Dynamical systems and differential equations form the backbone of many modern scientific and engineering endeavours, providing a robust mathematical framework to understand how complex phenomena ...

Integrable systems and differential equations underpin a vast area of contemporary mathematical physics, where the synthesis of analytical techniques and geometric insight yields exact solutions to ...

The paper is intended to give a survey on the state-of-the-art of extrapolation methods for initial value problems in ordinary differential equation systems. All basic discretizations, which are ...

An intermediate level course in the analytical and numerical study of ordinary differential equations, with an emphasis on their applications to the real world. Exact solution methods for ordinary ...

Time-domain finite-difference (TDFD) method is the most dominant approach for seismic wavefield simulation. Due to the memory and computational cost of the computer, finite-difference (FD) simulations ...