Gröbner bases and generation of difference schemes for partial differential equations.

Gerdt, Vladimir P., Blinkov, Yuri A., and Mozzhilkin, Vladimir V.. "Gröbner bases and generation of difference schemes for partial differential equations.." SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only] 2 (2006): Paper 051, 26 p., electronic only-Paper 051, 26 p., electronic only. <http://eudml.org/doc/52622>.

@article{Gerdt2006,
author = {Gerdt, Vladimir P., Blinkov, Yuri A., Mozzhilkin, Vladimir V.},
journal = {SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]},
keywords = {partial differential equations; conservative difference schemes; difference algebra; linear difference ideal; Gröbner basis; Janet-like basis; computer algebra; Burgers equation; Falkowich-Karman equation},
language = {eng},
pages = {Paper 051, 26 p., electronic only-Paper 051, 26 p., electronic only},
publisher = {Department of Applied Research, Institute of Mathematics of National Academy of Sciences of Ukraine},
title = {Gröbner bases and generation of difference schemes for partial differential equations.},
url = {http://eudml.org/doc/52622},
volume = {2},
year = {2006},
}

TY - JOUR
AU - Gerdt, Vladimir P.
AU - Blinkov, Yuri A.
AU - Mozzhilkin, Vladimir V.
TI - Gröbner bases and generation of difference schemes for partial differential equations.
JO - SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
PY - 2006
PB - Department of Applied Research, Institute of Mathematics of National Academy of Sciences of Ukraine
VL - 2
SP - Paper 051, 26 p., electronic only
EP - Paper 051, 26 p., electronic only
LA - eng
KW - partial differential equations; conservative difference schemes; difference algebra; linear difference ideal; Gröbner basis; Janet-like basis; computer algebra; Burgers equation; Falkowich-Karman equation
UR - http://eudml.org/doc/52622
ER -