WorldCat Identities

Arnold, Douglas N. 1954-

Overview
Works: 20 works in 40 publications in 2 languages and 547 library holdings
Genres: Conference proceedings 
Roles: Editor
Classifications: QC173.458.S62, 510
Publication Timeline
Key
Publications about  Douglas N Arnold Publications about Douglas N Arnold
Publications by  Douglas N Arnold Publications by Douglas N Arnold
Most widely held works by Douglas N Arnold
Compatible spatial discretizations by Douglas N Arnold ( )
14 editions published in 2006 in English and held by 449 WorldCat member libraries worldwide
The IMA Hot Topics workshop on compatible spatialdiscretizations was held May 11-15, 2004 at the University of Minnesota. This volume contains contributions based on the material presented at the workshop. It includes a work that is representative of the developments in compatible discretizations across the disciplines in computational science
MathFilm Festival 2008 a collection of mathematical videos ( Visual )
2 editions published in 2008 in English and held by 42 WorldCat member libraries worldwide
Presents a juried collection of innovative short math videos, winners of the international competition of the MathFilm Festival 2008. The festival is part of the "Year of Mathematics" initiative of the Federal Ministry of Education and Research (Germany). The films target a broad audience of students, teachers, and those with an interest in mathematics. Topics range from historic to modern, from geometry to graphics, from computing to visualization, and abstract mathematical world to real-world applications
Modeling of soft matter by Douglas N Arnold ( )
4 editions published in 2005 in English and held by 18 WorldCat member libraries worldwide
The physics of soft matter, materials such as elastomers, gels, foams and liquid crystals, is an area of intense interest and study. Moreover, soft matter plays a role in a wide variety of important processes and application. This book presents a collection of papers representing the key aspects of the modeling of soft matter
Symmetries and overdetermined systems of partial differential equations by Michael G Eastwood ( )
1 edition published in 2008 in English and held by 11 WorldCat member libraries worldwide
Symmetries in various forms pervade mathematics and physics. Globally, there are the symmetries of a homogenous space induced by the action of a Lie group. Locally, there are the infinitesimal symmetries induced by differential operators, including not only those of first order but of higher order too. This three-week summer program considered the symmetries preserving various natural geometric structures. Often these structures are themselves derived from partial differential equations whilst their symmetries turn out to be contrained by overdetermined systems. This leads to further topics including separation of variables, conserved quantities, superintegrability, parabolic geometry, represantation theory, the Bernstein-Gelfand-Gelfand complex, finite element schemes, exterior differential systems and moving frames. There are two parts to the Proceedings. The articles in the first part are expository but all contain significant new material. The articles in the second part are concerned with original research. All articles were thoroughly refereed and the range of interrelated work ensures that this will be an extremely useful collection. These Proceedings are dedicated to the memory of Thomas P. Branson who played a leading role in the conception and organization of this Summer Program but did not live to see its realization
Graphics for the Calculus Classroom by Douglas N Arnold ( )
in English and held by 8 WorldCat member libraries worldwide
Presents a collection of graphical demonstrations for first-year calculus classes. Includes graphics of differentials and differences, Archimedes' calculation of pi, a bouncing ball, secants and tangents, a trigonometric limit, the number "e," and the intersection of two cylinders. Contains demonstrations and .mpeg animations. Links to a collection of graphics for complex analysis and the McAllister Technology Classroom
An interior penalty finite element method with discontinuous elements by Douglas N Arnold ( )
1 edition published in 1979 in English and held by 4 WorldCat member libraries worldwide
On the asymptotic convergence of collocation methods by Douglas N Arnold ( Book )
1 edition published in 1982 in German and held by 2 WorldCat member libraries worldwide
The convergence of spline collocation for strongly elliptic equations on curves by Douglas N Arnold ( Book )
1 edition published in 1985 in German and held by 2 WorldCat member libraries worldwide
Preconditioning discrete approximations of the Reissner-Mindlin plate model by University of Minnesota ( Book )
1 edition published in 1996 in English and held by 1 WorldCat member library worldwide
Möbius transformations revealed by Douglas N Arnold ( )
in English and held by 1 WorldCat member library worldwide
