Effective algorithms for parametrizing linear control systems over Ore algebras F Chyzak, A Quadrat, D Robertz Applicable Algebra in Engineering, Communication and Computing 16, 319-376, 2005 | 194 | 2005 |
OreModules: A Symbolic Package for the Study of Multidimensional Linear Systems F Chyzak, A Quadrat, D Robertz Applications of time delay systems, 233-264, 2007 | 138 | 2007 |
Algorithmic Thomas decomposition of algebraic and differential systems T Bächler, V Gerdt, M Lange-Hegermann, D Robertz Journal of Symbolic Computation 47 (10), 1233-1266, 2012 | 79 | 2012 |
The MAPLE Package “Janet”: I. Polynomial Systems YA Blinkov, CF Cid, VP Gerdt, W Plesken, D Robertz Proc. of Computer Algebra in Scientific Computing CASC, 31-40, 2003 | 68 | 2003 |
Computation of bases of free modules over the Weyl algebras A Quadrat, D Robertz Journal of Symbolic Computation 42 (11-12), 1113-1141, 2007 | 66 | 2007 |
Formal algorithmic elimination for PDEs D Robertz Springer, 2014 | 65 | 2014 |
Janet’s approach to presentations and resolutions for polynomials and linear pdes W Plesken, D Robertz Archiv der Mathematik 84, 22-37, 2005 | 60 | 2005 |
A Maple package for computing Gröbner bases for linear recurrence relations VP Gerdt, D Robertz Nuclear Instruments and Methods in Physics Research Section A: Accelerators …, 2006 | 46 | 2006 |
homalg–A meta-package for homological algebra M Barakat, D Robertz Journal of Algebra and its Applications 7 (03), 299-317, 2008 | 43 | 2008 |
Consistency of finite difference approximations for linear PDE systems and its algorithmic verification VP Gerdt, D Robertz Proceedings of the 2010 International Symposium on Symbolic and Algebraic …, 2010 | 38 | 2010 |
The MAPLE package “Janet”: II. linear partial differential equations YA Blinkov, CF Cid, VP Gerdt, W Plesken, D Robertz Proceedings of the 6th International Workshop on Computer Algebra in …, 2003 | 38 | 2003 |
Computation of difference Grobner bases V Gerdt, D Robertz Computer Science Journal of Moldova 59 (2), 203-226, 2012 | 33 | 2012 |
A constructive study of the module structure of rings of partial differential operators A Quadrat, D Robertz Acta Applicandae Mathematicae 133, 187-234, 2014 | 30 | 2014 |
Recent progress in an algebraic analysis approach to linear systems D Robertz Multidimensional Systems and Signal Processing 26, 349-388, 2015 | 29 | 2015 |
Parametrizing all solutions of uncontrollable multidimensional linear systems A Quadrat, D Robertz IFAC Proceedings Volumes 38 (1), 49-54, 2005 | 26 | 2005 |
On the Baer extension problem for multidimensional linear systems A Quadrat, D Robertz INRIA, 2007 | 22 | 2007 |
The MAPLE package TDDS for computing Thomas decompositions of systems of nonlinear PDEs VP Gerdt, M Lange-Hegermann, D Robertz Computer Physics Communications 234, 202-215, 2019 | 21 | 2019 |
Janet bases and applications D Robertz Gröbner bases in symbolic analysis 2, 139-168, 2007 | 21 | 2007 |
Formal computational methods for control theory D Robertz Aachen, Techn. Hochsch., Diss., 2006, 2006 | 20 | 2006 |
Thomas decomposition of algebraic and differential systems T Bächler, V Gerdt, M Lange-Hegermann, D Robertz Computer Algebra in Scientific Computing: 12th International Workshop, CASC …, 2010 | 18 | 2010 |