A novel parallel algorithm based on the Gram-Schmidt method for tridiagonal linear systems of equations.
A novel solution for the Glauert-jet problem by variational iteration method-Padé approximant.
A numerical algorithm for the Stokes problem based on an integral equation for the pressure via conformal mappings.
A Numerical Approach of the sentinel method for distributed parameter systems
In this paper we consider the problem of detecting pollution in some non linear parabolic systems using the sentinel method. For this purpose we develop and analyze a new approach to the discretization which pays careful attention to the stability of the solution. To illustrate convergence properties we give some numerical results that present good properties and show new ways for building discrete sentinels.
A numerical approach to a class of unilateral elliptic problems of non-variational type
A numerical approximation of non-Fickian flows with mixing length growth in porous media.
A numerical method for a singularly perturbed three-point boundary value problem.
A Numerical Method for Detecting Singular Minimizers.
A numerical method for detecting singular minimizers of multidimensional problems in nonlinear elasticity.
A numerical method for elliptic problems.
A numerical method for solution of semidifferential equations
A numerical method for solving heat equations involving interfaces.
A numerical method for solving inverse eigenvalue problems
A numerical method for solving inverse eigenvalue problems
Based on QR-like decomposition with column pivoting, a new and efficient numerical method for solving symmetric matrix inverse eigenvalue problems is proposed, which is suitable for both the distinct and multiple eigenvalue cases. A locally quadratic convergence analysis is given. Some numerical experiments are presented to illustrate our results.
A Numerical Method for Solving Singular Boundary Value Problems.
A numerical method for solving the Abel integral equation
A numerical method for solving the problem
A numerical method for the solution of the nonlinear observer problem
The central part in the process of solving the observer problem for nonlinear systems is to find a solution of a partial differential equation of first order. The original method proposed to solve this equation used expansions into Taylor polynomials, however, it suffers from rather restrictive assumptions while the approach proposed here allows to generalize these requirements. Its characteristic feature is that it is based on the application of the Finite Element Method. An illustrating example...
A numerical method in terms of the third derivative for a delay integral equation from biomathematics.
A numerical method of fitting a multiparameter nonlinear function to experimental data in the norm
A numerical method of fitting a multiparameter function, non-linear in the parameters which are to be estimated, to the experimental data in the norm (i.e., by minimizing the sum of absolute values of errors of the experimental data) has been developed. This method starts with the least squares solution for the function and then minimizes the expression , where is the error of the -th experimental datum, starting with an comparable with the root-mean-square error of the least squares solution...