The common techniques for solving two-point boundary value problems can be classified as either "shooting" or "finite difference" methods. Central to a shooting method is the ability to integrate the ...

ABSTRACT: The solution of the Riemann Problem (RP) for the one-dimensional (1D) non-linear Shallow Water Equations (SWEs) is known to produce four potential wave patterns for the scenario where the ...

Abstract: This paper presents the modeling and analysis of eddy current speed sensors for linear speed measurement of rectangular nonmagnetic bars. A novel 3D computational method is developed to ...

Abstract: This paper proposes an adaptive finite-time sliding optimal tracking control (AFSOTC) for uncertain linear systems by combining finite-time optimal tracking with integral sliding mode ...

Fortran90 Computational Fluid Dynamics (CFD) code designed to solve the 3D Navier-Stokes equations for incompressible flow using a high-order finite difference method A 2D incompressible Navier-Stokes ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

In numerous physical and biological systems, differential equations with parameters are commonly used to model specific behaviors or phenomena. These parameters frequently represent physical ...

ABSTRACT: ADER-WAF methods were first introduced by researchers E.F. Toro and V.A. Titarev. The linear stability criterion for the model equation for the ADER-WAF schemes is C CFL ≤1 , where C CFL ...

A new approach in the finite difference framework is developed, which consists of three steps: choosing the dimension of the local approximation subspace, constructing a vector basis for this subspace ...