Computational Methods in Structural Dynamics

Computational Structural Dynamics of Proteins

Geometric Methods in Structural Computational Biology

Domain Decomposition Methods in Computational Fluid Dynamics

The divide-and-conquer paradigm of iterative domain decomposition or substructuring has become a practical tool in computational fluid dynamics applications because of its flexibility in accommodating adaptive refinement through locally uniform (or quasi-uniform) grids, its ability to exploit multiple discretizations of the operator equations, and the modular pathway it provides towards paralle...

Solution Methods In Computational Fluid Dynamics

Implicit finite difference schemes for solving two dimensional and three dimensional Euler and Navier-Stokes equations will be addressed. The methods are demonstrated in fully vectorized codes for a CRAY type architecture. We shall concentrate on the Beam and Warming implicit approximate factorization algorithm in generalized coordinates. The methods are either time accurate or accelerated non-...

Implicit Solution Methods in Computational Fluid Dynamics

A class of implicit finite difference schemes of the Beam and Warming approximate factorization type will be addressed. The development and analysis,of various aspects of this class of schemes will be given along with the motivations behind many of the choices. Various acceleration and efficiency modifications such as matrix reduction, diagonalization and flux split schemes will be presented. T...