We cover three strategies of Classical Iterations: Jacobi, Gauss-Seidel and SOR(Successive Over-Relaxation) method. Task: Solve linear system $\boldsymbol{Ax}=\boldsymbol{b}$. Let us discuss the ...
We introduce some iterative methods for solving the linear system $\boldsymbol{Ax}=\boldsymbol{b}$ in this chapter. Why do we need iterative methods? Reduce the cost ...
Abstract: This study aimed at comparing the rate of convergence and performance of Newton-Raphson and Regula-Falsi method for solving the nonlinear equations. To solve nonlinear equations, two ...
The boundary value problems (BVPs) have attracted the attention of many scientists from both practical and theoretical points of view, for these problems have remarkable applications in different ...
ABSTRACT: In this paper, seven self-accelerating iterative methods with memory are derived from an optimal two-step Steffensen-type method without memory for solving nonlinear equations, their orders ...
Linear solvers are major computational bottlenecks in a wide range of decision support and optimization computations. The challenges become even more pronounced on heterogeneous hardware, where ...
Abstract: The numerical solution of coupled partial differential equations (PDEs) represents a significant challenge for traditional methods such as the finite element method (FEM), particularly in ...
ABSTRACT: When trying to fit data to functions of the eigensystem of a pde-eigenvalue problem, such as Maxwell’s equation, numerical differentiation is ineffective and analytic gradients must be ...
Some results have been hidden because they may be inaccessible to you
Show inaccessible results