The Runge-Kutta local projection -discontinuous-Galerkin finite element method for scalar conservation laws
The Secant Method and Fixed Points of Nonlinear Operators.
The second order projection method in time for the time-dependent natural convection problem
We consider the second-order projection schemes for the time-dependent natural convection problem. By the projection method, the natural convection problem is decoupled into two linear subproblems, and each subproblem is solved more easily than the original one. The error analysis is accomplished by interpreting the second-order time discretization of a perturbed system which approximates the time-dependent natural convection problem, and the rigorous error analysis of the projection schemes is...
The second-order methods in discrete optimal control problems
The Serial Test for Pseudo-Random Numbers Generated by the Linear Congruential Method.
The shooting method and multiple solutions of two/multi-point BVPs of second-order ODE.
The shooting method and nonhomogeneous multipoint bvps of second-order ODE.
The Sinc Method in Multiple Space Dimensions: Model Probelms.
The sinc-Galerkin method for solving singularly-perturbed reaction-diffusion problem.
The single (and multi) item profit maximizing capacitated lot–size (PCLSP) problem with fixed prices and no set–up
This paper proposes a specialized LP-algorithm for a sub problem arising in simple Profit maximising Lot-sizing. The setting involves a single (and multi) item production system with negligible set-up costs/times and limited production capacity. The producer faces a monopolistic market with given time-varying linear demand curves.
The smooth continuation method in optimal control with an application to quantum systems
The motivation of this article is double. First of all we provide a geometrical framework to the application of the smooth continuation method in optimal control, where the concept of conjugate points is related to the convergence of the method. In particular, it can be applied to the analysis of the global optimality properties of the geodesic flows of a family of Riemannian metrics. Secondly, this study is used to complete the analysis of two-level dissipative quantum systems, where the system...
The smooth continuation method in optimal control with an application to quantum systems
The motivation of this article is double. First of all we provide a geometrical framework to the application of the smooth continuation method in optimal control, where the concept of conjugate points is related to the convergence of the method. In particular, it can be applied to the analysis of the global optimality properties of the geodesic flows of a family of Riemannian metrics. Secondly, this study is used to complete the analysis of two-level dissipative quantum systems, where the system...
The smoothness criterion as a trend diagnostic.
The solution existence and convergence analysis for linear and nonlinear differential-operator equations in Banach spaces within the Calogero type projection-algebraic scheme of discrete approximations
The projection-algebraic approach of the Calogero type for discrete approximations of linear and nonlinear differential operator equations in Banach spaces is studied. The solution convergence and realizability properties of the related approximating schemes are analyzed. For the limiting-dense approximating scheme of linear differential operator equations a new convergence theorem is stated. In the case of nonlinear differential operator equations the effective convergence conditions for the approximated...
The solution of integral equations on an analog computer
The solution of parabolic models by finite element space and -stable time discrezation
The Solution of Parabolic Partial Differential Equations by Boundary Value Methods
The solution of the initial value problem for the general dynamic equations in nonlinear elasticity under damping conditions
The solvability of a class of general nonlinear implicit variational inequalities based on perturbed three-step iterative processes with errors.
The SOR Method on Parallel Computers.