‎‎‎In this paper‎, ‎we develop multi-step methods to solve a class of two-dimensional nonlinear Volterra integral equations (2D-NVIEs) of the first kind‎. ‎Here‎, ‎we convert a 2D-NVIE of the first kind to a one-dimensional linear VIE of the first kind and then we solve the resulted equation numerically by multi-step methods‎. ‎We also verify convergence and error analysis of the method‎. ‎At t...

Color noise is a special kind of often occurring in localization systems, and it more suitable than the general Gaussian white to model time dependence due delay or high-frequency sampling. This paper derives nonlinear filtering framework for multi-step colored systems using whitening techniques Bayes rule. Meanwhile, cubature rule used solve Gaussian-weighted integral proposed framework, resul...

For solving non-smooth multidimensional optimization problems, we present a family of relaxation subgradient methods (RSMs) with built-in algorithm for finding the descent direction that forms an acute angle all subgradients in neighborhood current minimum. Minimizing function along opposite (with minus sign) enables to go beyond The algorithms is based on systems inequalities. finite convergen...