| Jacob B. Schroder |
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|---|---|
| Associate Professor | |
| Dept. of Mathematics and Statistics | |
| MSC01 1115 | |
| University of New Mexico | |
| Albuquerque, NM 87131 | |
Email: jbschroder  unm  edu |
|
| Google Scholar: https://goo.gl/ra23po | |
| Office: SMLC 332 | |
| Phone: 505-277-4613 |
Education :: Research :: Software :: Synergy
Education and Positions
| Associate Professor | Dept. of Mathematics and Statistics, UNM | 2022-Present |
| Guest Professor | Dept. of Mathematics, University of Wuppertal | 2024-2025 |
| Assistant Professor | Dept. of Mathematics and Statistics, UNM | 2018-2022 |
| Computational Mathematician | Lawrence Livermore National Lab | 2013-2018 |
| Project lead for parallel-in-time with multigrid | ||
| Member scalable linear solvers group (hypre) | ||
| Postdoc | Lawrence Livermore National Lab | 2011-2013 |
| Under Dr. R. Falgout | ||
| Postdoc in Applied Math | University of Colorado, Boulder | 2010-2011 |
| Under Profs. T. Manteuffel and S. McCormick | ||
| Ph.D. in Computer Science | University of Illinois, Urbana-Champaign | 2004-2010 |
| Generalizing Smoothed Aggregation AMG | ||
| Under Prof. Luke Olson | ||
| Rotary Scholar | Technical University of Munich, Germany | 2003-2004 |
| B.S. in Computer Science-Math | Furman University | 1999-2003 |
Research
Areas: Computational science, numerical analysis, and high-performance parallel computing
Keywords: Multigrid, scientific machine learning, randomization, parallel-in-time, numerical linear algebra
Directions:
- Parallel-in-time algorithms for large-scale simulations
- Parallel artificial neural network training algorithms for stochastic optimization, using multigrid concepts
- Generalized algebraic multigrid with adaptivity (randomization) and better coarsening and interpolation
- Communication-reducing algorithms for parallel algebraic multigrid
- Numerical software design targeting parallelism, portability, speed, reproducibility, and ease-of-use
Research Group
- Dane Laufer (PhD student). Research area: Energy-Minimization Parallel AMG for Systems of Partial Differential Equations.
- Dr. David Vargas (graduated). Thesis title: Parallel Multigrid in Time for Chaotic Dynamical Systems, Summer 2024. Currently, John Von Neumann Postdoc at Sandia National Laboratories.
- Dr. Ahsan Ali (graduated). Thesis title: Algebraic Multigrid Methods for Nonsymmetric and Indefinite Problems: Theory and Applications, Spring 2025. Starting Fall 2026 as Assistant Professor at University of Southern Mississippi.
- Nate Bianco (Masters graduated). Robust Prediction of Charpy Toughness of Additively Manufactured Kovar from Fractography Using Deep Convolutional Neural Networks, Spring 2024. Currently, PhD student in Materials Science and Engineering, The Ohio State University.
- Gary Saavedra (Masters graduated). Multigrid Optimization for Neural Networks, Spring 2023. Currently, scientific staff member at Los Alamos National Laboratory.
- Jonathan Gutierrez (Masters graduated). Using Physics Informed Neural Networks for Multigrid in Time Coarse Grid Equations, Spring 2023. Currently in private industry.
- Masumi Sugiyama (Masters graduated). Optimal Relaxation Parameters for Multigrid Reduction in Time, Fall 2019. Later, earned PhD in Mathematics at University of Tennessee at Chattanooga.
- Nicholas Abel (Masters graduated). Multigrid Reduction in Time and Asymptotic Approximations for the Shallow Water Equations, August 2020. Later, went on to Barcelona Supercomputing Center and is now in private industry..
Research Funding since at UNM
- Tim Wildey (Sandia) PI, UNM Co-PI: J. B. Schroder, UNM Co-I: J. Chaudhary, M. Motamed, P. Bridges, A. Bienz, ASCEND: Applied-mathematics and Scientific Computing Ecosystem for the New Digital Era. DOE Office of Science Base Program. $150K/year to UNM, 2025-2029.
