This is a collection of C++ (and one Python) files implementing basic numerical methods. The project includes algorithms for integration, interpolation, root-finding, polynomial evaluation, and ...

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, ...

Abstract: Numerical algorithm for integration in method of boundary elements is proposed. The method is applied for different basis functions of different orders and results are discussed.

This paper deals with elliptic integrals of first and second kind and their solution by Landen-transformation. It is explained how the Landen-transformation works and how the different algorithms can ...

Abstract: In this paper, new numerical integration algorithms with artificial damping effect are proposed which can be applied to the constant, pure PTA method to find DC operating points of nonlinear ...

High-fidelity simulations of dynamic embedded systems can be invaluable. This follow-up to “Modeling Dynamic Systems” (August 2000) presents some techniques and algorithms you might find useful. In a ...

Most continuous mathematical formulations arising in science and engineering can only be solved numerically and therefore approximately. We shall always assume that we're dealing with a numerical ...