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CASC
2007
Springer
114views Mathematics» more  CASC 2007»
13 years 8 months ago
Analytic Solutions of Linear Difference Equations, Formal Series, and Bottom Summation
We consider summation of consecutive values (v), (v +1), . . . , (w) of a meromorphic function (z) where v, w ZZ. We assume that (z) satisfies a linear difference equation L(y) = ...
Sergei A. Abramov, Marko Petkovsek
CORR
2010
Springer
85views Education» more  CORR 2010»
13 years 4 months ago
Partial Denominator Bounds for Partial Linear Difference Equations
We investigate which polynomials can possibly occur as factors in the denominators of rational solutions of a given partial linear difference equation (PLDE). Two kinds of polynom...
Manuel Kauers, Carsten Schneider
CASC
2009
Springer
124views Mathematics» more  CASC 2009»
13 years 11 months ago
On m-Interlacing Solutions of Linear Difference Equations
Sergei A. Abramov, Moulay A. Barkatou, D. E. Khmel...
MOC
2010
12 years 11 months ago
Error bound between monotone difference schemes and their modified equations
It is widely believed that if monotone difference schemes are applied to the linear convection equation with discontinuous initial data, then solutions of the monotone schemes are ...
Zhen-Huan Teng