SciMLBenchmarks.jl holds webpages, pdfs, and notebooks showing the benchmarks for the SciML Scientific Machine Learning Software ecosystem, including: Benchmarks of equation solver implementations ...

Mathematicians finally understand the behavior of an important class of differential equations that describe everything from water pressure to oxygen levels in human tissues. The trajectory of a storm ...

There have been countless predictions of the end of the world – one of the earliest on record dates from around 4,800 years ago, when a writer from ancient Assyria complained of a decline in morals in ...

Abstract: An exact method is presented for discretizing a constant-coefficient, non-square, matrix differential Riccati equation, whose solution is assumed to exist ...

Abstract: This paper discusses a novel method of exact discretization obtaining an equivalent difference equation whose solution is equal to the solution of a differential equation at discrete ...

MASA (Manufactured Analytical Solution Abstraction) is a library written in C++ (with C, python and Fortran90 interfaces) which provides a suite of manufactured solutions for the software verification ...

School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, China. Fractional differential equations have been widely used to describe complex problems in science ...