Dutch-sponsored mathematician Valeriu Savcenco has developed new methods for the numerical solution of ordinary differential equations. These so-called multirate methods are highly efficient for large ...

Solving Ordinary Differential Equations (ODEs) is an essential and very challenging computational problem in many areas of science and engineering like physics, biology, control system, and economics.

Across modern data-intensive disciplines, the union of numerical computation, statistics, and machine learning has become ...

This study presents an innovative numerical framework for addressing initial value problems (IVPs) in linear fractional Volterra–Fredholm integro-differential equations (FVFIDEs). The approach ...

Partial differential equations (PDE) describe the behavior of fluids, structures, heat transfer, wave propagation, and other physical phenomena of scientific and engineering interest. This course ...