Collection of methods for numerical analysis and scientific computing, including numerical root-finders, numerical integration, linear algebra, and data visualization. Created for APPM4600 at CU ...

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 ...

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, ...

The Royal Society Publishing has recently released a special compendium of articles based on a recent scientific discussion meeting with HPC Industry thought leaders. Entitled “Numerical algorithms ...

Abstract: Numerical integration methods based on Lie group theoretic geometrical approaches are extended to articulated multi-body systems with rigid body displacements belonging to the special ...