method to describe some attainable sets on an interval of the classical Burger equation by means of the variation of the domain.
On the controllability of the fifth-order Korteweg-de Vries equation
On the controllability under constraints on the control for hyperbolic equations.
On the Convective Cahn-Hilliard Equation
The author studies the convective Cahn-Hilliard equation. Some results on the existence of classical solutions and asymptotic behavior of solutions are established. The instability of the traveling waves is also discussed.
On the convergence of a factorized vector finite difference scheme.
On the convergence of a linear two-step finite element method for the nonlinear Schrödinger equation
We discretize the nonlinear Schrödinger equation, with Dirichlet boundary conditions, by a linearly implicit two-step finite element method which conserves the norm. We prove optimal order a priori error estimates in the and norms, under mild mesh conditions for two and three space dimensions.
On the convergence of a linear two-step finite element method for the nonlinear Schrödinger equation
We discretize the nonlinear Schrödinger equation, with Dirichlet boundary conditions, by a linearly implicit two-step finite element method which conserves the L2 norm. We prove optimal order a priori error estimates in the L2 and H1 norms, under mild mesh conditions for two and three space dimensions.
On the convergence of a modified block SOR algorithm.
On the convergence of a multicomponent alternating direction difference scheme.
On the Convergence of an Inverse Iteration Method for Nonlinear Elliptic Eigenvalue Problems.
On the Convergence of Difference Schemes for the Approximation of Solutions u...W... (m>0.5) of Elliptic Equations with Mixed Derivatives.
On the convergence of difference schemes for the equation on generalized solutions of .
On the convergence of eigenvalues for mixed formulations
On the Convergence of Finite Difference Scheme for Elliptic Equation With Coefficients Containing Dirac Distribution
On the Convergence of Finite-Difference Schemes for Parabolic Equations with Variable Coefficients.
On the convergence of gelerkin approximations
On the convergence of generalized polynomial chaos expansions
A number of approaches for discretizing partial differential equations with random data are based on generalized polynomial chaos expansions of random variables. These constitute generalizations of the polynomial chaos expansions introduced by Norbert Wiener to expansions in polynomials orthogonal with respect to non-Gaussian probability measures. We present conditions on such measures which imply mean-square convergence of generalized polynomial chaos expansions to the correct limit and complement...
On the convergence of generalized polynomial chaos expansions
A number of approaches for discretizing partial differential equations with random data are based on generalized polynomial chaos expansions of random variables. These constitute generalizations of the polynomial chaos expansions introduced by Norbert Wiener to expansions in polynomials orthogonal with respect to non-Gaussian probability measures. We present conditions on such measures which imply mean-square convergence of generalized polynomial...
On the convergence of Laplace-Beltrami operators associated to quasiregular mappings
On the Convergence of Multi-Grid Methods for a Hypersingular Integral Equation of the First Kind.