"Möbius Transformations Revealed is a short video by Douglas Arnold and Jonathan Rogness which depicts the beauty of Möbius transformations and shows how moving to a higher dimension reveals their essential unity. It was one of the winners in the 2007 Science and Visualization Challenge and was featured along with the other winning entries in the September 28, 2007 issue of journal Science. The video, which was first released on YouTube in June 2007, has been watched there a million and a half viewers and classified as a "Top Favorite of All Time" first in the Film & Animation category and later in the Education category. It was selected for inclusion in the MathFilm 2008 DVD, published by Springer."
Compatible Spatial Discretizations. The IMA Volumes in Mathematics and its Applications, Volume 142 ( )
1 edition published in 2006 in English and held by 1 WorldCat member library worldwide
The IMA Hot Topics workshop on compatible spatialdiscretizations was held May 11-15, 2004 at the University of Minnesota. The purpose of the workshop was to bring together scientists at the forefront of the research in the numerical solution of PDEs to discuss recent advances and novel applications of geometrical and homological approaches to discretization. This volume contains original contributions based on the material presented at the workshop. A unique feature of the collection is the inclusion of work that is representative of the recent developments in compatible discretizations across a wide spectrum of disciplines in computational science.Compatible spatial discretizations are those that inherit or mimic fundamental properties of the PDE such as topology, conservation, symmetries, and positivity structures and maximum principles. The papers in the volume offer a snapshot of the current trends and developments in compatible spatial discretizations. The reader will find valuable insights on spatial compatibility from several different perspectives and important examples of applications compatible discretizations in computational electromagnetics, geosciences, linear elasticity, eigenvalue approximations and MHD. The contributions collected in this volume will help to elucidate relations between different methods and concepts and to generally advance our understanding of compatible spatial discretizations for PDEs. Abstracts and presentation slides from the workshop can be accessed at http://www.ima.umn.edu/talks/workshops/5-11-15.2004/
Regular Inversion of the Divergence Operator with Dirichlet Boundary Conditions on a Polygon ( Book )
1 edition published in 1987 in English and held by 1 WorldCat member library worldwide
Consider the existence of regular solutions to the boundary value problem div U = f on a plane polygonal domain Omega with the Dirichlet boundary condition U = g on del Omega. We formulate simultaneously necessary and sufficient conditions on f and g in order that a solution U exist in the Sobolev space W (over s+1 to p) (Omega). In addition to the obvious regularity and integral conditions these consist of at most one compatibility condition at each vertex of the polygon. In the special case of homogeneous boundary data, it is necessary and sufficient that f belong to W (over s to p) (Omega), have mean value zero, and vanish at each vertex. (The latter condition only applies if s is large enough that the point values make sense.) We construct a solution operator which is independent of s and p. Various new trace theorems for Sobolev spaces on polygons are obtained. Keywords: Divergence; Trace; Sobolev space; Reprints
Interior estimates for a low order finite element method for the Reissner-Mindlin plate model by University of Minnesota ( Book )
1 edition published in 1996 in English and held by 1 WorldCat member library worldwide
Collocation versus Galerkin procedures for boundary integral methods by Douglas N Arnold ( Book )
2 editions published in 1982 in German and English and held by 1 WorldCat member library worldwide
Analysis of a linear-linear finite element for the Reissner-Mindlin plate model by University of Minnesota ( Book )
1 edition published in 1996 in English and held by 1 WorldCat member library worldwide
Preconditioning in H(div) and applications by University of Minnesota ( Book )
1 edition published in 1996 in English and held by 1 WorldCat member library worldwide
Locally adapted tetrahedral meshes using bisection ( Book )
1 edition published in 1997 in Undetermined and held by 0 WorldCat member libraries worldwide
Continuous dependence on the elastic coefficients for a class of anisotropic materials by Douglas N Arnold ( Book )
1 edition published in 1985 in English and held by 0 WorldCat member libraries worldwide
PEERS: A new mixed finite element for plane elasticity by Douglas N Arnold ( Book )
1 edition published in 1984 in English and held by 0 WorldCat member libraries worldwide
 
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Alternative Names
Arnold, Douglas 1954-
Languages
English (35)
German (4)
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