Mathematical Systems & Solutions, Inc.

Mathematical Systems & Solutions, Inc., a woman-owned small business headquartered in Pasadena, California, specializes in computational electromagnetics and advanced modeling and simulation software. The company has established itself as a key provider of innovative technological solutions to the U.S. Department of Defense, with a particular focus on developing software capabilities for time-domain and electromagnetic coupling analysis. Since registering with the federal government in February 2002, the company has successfully secured multiple federal contract and grant awards totaling over $2.3 million, demonstrating its technical expertise and capacity to deliver mission-critical research and development capabilities.

Mathematical Systems & Solutions, Inc. has received three significant prime federal contracts from the Defense Advanced Research Projects Agency (DARPA), all centered on computational electromagnetics research and development. The company's first SBIR Phase I contract, awarded in March 2022 for $224,992, focused on developing software capabilities for time-domain and stochastic solutions to computational electromagnetic problems. This initial award led to a SBIR Phase II contract valued at $1,499,775, awarded in June 2023, which expanded the scope to rapid time-domain modeling of electromagnetic coupling with a completion date of June 5, 2025. Both SBIR contracts were set aside for total small business participation, reflecting DARPA's commitment to fostering innovation within the small business sector. Most recently, in October 2025, Mathematical Systems & Solutions, Inc. was awarded a $301,037 firm-fixed-price contract under DARPA's Embedded Entrepreneur Initiative, demonstrating the agency's confidence in the company's ability to transition its research innovations into operational defense capabilities by September 30, 2026.

Beyond its contract work, Mathematical Systems & Solutions, Inc. has demonstrated its research capabilities through a prime federal grant award from the Air Force Research Laboratory. In May 2021, the company received a project grant to develop efficient computational methods for electromagnetic simulation with application to remote-sensing over large-scale terrain, which was completed in October 2023. This grant award reflects the company's expertise in applying advanced computational techniques to solve complex electromagnetic challenges relevant to air and space defense operations. Together, the company's portfolio of SBIR contracts and Air Force Research Laboratory grant funding illustrates its strong position within the federal research and development ecosystem and its ongoing commitment to advancing computational electromagnetics capabilities for national defense purposes.