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, ...

In this paper, a nonpolynomial-based spectral collocation method and its well-conditioned variant are proposed and analyzed. First, we develop fractional differentiation matrices of nodal Jacobi ...

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

Abstract: Full-AC load flow is a crucial task in power system analysis. Solving full-AC load flow utilizes iterative numerical methods such as Jacobi, Gauss-Seidel or Newton-Raphson. Newton-Raphson is ...

If the SINGLE option is not used, PROC MODEL computes values that simultaneously satisfy the model equations for the variables named in the SOLVE statement. PROC MODEL provides three iterative methods ...

A relic from long before the age of supercomputers, a 169-year-old math strategy called the Jacobi iterative method is widely dismissed today as too slow to be useful. But thanks to a curious, numbers ...

The study of evolutionary dynamics has increasingly drawn upon sophisticated mathematical frameworks to model the adaptive processes of populations. In recent decades, Hamilton-Jacobi equations have ...