Compared to the conventional high-order staggered-grid finite-difference method (C-SFD), the time–space domain dispersion-relation-based high-order staggered-grid finite-difference method (TS-SFD) can ...

The code was entirely written by myself and may be difficult to read and reproduce. It is currently used solely for storage and demonstration purposes. After ...

In this tutorial, I demonstrate how to solve boundary value differential equations using the Finite Difference Method in Python. Learn step-by-step how to implement this numerical technique, ...

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 ...

Abstract: This manuscript proposes a general parallel directsolver framework to parallelize and accelerate the implicit numerical simulation of wave propagation. To illustrate the concept, 1D implicit ...

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 ...

Research continues to indicate how imperative it is for us to start protecting our memory earlier in life. But when it comes to implicit vs. explicit memory, what’s the difference? Why are they ...

Solution of nonlinear two-point boundary-value problems is often an extremely difficult task. Quite apart from questions of reality and uniqueness, there is no established numerical technique for this ...

Basic Computational Fluid Dynamics (CFD) schemes implemented in FORTRAN using Finite-Volume and Finite-Difference Methods. Sample simulations and figures are provided.