- J. B. Brannick and J. B. Schroder PIs, Collaborative Research: Parallel Space-Time Solvers for Systems of PDEs. NSF DMS 2110917. $250K total, $152K total to UNM, 7/2021-5/2025.
- R. D. Falgout PI, Co-PI: J. B. Schroder, Parallel Multigrid in Time and Space for Extreme-Scale Computational Science. DOE Office of Science Base Program. $1,350K total, $210K total to UNM, 10/2020-9/2023.
- J. B. Schroder PI, Co-PI: J. Chaudhry, Multigrid-Reduction-in-Time for the Shallow Water Equations. DOE/Lawrence Livermore National Laboratory. $50K total to UNM, 1/2020-8/2020.
- J. B. Schroder PI, Co-PI: J. Chaudhry, Parallel-in-Time Multigrid Methods for Hyperbolic Problems, with a Focus on the Shallow Water Equations. DOE/Lawrence Livermore National Laboratory. $70K total to UNM, 1/2019-1/2020.
Conference Funding
- B. Ong PI, Co-PI: J.B. Schroder, Parallel Time Integration Summer School. Michigan Tech, Houghton, Michigan, June 2022. NSF CBMS Conference Award 1933342, $37K total.
- B. Ong PI, Co-PI: J.B. Schroder, Parallel-in-Time Workshop. Michigan Tech, Houghton, Michigan, August 2021. NSF Conference Award 1945322, $25K total. Canceled and moved online due to COVID-19.
Software
-
I am one of two lead developers for
XBraid,
an open source C/MPI implementation of the multigrid reduction in time
(MGRIT) methodology. It is a non-intrusive, scalable, and parallel
library for multigrid in time, with interfaces for C++, Fortran, and Python.
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I am a co-developer for
PyAMG, an open source
Python/C++ implementation of both classical algebraic multigrid and
smoothed aggregation-based algebraic multigrid. PyAMG has had thousands of
downloads from over a hundred countries.
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I am a collaborator for
hypre,
an open source benchmark library of high-performance preconditioners from Lawrence Livermore
National Lab that features parallel multigrid methods for both structured and
unstructured grid problems. Hypre has had thousands of downloads from
over a hundred countries.
>
Synergistic Activities
| 2023-Present | Associate editor for SISC (SIAM Journal on Scientific Computing) | |
| 2026-2027 | Guest editor in charge for SISC Special Issue for Colorado (Copper) Conference on Iterative and Multigrid Methods. | |
| 2025-2026 | Guest editor for Electronic Transactions in Numerical Analysis (ETNA), Multigrid Special Issue. | |
| 2022-Present | Scientific committee for the Colorado (Copper) Conference on Iterative and Multigrid Methods. | |
| 2019-Present | Scientific committee for the AMG Summit Workshop Series. | |
| 2015-2023 | Scientific committee for the Parallel-in-Time (PINT) Workshop Series. | |
| 2022 | Local organizer for the 25th AMG Summit, Taos, NM, Oct 2022. | |
| 2021 | Organizing committee for the 10th Parallel-in-Time Workshop. Held online due to COVID-19, Aug 2021. | |
| 2020-21 | Proceedings Editor for the 9th Parallel-in-Time Workshop, Proc. in Math. and Stat., Springer. | |
| 2020 | Organizing committee for the 9th Parallel-in-Time Workshop. Held online due to COVID-19, June 2020. | |
| 2019 | Local Organizer for the 22nd AMG Summit, Santa Fe, NM, Oct 2019. | |
| 2017 | Organizing committee for the 6th Parallel-in-Time Workshop, Monte Verita, Switzerland, 2017. | |
| 2016-2017 | Proceedings Editor for the 5th Parallel-in-Time Workshop, Comput. Vis. Sci., Springer. | |
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| Memberships | SIAM, SIAG on Computational Science and Engineering | |
| Reviewer | SISC (SIAM J. Sci. Comput.), SINUM (SIAM J. Numer. Anal.), | |
| SIMAX (SIAM J. Matrix Anal. Appl.), NLAA (Numer. Linear Alg. Appl.), | ||
| ETNA (Elect. Trans. Numer. Anal.), | ||
| ACM TOMS (ACM Trans. Math. Software) | ||
| Invited Grant Reviewer | DOE Office of Science 2019, 2021, 2023 |