Keywords: چندجمله ای چبیشف; Gross-Pitaevskii equation; Spectral collocation methods; Chebyshev polynomials;
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Keywords: چندجمله ای چبیشف; Meshless method; Weighted residual; Non-constant coefficient; High-order element; Chebyshev polynomials; Fictitious domain method; Domain decomposition
Keywords: چندجمله ای چبیشف; Hermite basis; Spectral norms; Chebyshev polynomials; Collocation points; Error estimates;
Keywords: چندجمله ای چبیشف; Chebyshev polynomials; Curve fitting; Laser rangefinder; Monocular camera;
Keywords: چندجمله ای چبیشف; Lanczos Tau method; Chebyshev polynomials; Initial value problems; Canonical polynomial; Ordinary differential equations
Keywords: چندجمله ای چبیشف; Chebyshev polynomials; Particular solutions; The method of fundamental solutions; Collocation Trefftz method; Poisson equation; Modified Helmholtz equation
Keywords: چندجمله ای چبیشف; 11G20; 11M38; 14G15; 14H25; Finite field; Maximal curves; Genus; Chebyshev polynomials;
Predicting the crack open displacements of a partially debonded pipeline in rock mass under SH waves
Keywords: چندجمله ای چبیشف; Partially debonded pipeline; Crack open displacements; SH waves; Chebyshev polynomials;
Digital PI-PD controller design for arbitrary order systems: Dominant pole placement approach
Keywords: چندجمله ای چبیشف; PID controllers; Discrete-time domain; Relative stabilization; Dominant pole placement; Chebyshev polynomials; Fan and plate system;
Adaptive numerical approach based upon Chebyshev operational vector for nonlinear Volterra integral equations and its convergence analysis
Keywords: چندجمله ای چبیشف; Nonlinear Volterra integral equations; Operational vector; Chebyshev polynomials; Convergence analysis;
A block matrix formulation for efficient g-function construction
Keywords: چندجمله ای چبیشف; g-function; Block matrix notation; Chebyshev polynomials; Ground heat exchanger; Finite line-source model; Convolution matrix;
Comparison of Chebyshev and Legendre polynomials methods for solving two dimensional Volterra - Fredholm integral equations
Keywords: چندجمله ای چبیشف; Chebyshev polynomials; Legendre polynomials; Two dimensional integral equations; Collocation points; 65R20; 41A50; 41A55; 65M70;
Thermal post-buckling of FG-CNT reinforced composite plates
Keywords: چندجمله ای چبیشف; Thermal post-buckling; Carbon nanotube reinforced composite; Ritz method; Chebyshev polynomials; Rectangular plate; von-Kármán nonlinearity;
The Crane equation uuxx=â2: The general explicit solution and a case study of Chebyshev polynomial series for functions with weak endpoint singularities
Keywords: چندجمله ای چبیشف; Pseudospectral; Chebyshev polynomials; 33F05; 42A10;
SzegÅ-Widom asymptotics of Chebyshev polynomials on circular arcs
Keywords: چندجمله ای چبیشف; 41A50; 30E15; 30C10; Chebyshev polynomials; Uniform approximation; SzegÅ-Widom asymptotics; Reproducing kernels;
Sparse regression Chebyshev polynomial interval method for nonlinear dynamic systems under uncertainty
Keywords: چندجمله ای چبیشف; Uncertain interval model; Sparse regression; Chebyshev polynomials; Response interval estimation of nonlinear dynamic systems; Ordinary differential equations (ODEs);
Short-time Chebyshev wave packet method for molecular photoionization
Keywords: چندجمله ای چبیشف; Time-dependent wave packet; Photoionization; Chebyshev polynomials;
A degree-increasing [N to N+1] homotopy for Chebyshev and Fourier spectral methods
Keywords: چندجمله ای چبیشف; Chebyshev polynomials; Continuation; Homotopy; Pseudospectral;
On the solutions of tridiagonal linear systems
Keywords: چندجمله ای چبیشف; Tridiagonal linear system; Inverse matrix; Chebyshev polynomials
Dynamical structures of Chebyshev polynomials on Z2Z2
