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Preconditioners based on Windowed Fourier Frames Applied to Elliptic Partial Differential Equations
Windowed Fourier frame symbol elliptic PDE preconditioner
2010/12/3
We investigate the application of windowed Fourier frames (WFFs) to the numerical solution of partial di erential equations, focussing on elliptic equations. The action of a partial di erential operat...
More common errors in finding exact solutions of nonlinear differential equations. I
nonlinear differential equations common errors
2010/4/7
In the recent paper by Kudryashov [Commun. Nonlinear Sci. Numer. Simulat., 2009, V.14, 3507-3529] seven common errors in finding exact solutions of nonlinear differential equations were listed and dis...
ON THE MEROMORPHIC SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS
Linear differential equations meromorphic solutions order of growth
2007/8/7
In this paper, we investigate the growth ofmeromorphic solutions of higher order linear differential equation $%f^{( k) }+A_{k-1}( z) e^{P_{k-1}( z) }f^{( k-1)}+\cdots+A_{1}( z)e^{P_{1}( z) }f'+A_{0}(...
GLOBAL CLASSICAL SOLUTIONS AND EXPLICITEXACT SOLUTIONS TO A KIND OF QUASILINEARPARTIAL DIFFERENTIAL EQUATIONS
Quasilinear equation the Cauchy problem
2007/8/7
In this paper the authors give a complete result on the global existence andthe lifesspan of classical solutions to the Cauchy problem for a kind 0f quasilillear partial differelitial equations of phy...