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A package to work with linear partial differential operators. (English. Russian original) Zbl 1311.65180

Program. Comput. Softw. 39, No. 4, 212-219 (2013); translation from Programmirovanie 39, No. 4 (2013).
Summary: The paper describes package LPDO, which is designed for work with linear partial differential operators with symbolic coefficients in the computer algebra system MAPLE. In addition to basic procedures (operator creation, determination, modification, and various simplifications of their coefficients, as well as algebraic operations on them), it implements generating systems of gauge invariants for separate operators and operator pairs, the Laplace transformation method (not related to the integral Laplace method), procedures returning necessary and sufficient conditions for factoring third-order operators in the plane into compositions of operators of one or another form in terms of invariants, and several procedures related to the Darboux transformations.

MSC:

65Y15 Packaged methods for numerical algorithms
68W30 Symbolic computation and algebraic computation
47F05 General theory of partial differential operators
35A22 Transform methods (e.g., integral transforms) applied to PDEs

Software:

Maple; LPDO
PDFBibTeX XMLCite
Full Text: DOI

References:

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