Regular and Singular Boundary Problems in Maple

@inproceedings{Korporal2011RegularAS,
  title={Regular and Singular Boundary Problems in Maple},
  author={Anja Korporal and G. Regensburger and M. Rosenkranz},
  booktitle={CASC},
  year={2011}
}
  • Anja Korporal, G. Regensburger, M. Rosenkranz
  • Published in CASC 2011
  • Mathematics, Computer Science
  • We describe a new Maple package for treating boundary problems for linear ordinary differential equations, allowing two-/multipoint as well as Stieltjes boundary conditions. For expressing differential operators, boundary conditions, and Green's operators, we employ the algebra of integro-differential operators. The operations implemented for regular boundary problems include computing Green's operators as well as composing and factoring boundary problems. Our symbolic approach to singular… CONTINUE READING
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    References

    SHOWING 1-10 OF 27 REFERENCES
    A maple package for integro-differential operators and boundary problems
    • 12
    • PDF
    Solving and factoring boundary problems for linear ordinary differential equations in differential algebras
    • 74
    • PDF
    A Symbolic Framework for Operations on Linear Boundary Problems
    • 18
    • PDF
    An algebraic foundation for factoring linear boundary problems
    • 30
    • PDF
    A new symbolic method for solving linear two-point boundary value problems on the level of operators
    • 58
    Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Gröbner Bases
    • 39
    • PDF
    Ordinary differential operators under Stieltjes boundary conditions
    • 19
    • PDF
    A skew polynomial approach to integro-differential operators
    • 25
    • PDF
    An Introduction to Ordinary Differential Equations
    • 26
    • PDF