Keywords: چندجمله ای چبیشف; primary, 37P05; secondary, 11S82, 37B05p-Adic dynamical system; Minimal decomposition; Chebyshev polynomials
Bridged cracks of mode III with surface elasticity
Keywords: چندجمله ای چبیشف; Surface elasticity; Crack bridging; Dugdale model; Cauchy singular integro-differential equations; Chebyshev polynomials; Collocation method
A Chebyshev technique for the solution of optimal control problems with nonlinear programming methods
Keywords: چندجمله ای چبیشف; Chebyshev polynomials; Optimal control problem; Nonlinear programming problems; Numerical optimization
A Chebyshev collocation method for a class of Fredholm integral equations with highly oscillatory kernels
Keywords: چندجمله ای چبیشف; 65D32; 65D99Fredholm integral equation; Highly oscillatory integral; Chebyshev collocation method; Filon–Clenshaw–Curtis method; Chebyshev polynomials
Five themes in Chebyshev spectral methods applied to the regularized Charney eigenproblem: Extra numerical boundary conditions, a boundary-layer-resolving change of coordinate, parameterizing a curve which is singular at an endpoint, extending the tau met
Keywords: چندجمله ای چبیشف; Pseudospectral; Confluent hypergeometric; Chebyshev polynomials; Baroclinic instability
A multiwavelet-based time-varying model identification approach for time-frequency analysis of EEG signals
Keywords: چندجمله ای چبیشف; Chebyshev polynomials; EEG data; Kalman filter; Mutual information; Wavelet; Orthogonal least squares (OLS); Time-varying system identification; Time-frequency analysis;
Invasion speeds of Triatoma dimidiata, vector of Chagas disease: An application of orthogonal polynomials method
Keywords: چندجمله ای چبیشف; Dispersal; Triatomines; Integrodifference equations; Saddle-point approximation; Chebyshev polynomials
Demazure flags, Chebyshev polynomials, partial and mock theta functions
Keywords: چندجمله ای چبیشف; Demazure flags; Mock theta functions; Chebyshev polynomials
Parameterized representation of macroscopic cross section for PWR reactor
Keywords: چندجمله ای چبیشف; Cross-section; Parameterized cross-sections; Chebyshev polynomials; Fuel burnup;
Pouzet–Runge–Kutta–Chebyshev method for Volterra integral equations of the second kind
Keywords: چندجمله ای چبیشف; Stabilized Runge–Kutta method; Pouzet type; Volterra integral equations; Extended stability region; Chebyshev polynomials; Stability function
Chebyshev–Blaschke products: Solutions to certain approximation problems and differential equations
Keywords: چندجمله ای چبیشف; primary, 30J10; secondary, 30E10, 30D05, 39B12Finite Blaschke products; Chebyshev polynomials; Ritt’s theorems; Least deviation from zero; Zolotarev’s problem
A Widom like formula for some Toeplitz plus Hankel determinants
Keywords: چندجمله ای چبیشف; Toeplitz plus Hankel determinants; Chebyshev polynomials; Widom formula;
On a conjecture of Widom
Keywords: چندجمله ای چبیشف; 42C05; 31A15Widom’s theory; Chebyshev polynomials; Supremum norm; Jordan arcs
Improving Petrov–Galerkin elements via Chebyshev polynomials and solving Fredholm integral equation of the second kind by them
Keywords: چندجمله ای چبیشف; Fredholm integral equations; Petrov–Galerkin elements; Petrov–Galerkin method; Regular pairs; Chebyshev polynomials; Generalized Petrov–Galerkin elements
A new explicit I-V model of a silicon solar cell based on Chebyshev Polynomials
Keywords: چندجمله ای چبیشف; I-V characteristics; Explicit I-V model; Chebyshev Polynomials; Analytical model;
Integer powers of anti-tridiagonal matrices of the form antitridiagn(a,0,b), a,b∈Ra,b∈R
Keywords: چندجمله ای چبیشف; Hankel matrices; Anti-tridiagonal matrices; Chebyshev polynomials
Spectral methods in non-tensor geometry, Part II: Chebyshev versus Zernike polynomials, gridding strategies and spectral extension on squircle-bounded and perturbed-quadrifolium domains
