Symbolic investigation of eigenvectors for general solution of a system of ODEs with a symbolic coefficient matrix

DOI10.1134/S0361768821010035zbMath1477.34112OpenAlexW3129363257MaRDI QIDQ2027839

Yanyan Li

Publication date: 28 May 2021

Published in: Programming and Computer Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0361768821010035

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (2)

Symbolic investigation of the spectral characteristics of guided modes in smoothly irregular waveguides ⋮ Symbolic-numerical implementation of the Galerkin method for approximate solution of the waveguide diffraction problem

Uses Software

• Maple

Cites Work

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• The implementation of the symbolic-numerical method for finding the adiabatic waveguide modes of integrated optical waveguides in CAS Maple
• Symbolic-numeric implementation of the four potential method for calculating normal modes: an example of square electromagnetic waveguide with rectangular insert
• Analytical Calculations in Maple to Implement the Method of Adiabatic Modes for Modelling Smoothly Irregular Integrated Optical Waveguide Structures
• Joint application of the incomplete Galerkin method and scattering matrix method for modeling multilayer diffraction gratings
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media

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