We present an efficient nonconformal-mesh discontinuous Galerkin (DG) method for elastic wave propagation in viscous media. To include the attenuation and dispersion due to the quality factor in time ...

Abstract A long-standing fundamental open problem in mathematical fluid dynamics and nonlinear partial differential equations is to determine whether solutions of the 3D incompressible Euler equations ...

This method was used several times for investigation of micro and nano structures. Civalek et al [5] applied the differential quadrature method to the equations of motion and bending of ...

We identify primal and dual formulations in the finite element method (FEM) solution of the vector wave equation using a geometric discretization based on differential forms. These two formulations ...

Python Implementation of Ordinary Differential Equations Solvers using Hybrid Physics-informed Neural Networks This repository is provided as a tutorial for the implementation of integration ...

This paper introduces a new class of numerical schemes for the pathwise approximation of solutions of stochastic differential equations (SDEs). The proposed family of strong predictor–corrector Euler ...

euler-method fractional-brownian-motion random-ordinary-differential-equations strong-convergence-order ito-noise jump-discontinuous-noise semi-martingale Updated 2 weeks ago TeX ...