Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Gröbner Bases (original) (raw)
Related papers
A New Symbolic Method for Linear Boundary Value Problems Using Groebner Bases
Citeseer
Lecture Notes in Computer Science, 2010
Journal of Symbolic Computation, 2008
Integro-differential polynomials and operators
Proceedings of the twenty-first international symposium on Symbolic and algebraic computation - ISSAC '08, 2008
A Symbolic Framework for Operations on Linear Boundary Problems
Lecture Notes in Computer Science, 2009
A maple package for integro-differential operators and boundary problems
ACM SIGSAM Bulletin, 2011
Transforming problems from analysis to algebra: A case study in linear boundary problems
Journal of Symbolic Computation, 2012
ON A SYMBOLIC METHOD FOR SECOND-ORDER BOUNDARY VALUE PROBLEMS OVER ALGEBRAS
International Journal of Applied Mathematics, 2024
Solving systems of linear differential equations over integro-differential algebras
Dr. Srinivasarao Thota, Prof Shiv Datt Kumar
International Conference on Applications of Computer Algebra, 2012
On Symbolic Approaches to Integro-Differential Equations
Algebraic and Symbolic Computation Methods in Dynamical Systems, 2020
On Computing Gröbner Bases in Rings of Differential Operators with Coefficients in a Ring
Mathematics in Computer Science, 2007
On a Symbolic Method for Fully Inhomogeneous Boundary Value Problems
Kyungpook Mathematical Journal, 2019
Free integro-differential algebras and Gröbner–Shirshov bases
Journal of Algebra, 2015
On integro-differential algebras
Journal of Pure and Applied Algebra, 2014
Solving Linear Boundary Value Problems Via Non-commutative Gröbner Bases
Applicable Analysis, 2003
Solving Linear Boundary Value Problems Via Non-commutative Gr�bner Bases
Applicable Analysis, 2003
A skew polynomial approach to integro-differential operators
Proceedings of the 2009 international symposium on Symbolic and algebraic computation - ISSAC '09, 2009
Algebraic aspects of differential equations
2019
Canonical forms for polynomial and quadratic differential operators
Systems & Control Letters, 2007
Maple Implementation of A Symbolic Method for Fully Inhomogeneous Boundary Value Problems
Int. J. of Applied Mathematics, Computational Science and Systems Engineering, 2021
An algebraic foundation for factoring linear boundary problems
Annali di Matematica Pura ed Applicata, 2009
SCSS 2010 Symbolic Computation in Software Science
2010
Symbolic Algorithm for a System of Differential-Algebraic Equations
General polynomial reduction with TH 9 OREM 8 functors
Markus Rosenkranz, B. Buchberger
ACM SIGSAM Bulletin, 2009
Formal Solutions and Factorization of Differential Operators with Power Series Coefficients
Journal of Symbolic Computation, 1997
Regular and Singular Boundary Problems in Maple
Lecture Notes in Computer Science, 2011
A Symbolic Algorithm for Solving Two-Point BVPs on the Operator Level
On the rings of formal solutions of polynomial differential equations
Banach Center Publications, 1998
2011
Symbolic Algorithm to Solve Initial Value Problems for Partial Differential Equations
Bulletin of Computational Applied Mathematics, 2020
Formal functional equations and generalized Lie–Gröbner series
Journal of Difference Equations and Applications, 2017
Differential Equations with Symbolic Computation
Trends in Mathematics, 2005
Concrete Resolution of Differential Problems using Tannakian Categories
Gröbner δ-bases and Gröbner bases for differential operators
Differential Galois Theory, 2002