ACTA 2017: APPROXIMATION AND COMPUTATION – THEORY AND APPLICATIONS

This page contains an index consisting of author-provided keywords.

6
62E15	Bayesian prediction of order statistics based on record values from generalized exponential distribution
62F10	Bayesian prediction of order statistics based on record values from generalized exponential distribution
62F15	Bayesian prediction of order statistics based on record values from generalized exponential distribution
62G30	Bayesian prediction of order statistics based on record values from generalized exponential distribution
62N02	Bayesian prediction of order statistics based on record values from generalized exponential distribution
A
Abel-Jensen formula	An Extension of Stancu Operator
activation function	RNN solution of linear matrix equation and its applications
AdaBoost	Application of machine learning algorithms to high frequency trading
advection-diffusion equation	Numerical solution of one-dimensional advection-diffusion equation with constant and periodic boundary conditions
advection-diffusion reaction equation	Unconditionally positive finite difference and standard finite difference schemes for advection–diffusion reaction equations
Algorithm	Numerical evaluations on power series including the numbers of Lyndon words and interpolation functions for the Apostol-type polynomials
Analytic inequalities	One method for proving some classes of analytical inequalities
Apostol-type numbers and polynomials	Numerical evaluations on power series including the numbers of Lyndon words and interpolation functions for the Apostol-type polynomials
Approximation	Approximations in an investigation of the vibro-impact dynamics of rolling bodies in successive central collisions on curvilinear trace
Arithmetical function	Numerical evaluations on power series including the numbers of Lyndon words and interpolation functions for the Apostol-type polynomials
automatic proving	One method for proving some classes of analytical inequalities
B
Bernoulli numbers and polynomials	Generating functions for some special polynomials including Poisson-Charlier, Hermite type, Milne-Thomson type and the other polynomials
biased probability	Minimax Approximation and Probability. Estimating the parameter of a biased coin
Bidiagonal matrices	Note on right zero divisors in the ring of infinite upper triangular matrices over a field
Bilateral and Bilinear generating function	Miscellaneous Properties for a Class of Analytic Functions Defined by Rodrigues Type Formula
Binet weight function	Binet-type polynomials and their zeros
Binomial coefficient	Numerical evaluations on power series including the numbers of Lyndon words and interpolation functions for the Apostol-type polynomials
Boundary layer flow	A Semi-Analytical Approach to Solve a Flow Model
C
Caputo derivative	Pseudospectral method for time-fractional differential equation with boundary conditions
Cauchy singular integral equations	On a quadrature method for Prandtl's integro-differential equations in weighted Zygmund spaces with uniform norm
channel discharge function	Calculation of the channel discharge function for the generalized lightning traveling current source return stroke model
Chebyshev weight function of the first kind	Error bounds for Kronrod extension of generalizations of Micchelli-Rivlin quadrature formula for analytic functions
Colombeau algebra	Approximation of generalized stochastic processes
Conjugate gradient method	Analysis of a class of conjugate gradient methods
Conjugate gradient parameter	Analysis of a class of conjugate gradient methods
Continued fractions	On the Use of Continued Fractions to Solve Binary Quadratic Diophantine Equations
Contour integral	Error bounds for Kronrod extension of generalizations of Micchelli-Rivlin quadrature formula for analytic functions
Convergence	Finite difference method for the 2D heat equation with concentrated capacity
Cubature rules	Error Estimates for Certain Cubature Formulae
D
Delta function	Finite difference method for the 2D heat equation with concentrated capacity
diagonalization in time	Five Decades of Time Parallel Time Integration: Best Current Methods for Parabolic and Hyperbolic Problems
Differential equation	Miscellaneous Properties for a Class of Analytic Functions Defined by Rodrigues Type Formula
Diophantine equations	On the Use of Continued Fractions to Solve Binary Quadratic Diophantine Equations
disjoint domains	Parabolic-Hyperbolic Transmission Problem in Disjoint Domains
dynamic equation	RNN solution of linear matrix equation and its applications
E
Error bound	Error bounds for Kronrod extension of generalizations of Micchelli-Rivlin quadrature formula for analytic functions
