In this paper, we investigate Jacobi pseudospectral method for fourth order problems. We establish some basic results on the Jacobi-Gauss-type interpolations in non-uniformly weighted Sobolev spaces, ...

Jacobi Method The JACOBI option on the SOLVE statement selects a matrix-free alternative to Newton's method. This method is the traditional nonlinear Jacobi method found in the literature. The Jacobi ...

By employing strategies such as the one-sided Jacobi method, batched processing and QR factorisation pre-processing, these algorithms enhance both computational throughput and numerical accuracy ...

In this paper we study the numerical transition from a Hamilton-Jacobi (H-J) equation to its associated system of conservation laws in arbitrary space dimensions. We first study how, in a very generic ...

The Jacobi iterative method is a method introduced by German mathematician Carl Gustav Jacob Jacobi in 1845 to solve diagonally dominant systems of linear equations by using an approximate value ...

Jacobi stability and dynamical systems analysis form a powerful framework for understanding the robustness and intricate evolution of nonlinear systems across diverse disciplines.