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» On Popovski's method for nonlinear equations
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MMAS
2010
Springer
14 years 4 months ago
A Nonlinear PDE-Based Method for Sparse Deconvolution
In this paper, we introduce a new nonlinear evolution partial differential equation for sparse deconvolution problems. The proposed PDE has the form of continuity equation that ar...
Yu Mao, Bin Dong, Stanley Osher
CMA
2010
183views more  CMA 2010»
14 years 6 months ago
Improved Adomian decomposition method
: The Adomian Decomposition Method (ADM) shows a very good ability in dealing with nonlinear differential equations but it is still have some drawbacks. In this paper, it is shown ...
Tamer A. Abassy
JCIT
2008
99views more  JCIT 2008»
14 years 9 months ago
Iterative Operator-Splitting Methods for Stiff Problems in Complex Applications
In this paper we deal with the Landau-LifshitzGilbert equation which describes dynamics of ferromagnetism. Based on the strong nonlinearities a stabilised discretisation method is...
Jürgen Geiser
TCS
2008
14 years 9 months ago
Solving difference equations whose coefficients are not transcendental
We consider a large class of sequences, called admissible sequences, which are defined by systems of (possibly nonlinear) difference equations. A procedure for recursively enumera...
Manuel Kauers
AMC
2007
168views more  AMC 2007»
14 years 9 months ago
The method of lines for the numerical solution of a mathematical model for capillary formation: The role of tumor angiogenic fac
In this paper we present the method of lines for the numerical solution of a mathematical model for capillary formation in two space dimensions x,y. We study the tumor angiogenic ...
Arzu Erdem, Serdal Pamuk