Our purpose is to develop a numerical tool for the study of photonic devices. The electrodynamic behavior of these systems can be efficiently characterized by their resonances but realistic materials have a strong time dispersive permittivity at optical frequencies and it therefore depends on the very frequency we are trying to compute via an ei...
Creator:
Nicolet, Andre (Aix-Marseille Université)
Created:
2016-12-15
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Published by order of the U.S. House of Representatives (Washington). "Reduced and compiled under the direction of Col. J.J. Abert in the Bureau of the Corps of Topl. Engrs.; by Lieut. W.H. Emory from the map published in 1842 and from other authorities in 1843; C.B. Graham's Lithy."; Map to accompany Report intended to illustrate a map of the h...
Creator:
Nicollet, J. N. (Joseph Nicollet), 1786-1843
Contributor:
Frémont, John Charles, 1813-1890; C.B. Graham's Lithography
Created:
1845
Contributed By:
University of Minnesota Libraries, John R. Borchert Map Library.
Relief shown by hachures.Mountains engraved by E. F. Woodward, Phila.Reduced and compiled under the direction of Col. J. J. Abert in the Bureau of the Corps of Topl. Engrs. by Lieut. W. H. Emory from the map published in 1842 and from other authorities in 1843. W. J. Stone, Sc.
Creator:
Nicollet, Joseph Nicolas, 1786-1843.
Contributor:
Frémont, John Charles, 1813-1890; Stone, William James, 1798-1865
Created:
1843
Contributed By:
University of Minnesota Libraries, John R. Borchert Map Library.
(Joint work with D. Peschka and A. Muench).We consider a simple model for line rupture of thin fluid films inwhich Trouton viscosity and van-der-Waals forces balance. For this model there exists a one-parameter family of second kind self-similarsolutions. We establish necessary and sufficient conditionsfor convergence to any self-similar solutio...
Creator:
Niethammer, Barbara (University of Oxford)
Created:
2009-03-26
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Approximations via conforming and non-conforming finite elements can be used to construct validated and computable bounds on eigenvalues for the Dirichlet Laplacian in certain domains. If these are to be used as part of a proof, care must be taken to ensure each step of the computation is validated and verifiable. In this talk we present a long-...
Creator:
Nigam, Nilima (Simon Fraser University)
Created:
2017-03-02
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The vortex sheet is a mathematical model for a shear layerin which the layer is approximated by a surface. Vortexsheet evolution has been shown to approximate the motionof shear layers well, both in the case of free layers andof separated flows at sharp edges.Generally, the evolving sheets develop singularitiesin finite time. To approximate the ...
Creator:
Nitsche, Monika (University of New Mexico)
Created:
2010-02-22
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Letter to Stefan Korbonski, Assembly of Captive European Nations, written by Vice-President Richard M. Nixon, Washington, D.C. discussing his upcoming trip to Russia.
Creator:
Nixon, Richard M. (Richard Milhous), 1913-1994
Created:
1959-07-08
Contributed By:
University of Minnesota Libraries, Immigration History Research Center Archives.
Letter to Vasil Germenji, Chairman, Assembly of Captive European Nations, written by President Richard M. Nixon, Washington, D.C. on safety for refugees.
Creator:
Nixon, Richard M. (Richard Milhous), 1913-1994
Created:
1970-12-30
Contributed By:
University of Minnesota Libraries, Immigration History Research Center Archives.
Telegram addressed to August Vestmanis, American Latvian Association representative, from President Richard Nixon encouraging his vote on Election Day, November 7, 1972.
Creator:
Nixon, Richard M. (Richard Milhous), 1913-1994
Created:
1972
Contributed By:
University of Minnesota Libraries, Immigration History Research Center Archives.
Increasingly, we face machine learning problems in very highdimensional spaces. We proceed with the intuition that althoughnatural data lives in very high dimensions, they have relatively fewdegrees of freedom. One way to formalize this intuition is to modelthe data as lying on or near a low dimensional manifold embedded inthe high dimensional s...
Creator:
Niyogi, Partha (University of Chicago)
Created:
2008-10-27
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
What are its implications for machine learning and numerical analysis? Whatare open questions? What are successes? Where should we be optimistic and where should we be pessimistic?
Creator:
Niyogi, Partha (University of Chicago)
Created:
2008-10-27
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Two lower-triangular arrays with entries that count RNA secondary structures of a given length are mentioned in this short talk. The array entries also count specific lattice walks. There is a one-to-one correspondence between RNA structures and a subset of the walks. We will discuss various ways in which the walks can be used as a tool to help ...
Creator:
Nkwanta, Asamoah (Morgan State University)
Created:
2007-10-29
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
An important issue in branch and bound methods for mixed integer nonlinear programming is the fast detection of infeasibility. This topic has not received sufficient attention and the methods developed for nonlinear programming often required a large number of iterations before a declaration of infeasibility can be made.The focus of this talk is...
Creator:
Nocedal, Jorge (Northwestern University)
Created:
2008-11-17
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Adaptivity is an essential tool in modern scientific andengineering computation that allows one to optimize thecomputational effort by locating the degrees of freedom wherethey are most needed, that is in regions of rapid solutionvariation. Adaptive finite element methods (AFEM) are the mostpopular and effective numerical methods to solve ellipt...
Creator:
Nochetto, Ricardo H. (University of Maryland)
Created:
2010-11-29
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In contrast to most of the existing theory of adaptivefiniteelement methods (AFEM), we design an AFEM for -Δ u =f with right hand side f in H -1 instead ofL2. Thishastwo important consequences. First we formulate our AFEM inthenatural space for f, which is nonlocal. Second, we showthatdecay rates for the data estimator are dominated by thosefor...
Creator:
Nochetto, Ricardo H. (University of Maryland)
Created:
2010-12-03
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Modeling of thin elastic structures subject to large bending deformations, without much streaching and shearing, leads to (geometrically nonlinear) Kirchhoff plate theories with pointwise isometry constraint. We discuss reduced models for both single and bilayer plates, which give rise to minimization problems for the Hessian of the deformation ...
Creator:
Nochetto, Ricardo H. (University of Maryland)
Created:
2017-06-29
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We design a two-scale finite element method (FEM) for linear elliptic PDEs in non-divergence form. Besides the meshsize, a second larger scale is dictated by an integro-differential approximation of the PDE. We show that the FEM satisfies the discrete maximum principle (DMP) provided that the mesh is weakly acute. Combining the DMP and weak oper...
Creator:
Nochetto, Ricardo H. (University of Maryland)
Created:
2014-10-22
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We present a comprehensive approach to the formulation and discretization of geometric PDE governing processes relevant in biophysics and materials science. We start with key elements of differential geometry and shape differential calculus which enable us to compute first variations of domain and boundary functionals. We propose geometric gradi...
Creator:
Nochetto, Ricardo H. (University of Maryland)
Created:
2013-07-15
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.