Abaqus/Standard, a general-purpose Finite-Element analyzer that employs implicit integration scheme (traditional).
Abaqus/Explicit, a special-purpose Finite-Element analyzer that employs explicit integration scheme to solve highly nonlinear systems with many complex contacts under transient loads.
In mathematics, a symplectic integrator (SI) is a numerical integration scheme for a specific group of differential equations related to classical mechanics and symplectic geometry.
Energy drift - usually damping - is substantial for numerical integration schemes that are not symplectic, such as the Runge-Kutta family.
The approach is associated to the classical DAE theory and leads to robust integration schemes.
Desharnais, F. and A. Robert, 1990 : Errors near the poles generated by a semi-Lagrangian integration scheme in a global spectral model.
Robert, A., 1982: A semi-implicit and semi-Lagrangian numerical integration scheme for the primitive meteorological equations.
Robert, A., 1981: A stable numerical integration scheme for the primitive meteorological equations.
These approaches can be used in combination with time-scale splitting (RESPA-based) integration schemes.
The unions representing the pilots, attendants and mechanics at American gave their blessings to the merger, but they must work out integration schemes with their T.W.A. counterparts.