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SIAMREV
2010
114views more  SIAMREV 2010»
14 years 10 months ago
From Random Polygon to Ellipse: An Eigenanalysis
Suppose x and y are unit 2-norm n-vectors whose components sum to zero. Let P(x, y) be the polygon obtained by connecting (x1, y1), . . . , (xn, yn), (x1, y1) in order. We say that...
Adam N. Elmachtoub, Charles F. Van Loan
SIAMSC
2010
145views more  SIAMSC 2010»
14 years 10 months ago
An "hp" Certified Reduced Basis Method for Parametrized Elliptic Partial Differential Equations
We present a new "hp" parameter multi-domain certified reduced basis method for rapid and reliable online evaluation of functional outputs associated with parametrized el...
Jens L. Eftang, Anthony T. Patera, Einar M. R&osla...
TITS
2010
117views Education» more  TITS 2010»
14 years 10 months ago
Lane-Level Integrity Provision for Navigation and Map Matching With GNSS, Dead Reckoning, and Enhanced Maps
Lane-level positioning and map matching are some of the biggest challenges for navigation systems. Additionally, in safety applications or in those with critical performance requir...
Rafael Toledo-Moreo, David Bétaille, Fran&c...
MMAS
2011
Springer
14 years 10 months ago
A Multiscale Method for Epitaxial Growth
In this paper we investigate a heterogeneous multiscale method (HMM) for interface tracking and apply the technique to the simulation of epitaxial growth. HMM relies on an efficien...
Yi Sun, Russel Caflisch, Björn Engquist
SIAMSC
2011
113views more  SIAMSC 2011»
14 years 10 months ago
An Efficient Higher-Order Fast Multipole Boundary Element Solution for Poisson-Boltzmann-Based Molecular Electrostatics
In order to compute polarization energy of biomolecules, we describe a boundary element approach to solving the linearized Poisson–Boltzmann equation. Our approach combines sever...
Chandrajit L. Bajaj, Shun-Chuan Albert Chen, Alexa...