The SFB program expired on September 30, 2008. For the link to the successor project click DK Computational Mathematics
Home
Appointments
Papers
Misc
Contact

Technical Reports

Publication Lists

Annual Reports


Publications of the Project F1304


Article


September 27, 2008

Bibliography

1
R. Beals and E. Kartashova.
Constructively factoring linear partial differential operators in two variables.
TMPh (Journal of Theoretical and Mathematical Physics) , Springer, 145(2):1510-1523, 2005.
2
H. Gu and H. Herrmann.
Close-to-fourier heat conduction equation for solids: Motivation and symbolic-numerical analysis.
ATTI della ACCADEMIA PELORITANA DEI PERICOLANTI, pages 123-147, 2006.
Classe di Scienze Fisiche, Mathematiche e Naturali.
3
R. Hemmecke.
Continuously Parameterized Symmetries and Buchberger's Algorithm.
J. of Symbolic Computation, 33(1):43-55, 2002.
4
E. Hillgarter, R. Hemmecke, G. Landsmann, and F. Winkler.
Symbolic differential elimination theory for symmetry analysis.
Mathematical and Computer Modelling of Dynamical Systems, 10(2):123-147, 2004.
5
E. Kartashova.
Fast Computation Algorithm for Discrete Resonances among Gravity Waves.
JLTP (Journal of Low Temperature Physics), 145(1):287-295, 2006.
6
E. Kartashova.
A hierarchy of generalized invariants for linear partial differential operators.
TMPh (J. Theoretical and Mathematical Physics), Springer, 147(3):839-846, 2006.
7
E. Kartashova.
A model of laminated turbulence.
Letters JETP (Journal of Experimental and Theoretical Physics, Letters; Springer, 83(7):341-345, 2006.
8
E. Kartashova.
Exact and quasi-resonances in discrete water-wave turbulence.
Physical Review Letters, 98(214502):1-4, 2007.
9
E. Kartashova and A. Kartashov.
Laminated wave turbulence: generic algorithms I.
IJMPC (International Journal of Modern Physics C), 17(11):1579-1596, 2006.
10
E. Kartashova and A. Kartashov.
Laminated wave turbulence: generic algorithms II.
CiCP (Communications in Computational Physics), 2(4):783-794, 2007.
11
E. Kartashova and A. Kartashov.
Laminated wave turbulence: generic algorithms III.
Physica A: Statistical Mechanics and Its Applications, 380:66-74, 2007.
12
E. Kartashova and V. L'vov.
A model of intra-seasonal oscillations in the Earth atmosphere.
Physical Review Letters, 98(198501):1-4, May 2007.
This paper has been featured in ``Nature Physics'', Vol. 3 (6), p.368 (Impact Factor: 12.04); http://www.nature.com/nphys/journal/v3/n6/full/nphys643.html.
13
E. Kartashova and G. Mayrhofer.
Cluster formation in mesoscopic systems.
Physica A: Statistical Mechanics and Its Applications, 385:527-542, 2007.
14
G. Landsmann, J. Schicho, and F. Winkler.
The Parametrization of Canal Surfaces and the Decomposition of Polynomials into a Sum of Two Squares.
J. of Symbolic Computation, 32(1-2):119-132, 2001.
15
G. Landsmann, J. Schicho, and F. Winkler.
The parametrization of canal surfaces and the decomposition of polynomials into a sum of two squares.
Symbolic Computation, 32(1 & 2):119-132, 2001.
16
W. Schreiner, C. Mittermaier, and K. Bosa.
Distributed Maple: Parallel computer algebra in networked environments.
Journal of Symbolic Computation, 35(3):305-347, 2002.
17
J. Sendra and F. Winkler.
Tracing Index of Rational Curve Parametrizations.
Computer aided Geometric Design, 18:771-795, 2001.
18
J. R. Sendra and F. Winkler.
Algorithms for Rational Real Algebraic Curves.
Fundamenta Informaticae, 39(1-2):211-228, 1999.
19
J. R. Sendra and F. Winkler.
Tracing index of rational curve parametrizations.
Computer Aideded Geometric Design 18, pages 771-795, 2001.
20
E. Shemyakova.
A full system of invariants for third-order linear partial differential operators.
Lecture Notes in Comput. Sci., 4120:360-369, 2006.
21
E. Shemyakova.
The parametric factorizations of second-, third- and fourth-order linear partial differential operators on the plane.
Mathematics in Computer Science, 1(2), 2007.
22
E. Shemyakova and F. Winkler.
A full system of invariants for third-order linear partial differential operators in general form.
Lecture Notes in Comput. Sci., 4770:360-369, 2007.
23
E. Shemyakova and F. Winkler.
Obstacles to the factorization of linear partial differential operators into several factors.
Programming and Computer Software, 33(2):67-73, 2007.
24
E. Shemyakova and F. Winkler.
On the invariant properties of hyperbolic bivariate third-order linear partial differential operators.
LNAI, 5081, 2008.
25
M. Zhou and F. Winkler.
Computing difference-differential dimension polynomials by relative gröbner bases in difference-differential modules.
J. of Symbolic Computation, 43(10):726-745, 2008.
26
M. Zhou and F. Winkler.
Gröbner bases in difference-differential modules and difference-differential dimension polynomials.
Science in China Series A: Mathematics, 51(9):1731-1752, 2008.




Please direct your comments or eventual problem reports to webmaster.

SpezialForschungsBereich SFB F013 | Special Research Program of the FWF - Austrian Science Fund