The constructive solution of linear systems of partial difference and differential equations with constant coefficients
From MaRDI portal
Publication:5955548
DOI10.1023/A:1011901522520zbMath1014.35015MaRDI QIDQ5955548
Publication date: 8 July 2003
Published in: Multidimensional Systems and Signal Processing (Search for Journal in Brave)
Multivariable systems, multidimensional control systems (93C35) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Algebraic methods (93B25) Series solutions to PDEs (35C10) Additive difference equations (39A10) Overdetermined systems of PDEs with constant coefficients (35N05)
Related Items
Polynomial-exponential decomposition from moments ⋮ Adaptive and optimal difference operators in image processing ⋮ Algebraic Theory of Linear Systems: A Survey ⋮ Canonical state representations and Hilbert functions of multidimensional systems ⋮ The computation of purity filtrations over commutative Noetherian rings of operators and their application to behaviors ⋮ Algorithms for the theory of restrictions of scalar \(n\)-D systems to proper subspaces of \(\mathbb {R}^n\) ⋮ Gröbner bases and their application to the Cauchy problem on finitely generated affine monoids ⋮ Under- and overdetermined systems of differential equations ⋮ An algebraic approach to solving boundary value problems ⋮ On restrictions of \(n\)-d systems to 1-d subspaces ⋮ On inverse systems and squarefree decomposition of zero-dimensional polynomial ideals ⋮ Time-autonomy and time-controllability of discrete multidimensional behaviours ⋮ Optimal Difference Operator Selection
