Keyphrases
Heat Kernel
100%
Eigenmodes
66%
Varying Refractive Index
66%
Asymptotic Expansion
66%
Refractive Index Profile
66%
Sub-Laplacian
57%
Grushin Operator
52%
Subelliptic Operators
50%
Subelliptic
50%
Optical Waveguides
44%
Heisenberg
42%
Partial Differential Operators
41%
Tangential Vector Fields
33%
Upper Half-plane
33%
High Step
33%
CGMY Model
33%
Painlevé Equations
33%
Linear Difference Equations
33%
Uniform Asymptotic Expansions
33%
Real Solutions
33%
Large Initial Data
33%
Efficient Approximation
33%
American Options
33%
Heat Kernel Asymptotics
33%
Dispersion Equation
33%
Optimal Error Bound
33%
Holomorphic
33%
Waveguide
33%
Landau Constants
33%
Special Functions
33%
Dispersion Relation
33%
Refractive Index
33%
Numerical Simulation
30%
Sturm-Liouville Problem
22%
Piecewise Polynomial
22%
Helmholtz Operator
22%
Eigenvalue Problem
22%
Index Function
22%
Second-order Difference Equation
16%
Small Shift
16%
Second-order Linear Difference Equation
16%
Linearly Independent
16%
Infinite Interval
16%
Rational numbers
16%
Gaussian Hypergeometric Function
16%
Integral Representation
16%
Sharp Bound
16%
Bender
16%
Rigorous Proof
16%
Laplace Integral
16%
Geodesic Structure
16%
Laplace Method
16%
Asymptotic Solution
16%
Real numbers
16%
Connection Formulas
16%
Uniform Asymptotics
16%
Real Axis
16%
Bessel Functions
16%
Stokes multipliers
16%
Laguerre-type Weights
16%
Time Asymptotic Expansion
16%
Small-time Asymptotics
16%
Stationary Phase Method
16%
Steepest Descent Method
16%
Heisenberg Group
16%
Absolute Value
16%
Orthogonal Polynomials
16%
Iterative Manner
16%
Positive Integer
16%
Integrand
16%
Truncation
16%
Arbitrary Order
16%
Hamilton-Jacobi Equation
16%
Initial Value Problem
16%
Behavior Type
16%
Sub-Riemannian Geometry
13%
Whittaker Function
11%
Open Waveguide
11%
Kummer Function
11%
Secant Method
11%
Perfectly Matched Layer
11%
Muller's Method
11%
Numerical Methods
11%
Approximate Solution
11%
Finite Difference Method
11%
Fine Grid
11%
Modal
11%
Geometric Method
9%
Optimal Exercise Price
8%
European Options
8%
CGMY Process
8%
Optimal Exercise Boundary
8%
Approximate Value
8%
American Values
8%
Decomposition Formula
8%
Price Value
8%
Approximation Formula
8%
Integral Equations
8%
Analytical Approximation
8%
Time to Maturity
8%
Subelliptic Heat Kernel
8%
Principal Part
8%
Elliptic Operators
8%
Vector Field
8%
Generating Vector
8%
Resume
8%
Sum of Squares
8%
Mathematics
Heat Kernel
100%
Asymptotic Expansion
100%
Asymptotics
61%
Approximates
41%
Partial Differential Operator
40%
Fundamental Solution
38%
Subelliptic Operator
33%
Dispersion Relation
33%
Sharp Bound
33%
Hypergeometric Function
33%
Truncation
33%
Positive Rational Number
33%
Integral Representation
33%
Initial Datum
33%
Linear Difference Equation
33%
Transition Point
33%
American Option
33%
Difference Equation
33%
Absolute Value
33%
Laplace Operator
33%
Error Bound
33%
Vector Field
23%
Integral
22%
Dispersion Equation
22%
Elliptic Operator
17%
Upper Half Plane
16%
Negative Real Axis
16%
Limiting Form
16%
Initial-Value Problem
16%
Special Function
16%
Hamilton-Jacobi Equation
13%
Integrand
13%
Riemannian Geometry
11%
Sturm-Liouville Problem
11%
Secant Method
11%
Real Number
11%
Type Weight
11%
Bessel Function
11%
Infinite Interval
11%
Steepest Descent
11%
Heisenberg Group
11%
Laplace Method
11%
Positive Integer
11%
Eigenvalue Problem
11%
Polynomial
11%
Orthogonal Polynomial
11%
Subinterval
11%
Main Result
11%
Mathematical Method
11%
CGMY Process
8%
Integral Equation
8%
Explicit Form
8%
Generating Vector
6%
Sum of Squares
6%
Engineering
Eigenmode
66%
Refractive Index Profile
66%
Waveguide
66%
Explicit Form
33%
Dispersion Relation
33%
Dispersion Equation
33%
Analytical Study
33%
Refractive Index
33%
Refractivity
33%
Subinterval
22%
Index Function
22%
Sturm Liouville Problem
22%
Helmholtz's Law
22%
Eigenvalue
22%
Numerical Method
11%
Derjaguin-Muller-Toporov Model
11%
Approximate Solution
11%
Finite Difference Method
11%
Initial Value
11%