Tractability analysis addresses the fundamental challenge of approximating multivariate functions as both the number of variables and the desired accuracy increase. In high dimensions, naive ...

ABSTRACT: The numerical algorithms for finding the lines of branching and branching-off solutions of nonlinear problem on mean-square approximation of a real finite nonnegative function with respect ...

Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. As soon as an appropriate mathematical model is developed, it can ...

In this talk we will present approximation algorithms (and general techniques) for some basic problems in the field of stochastic optimization. A canonical problem is stochastic knapsack: we are given ...

Abstract: This article considers the wide-spacing approximation when applied to two-dimensional linear problems involving the scattering and radiation of water waves by structures in a fluid of ...

ABSTRACT: Numerical solutions of the modified equal width wave equation are obtained by using collocation method with septic B-spline finite elements with three different linearization techniques. The ...