Uniform asymptotic smoothing of Stokes’s discontinuities
From MaRDI portal
Publication:4732718
DOI10.1098/rspa.1989.0018zbMath0683.33004OpenAlexW2139131426MaRDI QIDQ4732718
Publication date: 1989
Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1098/rspa.1989.0018
Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20) Asymptotic representations in the complex plane (30E15)
Related Items
Semiclassical quantization of truncated potentials, Exact four-point function and OPE for an interacting quantum field theory with space/time anisotropic scale invariance, On Solutions of Ordinary Differential Equations Arising from a Model of Crystal Growth, Integral representations for products of Airy functions, Making light of mathematics, Nanoptera in a Period-2 Toda Chain, Geometric aspects of the ODE/IM correspondence, Superadiabatic basis in cosmological particle production: application to preheating, Elliptical instability of a rapidly rotating, strongly stratified fluid, Critical layer and radiative instabilities in shallow-water shear flows, Exponential asymptotics for steady parasitic capillary ripples on steep gravity waves, Error analysis in a uniform asymptotic expansion for the generalised exponential integral, On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals. II: Complex variable, Uniform asymptotic expansions of integrals: A selection of problems, Various results for series expansions of the error functions with the complex variable and some of their implications, The resurgence properties of the Hankel and Bessel functions of nearly equal order and argument, Uniform convergent expansions of the error function in terms of elementary functions, The complex error functions and various extensive results together with implications pertaining to certain special functions, An analytic evaluation of gravitational particle production of fermions via Stokes phenomenon, The role of exponential asymptotics and complex singularities in self-similarity, transitions, and branch merging of nonlinear dynamics, On adiabatic subtraction in an inflating Universe, Large spin-2 signals at the cosmological collider, Borel and Stokes nonperturbative phenomena in topological string theory and \(c=1\) matrix models, Recurrence relationship of successive level singulants, Exponential asymptotics of woodpile chain nanoptera using numerical analytic continuation, Advances in QED with intense background fields, Asymptotics for the Kummer function of Bose plasmas, Applications of the cosecant and related numbers, Escaping superoscillations, Convergence from divergence, A stable recurrence for the incomplete gamma function with imaginary second argument, Stokes' phenomenon; smoothing a Victorian discontinuity, Non-adiabatic transitions in a tilted conical intersection, Phase transition in complex-time Loschmidt echo of short and long range spin chain, Nanoptera and Stokes curves in the 2-periodic Fermi-Pasta-Ulam-Tsingou equation, On Borel summation and Stokes phenomena for rank-\(1\) nonlinear systems of ordinary differential equations, Mechanisms underlying transient growth of planar perturbations in unbounded compressible shear flow, Globally Exact Asymptotics for Integrals with Arbitrary Order Saddles, Stokes phenomena in discrete Painlevé II, Smoothing of the Stokes phenomenon using Mellin-Barnes integrals, Exponentially-improved asymptotics for the gamma function, Late-order terms of second order ODEs in terms of pre-factors, Stokes line width, New gravity–capillary waves at low speeds. Part 2. Nonlinear geometries, Exponential Asymptotics for an Eigenvalue of a Problem Involving Parabolic Cylinder Functions, In memoriam Frank W. J. Olver (1924–2013), Mathematics that has intrigued me, The resurgence properties of the large-order asymptotics of the Hankel and Bessel functions, Exponentially small expansions of the Wright function on the Stokes lines, Non-Filippov dynamics arising from the smoothing of nonsmooth systems, and its robustness to noise, Time development of exponentially small non-adiabatic transitions, Borel summable solutions to one-dimensional Schrödinger equation, Lee-Yang zeros and stokes phenomenon in a model with a wetting transition, Error bounds, duality, and the Stokes phenomenon. I, The evanescent waves in geometrical optics and the mixed hyperbolic–elliptic type systems, The response field and the saddle points of quantum mechanical path integrals, Exponential asymptotics of localised patterns and snaking bifurcation diagrams, High-precision evaluation of the Bessel functions via Hadamard series, Gravitational production of superheavy dark matter and associated cosmological signatures, First-order general differential equation for multi-level asymptotics at higher levels and recurrence relationship of singulants, Nanoptera in nonlinear woodpile chains with zero precompression, A note on the Stokes phenomenon in flow under an elastic sheet, Nonlinear q-Stokes phenomena for q-Painlevé I, Surface wave excitation on a fluid-loaded flexible structure, The excitation and propagation of a two-dimensional ``leaky Rayleigh wave on an elastic solid under compressible fluid loading, The resurgence properties of the large order asymptotics of the Anger-Weber function I, The resurgence properties of the large order asymptotics of the Anger-Weber function II, RESONANCE AND THE LATE COEFFICIENTS IN THE SCATTERED FIELD OF A DIELECTRIC CIRCULAR CYLINDER, Orientation-Dependent Pinning and Homoclinic Snaking on a Planar Lattice, Asymptotics of reflectionless potentials, Distribution of solutions of the fastest apparent convergence condition in optimized perturbation theory and its relation to anti-Stokes lines, Capturing the cascade: a transseries approach to delayed bifurcations, Nanoptera in Weakly Nonlinear Woodpile Chains and Diatomic Granular Chains, Nanoptera in higher-order nonlinear Schrödinger equations: effects of discretization, Asymptotics of the Mittag-Leffler function \(E_a(z)\) on the negative real axis when \(a \rightarrow 1\), Exponential asymptotic expansions and approximations of the unstable and stable manifolds of singularly perturbed systems with the Hénon map as an example, Stokes phenomenon and gravitational particle production — How to evaluate it in practice, Dingle’s final main rule, Berry’s transition, and Howls’ conjecture *, Logarithmic catastrophes and Stokes’s phenomenon in waves at horizons, Asymptotics of evanescence
