AKIL NARAYAN
Professor
Mathematics
RESEARCH INTERESTS
My research interests span numerical analysis, scientific computing, model reduction, data analysis, and machine learning. My projects include developing algorithms to numerically solve differential equations, to quantify and study uncertainty in forward and inverse problems, and optimization-based learning and exploration.
GRANTS
- EXTERNAL GRANT OR CONTRACTCollaborative Research: Unified Neural Operator (UNO): Towards Trustworthy Operator Learning for Scientific ApplicationsU.S. National Science Foundation1 Aug 2025 - 31 Jul 2026
- EXTERNAL GRANT OR CONTRACTMATH-DT: Mathematical underpinnings of population-based cardiac digital twinsU.S. National Science Foundation1 Aug 2025 - 31 Jul 2028
- EXTERNAL GRANT OR CONTRACTCERTANN: CONTINUOUS WIDE AND DEEP NEURAL NETWORKS FOR SCIENTIFIC MACHINE LEARNING4 Oct 2023 - 30 Sep 2026
- EXTERNAL GRANT OR CONTRACTNEW FRONTIERS IN THEORY, LEARNING, AND OPTIMIZATION FOR MODEL REDUCTION29 Sep 2023 - 28 Sep 2026
- EXTERNAL GRANT OR CONTRACTSTRUCTURE-PRESERVING ALGORITHMS FOR HYPERBOLIC BALANCE LAWS WITH UNCERTAINTY AND RELATED MODELS1 Jul 2022 - 30 Jun 2027
- EXTERNAL GRANT OR CONTRACTROBUST AND SCALABLE MULTI-FIDELITY ALGORITHMS FOR MODEL-BASED PREDICTIONS15 Sep 2020 - 14 Sep 2023
- EXTERNAL GRANT OR CONTRACTICERM SEMESTER PROGRAMBROWN UNIVERSITY1 Jan 2020 - 5 Jan 2020
- EXTERNAL GRANT OR CONTRACTCAREER: OPTIMAL APPROXIMATION ALGORITHMS IN HIGH DIMENSIONSNATIONAL SCIENCE FOUNDATION1 Aug 2019 - 31 Jul 2024
- EXTERNAL GRANT OR CONTRACTNURP: Stochastic inference and optimization for UUV guidance and controlUnited States Department of the Navy28 Jan 2019 - 27 Jan 2020People funded by this grant:
- NARAYAN A
- EXTERNAL GRANT OR CONTRACTDirectorate for Mathematical & Physical Sciences1 Aug 2017 - 31 Jul 2020People funded by this grant:
- Narayan A
- EXTERNAL GRANT OR CONTRACTNURP: Guidance and Positioning Algorithms for Unmanned Undersea Vehicle SwarmsUnited States Department of the Navy2 May 2017 - 22 Dec 2017People funded by this grant:
- NARAYAN A
- EXTERNAL GRANT OR CONTRACTOptimal and unstructured high-order non-intrusive approximations for uncertain parameterized simulationsUnited States Department of the Air Force30 Sep 2015 - 29 Sep 2018People funded by this grant:
- Narayan A
- EXTERNAL GRANT OR CONTRACTDirectorate for Mathematical & Physical Sciences30 Jun 2015 - 31 Jul 2017People funded by this grant:
- Narayan A