Department of Mathematical Statistics and Differential Equations, Ivan Franko National University of Lviv, Lviv, Ukraine Problems without initial conditions for evolution equations and variational ...

Abstract: It is a known fact that mathematics, computational science, and engineering all heavily rely on the numerical solution of initial value problems. In this study, an explicit one- strategy to ...

Abstract: The paper concerns the existence, uniqueness, and regularity of weak solutions to initial value problems for semilinear second-order partial differential equations on spheres are considered.

A buzzed-about round of 16 matchup between Manchester United and Paris St.-Germain was the result of a mistake. P.S.G. will face Real Madrid instead. By Victor Mather Follow live updates of the UEFA ...

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.

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

This paper mainly presents Euler method and fourth-order Runge Kutta Method (RK4) for solving initial value problems (IVP) for ordinary differential equations (ODE). The two proposed methods are quite ...