- Applied Mathematics (MA)

## Organization: Applied Mathematics (MA)

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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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Publication Chaotic keystream generators for additive stream ciphers(Monterey, California. Naval Postgraduate School, 1993) Leader, Jeffery J.; Applied Mathematics (MA); Graduate School of Engineering and Applied Science (GSEAS); MathematicsShow more We survey some current research concerning the generation of random and pseudorandom keystreams for use in cryptographic stream ciphers, including the use of chaotic discrete dynamical systems.Show more Publication A very compact Rijundael S-box(Monterey, California. Naval Postgraduate School, 2012-12-01) Canright, David; Applied Mathematics (MA); Graduate School of Engineering and Applied Science (GSEAS)Show more Publication The (In)complete compendium of computational curiosities : Givens' rotations(Monterey, California. Naval Postgraduate School, 1995) Borges, Carlos F.; Applied Mathematics (MA); Graduate School of Engineering and Applied Science (GSEAS); Dept. of MathematicsShow more Publication Power iterations and the dominant eigenvalue problem(Monterey, California. Naval Postgraduate School, 1993) Leader, Jeffery J.; Applied Mathematics (MA); Graduate School of Engineering and Applied Science (GSEAS); MathematicsShow more The orbits of an iterative numerical method for the dominant eigenvalue problem are analyzed from a discrete dynamical systems perspective. It is shown that the method can extract more information than the standard power method but at greater computational cost.Show more Publication Finite element approximation of the shallow water equations on the MasPar(Monterey, California. Naval Postgraduate School, 1993) Neta, Beny; Thanakij, Rex; Applied Mathematics (MA); Graduate School of Engineering and Applied Science (GSEAS); Applied MathematicsShow more Here we report on development of a high order finite element code for the solution of the shallow water equations on the massively parallel computer MP-1104. We have compared the parallel code to the one available on the Amdahl serial computer. It is suggested that one uses a low order finite element to reap the benefit of the massive number of processors available.Show more Publication Report of the external review committee for the Department of Applied Mathematics, Naval Postgraduate School including Departmental response to the report of the external review committee (9 July 2009)(Monterey, California, Naval Postgraduate School, 2010-06-22) Mangel, Marc; Horton, Steve; Price, Geoffrey; Applied Mathematics (MA); Graduate School of Engineering and Applied Science (GSEAS); Applied MathematicsShow more Publication Chromatic numbers of competition graphs(Monterey, California. Naval Postgraduate School, 1993) Merz, Sarah K.; Rasmussen, Craig W.; Lundgren, J. Richard; Applied Mathematics (MA); Graduate School of Engineering and Applied Science (GSEAS); MathematicsShow more Previous work on competition graphs has emphasized characterization, not only of the competition graphs themselves but also of those graphs whose competition graphs are chordal or interval. The latter sort of characterization is of interest when a competition graph that is easily colorable would be useful, e.g. in a scheduling or assignment problem. This leads naturally to the following question: Given a graph F, does the structure of G tell us anything about the chromatic number X of the competition graph C(G)? We show that in some cases we can calculate this chromatic number exactly, while in others we can place tight bounds on the chromatic number.Show more Publication Showcase of subroutines in True BASIC(Monterey, California. Naval Postgraduate School, 1997-04-01) Hershey, Allen V.; Applied Mathematics (MA); Graduate School of Engineering and Applied Science (GSEAS)Show more On the mainframe there is a library of subroutines for mathematical physics. Many of the subroutines have been translated from FORTRAN into classic BASIC. They make a showcase of subroutines which compute special functions interpolate data and do matrix arithmetic. The showcase is under the control of True BASIC on a Macintosh Classic II computer from which it can be distributed on disk to other computersShow more Publication The curvature of plane elastic curves(Monterey, California. Naval Postgraduate School, 1993) Brunnett, Guido; Applied Mathematics (MA); Graduate School of Engineering and Applied Science (GSEAS); MathematicsShow more In this paper plane elastic curves are revisited from a viewpoint that emphasizes curvature properties of these curves. The family of elastic curves is considered in dependence of a tension parameter Sigma and the squared global curvature maximum K2/m. It is shown that for any elastic curve K2/m is bigger than the tension parameter Sigma. A curvature analysis of the fundamental forms of the elastic curves is presented. A formula is established that gives the maximum turning angle of an elastica as a function depending on K2/m and Sigma. Finally, it is shown that an elastic curve can be represented as a linear combination of its curvature, arc length and energy function and that any curve with this property is an elastic.Show more Publication Buckling of ship grillages(Monterey, California. Naval Postgraduate School, 1996-09) Danielson, D. A. (Donald A.); Kihl, David P.; Applied Mathematics (MA); Graduate School of Engineering and Applied Science (GSEAS); MathematicsShow more