Nonlinear Eigenvalue Methods for Linear Pointwise Stability of Nonlinear Waves
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Publication:5886245
DOI10.1137/22M1492969MaRDI QIDQ5886245
Publication date: 31 March 2023
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.12563
Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16)
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- Criteria for pointwise growth and their role in invasion processes
- Finding eigenvalues of holomorphic Fredholm operator pencils using boundary value problems and contour integrals
- Exponential dichotomies for nonlocal differential operators with infinite range interactions
- Relative morse indices, Fredholm indices, and group velocities
- On holomorphic families of subspaces of a Banach space
- Three-dimensional absolute and convective instabilities, and spatially amplifying waves in parallel shear flows
- The bound state of weakly coupled Schrödinger operators in one and two dimensions
- Front propagation into unstable states
- Absolute and convective instabilities of waves on unbounded and large bounded domains
- Stability of bright solitary-wave solutions to perturbed nonlinear Schrödinger equations
- Evans function and blow-up methods in critical eigenvalue problems
- Spectral and dynamical stability of nonlinear waves
- Computing absolute and essential spectra using continuation
- Spinodal decomposition and coarsening fronts in the Cahn-Hilliard equation
- Evans functions, Jost functions, and Fredholm determinants
- Efficient computation of analytic bases in Evans function analysis of large systems
- An efficient shooting algorithm for Evans function calculations in large systems
- Numerical aspects of searching convective/absolute instability transition
- On the Structure of Spectra of Modulated Travelling Waves
- Edge Bifurcations for Near Integrable Systems via Evans Function Techniques
- A stability index analysis of 1-D patterns of the Gray-Scott model
- Fredholm properties of nonlocal differential operators via spectral flow
- Root Following in Evans Function Computation
- GLOBAL INSTABILITIES IN SPATIALLY DEVELOPING FLOWS: Non-Normality and Nonlinearity
- On the numerical evaluation of Fredholm determinants
- A local greedy algorithm and higher-order extensions for global numerical continuation of analytically varying subspaces
- Exponential Dichotomies and Fredholm Operators
- Pointwise semigroup methods and stability of viscous shock waves
- Numerical Computation of Solitary Waves in Infinite Cylindrical Domains
- Instability of pulses in gradient reaction–diffusion systems: a symplectic approach
- The nonlinear eigenvalue problem
- Center manifolds without a phase space
- Eigenvalues, and instabilities of solitary waves
- Linear pulse structure and signalling in a film flow on an inclined plane
- Invariant Subspaces of Matrices with Applications
- Linear spreading speeds from nonlinear resonant interaction
- Localization Theorems for Nonlinear Eigenvalue Problems
- Universal selection of pulled fronts
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