A Substructure Synthesis Method with Nonlinear ROM Including Geometric Nonlinearities

Physics-based Sound Synthesis of Stringed Instruments Including Geometric Nonlinearities

Substructure Synthesis : A Controls Approach

Substructure synthesis from a controls perspective is considered. An eÆcient and computationally robust method for synthesis of substructures is developed. The method considers the interface forces/moments as control inputs and rede nes the synthesis problem in terms of obtaining a constant gain compensator which would ensure the connectivity requirements of the combined structure. Orthogonal s...

Substructure synthesis method for simulating large molecular complexes.

This paper reports a computational method for describing the conformational flexibility of very large biomolecular complexes using a reduced number of degrees of freedom. It is called the substructure synthesis method, and the basic concept is to treat the motions of a given structure as a collection of those of an assemblage of substructures. The choice of substructures is arbitrary and someti...

A Nonlinear Filtering Method for Geometric Subspace Tracking

We formulate the problem of tracking principal subspaces as a problem in nonlinear ltering. The subspaces are represented by their complex projection-matrices, and moving subspaces correspond to trajectories on the Grassmann man-ifold. Taking a Bayesian approach, we impose a smoothness prior on the subspace rotation. Combining ideas from importance sampling and sequential methods, we apply a re...

A MODIFIED STEFFENSEN'S METHOD WITH MEMORY FOR NONLINEAR EQUATIONS

In this note, we propose a modification of Steffensen's method with some free parameters. These parameters are then be used for further acceleration via the concept of with memorization. In this way, we derive a fast Steffensen-type method with memory for solving nonlinear equations. Numerical results are also given to support the underlying theory of the article.