Error estimation	Error estimations of Turan formulas with Gori-Micchelli and generalized Chebyshev weight functions
Euler numbers and polynomials	Generating functions for some special polynomials including Poisson-Charlier, Hermite type, Milne-Thomson type and the other polynomials
exponential traveling wave	Unconditionally positive finite difference and standard finite difference schemes for advection–diffusion reaction equations
Exponential weights	Polynomial approximation of functions with exponential monotonicity A Nyström method for Fredholm integral equations with exponential weights on (0,+∞)
F
Feature engineering	Application of machine learning algorithms to high frequency trading
Fibonacci sequences	On the Use of Continued Fractions to Solve Binary Quadratic Diophantine Equations
finite difference schemes	Unconditionally positive finite difference and standard finite difference schemes for advection–diffusion reaction equations Numerical solution of one-dimensional advection-diffusion equation with constant and periodic boundary conditions
Fractional differential equation	Pseudospectral method for time-fractional differential equation with boundary conditions
Fredholm integral equation	A Nyström method for Fredholm integral equations with exponential weights on (0,+∞)
Functional equation	Generating functions for some special polynomials including Poisson-Charlier, Hermite type, Milne-Thomson type and the other polynomials
G
Gauss quadrature	Gauss quadrature and incurable breakdown in the Lanczos algorithm
Gauss quadrature formula	Gauss-Kronrod quadrature: Recent advances and open questions
Gauss-Kronrod quadrature formula	Gauss-Kronrod quadrature: Recent advances and open questions
Gauss-Turan quadrature formulas	Error estimations of Turan formulas with Gori-Micchelli and generalized Chebyshev weight functions
Gaussian quadrature rules	On a quadrature method for Prandtl's integro-differential equations in weighted Zygmund spaces with uniform norm
Gaussian rule	On the stability of a modified Nyström method for Mellin convolution equations A Nyström method for Fredholm integral equations with exponential weights on (0,+∞)
Generalized averaged Gaussian formulas	Error Estimates for Certain Cubature Formulae
Generalized Chebyshev weight function of the second kind	Error estimations of Turan formulas with Gori-Micchelli and generalized Chebyshev weight functions
Generating function	Miscellaneous Properties for a Class of Analytic Functions Defined by Rodrigues Type Formula Generating functions for some special polynomials including Poisson-Charlier, Hermite type, Milne-Thomson type and the other polynomials
Geronimus transformations	Orthogonal polynomials, Geronimus transformations and quadrature rules
Gori-Micchelli weight function	Error estimations of Turan formulas with Gori-Micchelli and generalized Chebyshev weight functions
Gradient Boosting	Application of machine learning algorithms to high frequency trading
Groundwater flow simulations	Non-linear multi-point flux approximation in the near-well region
GTCS model	Calculation of the channel discharge function for the generalized lightning traveling current source return stroke model
H
Heat transfer	A Semi-Analytical Approach to Solve a Flow Model
Hermite polynomial	Miscellaneous Properties for a Class of Analytic Functions Defined by Rodrigues Type Formula
Hermite polynomials	Generating functions for some special polynomials including Poisson-Charlier, Hermite type, Milne-Thomson type and the other polynomials Multiple Hermite polynomials and simultaneous quadrature Approximation of generalized stochastic processes
High frequency trading	Application of machine learning algorithms to high frequency trading
Hurwitz-Lerch zeta function	Numerical evaluations on power series including the numbers of Lyndon words and interpolation functions for the Apostol-type polynomials
Hypersingular integrals	A product integration rule for hypersingular integrals on the positive semi-axis
I
incurable breakdown	Gauss quadrature and incurable breakdown in the Lanczos algorithm
inexact methods	Stochastic Approximation Method with Second Order Search Directions
Infinite upper triangular matrices	Note on right zero divisors in the ring of infinite upper triangular matrices over a field
Integer solutions	On the Use of Continued Fractions to Solve Binary Quadratic Diophantine Equations
Internality	Internality of truncated generalized averaged Gaussian quadratures
Interpolation function	Numerical evaluations on power series including the numbers of Lyndon words and interpolation functions for the Apostol-type polynomials
J
Jacobi matrix	Internality of truncated generalized averaged Gaussian quadratures
