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JSCIC
2010
178views more  JSCIC 2010»
8 years 7 months ago
A Compact Fourth Order Scheme for the Helmholtz Equation in Polar Coordinates
In many problems, one wishes to solve the Helmholtz equation in cylindrical or spherical coordinates which introduces variable coefficients within the differentiated terms. Fourth ...
S. Britt, S. Tsynkov, Eli Turkel
JSCIC
2010
104views more  JSCIC 2010»
8 years 7 months ago
The Kemeny Constant for Finite Homogeneous Ergodic Markov Chains
A quantity known as the Kemeny constant, which is used to measure the expected number of links that a surfer on the World Wide Web, located on a random web page, needs to follow b...
M. Catral, Stephen J. Kirkland, M. Neumann, N.-S. ...
JSCIC
2010
87views more  JSCIC 2010»
8 years 7 months ago
On Reconstruction from Non-uniform Spectral Data
This paper addresses the reconstruction of compactly supported functions from non-uniform samples of their Fourier transform. We briefly investigate the consequences of acquiring n...
Adityavikram Viswanathan, Anne Gelb, Douglas Cochr...
JSCIC
2010
79views more  JSCIC 2010»
8 years 7 months ago
A Boundary Perturbation Method for Vector Electromagnetic Scattering from Families of Doubly Periodic Gratings
In this paper the authors extend their previous work on Boundary Perturbation methods for scattering calculations from families of diffraction gratings to three dimensions and the...
David P. Nicholls, Joseph Orville
JSCIC
2010
57views more  JSCIC 2010»
8 years 7 months ago
A Proof of the Stability of the Spectral Difference Method for All Orders of Accuracy
While second order methods for computational simulations of fluid flow provide the basis of widely used commercial software, there is a need for higher order methods for more accur...
Antony Jameson
JSCIC
2010
73views more  JSCIC 2010»
8 years 7 months ago
A Fast Explicit Operator Splitting Method for Passive Scalar Advection
Alina Chertock, Charles R. Doering, Eugene Kashdan...
JSCIC
2010
113views more  JSCIC 2010»
8 years 7 months ago
Numerical Analysis of Nonlinear Eigenvalue Problems
We provide a priori error estimates for variational approximations of the ground state eigenvalue and eigenvector of nonlinear elliptic eigenvalue problems of the form -div(Au) + ...
Eric Cancès, Rachida Chakir, Yvon Maday
JSCIC
2010
231views more  JSCIC 2010»
8 years 7 months ago
Geometric Applications of the Split Bregman Method: Segmentation and Surface Reconstruction
Variational models for image segmentation have many applications, but can be slow to compute. Recently, globally convex segmentation models have been introduced which are very rel...
Tom Goldstein, Xavier Bresson, Stanley Osher
JSCIC
2010
100views more  JSCIC 2010»
8 years 7 months ago
Analysis of Nonlinear Spectral Eddy-Viscosity Models of Turbulence
Max Gunzburger, Eunjung Lee, Yuki Saka, Catalin Tr...
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