Keywords: Bernstein operator; Remainder term; Upper bound; Divided difference; Bernstein quadrature formula; 41A10; 41A80; 65D32;
مقالات ISI (ترجمه نشده)
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Keywords: primary; 65D30; secondary; 65D32; Gauss quadrature; Averaged Gauss quadrature; Truncated generalized averaged Gauss quadrature; Internality of the quadrature; Modified Chebyshev measure of the second kind;
Keywords: 65D32; 65D30; Regularization; Integration of rapidly oscillating functions; Levin collocation method; Chebyshev differentiation matrix; Ill conditioned matrices; Stable methods for solving systems of linear algebraic equations;
Keywords: Laplace transform; Quadrature; Inverse Laplace transform; Laguerre polynomials; Fractional diffusion; 44A10; 65D32; 65M30; 33C45;
Keywords: 65D32; 41A25; 65B05; Clenshaw-Curtis quadrature; Endpoint singularities; Chebyshev coefficients; Convergence rate;
Keywords: 65D32; 65D30; Oscillatory function; Bessel transforms; Multiple integral; Numerical quadrature;
Keywords: 65D32; 65D30; Asymptotic expansions; Filon-type methods; Clenshaw-Curtis-Filon-type methods; Recurrence relations; Fast Fourier transform;
Keywords: 65D32; 92D25; Age-structured population models; Finite life-span; Survival probability; Numerical methods; Quadrature rules; Convergence analysis;
Keywords: 42C05; 65D05; 65D32; Orthogonal polynomials; Cubature; Christoffel-Darboux formula; Bézout identity;
Keywords: 33C55; 41A55; 65D30; 65D32; Quadrature rule on the sphere; Cubed Sphere; Spherical Harmonic;
Keywords: 65D30; 65D32; Cauchy principal value integral; Logarithmic singularity; Quadrature rule; Chebyshev interpolation; Uniform approximation; Three-term recurrence relations;
Keywords: 41A05; 65D05; 65L05; 65D32; Bivariate function approximation; Lagrange polynomial expansion; Bernoulli polynomial expansion; Poisson boundary value problems; Numerical cubature;
Keywords: 42A16; 42C05; 42C10; 47B36; 65D32; 65Q30; 81Q05; Numerical analysis; Integration formulas; Logarithmic singularities; Solid-state physics; 2-dimensional lattices; Graphene;
Keywords: Highly oscillatory integral; Complex integral; Gauss quadrature; Steepest descent method; 65D32; 65D30;
Keywords: 41A55; 65D32; 41A21; Hyper-singular integral; Gauss quadrature formula; Chebyshev series method; Nearly singular function;
Keywords: 65C20; 65D30; 65D32; 65N12; 65N15; 65N21; Infinite-dimensional Bayesian inverse problems; Curse of dimensionality; Hessian-based adaptive sparse quadrature; Sparse grid; Gaussian prior; Dimension-independent convergence analysis;
Keywords: 60G60; 42C40; 41A25; 65D32; 60G15; 33G55; Isotropic random fields; Sphere; Needlets; Gaussian; Multiscale;
Keywords: 15A16; 65F60; 65D32; 30C30; 65E05; Matrix functions; Quasiseparable matrices; Off-diagonal singular values; Decay bounds; Exponential decay; H-matrices;
Keywords: 65D30; 65D32; Oscillatory integral; Chebyshev interpolation; Error analysis; Uniform approximation; Three-term recurrence relation; Numerical stability;
Keywords: 65N30; 65D30; 65D32; Isogeometric analysis; Optimal quadrature rules; Generalized Gaussian quadrature rules; Reduced quadrature rules;
Keywords: 34B15; 45J15; 47H10; 65L12; 65D32; 65H10; 65N22Nonlocal problems; Integro-differential boundary value problems; Finite differences methods; Nonlocal algebraic systems; Iterative methods for solving nonlocal systems
Keywords: 65D32; 65D30Oscillatory Bessel transform; Oscillatory Bessel Hilbert transform; Whittaker W function; Gaussian quadrature rules
Keywords: 15B05; 65D32; 90C22; Cubature formula; Hankel matrix; Flat extension; Orthogonal polynomials; Border basis; Semidefinite programming;
Keywords: 65F60; 65D32; 05C50; 05C82; Matrix functions; Gauss quadrature; Block Lanczos algorithm; Complex networks;
Keywords: primary; 65D30; 65D32; 65F15; secondary; 41A55; Gauss quadrature; Anti-Gauss quadrature; Error estimate;
Keywords: Optimal quadrature formula; Singular integral of the Cauchy type; Sobolev space; 65D32;
Keywords: 65D32; 65D30; 41A55Extended cubature formulae; Polyharmonic functions; Polyharmonic degree of precision
Keywords: 41A55; 65D30; 65D32; 33C45Numerical integration; Singular integrals; Gaussian quadrature; Orthogonalization; Boundary element method
Keywords: 65D32; 41A55; 65F15Szegő polynomials; Orthogonal Laurent polynomials; Orthogonal rational functions; Szegő quadrature formulas; Hessenberg matrices; CMV matrices
