Asymptotics beyond All Orders [E-Book] / edited by Harvey Segur, Saleh Tanveer, Herbert Levine.
An asymptotic expansion is a series that provides a sequence of increasingly accurate approximations to a function in a particular limit. The formal definition, given by Poincare (1886, Acta Math. 8:295), is as follows. Given a function,.
Saved in:
Full text |
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Personal Name(s): | Levine, Herbert, editor |
Segur, Harvey, editor / Tanveer, Saleh, editor | |
Imprint: |
Boston, MA :
Springer,
1991
|
Physical Description: |
408p. online resource. |
Note: |
englisch |
ISBN: |
9781475704358 |
DOI: |
10.1007/978-1-4757-0435-8 |
Series Title: |
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NATO ASI Series, Series B: Physics ;
284 |
Subject (LOC): |
- Asymptotology and Borel Summation
- Asymptotics, Superasymptotics, Hyperasymptotics
- Computation of Transcendental Effects in Growth Problems: Linear Solvability Conditions and Nonlinear Methods- The Example of the Geometric Model
- The Geometric Model of Crystal Growth
- The Geometric Model of Crystal Growth: An Overview
- Numerical Analysis of the Geometric Model for Dendritic Growth of Crystals
- Dendritic Crystal Growth
- Dendritic Crystal Growth-Overview
- An Experimental Assessment of Continuum Models of Dendritic Growth
- A New Formulation for Dendritic Crystal Growth in Two Dimensions
- Directional Solidification of Solids
- Directional Growth of Dilute Mixtures and Lamellar Eutectics
- A Flat Interface and Its Unfolding Bifurcations
- Flow in a Hele-Shaw Cell (Also known as VISCOUS FINGERING)
- Viscous Displacement in a Hele-Shaw Cell
- Saffman-Taylor Viscous Fingering in a Wedge
- Saffman-Taylor Problem in a Sector Geometry
- The Rapidly Forced Pendulum
- Exponentially Small Estimate for Separatrix Splittings
- Exponentially Small Phenomena in the Rapidly Forced Pendulum
- Proof of An Asymptotic Symmetry of the Rapidly Forced Pendulum
- Ordinary Differential Equations
- Exponentially Small Oscillations in the Solution of an Ordinary Differential Equation
- Singular Perturbations of Solitons
- Reflection Coefficient Beyond All Orders for Singular Problems
- Laminar Flow in a Porous Channel
- Existence and Stability of Particle Channeling in Crystals on Time-Scales Beyond All Orders
- Solitary Water Waves in the Presence of Small Surface Tension
- Gravity-Capillary Free Surface Flows
- Solitary Waves With Ripples Beyond All Orders
- Generalized Solitary Waves in a Stratified Fluid
- Problems in Optics
- Bending Losses in Optical Fibers
- Exponential Asymptotics and Spectral Theory for Curved Optical Waveguides
- Solitary Waves in Self-Induced Transparency
- Potpourri
- Exponential Asymptotics for Partial Differential Equations
- Problems of Existence of Nontopological Solitons (Breathers) for Nonlinear Klein-Gordon Equations
- Exponentially Small Residues Near Analytic Invariant Circles
- Asymptotics of Partial Differential and the Renormalization Group.