Grassmannian spectral shooting

DOI10.1090/S0025-5718-10-02323-9zbMath1196.65132arXiv0710.1037OpenAlexW1999873750MaRDI QIDQ3584840

V. Thümmler, Simon J. A. Malham, Veerle Ledoux

Publication date: 30 August 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.1037

zbMATH Keywords

algorithmslinear stabilitynumerical examplesStiefel manifoldspectral theorycoherent structuresGrassmann manifoldsEkman boundary layerpure-point spectrumRiccati flowautocatalytic travelling wavesBoussinesq solitary wavesDrury-Oja flowEvans function shooting and matchingnumerical shooting

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

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Euler Versus Lagrange: The Role of Coordinates in Practical Evans-Function Computations, Partial differential systems with non-local nonlinearities: generation and solutions, Evans function computation for the stability of travelling waves, Numerical continuation of boundaries in parameter space between stable and unstable periodic travelling wave (wavetrain) solutions of partial differential equations, Root Following in Evans Function Computation, Stability of travelling waves in a \textit{Wolbachia} invasion, Numerical computation of an Evans function for travelling waves, Computing Evans functions numerically via boundary-value problems, Finding eigenvalues of holomorphic Fredholm operator pencils using boundary value problems and contour integrals, (In)stability of Travelling Waves in a Model of Haptotaxis, Computing the Maslov index for large systems, Semiclassical soliton ensembles for the three-wave resonant interaction equations, Numerical implementation of complex orthogonalization, parallel transport on Stiefel bundles, and analyticity, Spectral stability of pattern-forming fronts in the complex Ginzburg–Landau equation with a quenching mechanism

Uses Software

• MATCONT

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