Numerical methods for differential and integral equations are indispensable in modern applied mathematics and engineering, offering tools to approximate complex physical phenomena where analytical ...

Some new stochastic Runge-Kutta (SRK) methods for the strong approximation of solutions of stochastic differential equations (SDEs) with improved efficiency are introduced. Their convergence is proved ...

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 ...

This paper presents a series of curves which are the results of some calculations of the reflecting properties of various models of the ionosphere for radio waves of frequency 16 kc/s. The method of ...

A reader sent in this question: “ Hi. I was wondering if you could help me figure out finding a complex root problem. If you could explain how it's done that would be great The simple, easy solution ...

The mean-reverting square root process is a stochastic differential equation(SDE) that has found considerable use as a model for volatility, interest rate, and other financial quantities. The equation ...