Exponential asymptotics of woodpile chain nanoptera using numerical analytic continuation

DOI10.1111/sapm.12548arXiv2205.03066OpenAlexW4311470622MaRDI QIDQ6148574

Christopher J. Lustri, Guo Deng

Publication date: 7 February 2024

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.03066

zbMATH Keywords

analytic continuationexponential asymptoticsnanopteraAAA approximation

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the existence of solitary traveling waves for generalized Hertzian chains
• Stokes' phenomenon; smoothing a Victorian discontinuity
• Exponential asymptotics of localised patterns and snaking bifurcation diagrams
• Theory of nonlinear lattices
• The devil's invention: Asymptotic, superasymptotic and hyperasymptotic series
• Existence theorem for solitary waves on lattices
• Representation of conformal maps by rational functions
• Semiclassical dynamics with exponentially small error estimates
• Exponential node clustering at singularities for rational approximation, quadrature, and PDEs
• Nanoptera in nonlinear woodpile chains with zero precompression
• A unified view of some numerical methods for fractional diffusion
• Nanoptera and Stokes curves in the 2-periodic Fermi-Pasta-Ulam-Tsingou equation
• Numerical conformal mapping with rational functions
• Steady gravity waves due to a submerged source
• Unsteady flow over a submerged source with low Froude number
• Exponential Asymptotics for Solitons in PT-Symmetric Periodic Potentials
• Exponential Asymptotics and Capillary Waves
• Nanoptera in a Period-2 Toda Chain
• The equilibrium phase in heterogeneous Hertzian chains
• Interactions of solitary waves in integrable and nonintegrable lattices
• Asymptotics beyond All Orders in a Model of Crystal Growth
• Exponential asymptotics and gravity waves
• $\mathcal{H}_2$ Model Reduction for Large-Scale Linear Dynamical Systems
• On the Scalar Rational Interpolation Problem
• On Exponential Asymptotics for Nonseparable Wave Equations I: Complex Geometrical Optics and Connection
• On Exponential Asymptotics for Nonseparable Wave Equations II: EBK Quantization
• The toda shock problem
• Exponential asymptotics and Stokes lines in nonlinear ordinary differential equations
• Exponential Asymptotics in a Singular Limit for n-Level Scattering Systems
• The asymptotic quasinormal mode spectrum of non-rotating black holes
• Topological expansion and exponential asymptotics in 1D quantum mechanics
• Integrals of the Toda lattice
• On the Toda Lattice. II: Inverse-Scattering Solution
• The Toda lattice. II. Existence of integrals
• Rational Minimax Approximation via Adaptive Barycentric Representations
• Hyperasymptotics
• The fragmentation of a line of balls by an impact
• Uniform asymptotic smoothing of Stokes’s discontinuities
• Stokes Phenomenon and Matched Asymptotic Expansions
• Exponential Asymptotics for Thin Film Rupture
• Nanoptera in Weakly Nonlinear Woodpile Chains and Diatomic Granular Chains
• Automatic rational approximation and linearization of nonlinear eigenvalue problems
• Selection of a Hele-Shaw Bubble via Exponential Asymptotics
• Solving Laplace Problems with Corner Singularities via Rational Functions
• Traveling waves and their tails in locally resonant granular systems
• Generalized Rational Krylov Decompositions with an Application to Rational Approximation
• The RKFIT Algorithm for Nonlinear Rational Approximation
• The AAA Algorithm for Rational Approximation

This page was built for publication: Exponential asymptotics of woodpile chain nanoptera using numerical analytic continuation