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1. Discrete Nonlinear Optimization: Modeling and Solutions via Novel Hardware and Decomposition Algorithms

   Online Presentations | 07 Feb 2024 | Contributor(s):: David E. Bernal Neira

   Optimization problems arise in different areas of Logistics, Manufacturing, Process Systems Engineering (PSE), and Energy Systems Engineering, and solving these problems efficiently is essential for addressing important industrial applications.Quantum computers have the potential to efficiently...

2. Range Decomposition: A Low Communication Algorithm for Solving PDEs on Massively Parallel Machines

   Online Presentations | 07 Feb 2016 | Contributor(s):: Tom Manteuffel

   The Range Decomposition (RD) algorithm uses nested iteration and adaptive mesh refinement locally before performing a global communication step. Only several such steps are observed to be necessary before reaching a solution within a small multiple of discretization error. The target application...