Abstract: This communication proposes an improved energy technique for the convergence and stability analysis of upwind-flux-based discontinuous Galerkin time-domain (DGTD) method. By formulating the ...
A comprehensive Python implementation of selected numerical methods for solving Ordinary Differential Equations (ODEs), designed with clarity and research rigor. This repository contains Python codes ...
Many of today’s most pressing scientific and engineering challenges, from modeling the future effects of climate change to simulating financial systems under stress, depend on the accurate solution of ...
The theoretical analysis and computational implementation of factorization-based methods for the numerical solution of linear boundary value problems for ordinary differential equations are presented.
In this research field we are developing advanced computational methods centered around efficient solution strategies for partial differential equations. In numerical analysis, we focus on developing ...
This is a preview. Log in through your library . Abstract A convergence theory has been established for a new numerical method for solving the Chapman-Kolmogorov equation [Y. Cai, A Numerical ...
LAMBERT, J.D. Computational Methods in Ordinary Differential Equation . John Wiley & Sons, 1973. SMITH, G.D. Oxford Applied Mathematics and Computing Science Series-Numerical Solution of Partial ...
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