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

Faculty and Staff

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. 

Publications
Research Groups
Seminars

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Upcoming Events

Mar 19, 2024
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Contact Us

Contact Us

Department of Applied Mathematics

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

Phone: 831-656-2651

A MESSAGE FROM THE CHAIR, DISTINGUISHED PROF. FRANK GIRALDO 

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.   

In 2024, in my third year as chair of the Applied Mathematics department we continue to focus on improving the educational mission of the department which includes increasing our student numbers (which allows us to offer upper level graduate courses to the university at large) and support the three certificate programs.  Five Army students  arrived this summer that will then serve a two-year rotation at West Point as Math instructors. Two additional Navy students enrolled this year including one Bowman scholar and a PhD student who will go to Annapolis as a Permanent Military Professor (PMP) upon graduation.  The primary goal for this year is to form a solid transition plan for the next Chair of Applied Mathematics and to hire TT faculty to replenish our ranks and allow us to meet the mission.  

In 2023, in my second year as chair of Applied Mathematics, I continue to build on the past success of the department. As a service department, we have worked closely with the STEM-related departments that needed new courses (e.g. we created 3 new courses this year). We hired two additional lecturers in order to be able to meet the mission. This brings the   sum total to 10 tenure-track faculty, one Permanent Miltiary Professor (PMP), and 6 lecturers. We have been able to support two (of the three) certificates in Applied Mathematics and saw our second Navy student who will return to Annapolis as a mathematics instructor; we currently have one PMP situated at USNA already, with one Navy PhD student who will be a PMP in the Operations Research department at NPS upon graduation.  For the first time in my recollection, we had department funds to send a few of our faculty to conferences (some domestic and others international).

In 2022 as the new chair of the Applied Mathematics department, I recognized all  faculty that 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

Chief of Naval Research Honors NPS Fall Quarter Graduates
December 15, 2023
| MC2 Andrew Langholf
The Naval Postgraduate School (NPS) celebrated its 2023 Fall Quarter graduates on Dec. 15 during a ceremony at King Hall Auditorium. Rear Adm. Kurt J. Rothenhaus, Ph.D., Chief of Naval Research, served as the keynote speaker for 284 graduates, including 31 international students from 19 countries. Read more.

U.S. Marine Corps Maj. Gen. Roberta L. Shea, Legislative Assistant to the Commandant of the Marine Corps, commemorates the Naval Postgraduate School’s summer quarter graduates in King Hall, Sept. 22.

Marine General Offers Challenge to NPS Summer Quarter Graduates
September 22, 2023
| MC2 Janiel Adames
Emphasizing the power of collaboration and embracing the inevitable flux of change, the Naval Postgraduate School (NPS) celebrated its 2023 Summer Quarter graduates on Sept. 22 during a ceremony at King Hall Auditorium. U.S. Marine Corps Maj. Gen. Roberta L. Read more.

NPS graduate Vice Adm. John Mustin, Chief of Navy Reserve, congratulates 218 Winter Quarter graduates, including 19 international students from 15 countries, during the commencement ceremony in King Hall, March 24.

Chief of Navy Reserve Encourages NPS Winter Quarter Graduates
March 24, 2023
| MC2 James Norket
The Naval Postgraduate School (NPS) honored its 2023 Winter Quarter graduates during a commencement ceremony held in King Hall Auditorium, March 24. NPS alumnus Vice Adm. John Mustin, Chief of Navy Reserve, served as the keynote speaker for the event recognizing 218 graduates, including 19 international students from 15 countries. 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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