A mathematician has developed new methods for the numerical solution of ordinary differential equations. These so-called multirate methods are highly efficient for large systems, where some components ...

Countless phenomena in various technological and scientific fields are formed by systems of ordinary differential equations. However for large systems of such equations, some components can exhibit ...

SIAM Journal on Numerical Analysis, Vol. 46, No. 5 (2008), pp. 2411-2442 (32 pages) This work proposes and analyzes an anisotropic sparse grid stochastic collocation method for solving partial ...

Researchers at the University of London have already expanded on the MIT researchers’ approach to develop a new quantum algorithm for solving differential equations. Early in their paper, they ...

This example solves a nonlinear system of equations by Newton's method. Let the nonlinear system be represented by ...

This is a preview. Log in through your library . Abstract In Part I of this paper [SIAM J. Numer. Anal., 25 (1988), pp. 1055-1073], a Riccati transformation method for solving linear boundary value ...

Sometimes, it’s easy for a computer to predict the future. Simple phenomena, such as how sap flows down a tree trunk, are straightforward and can be captured in a few lines of code using what ...

We were always taught that the fundamental passive components were resistors, capacitors, and inductors. But in 1971, [Leon Chua] introduced the idea of a memristor — a sort of resistor with memory.