Applied Mathematics
ASCR Applied Mathematics supports basic research leading to fundamental mathematical advances and computational breakthroughs across DOE and SC missions. Basic research in scalable algorithms and mathematical libraries, multiscale and multi-physics modeling, scientific artificial intelligence (AI) / machine learning (ML), and efficient analysis of massive data sets underpin all of DOE’s computational and data-intensive science efforts.
Key activities include support for foundational research in:
- Problem formulation
- Multiscale modeling and multiphysics coupling
- Mesh discretization
- Time integration
- Advanced solvers for large-scale linear and nonlinear systems of equations
- Methods that use asynchrony or randomness
- Uncertainty quantification
- Numerical optimization
- Mathematical methods for scientific AI/ML
Advances in such methods have historically contributed as much, if not more, to gains in computational science than hardware improvements alone. Forward-looking efforts by applied-mathematics research anticipate DOE mission needs from the closer coupling and integration of scientific modeling, data, and scientific AI/ML with advanced computing. These efforts enable greater capabilities for scientific discovery, design, and decision-support in complex systems and new algorithms to support data analysis at the edge of experiments and instruments and protect the privacy of sensitive datasets.
ASCR Funding
- FY2024: FY2024 Reaching a New Energy Sciences Workforce (RENEW): Funding Opportunity
- FY2024: Data Reduction for Science: Press Release, Award List, Funding Opportunity
- FY2024: Advancements in Artificial Intelligence for Science: Press Release, Award List, Funding Opportunity
- FY2024: Competitive Portfolios for Advanced Scientific Computing Research: Press Release, Award List, Lab Funding Opportunity
- FY2024: FY2024 Funding for Accelerated, Inclusive Research (FAIR): Funding Opportunity
- FY2024: Early Career Research Program: Press Release, Award List,Funding Opportunity
- FY2023: Advanced Scientific Computing Research for DOE User Facilities: Press Release, Award List, Lab Funding Opportunity
- FY2023: Scientific Machine Learning for Complex Systems: Press Release, Award List, Funding Opportunity
- FY2023: Advanced Scientific Computing Research – Reaching a New Energy Sciences Workforce (ASCR-RENEW): Press Release, Award List, Funding Opportunity
- FY2023: FY2023 Funding for Accelerated, Inclusive Research (FAIR): Press Release, Award List, Funding Opportunity
- FY2023: Early Career Research Program: Press Release, Award Abstracts, Funding Opportunity
- FY2022: Randomized Algorithms for Combinatorial Scientific Computing: Press Release, Award List, Funding Opportunity
- FY2022: EXPRESS: 2022 Exploratory Research for Extreme-Scale Science: Press Release, Award List, Funding Opportunity
- FY2022: 2022 Mathematical Multifaceted Integrated Capability Centers (MMICCs): Press Release, Award List, Funding Opportunity
- FY2022: Early Career Research Program: Press Release, Award Abstracts, Funding Opportunity
- FY2021: Bridge2AI and Privacy Preserving Artificial Intelligence Research: Press Release, Award List, Lab Funding Opportunity
- FY2021: Data Science for Reduction: Press Release, Award List, Funding Opportunity
- FY2021: EXPRESS: Randomized Algorithms for Extreme-Scale Science: Press Release, Award List, Funding Opportunity
- FY2021: Data-Intensive Scientific Machine Learning and Analysis: Press Release, Award List, Funding Opportunity
- FY2021: Early Career Research Program: Press Release, Award Abstracts, Funding Opportunity
- FY2020: Artificial Intelligence and Decision Support for Complex Systems: Press Release, Award List, Funding Opportunity, Lab Funding Opportunity
- FY2020: Scientific Machine Learning for Modeling and Simulations: Press Release, Award List, Funding Opportunity, Lab Funding Opportunity
- FY2020: Early Career Research Program: Press Release, Award Abstracts, Funding Opportunity, Lab Funding Opportunity
- FY2019: Scientific Machine Learning and Artificial Intelligence: Uncertainty Quantification: Press Release, Award List, Funding Opportunity, Lab Funding Opportunity
- FY2019: Early Career Research Program: Press Release, Award Abstracts, Funding Opportunity, Lab Funding Opportunity
- FY2018: 2018 Mathematical Multifaceted Integrated Capability Centers (MMICCs): Press Release, Award List, Funding Announcement, Lab Funding Announcement
- FY2018: Early Career Research Program: Press Release, Award Abstracts, Funding Announcement, Lab Funding Announcement
Award abstracts and information about awards made prior to FY2018 can be found here.
ASCR Workshops and Reports
- 2024 Workshop on Energy-Efficient Computing for Science (September 2024)
- 2024 Workshop on Analog Computing for Science (September 2024)
- 2024 Workshop on Neuromorphic Computing for Science (September 2024)
- Randomized Algorithms for Scientific Computing (RASC) (July 2021)
- Data Reduction for Science (April 2021)
- AI for Science: Report on the Department of Energy Town Halls on Artificial Intelligence for Science (February 2020)
- Data and Models: A Framework for Advancing AI in Science (December 2019)
- Workshop Report on Basic Research Needs for Scientific Machine Learning: Core Technologies for Artificial Intelligence (February 2019)
- ASCR Workshop on In Situ Data Management: Enabling Scientific Discovery from Diverse Data Sources (January 2019)
- Crosscut Report: Exascale Requirements Reviews (January 2018)
- Extreme Heterogeneity 2018: Productive Computational Science in the Era of Extreme Heterogeneity Report for DOE ASCR Basic Research Needs Workshop on Extreme Heterogeneity (January 2018)
Workshop and reports completed prior to FY2018 can be found here.
ASCR Meetings
- 2024 ASCR Applied Mathematics and MMICCs Principal Investigators Meeting
- 2019 ASCR Applied Mathematics Principal Investigators Meeting
- 2017 ASCR Applied Mathematics Principal Investigators Meeting
Other Notable Reports
- National Artificial Intelligence Research and Development Strategic Plan, 2023 Update (May 2023)
- Advanced Research Directions on AI for Science, Energy, and Security: Report on Summer 2022 Workshops (May 2023)
- National Strategy to Advance Privacy-Preserving Data Sharing and Analytics (March 2023)
- Basic Energy Sciences Network Requirements Review (Final Report) (November 2022)
- National Security Commission on Artificial Intelligence Final Report (October 2021)
- Pioneering the Future Advanced Computing Ecosystem: A Strategic Plan (November 2020)
- Office of Basic Energy Sciences Roundtable on Producing and Managing Large Scientific Data with Artificial Intelligence and Machine Learning (October 2020)
- Opportunities and Challenges from Artificial Intelligence and Machine Learning for the Advancement of Science, Technology, and the Office of Science Missions (September 2020)
- National Strategic Computing Initiative Update: Pioneering the Future of Computing (November 2019)
Applied Mathematics Program Managers:
Steven Lee
Foundations: Algorithms, Models and Data
[email protected]
Bill Spotz
Multiscale Mathematics
[email protected]