The course provides a thorough introduction to design, analysis (both theoretical and empirical), and programming of difference and elemental methods to solve differential equations. In addition, the ...

Department of Mathematics, Universidad Tecnológica de Pereira, Pereira, Colombia. Department of Physics, Universidad Tecnológica de Pereira, Pereira, Colombia.

The course provides a thorough introduction to design, analysis (both theoretical and empirical), and programming of difference and elemental methods to solve differential equations. In addition, the ...

As an example, a method is proposed for “parallelizing” the numerical integration of an ordinary differential equation, which process, by all standard methods, is entirely serial.

An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physics-informed machine learning and ...

Ivanova, Tsvetelina I. 2021. Dynamics of flows of a substance in a channel with a branch. Vol. 2321, Issue. , p. 030014.

py-pde is a Python package for solving partial differential equations (PDEs). The package provides classes for grids on which scalar and tensor fields can be defined. The associated differential ...

Quite recently, several authors have tried to solve the problem of obtaining exact or approximate solutions of the Dirac equation for a number of special potentials using different methods [6-20].

To facilitate planning in such operational conditions, this paper proposes a dynamic modeling method to assess energy consumption and the voltage of traction power supply system (TPSS), and a ...

The development and analysis of algorithms for approximating solutions to mathematical problems. Topics covered include: approximating functions, finding roots, approximating derivatives and integrals ...