Geodesic
Linear PDE with constant coefficients
Glasgow mathematical journal, Tome 65 (2023), pp. S2-S27

Voir la notice de l'article provenant de la source Cambridge

DOI

We discuss practical methods for computing the space of solutions to an arbitrary homogeneous linear system of partial differential equations with constant coefficients. These rest on the Fundamental Principle of Ehrenpreis–Palamodov from the 1960s. We develop this further using recent advances in computational commutative algebra.
DOI : 10.1017/S0017089521000355
Mots-clés : Primary decomposition, partial differential equation, computer algebra 
Manssour, Rida Ait El; Härkönen, Marc; Sturmfels, Bernd. Linear PDE with constant coefficients. Glasgow mathematical journal, Tome 65 (2023), pp. S2-S27. doi: 10.1017/S0017089521000355
@article{10_1017_S0017089521000355,
     author = {Manssour, Rida Ait El and H\"ark\"onen, Marc and Sturmfels, Bernd},
     title = {Linear {PDE} with constant coefficients},
     journal = {Glasgow mathematical journal},
     pages = {S2--S27},
     year = {2023},
     volume = {65},
     number = {S1},
     doi = {10.1017/S0017089521000355},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089521000355/}
}
TY  - JOUR
AU  - Manssour, Rida Ait El
AU  - Härkönen, Marc
AU  - Sturmfels, Bernd
TI  - Linear PDE with constant coefficients
JO  - Glasgow mathematical journal
PY  - 2023
SP  - S2
EP  - S27
VL  - 65
IS  - S1
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089521000355/
DO  - 10.1017/S0017089521000355
ID  - 10_1017_S0017089521000355
ER  - 
%0 Journal Article
%A Manssour, Rida Ait El
%A Härkönen, Marc
%A Sturmfels, Bernd
%T Linear PDE with constant coefficients
%J Glasgow mathematical journal
%D 2023
%P S2-S27
%V 65
%N S1
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089521000355/
%R 10.1017/S0017089521000355
%F 10_1017_S0017089521000355

Cité par Sources :