Ordinary differential equations (ODEs) are also called initial value problems because a time zero value for each first-order differential equation is needed. The following is an example of a ...

First-order systems are those which can be described by first-order differential equations. A common example is the RC circuit. You will need Adobe Acrobat Reader to ...

SIAM Journal on Numerical Analysis, Vol. 7, No. 1 (Mar., 1970), pp. 47-66 (20 pages) Linear one step methods of a novel design are given for the numerical solution of stiff systems of ordinary ...

Taiwanese Journal of Mathematics, Vol. 10, No. 4 (June 2006), pp. 963-975 (13 pages) We apply the two-scale convergence method introduced by G. Nguetseng and G. Allaire to study the homogenization of ...

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 ...