Jacobi polynomials	Pseudospectral method for time-fractional differential equation with boundary conditions
Jacobi-Stirling numbers	On generalized Whitney numbers
K
Kronrod extension	Error estimations of Turan formulas with Gori-Micchelli and generalized Chebyshev weight functions
Kronrod extension of the generalizations of Micchelli-Rivlin quadrature formula	Error bounds for Kronrod extension of generalizations of Micchelli-Rivlin quadrature formula for analytic functions
L
Lagrange interpolation	Polynomial approximation of functions with exponential monotonicity A product integration rule for hypersingular integrals on the positive semi-axis
Lanczos algorithm	Gauss quadrature and incurable breakdown in the Lanczos algorithm
Legendre-Stirling numbers	On generalized Whitney numbers
Lipschitz continuous function	An Extension of Stancu Operator
Lucas sequences	On the Use of Continued Fractions to Solve Binary Quadratic Diophantine Equations
Lyndon words	Numerical evaluations on power series including the numbers of Lyndon words and interpolation functions for the Apostol-type polynomials
M
Mellin convolution integral equations	On the stability of a modified Nyström method for Mellin convolution equations
Mellin kernel	On the stability of a modified Nyström method for Mellin convolution equations
Milne-Thomson polynomials	Generating functions for some special polynomials including Poisson-Charlier, Hermite type, Milne-Thomson type and the other polynomials
minimax and maximin optimization	Minimax Approximation and Probability. Estimating the parameter of a biased coin
mixed trigonometric polynomial functions	One method for proving some classes of analytical inequalities
Modulus of smoothnes	An Extension of Stancu Operator
Monotonicity	Binet-type polynomials and their zeros
Multi-index	Construction of the optimal set of quadrature rules in the sense of Borges
Multi-point nonlinear finite volume method	Non-linear multi-point flux approximation in the near-well region
Multiple orthogonal polynomials	Multiple Hermite polynomials and simultaneous quadrature Construction of the optimal set of quadrature rules in the sense of Borges
N
Nash-equilibrium	Minimax Approximation and Probability. Estimating the parameter of a biased coin
Near-well modeling	Non-linear multi-point flux approximation in the near-well region
Newton-like methods	Stochastic Approximation Method with Second Order Search Directions
nonlinear optimization	P-regular nonlinear optimization -- calculus and methods
nonlocal integral conjugation conditions	Parabolic-Hyperbolic Transmission Problem in Disjoint Domains
Nystr\"om method	A Nyström method for Fredholm integral equations with exponential weights on (0,+∞)
Nyström method	On the stability of a modified Nyström method for Mellin convolution equations
O
Operational matrix	Pseudospectral method for time-fractional differential equation with boundary conditions
Optimal set of quadrature rules	Construction of the optimal set of quadrature rules in the sense of Borges
optimality conditions	P-regular nonlinear optimization -- calculus and methods
orthogonal expansion	Approximation of generalized stochastic processes
Orthogonal polynomials	Binet-type polynomials and their zeros Generating functions for some special polynomials including Poisson-Charlier, Hermite type, Milne-Thomson type and the other polynomials On a quadrature method for Prandtl's integro-differential equations in weighted Zygmund spaces with uniform norm A product integration rule for hypersingular integrals on the positive semi-axis
outer inverse	RNN solution of linear matrix equation and its applications
P
p-adic integral	Generating functions for some special polynomials including Poisson-Charlier, Hermite type, Milne-Thomson type and the other polynomials
Padé approximant	A Semi-Analytical Approach to Solve a Flow Model
paraexp	Five Decades of Time Parallel Time Integration: Best Current Methods for Parabolic and Hyperbolic Problems
parareal	Five Decades of Time Parallel Time Integration: Best Current Methods for Parabolic and Hyperbolic Problems
Partial differential equations	Finite difference method for the 2D heat equation with concentrated capacity
periodic boundary conditions	Numerical solution of one-dimensional advection-diffusion equation with constant and periodic boundary conditions
Poisson-Charlier polynomials	Generating functions for some special polynomials including Poisson-Charlier, Hermite type, Milne-Thomson type and the other polynomials
Polynomial approximation	Polynomial approximation of functions with exponential monotonicity
polynomial interpolation and approximation	Minimax Approximation and Probability. Estimating the parameter of a biased coin
