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» Approximating Solution Structure
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SIAMSC
2008
139views more  SIAMSC 2008»
15 years 21 days ago
Probing the Pareto Frontier for Basis Pursuit Solutions
The basis pursuit problem seeks a minimum one-norm solution of an underdetermined least-squares problem. Basis pursuit denoise (BPDN) fits the least-squares problem only approximat...
Ewout van den Berg, Michael P. Friedlander
104
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CORR
2010
Springer
174views Education» more  CORR 2010»
15 years 26 days ago
Hybrid Numerical Solution of the Chemical Master Equation
We present a numerical approximation technique for the analysis of continuous-time Markov chains that describe networks of biochemical reactions and play an important role in the ...
Thomas A. Henzinger, Maria Mateescu, Linar Mikeev,...
ISSAC
2004
Springer
67views Mathematics» more  ISSAC 2004»
15 years 6 months ago
Rational general solutions of algebraic ordinary differential equations
We give a necessary and sufficient condition for an algebraic ODE to have a rational type general solution. For an autonomous first order ODE, we give an algorithm to compute a r...
Ruyong Feng, Xiao-Shan Gao
74
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JNS
2010
62views more  JNS 2010»
14 years 11 months ago
On the Existence of Quasipattern Solutions of the Swift-Hohenberg Equation
Quasipatterns (two-dimensional patterns that are quasiperiodic in any spatial direction) remain one of the outstanding problems of pattern formation. As with problems involving qu...
G. Iooss, A. M. Rucklidge
ALGORITHMICA
1999
123views more  ALGORITHMICA 1999»
15 years 13 days ago
Distributed Matrix-Free Solution of Large Sparse Linear Systems over Finite Fields
We describe a coarse-grain parallel software system for the homogeneous solution of linear systems. Our solutions are symbolic, i.e., exact rather than numerical approximations. O...
Erich Kaltofen, A. Lobo