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 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 ...

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 ...

What is widely considered in engineering circles as an elegant but otherwise useless mathematical strategy from the nineteenth century gets a makeover from a professor and graduate student pair from ...

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 ...

Parallel algorithms for singular value decomposition (SVD) have risen to prominence as an indispensable tool in high-performance numerical linear algebra. They offer significant improvements in the ...