This book introduces the reader to solving partial differential equations numerically using element-based Galerkin methods. Various forms of Galerkin methods are described in detail, such as spectral element, discontinuous Galerkin, and hybridized discontinuous Galerkin methods. This book describes the methods used in the formulation of the NUMA (Nonhydrostatic Unified Model of the Atmosphere) model which was constructed in the Center for Computational Mathematics in the Department of Applied Mathematics of NPS.
Welcome - Applied Mathematics
The Department of Applied Mathematics has a multifaceted mission to provide an exceptional mathematical education focused on the unique needs of NPS students, to conduct relevant research, and to provide service to the broader community. A strong and vibrant Department of Applied Mathematics is essential to the university's goal of becoming a premiere research university.
Contact Us:
Department of Applied Mathematics
833 Dyer Road Room, SP-250
Monterey, CA 93943-5164
Phone: 831-656-2651
Asset Publisher
Upcoming Events
Jul 17, 2025
Jul 23, 2025
Jul 24, 2025
Jul 28, 2025 to Aug 1, 2025
Aug 11, 2025 to Aug 15, 2025
The Department of Applied Mathematics offers flexibility to the students on choosing their degrees, certificates, and courses, tayloring the course matrices to each student to meet indivudidual professional needs.
Degree Programs
Certificate Programs
Courses
Course Validation Policy
Degree Programs
Certificate Programs
Courses
Course Validation Policy
Student Success
Our Math Department has identified effective strategies to support student success in our Master's and PhD programs and is committed to continually exploring new ways to enhance this success.
Math Boost Camp
Math Acceleration Lab
Recent Graduates
Math Boost Camp
Math Acceleration Lab
Recent Graduates
Our department's research is a dynamic blend of three broad interwoven areas, showcasing the diverse expertise of our faculty. Explore our innovative research!
Publications
Research Groups
Seminars
Publications
Research Groups
Seminars
Discover the brilliance of our world-class faculty in the Department of Applied Mathematics and dive into their inspiring achievements!
Faculty and Staff
Faculty Awards
Past Department Chairs
Faculty and Staff
Faculty Awards
Past Department Chairs
A MESSAGE FROM THE CHAIR, PROF. RALUCCA GERA
The focus of the Applied Math department is to educate officers to learn how to think rigorously and logically; I cannot think of a better discipline that can serve this purpose. As a service department, we have the privilege of educating many of the students that come through the doors of NPS and we take this responsibility seriously. The dedication of our
faculty to this mission facilitates taking students with diverse educational backgrounds to complete a Masters degree in STEM-related fields in a short turn-around time.
Departmental News
Prof. Wei Kang is part of the 2025 Class of SIAM Fellows
Wei Kang
Wei Kang
Mar 27 2025
SIAM (Society for Industrial and Applied Mathematics) has announced the 2025 Class of SIAM Fellows, celebrating distinguished members who have made significant contributions to the fields of applied mathematics, computational science, and data science. Prof. Wei Kang's inclusion in this distinguished list highlights their dedication and impactful work in our field.
Read more.
Change of Command Ceremony -- CAPT Thor Martinsen
Change of Command Ceremony CAPT Thor Martinsen
Change of Command Ceremony CAPT Thor Martinsen
Oct 16 2024
Congratulations to Associate Professor and Navy Captain Thor Martinen for completing a highly successful assignment as the Dean of Students and Commanding Officer of NPS students. Throughout his tenure, Thor has been an unwavering pillar of support for the NPS student body. His exceptional leadership, mentorship, and keen focus on student outcomes has had a profoundly positive impact on their academic studies and professional careers. We extend our heartfelt gratitude for his service, welcome him back to our faculty ranks, and wish him continued success in his new leadership role as Associate Provost (Academic Affairs).
Read more.
Schiefflin Award -- Prof. Ralucca Gera
Prof. Ralucca Gera receives NPS Schiefflin Award
Prof. Ralucca Gera receives NPS Schiefflin Award
Sep 18 2024
Congratulations to Professor Ralucca Gera on receiving the prestigious Schieffelin Award for Excellence in Teaching at NPS as the school's most outstanding faculty instructor! The annual winner joins a long list of other faculty members selected each summer as the "best-of-the-best" at the Navy's University. This is a remarkable achievement and a testament to Prof Gera's dedication and excellence, and the impact her teaching has on current and recent alumni students. Prof. Gera's hard work and contributions have truly made a significant impact, and this award is well-deserved!
Read more.
Faculty Publications
Asset Publisher
Security and Privacy
The book is focused on the state-of-the-art developments of network security, secure cryptographic protocols, post-quantum cryptography, quantum cryptography, blockchains and cryptocurrency, IoT security and privacy, cloud security, machine learning in cybersecurity, and other disciplines related to security and privacy. In this book, a wide variety of basic security primitives are discussed along with recent developments in some advanced topics like functional encryption, two-party/multi-party computation, bitcoin, cryptocurrency, and post-quantum security.
Prof. Ralucca Gera's 2nd volume of Graph Theory: Favorite Conjectures ad Open Problems. This volume describes the origin and history behind conjectures and problems in graph theory, provides various methods to solving research problems in the field and provides strong pedagogical content for graduate students and a reference to researchers in the field.
Students' Perspective
"Studying in the Applied Math Department at NPS was one of the highlights of my career. The combination of interesting research projects with dedicated and supportive faculty was incredible. There are tremendous opportunities waiting for the next group of officers headed to Monterey, and if I was to start my career all over again I would aim to be one of them."
-CDR Aaron Geary
M.S. in Applied Mathematics 2009, Ph.D. in Applied Mathematics 2022.
Visit us on Social Media
Web Content Display (Global)