Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential ...

The method we are going to use to solve our differential equation and thus the air-flow is what is called a finite-volume method. We view space as being broken down into a set of volumes each of which ...

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 ...

and related quasi-linear parabolic partial differential equations are proposed. The quasi-linear parabolic equation is solved by new layer methods which are constructed by means of a probabilistic ...

One-dimensional - Rectangle rule. - Trapezoidal rule. - Simpson's rule. - Gauss-Hermite (TODO) - Gauss-Laguerre (TODO) N-dimensional - Monte Carlo (TODO) - Sparse ...

The maximum principle induces an order structure for partial differential equations, and has become an important tool in nonlinear analysis. This book is the first of two volumes to systematically ...

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

Differential equations may improve training regimens and tournament design for bowlers.

Researchers have found an answer to a centuries-old floral mystery, using a mathematical model to explain how striped tulips ...