Linear systems are the building blocks of countless real-world phenomena, from engineering to economics. This project explores the elegant methods used to solve these systems. The Gauss method is ...
Abstract: The large scale sparse linear systems often appear in a wide variety of areas of mathematics, physical, fluid dynamics and economics science. So, solving efficiently these systems aroused ...
Main.java - Handles user input, reads the matrix from a file or manual input, and applies the chosen numerical method. Iteration 1: [2.0000 3.0000 4.0000]T Iteration ...
SIAM Journal on Numerical Analysis, Vol. 27, No. 3 (Jun., 1990), pp. 804-822 (19 pages) Interval Newton methods in conjunction with generalized bisection can form the basis of algorithms that find all ...
ABSTRACT: The aim of this paper is to give an appropriate numerical method to solve Allen-Cahn equation, with Dirichlet or Neumann boundary condition. The time discretization involves an explicit ...
Abstract: This paper focuses on the linear quadratic regulator problem of discrete-time Markov jump linear systems without knowing the system matrices. A model-free fixed-point iteration algorithm is ...
ABSTRACT: In this paper, we present parallel implementation of the Gauss-Seidel (GS) iterative algorithm for the solution of linear systems of equations on a k-ary n-cube parallel machine using Open ...
We consider the nonlinear system of equations that results from the Van Leer flux vector-splitting discretization of the one dimensional Euler equations. This nonlinear system is linearized at the ...