Product integration rules	A product integration rule for hypersingular integrals on the positive semi-axis
Product of Gaussian formulas	Error Estimates for Certain Cubature Formulae
pseudoinverse	RNN solution of linear matrix equation and its applications
Q
quadrature methods	Calculation of the channel discharge function for the generalized lightning traveling current source return stroke model
Quasi-orthogonality	Orthogonal polynomials, Geronimus transformations and quadrature rules
R
r-Whitney numbers	On generalized Whitney numbers
real semiaxis	A Nyström method for Fredholm integral equations with exponential weights on (0,+∞)
Recurrence relation	Miscellaneous Properties for a Class of Analytic Functions Defined by Rodrigues Type Formula
Recurrent neural network	RNN solution of linear matrix equation and its applications
regularity condition	P-regular nonlinear optimization -- calculus and methods
regularization	Approximation of generalized stochastic processes
Remainder term for analytic functions	Error bounds for Kronrod extension of generalizations of Micchelli-Rivlin quadrature formula for analytic functions
return strokes	Calculation of the channel discharge function for the generalized lightning traveling current source return stroke model
Riemann zeta function	Numerical evaluations on power series including the numbers of Lyndon words and interpolation functions for the Apostol-type polynomials
Rodrigues formula	Miscellaneous Properties for a Class of Analytic Functions Defined by Rodrigues Type Formula
Rolling bodies	Approximations in an investigation of the vibro-impact dynamics of rolling bodies in successive central collisions on curvilinear trace
S
Schwarz waveform relaxation	Five Decades of Time Parallel Time Integration: Best Current Methods for Parabolic and Hyperbolic Problems
simultaneous quadrature	Multiple Hermite polynomials and simultaneous quadrature
Singular integro-differential equations	On a quadrature method for Prandtl's integro-differential equations in weighted Zygmund spaces with uniform norm
singularity	P-regular nonlinear optimization -- calculus and methods
Sobolev norm	Finite difference method for the 2D heat equation with concentrated capacity
Special functions	Generating functions for some special polynomials including Poisson-Charlier, Hermite type, Milne-Thomson type and the other polynomials
Special numbers and polynomials	Generating functions for some special polynomials including Poisson-Charlier, Hermite type, Milne-Thomson type and the other polynomials Numerical evaluations on power series including the numbers of Lyndon words and interpolation functions for the Apostol-type polynomials
Spectral method	Pseudospectral method for time-fractional differential equation with boundary conditions
Stancu operator	An Extension of Stancu Operator
Stieltjes polynomials	Gauss-Kronrod quadrature: Recent advances and open questions
Stirling numbers	Generating functions for some special polynomials including Poisson-Charlier, Hermite type, Milne-Thomson type and the other polynomials On generalized Whitney numbers
stochastic approximation	Stochastic Approximation Method with Second Order Search Directions
subsampled Hessian	Stochastic Approximation Method with Second Order Search Directions
Supervised machine learning	Application of machine learning algorithms to high frequency trading
Support Vector Machine	Application of machine learning algorithms to high frequency trading
symmetric functions	On generalized Whitney numbers
T
time parallel algorithms	Five Decades of Time Parallel Time Integration: Best Current Methods for Parabolic and Hyperbolic Problems
transmission problem	Parabolic-Hyperbolic Transmission Problem in Disjoint Domains
Truncated averaged Gaussian quadrature	Internality of truncated generalized averaged Gaussian quadratures
U
unconstrained optimization	Stochastic Approximation Method with Second Order Search Directions
V
Vibro-impact dynamics	Approximations in an investigation of the vibro-impact dynamics of rolling bodies in successive central collisions on curvilinear trace
Volterra Integral equation	Calculation of the channel discharge function for the generalized lightning traveling current source return stroke model
W
Whitney numbers	On generalized Whitney numbers
Wolfe line search	Analysis of a class of conjugate gradient methods
Z
Zero divisors	Note on right zero divisors in the ring of infinite upper triangular matrices over a field
Zeros	Binet-type polynomials and their zeros
Zeros and Christoffel numbers	Orthogonal polynomials, Geronimus transformations and quadrature rules

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