Computational and Applied Mathematics

Highlights

A general state-based peridynamics model is developed to simulate transport of fluids in an arbitrary heterogeneous porous medium. The generality encompasses modeling of multiphase,…

Local-to-Nonlocal (LtN) coupling refers to a class of methods aimed at combining nonlocal and local modeling descriptions of a given system into a unified coupled representation. This allows to…

A framework is proposed for solving general convex quadratic programs (CQPs) from an infeasible starting point by invoking an existing feasible-start algorithm tailored for inequality-constrained…

We developed a Nonlinear Level-set Learning (NLL) method for dimensionality reduction in high-dimensional…

The connection between forward backward doubly stochastic differential equations and the optimal filtering problem is established without using the Zakai's equation. The solutions of forward…

The most efficient surrogate construction algorithms are carefully tailored towards the specific target model. The tailoring is commonly done on two levels, first selecting the general class of…

Several different approaches are proposed for solving fully implicit discretizations of a simplified Boltzmann-Poisson system with a linear relaxation-type collision kernel.  This system…

Toolkit for Adaptive Stochastic Modeling and Non-Intrusive ApproximatioN (TASMANIAN) is an ORNL developed open source library for high dimensional integration and interpolation based…