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.

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The Department of Applied Mathematics offers flexibility to the students on choosing their degrees, certificates, and courses

Degree Programs
Certificate Programs
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The Department of Applied Mathematics has a world-class faculty. Learn more about the department's Faculty and Staff here:

Emeritus Faculty

The department's research efforts can be grouped into three broad areas, as delineated below. These areas have considerable overlap and several faculty consider themselves associated with more than one group. 

Research Groups

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Department of Applied Mathematics

833 Dyer Road RM SP-250
Monterey, CA 93943-5164

Phone: 831-656-2206


Naval Postgraduate School Mathematics Department Chairman Dr. Frank Giraldo

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.   

As the new chair of the Applied Mathematics department, I must first recognize all of the faculty who have served in so many roles before me.  My predecessor, Wei Kang served as chair for the past three years until October 1, 2021.  Clyde Scandrett served as the Dean of the Graduate School of Engineering and Applied Science (GSEAS) for the past six years until June 30, 2021.  Ralucca Gera served for three years as the Associate Provost for Education until spring 2021.  I would also like to acknowledge our lecturer Gabriela Stanica who served as the Faculty Council representative until fall 2021; she still serves as the alternate.  David Canright served on the PhD committee until his retirement in fall 2021 and Chris Frenzen served for over a decade until fall 2021.  Finally, Beny Neta served as the program manager for the Scientific Computing certificate until his retirement in fall 2021. Thank you all for your service to the department and our students.

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Department News

Nearly 2,000 students, teachers and parent chaperones toured the Naval Postgraduate School campus, interacting with more than 40 STEM and service-inspired venues during the return of Discovery Day at NPS, May 13. The popular event gives the university an opportunity to inspire Central Coast students in the pursuit of the STEM disciplines.

Discovery Day at NPS Opens Campus to Central Coast Students
May 13, 2022
| MC2 Tom Tonthat
In a sight not seen for more than two years, nearly 2,000 students, teachers and parent chaperones from throughout the Central Coast descended upon the Naval Postgraduate School (NPS) for the return of Discovery Day at NPS, May 13, touring the university and interacting with the more than 40 inspirational Science, Technology, Engineering and Mathematics (STEM) venues set up around the campus. Read more.

Through programs like the Fulbright Scholarship and the DOD’s Engineer and Scientist Exchange, U.S. Navy Cmdr. Thor Martinsen, right, and Norwegian Scientist Dr. Tron Omland with the Norwegian National Security Authority have been collaborating on advanced cryptography research at NPS, and at the University of Bergen, Norway.

Partnerships Support Science, Research Exchange Between NPS, Norway
May 10, 2022
| MC2 Lenny Weston
Through the Department of Defense’s Engineer and Scientist Exchange Program, Naval Postgraduate School (NPS) Permanent Military Professor (PMP) U.S. Navy Cmdr. Thor Martinsen worked with respected cryptography expert and researcher Dr. Tron Omland of Norway’s National Security Authority (NSM). Read more.

Researchers in the NPS Department of Applied Mathematics are supporting an ambitious research effort to apply new approaches in high-fidelity computer modeling, including machine learning, that will take advantage of future computing capabilities and realize the potential for significant improvements in the accuracy of hurricane prediction.

NPS Research in Extreme Weather Prediction Prepares for Future Computing Capabilities
April 27, 2022
| Matthew Schehl
The Naval Postgraduate School (NPS) has received a major grant to explore a groundbreaking new way to model hurricanes and other extreme weather events.  The three-year grant from the Office of Naval Research, awarded in February, will allow mathematicians at NPS and the Naval Research Lab in Washington, D.C. Read more.

Faculty Publications

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An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases: Analysis, Algorithms, and Applications

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.

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.

Graph Theory Favorite Conjectures and Open Problems, Volume 2

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.

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