Stochastic differential equations (SDEs) provide a mathematical framework for systems subject to both deterministic forces and random perturbations, and they underpin models in fields ranging from ...

In the present work, we study a family of nonlinear fractional dynamical systems and propose a numerical procedure based on the power series iterative method (PSIM). The proposed framework is based on ...

Researchers have extended the interpolative dynamical low-rank approximation to quantized tensor trains, enabling higher ...

This resource introduces second-order differential equations, focusing on both numerical and analytical methods of solution. Students explore how second-order systems arise in modeling physical ...

Introductory course on using a range of finite-difference methods to solve initial-value and initial-boundary-value problems involving partial differential equations. The course covers theoretical ...

Clear explanations, worked examples, and visual phase diagrams connect linear algebra with differential equations and dynamic modelling. The resource is ideal for classroom teaching, revision, exam ...