Keywords: 65D32; 65D30Oscillatory Bessel Hilbert transform; Filon-type method; Gauss–Laguerre quadrature; Adaptive Clenshaw–Curtis quadrature
Keywords: 65D32; 65D30Bessel function; Oscillatory integrals; Singular integrals; Taylor polynomial; Filon-type method
Keywords: 65D30; 65D32; 65C05; 65C10Numerical integration; Quasi-Monte Carlo; Weil sum; Hölder continuity; Fourier series; Fourier cosine series; Walsh series
Keywords: 65D32; 65-05; 41A30; 41A63Higher dimensions; Parabolic equation; Heat potential; Separated representations; Tensor product approximation
The distance between the general Poisson summation formula and that for bandlimited functions; applications to quadrature formulae
Keywords: 41A80; 65D30; 65D32; 42A38; 46E15; 26A16; 46E35; 26A33; Harmonic analysis; Non-bandlimited functions; Fractional order Riesz derivatives; Lipschitz spaces; Numerical integration; Formulae with remainders; Derivative-free error estimates; Shift-invariant s
Full Length ArticlePolynomial interpolation on interlacingrectangular grids
Keywords: primary; 65D05; 65F40; secondary; 65D32; Multivariate interpolation; Padua points; Divided differences; Determinants;
New cubature formulas and Hermite-Hadamard type inequalities using integrals over some hyperplanes in the d-dimensional hyper-rectangle
Keywords: Cubature; Approximation; Componentwise convexity; Best constants; Error estimates; 65D32; 33C45; 41A44;
Minimal cubature rules and polynomial interpolation in two variables II
Keywords: 41A05; 65D05; 65D32; Cubature; Minimal cubature; Polynomial interpolation; Two variables; Lebesgue constant;
A differential quadrature-based approach à la Picard for systems of partial differential equations associated with fuzzy differential equations
Keywords: 35R13; 65D32; 94D05; Partial differential equations; Differential quadrature method; Picard-like approach; Fuzzy sets; Non-recursive method;
A Chebyshev collocation method for a class of Fredholm integral equations with highly oscillatory kernels
Keywords: 65D32; 65D99Fredholm integral equation; Highly oscillatory integral; Chebyshev collocation method; Filon–Clenshaw–Curtis method; Chebyshev polynomials
Optimal quadrature formulas of Euler-Maclaurin type
Keywords: Optimal quadrature formulas; The extremal function; S.L. Sobolev space; Optimal coefficients; 65D32;
An iterative numerical method for Fredholm–Volterra integral equations of the second kind
Keywords: Fredholm–Volterra integral equations; Fixed-point theory; Picard iteration; Numerical approximation45B05; 45D05; 45P05; 47H09; 65D32
Bounds for the Chebyshev functional and applications to the weighted integral formulae
Keywords: Chebyshev functional; Grüss inequality; Weighted quadrature formulae; Gauss–Chebyshev formulae26D15; 65D30; 65D32
An improved algorithm for the evaluation of Cauchy principal value integrals of oscillatory functions and its application
Keywords: 65D32; 65D30Cauchy principal value; Oscillatory integral; Logarithmic singularity; Chebyshev polynomial; Clenshaw–Curtis points
Lagrange polynomials, reproducing kernels and cubature in two dimensions
Keywords: 65D05; 65D32; 42C05Quadrature; Orthogonal polynomials; Christoffel–Darboux
Computation of integrals with oscillatory singular factors of algebraic and logarithmic type
Keywords: 65D32; 65D30Oscillatory integrals; Singularity; Clenshaw–Curtis points; Modified moments; Recurrence relations
Ef-Gaussian direct quadrature methods for Volterra integral equations with periodic solution
Keywords: 65R20; 65D32; 45M15Volterra integral equations; Exponential fitting; Periodic; Direct quadrature
On graded meshes for weakly singular Volterra integral equations with oscillatory trigonometric kernels
Keywords: 65D32; 65D30; Volterra integral equation; Collocation methods; Weak singularity; Graded meshes; Oscillatory kernel; Filon-type method;
Product integration rules for Chebyshev weight functions with Chebyshev abscissae
Keywords: primary; 65D32; Product integration rules; Chebyshev weight functions; Chebyshev abscissae;
Fast computation of Goursat’s infinite integral with very high accuracy
Keywords: 65D32; 65B99; 65Y20; 68W05Numerical quadrature; Multiple-precision computation; Double exponential quadrature method; Computational complexity
Efficient quadrature of highly oscillatory integrals with algebraic singularities
Keywords: 65D32; 65D30Oscillatory integrals; Asymptotic expansion; Filon-type method; FFT; Clenshaw–Curtis–Filon-type method