Trigonometric spline and spectral bounds for the solution of linear time-periodic systems

DOI10.1007/s12190-016-1001-3zbMath1385.65045OpenAlexW2340464604WikidataQ59528832 ScholiaQ59528832MaRDI QIDQ1676976

Jonas Denißen, Peter Benner, Ludwig Kohaupt

Publication date: 10 November 2017

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-016-1001-3

zbMATH Keywords

stabilityerror estimatesinitial value problemtruncation errorspectral methodstrigonometric approximationweighted normtrigonometric splinesFloquet's theoremChebyshev projectionCantilever beamrotor-bearing systemstime-periodic system

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical optimization and variational techniques (65K10) Linear systems in control theory (93C05) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (1)

On the existence and uniqueness of \((N,\lambda )\)-periodic solutions to a class of Volterra difference equations

Uses Software

• Matlab
• RODAS
• MATLAB expm

Cites Work

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• On the vibration-suppression property and monotonicity behavior of a special weighted norm for dynamical systems \(\dot x=Ax, x(t_0)=x_0\)
• Enhanced damping of a cantilever beam by axial parametric excitation
• Solution and stability of a set of \(p\)th order linear differential equations with periodic coefficients via Chebyshev polynomials
• Differential calculus for \(p\)-norms of complex-valued vector functions with applications
• Solution of the matrix eigenvalue problem \(VA+A^{*}V=\mu V\) with applications to the study of free linear dynamical systems
• The stability of solutions of linear differential equations
• The Quadratic Eigenvalue Problem
• Scatter Search and Local NLP Solvers: A Multistart Framework for Global Optimization
• The Scaling and Squaring Method for the Matrix Exponential Revisited
• Stability analysis of systems with periodic coefficients: An approximate approach
• Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
• Spectral Methods in MATLAB
• Stability and Asymptotic Estimates in Nonautonomous Linear Differential Systems
• Solving Ordinary Differential Equations II
• Is Gauss Quadrature Better than Clenshaw–Curtis?
• Spline function approximations for solutions of ordinary differential equations
• Numerical Methods for the Simulation of Turbulence
• Differential calculus for some \(p\)-norms of the fundamental matrix with applications

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