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COMPUTING
2006
119views more  COMPUTING 2006»
13 years 9 months ago
Sparse Grids, Adaptivity, and Symmetry
Sparse grid methods represent a powerful and efficient technique for the representation and approximation of functions and particularly the solutions of partial differential equat...
Harry Yserentant
SIAMAM
2008
121views more  SIAMAM 2008»
13 years 9 months ago
A Level Set Approach to Anisotropic Surface Evolution with Free Adatoms
We variationally derive a thermodynamically consistent model for surface evolution under the influence of free adatoms. The resulting system of nonlinear partial differential equat...
Christina Stöcker, Axel Voigt
SIAMDM
2008
190views more  SIAMDM 2008»
13 years 9 months ago
On the Complexity of Ordered Colorings
We introduce two variants of proper colorings with imposed partial ordering on the set of colors. One variant shows very close connections to some fundamental problems in graph the...
Arvind Gupta, Jan van den Heuvel, Ján Manuc...
SIAMSC
2008
188views more  SIAMSC 2008»
13 years 9 months ago
Adaptivity with Dynamic Meshes for Space-Time Finite Element Discretizations of Parabolic Equations
In this paper, we develop an error estimator and an adaptive algorithm for efficient solution of parabolic partial differential equations. The error estimator assesses the discreti...
Michael Schmich, Boris Vexler
SIAMJO
2000
76views more  SIAMJO 2000»
13 years 9 months ago
Superlinear Convergence and Implicit Filtering
In this note we show how the implicit filtering algorithm can be coupled with the BFGS quasi-Newton update to obtain a superlinearly convergent iteration if the noise in the object...
T. D. Choi, C. T. Kelley