Solving differential eigenproblems via the spectral Tau method

Solving differential eigenproblems via the spectral Tau method

The spectral Tau method to compute eigenpairs of ordinary differential equations is implemented as part of the Tau Toolbox—a numerical library for the solution of integro-differential problems. This mathematical software enables a symbolic syntax to be applied to objects to manipulate and solve diff...

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Veröffentlicht in:Numerical algorithms 2023-03, Vol.92 (3), p.1789-1811
Hauptverfasser: Vasconcelos, P.B., Roman, J.E., Matos, J.M.A.
Format: Artikel
Sprache:eng
Schlagworte:
Accuracy
Algebra
Algorithms
Approximation
Boundary conditions
Computer Science
Differential equations
Eigenvalues
Libraries
Numeric Computing
Numerical Analysis
Ordinary differential equations
Original Paper
Partial differential equations
Polynomials
Theory of Computation
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Beschreibung
Zusammenfassung:The spectral Tau method to compute eigenpairs of ordinary differential equations is implemented as part of the Tau Toolbox—a numerical library for the solution of integro-differential problems. This mathematical software enables a symbolic syntax to be applied to objects to manipulate and solve differential problems with ease and accuracy. The library is explained in detail and its application to various problems is illustrated: numerical approximations for linear, quadratic, and nonlinear differential eigenvalue problems.
ISSN:1017-1398
1572-9265
DOI:10.1007/s11075-022-01366-z