Keywords: چندجمله ای چبیشف; Pseudospectral; Hyperinterpolation; Chebyshev polynomials; Zernike polynomials; Radial basis functions; Group theory;
Chebyshev-Fourier spectral methods in bipolar coordinates
Keywords: چندجمله ای چبیشف; Pseudospectral; Chebyshev polynomials;
Fourier reconstruction of univariate piecewise-smooth functions from non-uniform spectral data with exponential convergence rates
Keywords: چندجمله ای چبیشف; Resampling; Non-uniform Fourier data; Edge detection; Chebyshev polynomials; Spectral convergence
Multivariate Markov-type and Nikolskii-type inequalities for polynomials associated with downward closed multi-index sets
Keywords: چندجمله ای چبیشف; 41A10; 41A17Approximation theory; Multivariate polynomial approximation; Markov inequality; Nikolskii inequality; Orthogonal polynomials; Downward closed sets; Legendre polynomials; Chebyshev polynomials; Jacobi polynomials; Gegenbauer polynomials
The formulas for the number of spanning trees in circulant graphs
Keywords: چندجمله ای چبیشف; Circulant graphs; Spanning trees; Asymptotic limit; Chebyshev polynomials;
“Quintication” method to obtain approximate analytical solutions of non-linear oscillators
Keywords: چندجمله ای چبیشف; Chebyshev polynomials; Cubic–quintic Duffing-harmonic oscillator; Frequency–amplitude relation; Jacobi elliptic functions; Nonlinear oscillators
Artificial Neural Network (ANN) to estimate reservoir parameters in Naturally Fractured Reservoirs using well test data
Keywords: چندجمله ای چبیشف; Artificial Neural Network; Well testing; Naturally Fractured Reservoir; Chebyshev polynomials; Stehfest algorithm; Fracture parameters;
Using the improved Petrov–Galerkin elements k−0k−0 for solving nonlinear Hammerstein–Fredholm integral equations
Keywords: چندجمله ای چبیشف; Improved Petrov–Galerkin elements; Hammerstein integral equations; Petrov–Galerkin method; Regular pairs; Chebyshev polynomials
A Chebyshev spectral method for solving Riemann–Liouville fractional boundary value problems
Keywords: چندجمله ای چبیشف; Chebyshev polynomials; Collocation method; Riemann–Liouville fractional calculus; Boundary value problems
Algorithms and convergence for Hermite interpolation based on extended Chebyshev nodal systems
Keywords: چندجمله ای چبیشف; Hermite-Fejér interpolation; Hermite interpolation; Barycentric expressions; Chebyshev polynomials; Convergence;
Flexural and in-plane vibration analysis of elastically restrained thin rectangular plate with cutout using Chebyshev-Lagrangian method
Keywords: چندجمله ای چبیشف; Rectangular plate with cutout; In-plane vibration; General boundary constraints; Chebyshev polynomials;
Symmetrizing grids, radial basis functions, and Chebyshev and Zernike polynomials for the D4 symmetry group; Interpolation within a squircle, Part I
Keywords: چندجمله ای چبیشف; Pseudospectral; Chebyshev polynomials; Zernike polynomials; Radial basis functions; Group theory; D4; Dihedral group;
Filon–Clenshaw–Curtis rules for a class of highly-oscillatory integrals with logarithmic singularities
Keywords: چندجمله ای چبیشف; 65D30; 42A15; 65Y20Numerical integration; Highly oscillatory integrals; Clenshaw–Curtis rules; Chebyshev polynomials; Logarithmic singularities
Numerical modeling of wave propagation in functionally graded materials using time-domain spectral Chebyshev elements
Keywords: چندجمله ای چبیشف; Functionally graded materials; Lamb wave propagation; Chebyshev polynomials; Spectral finite element; Finite element method;
Benchmarks in nonlocal elasticity defined by Eringen's integral model
Keywords: چندجمله ای چبیشف; Nonlocal elasticity; Elasticity benchmarks; Chebyshev polynomials; Fourier series; Nonlocal stress field;