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 ...

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

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 ...

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 ...

We study the classical linear partial differential equations: Poisson's equation and the heat equation. We learn about representation formulas for solutions, maximum principles, and energy estimates.

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 ...

In this paper we prove the uniform-in-time L2 L 2 convergence for the Fourier–Galerkin approximation to Yudovich solutions of the 2D Euler equations. Precisely, we show that both the approximating ...

Abstract A balanced-to-single-ended (BTSE) Wilkinson power divider of planar microstrip structure is proposed in this paper. It has a balanced input and two single-ended outputs. Cascade of a balun ...

UB Mathematics students can now download the pdf textbook for MTH 306, using the link on GitHub. Also available for download here. Physical copies of the new edition are available from Amazon.