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

Nov 15, 2024
Physics Colloquium

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.  Read more.  

 

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Department News

Retired Vice Adm. Ann Rondeau, president of NPS, congratulates U.S. Navy Lt. Dishan Romine during the NPS Summer Quarter graduation ceremony at King Hall on Sept. 27. Romine, who graduated with a Master of Science degree in Operations Research, is one of 202 new NPS alumni, including 27 international students representing 10 nations.

NPS Recognizes Latest Cohort of Summer Quarter Graduates
September 27, 2024
| MC2 Andrew Langholf
The Naval Postgraduate School (NPS) recognized the achievements of its 2024 Summer Quarter graduates during the school’s latest commencement ceremony on Sept. 27 at King Hall Auditorium. Dr. James Newman, acting vice president, provost and chief academic officer of NPS, provided the keynote remarks for the class of 202 graduates, including 27 international students from 10 countries. Read more.

Students from high schools in Salinas, Monterey and Pacific Grove were honored by NPS for their autonomous environmental monitoring solutions in the third annual Rapid Innovation Design Challenge. A total of 38 students representing nine teams from Monterey County schools participated in the competition. (Photo by MC2 Andrew Langholf)

STEM Design Challenge Students Create Autonomous Solutions to Monitor Water Quality, Environment
May 15, 2024
| Naval Postgraduate School Public Affairs
For the third year in a row, science students and teachers from Monterey County high schools came together to brainstorm local solutions to real-world issues during the Naval Postgraduate School (NPS) Rapid Innovation Design Challenge. 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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