SIAM Journal on Numerical Analysis, Vol. 35, No. 4 (Aug., 1998), pp. 1684-1708 (25 pages) This paper introduces a general technique for the construction of multistep methods capable of integrating, ...

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 ...

The boundary element method (BEM) provides a robust framework for solving linear partial differential equations by transforming the problem domain into integrals over its boundary. This technique is ...

When it comes to figuring out what’s going on in distant solar systems, astrophysicists rely on a powerful set of mathematical tools called numerical integration methods – algorithms that calculate ...

The differential equation system is numerically integrated to obtain a solution for the derivative variables at each data point. The integration is performed by evaluating the provided model at ...

Optical systems employ a rich array of physical effects which are described by well-understood equations. However, for all but the simplest devices these equations are typically too complex to permit ...