A Symbolic Framework for Operations on Linear Boundary Problems
DOI10.1007/978-3-642-04103-7_24zbMath1260.68484OpenAlexW1599970926MaRDI QIDQ3644106
Loredana Tec, Georg Regensburger, Markus Rosenkranz, Bruno Buchberger
Publication date: 10 November 2009
Published in: Computer Algebra in Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-642-04103-7_24
wave equationordinary differential equationGreen's operatorintegro-differential operatorlinear boundary problem
Symbolic computation and algebraic computation (68W30) Linear boundary value problems for ordinary differential equations (34B05) Boundary value problems for linear higher-order PDEs (35G15)
Related Items (6)
Uses Software
Cites Work
- An algebraic foundation for factoring linear boundary problems
- \textit{Theorema}: Towards computer-aided mathematical theory exploration
- Solving and factoring boundary problems for linear ordinary differential equations in differential algebras
- An introduction to commutative and noncommutative Gröbner bases
- Loewy and primary decompositions of \(\mathcal D\)-modules
- A new symbolic method for solving linear two-point boundary value problems on the level of operators
- A skew polynomial approach to integro-differential operators
- Ordinary Differential Operators Under Stieltjes Boundary Conditions
- Solving Linear Boundary Value Problems Via Non-commutative Gröbner Bases
- Factorization of linear partial differential operators and Darboux integrability of nonlinear PDEs
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