These methods with or without the Jacobian are analyzed in terms of convergence and stability. In particular, it is proved that the proposed methods have a convergence order up to 4 regardless of the ...

The research of the institute focuses on the construction, analysis and implementation of efficient numerical methods and algorithms for solving practical and complex problems arising from various ...

This article presents a numerical simulation of projectile motion using Newton's laws. The simulation investigates projectile motion with and without air resistance. Using the Euler method for ...

1D Finite Element Method (FEM) Solver - Euler Equations - 1D Sod Shock Tube Problem Description This project employs a one-dimensional Finite Element Method (FEM) solver in Python. It uses the ...

Hydrodynamical evolution in a gravitational field arises in many astrophysical and atmospheric problems. In this presentation, we will talk about arbitrary order structure preserving discontinuous ...

Domain decomposition methods constitute a fundamental strategy in numerical analysis, enabling the partitioning of large and complex computational problems into smaller, more manageable sub-problems.

The element‐free Galerkin (EFG) methods represent a significant progression in numerical analysis, harnessing meshless techniques to overcome challenges associated with conventional meshing. By ...

This chapter first briefly recapitulates the concepts of differential equations. A differential equation is a mathematical relation formulated among function, variables over which it is dependent, and ...