On a finite difference analogue of a singular boundary value problem.
On a finite difference analogue of forth order for boundary value problem.
On a finite-element collocation method which reproduces the Padé table
On a fixed point index method for the analysis of the asymptotic behavior and boundary value problems of process and semidynamical systems
On a fourth-order finite difference method for nonlinear two-point boundary value problems.
On a free boundary problem associated with combustion and solidification
On a Free Interface Problem for Linear Ordinary Differential Equations and the One-Phase Stefan Problem.
On a general conception of duality in optimal control
On a general convergence for Broyden like update method.
On a Generalization of the Richardson Extrapolation Process.
On a Global Descent Method for Polynomials.
On a hierarchical basis multilevel method with nonconforming P1 elements.
On a hybrid finite-volume-particle method
We present a hybrid finite-volume-particle numerical method for computing the transport of a passive pollutant by a flow. The flow is modeled by the one- and two-dimensional Saint-Venant system of shallow water equations and the pollutant propagation is described by a transport equation. This paper is an extension of our previous work [Chertock, Kurganov and Petrova, J. Sci. Comput. (to appear)], where the one-dimensional finite-volume-particle method has been proposed. The core idea behind the...
On a hybrid finite-volume-particle method
We present a hybrid finite-volume-particle numerical method for computing the transport of a passive pollutant by a flow. The flow is modeled by the one- and two-dimensional Saint-Venant system of shallow water equations and the pollutant propagation is described by a transport equation. This paper is an extension of our previous work [Chertock, Kurganov and Petrova, J. Sci. Comput. (to appear)], where the one-dimensional finite-volume-particle method has been proposed. The core idea behind the...
On a Least-Squares Collocation Method for Linear Differential-Algebraic Equations.
On a Lyapunov type equation related to parabolic spectral dichotomy.
On a maximum principle for nonlinear equations
On a method for a-posteriori error estimation of approximate solutions to parabolic problems
The aim of the paper is to derive a method for the construction of a-posteriori error estimate to approximate solutions to parabolic initial-boundary value problems. The computation of the suggested error bound requires only the computation of a finite number of systems or linear algebraic equations. These systems can be solved parallelly. It is proved that the suggested a-posteriori error estimate tends to zero if the approximation tends to the true solution.
On a method of D. Marsal for equations with positive operators
On a method of pseudo-random numbers generation