The Baltic Sea salinity is modelled using a two-box model. The simplistic approach allows for very long integrations where a large part of the phase space of the model can be probed. Particular ...

In this paper, the boundary value problems for second order singularly perturbed delay differential equations are treated. A generic numerical approach based on finite difference is presented to solve ...

Boundary value problems (BVPs) and partial differential equations (PDEs) are critical components of modern applied mathematics, underpinning the theoretical and practical analyses of complex systems.

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 ...

A new boundary-value technique is proposed for the treatment of initial-boundary-value problems for linear and mildly non-linear wave equations. Several illustrative examples are offered to ...

A planning consultant has recommended much of the 2,833 acres that will be added to Fayette County’s growth boundary in the coming years be used for residential areas. TSW Design, a consulting group ...

Abstract: Initial boundary-value problem for the homogeneous wave equation with dynamic boundary condition is considered in three-dimensional Lipschitz domain. The Kirchhoff's formula is used to ...

The method of stationary phase and the centred-difference approximation are used to generate the finite-difference scheme for solving Klein-Gordon equation in MATLAB. Solves initial value problem of ...

A library for solving differential equations using neural networks based on PyTorch, used by multiple research groups around the world, including at Harvard IACS.