Matthias Heinkenschloss

About

Matthias Heinkenschloss joined Rice University in 1996, where he is the Noah G. Harding Chair and Professor of Computational and Applied Mathematics. Prior to Rice, he served as an assistant professor at Virginia Polytechnic Institute and State University for three years and began his academic career at the University of Trier in Germany from 1988 to 1993. His research interests encompass the design and analysis of mathematical optimization algorithms for nonlinear, large-scale problems, with applications in science and engineering. His work includes large-scale nonlinear optimization, model order reduction, optimal control of partial differential equations (PDEs), optimization under uncertainty, PDE constrained optimization, iterative solution of KKT systems, and domain decomposition in optimization. Dr. Heinkenschloss’s research focuses on developing computationally efficient numerical algorithms for large-scale nonlinear optimization problems, particularly those governed by complex simulations involving differential equations and uncertainty. His approaches integrate optimization algorithms with underlying differential equations and their discretizations, enabling effective problem-solving in areas such as flow control, reservoir management, acoustic optimization, imaging, and shape optimization. His work addresses critical bottlenecks through linear system solvers and data-driven model reduction, aiming to extract decision-making information from complex simulations…

Research topics

• Computer Science
• Mathematics
• Statistics
• Artificial Intelligence
• Management
• Engineering
• Economics
• Parallel computing
• Simulation
• Algorithm

Selected publications

• A fast and accurate domain decomposition nonlinear manifold reduced order model

  Computer Methods in Applied Mechanics and Engineering · 2024 · 28 citations

  Senior authorCorresponding
  PublisherOA PDFDOI

• Adaptive Reduced-Order Model Construction for Conditional Value-at-Risk Estimation

  SIAM/ASA Journal on Uncertainty Quantification · 2020 · 18 citations

  1st authorCorresponding

  Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 22 April 2019Accepted: 19 February 2020Published online: 05 May 2020Keywordsreduced-order models, risk measures, Conditional Value-at-Risk, estimation, sampling, uncertainty quantificationAMS Subject Headings35R60, 62H12, 65G99, 65Y20Publication DataISSN (online): 2166-2525Publisher: Society for Industrial and Applied MathematicsCODEN: sjuqa3

  DOI

• Parastillation and metastillation applied to bioethanol and neutral alcohol purification with energy savings

  Chemical Engineering and Processing - Process Intensification · 2021-02-15 · 14 citations

  article
  PublisherDOI

• A new unified model to simulate columns with multiple phase divisions and their impact on energy savings

  Computers & Chemical Engineering · 2020 · 12 citations

  PublisherDOI

• Simultaneous Design and Trajectory Optimization for Boosted Hypersonic Glide Vehicles

  2024-01-04 · 9 citations

  article

  This manuscript describes a methodology for simultaneous vehicle and trajectory optimiza- tion of a hypersonic glide vehicle. The co-design problem is formulated as an optimization problem with constraints including vehicle dynamics, path constraints (e.g., surface heating), and other constraints. The discretized optimization problem is solved simultaneously in the vehicle design parameters, the state variables, and the controls using an interior point method. Gaussian process (GP) surrogates, w…

  PublisherDOI

Recent grants

• ITR/AP COLLABORATIVE RESEARCH: Real Time Optimization for Data Assimilation and Control of Large Scale Dynamic Simulations

  NSF · $556k · 2001–2007

• Numerical Solution of Constrained Optimization Problems Governed by Partial Differential Equations with Uncertain Parameters

  NSF · $210k · 2015–2019

• Collaborative Research: Reduced Order Model Approaches for Time Dependent Nonlinear PDE Constrained Optimization

  NSF · $150k · 2011–2015

Frequent coauthors

• S. Scott Collis

  13 shared

• Georg Stadler

  12 shared

• Emmanuel Trélat

  Laboratoire Jacques-Louis Lions

  12 shared

• Dante Kalise

  12 shared

• Kaveh Ghayour

  Chevron (Netherlands)

  12 shared

• Roland Herzog

  12 shared

• Denis Ridzal

  10 shared

• Karl Kunisch

  9 shared

Education

• Dr. rer. nat., Mathematik

  Universität Trier

  1991

• Diplom, Mathematik

  University of Trier

  1988

Awards & honors

• 2016: Mercator Fellow, Research Training Group on Algorithmi…

Similar researchers at Rice University

• Shiqian Mah-38
• Andrew J. Schaeferh-36
• Beatrice Riviereh-35