Numerical integration methods for large-scale biophysical simulations

Numerical integration methods for large-scale biophysical simulations

Simulations of biophysical systems inevitably include steps that correspond to time integrations of ordinary differential equations. These equations are often related to enzyme action in the synthesis and destruction of molecular species, and in the regulation of transport of molecules into and out of the cell or cellular compartments. Enzyme action is almost invariably modeled with the quasi-s...

Adaptive Numerical Methods for Large Scale Simulations and Data Assimilation

Numerical simulation is necessary to understand natural phenomena, make assessments and predictions in various research and engineering fields, develop new technologies, etc. New algorithms are needed to take advantage of the increasing computational resources and utilize the emerging hardware and software infrastructure with maximum efficiency. Adaptive numerical discretization methods can acc...

Large Scale Parallel Numerical Integration

We present and analyze strategies which can be used for the parallel computation of large numbers of integrals which may be of diierent levels of diiculty. Paralleliza-tion on the integral level, which is generally used for large numbers of integrals, is combined with parallelization on the subregion level, which enables handling local integration diiculties within individual problems. This res...

Numerical Methods for Large-Scale Dynamic Economic Models

Numerical Methods for Large Scale Moving Horizon Estimation and Control

Abstract: Both the linear moving horizon estimator and controller may be solved by solving a linear quadratic optimal control problem. A primal active set, a dual active set, and an interior point algorithm for solution of the linear quadratic optimal control problem are presented. The major computational effort in all these algorithms reduces to solution of certain unconstrained linear quadrat...