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;
مقالات ISI (ترجمه نشده)
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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: 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: 26A33; 37C25; 45D05; 45E10; 65D30; 65R20; Fractional integral equations; Abel integral equations; Fixed-point theory; Picard iteration; Numerical approximation; Product integration;
Keywords: Stochastic integral equations; Radial basis functions; Gauss-Legendre quadrature rule; Non-rectangular domains; Error analysis; 60H20; 97N50; 65D30;
Keywords: 65D30; 65D32; Cauchy principal value integral; Logarithmic singularity; Quadrature rule; Chebyshev interpolation; Uniform approximation; Three-term recurrence relations;
Keywords: 33C55; 41A55; 65D30; 65D32; Quadrature rule on the sphere; Cubed Sphere; Spherical Harmonic;
Keywords: Highly oscillatory integral; Complex integral; Gauss quadrature; Steepest descent method; 65D32; 65D30;
Keywords: Hadamard finite part integrals; Approximation by polynomials; Orthogonal polynomials; Gaussian rules; 65D30; 41A05;
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: The classes of integro-differential equations; Completely monotonic kernel; The second order backward difference type methods; Convolution quadrature; Weighted l1 asymptotic stability; 45K05; 65D30; 34K30; 65L07; 65M12;
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: 65D30; 65D32Cauchy principal value integral; Numerical integration; Adaptive quadrature; Round-off errors; Maple; Matlab
Keywords: primary; 65D30; 65D32; 65F15; secondary; 41A55; Gauss quadrature; Anti-Gauss quadrature; Error estimate;
Keywords: Numerical integration; Oscillatory function; Interpolation polynomial; Logarithmic singularities; Error analysis65D32; 65D30
Keywords: Oscillatory integral; Hankel function; Gauss–Laguerre quadrature rule; Error analysis65D32; 65D30
Keywords: 65D30; 65D32Numerical integration; Quasi-Monte Carlo methods; Component-by-component algorithm; Weighted reproducing kernel Hilbert spaces
Keywords: 65D32; 65D30; 41A55Extended cubature formulae; Polyharmonic functions; Polyharmonic degree of precision
Keywords: 41A55; 42C05; 65D30; 65F15; Multiple orthogonal polynomials; Unit circle; Normality; Recurrence relations; Rogers-SzegÅ polynomials; Riemann-Hilbert problems;
Keywords: 41A55; 65D30; 65D32; 33C45Numerical integration; Singular integrals; Gaussian quadrature; Orthogonalization; Boundary element method
Keywords: 65D30; 65D32; 65C05; 65C10Numerical integration; Quasi-Monte Carlo; Weil sum; Hölder continuity; Fourier series; Fourier cosine series; Walsh series
Keywords: 65N35; 65D30; Finite elements; Transport equation; Mass lumping; Dispersion;
Keywords: 11K31; 11K38; 11P21; 65D30; Digital nets; Polynomial lattices; Numerical integration; Quasi-Monte Carlo; Frolov's cubature;
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
A fourth order product integration rule by using the generalized Euler-Maclaurin summation formula
Keywords: 41A55; 65B15; 32A55; 42B20; 65D30; Generalized Euler-Maclaurin summation formula; Product integration rule; Rate of convergence; Singular integral; Fermi-Dirac integral;
Application of orthonormal Bernstein polynomials to construct a efficient scheme for solving fractional stochastic integro-differential equation
Keywords: 26A33; 65C30; 33C45; 65D30; Fractional calculus; Stochastic integral equation; Operational matrix; Orthonormal polynomials; Error analysis;
Asymptotically optimal definite quadrature formulae of 4th order
Keywords: 41A55; 65D30; 65D32Asymptotically optimal definite quadrature formulae; Peano kernel representation; Euler–Maclaurin type summation formulae; A posteriori error estimates
An improved PC scheme for nonlinear fractional differential equations: Error and stability analysis
Keywords: 26A33; 65D05; 65D25; 65D30; Predictor-corrector scheme; Fractional differential equation; Caputo derivative; Volterra integral equation;
Meshless method and convergence analysis for 2-dimensional Fredholm integral equation with complex factors
Keywords: 65D30; 45D05; 45G102-dimensional Fredholm integral equation; Radial basis function interpolation; Meshless method; Convergence analysis; Complex factors
Two cubic spline methods for solving Fredholm integral equations
Keywords: Cubic spline interpolation; Quasi-interpolation; Fredholm integral equation; 45L05; 65R20; 65D30; 65L70;
On Euler–Maclaurin formula
Keywords: 65B15; 65D30; 41A55Euler–Maclaurin formula; Corrected quadrature rule; Composite rule; Taylor’s expansion; Peano Kernel; Optimal error bounds
A new matrix method for solving two-dimensional time-dependent diffusion equations with Dirichlet boundary conditions
Keywords: Two-dimensional diffusion equations; Dirichlet boundary conditions; Polynomial approximation; Bernoulli polynomials; Operational matrices35E15; 35A35; 65D25; 65D30; 65L20
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
Applying the modified block-pulse functions to solve the three-dimensional Volterra–Fredholm integral equations
Keywords: Three-dimensional; Volterra–Fredholm; Modification; Block-pulse functions; Error analysis45B05; 45D05; 65D30; 65R20
Weighted quadrature rules via Grüss type inequalities for weighted Lp spaces
Keywords: Sonin’s identity; Čebyšev functional; Grüss inequality; Numerical quadrature rule26D15; 65D30
The bb-adic tent transformation for quasi-Monte Carlo integration using digital nets
Keywords: 65C05; 65D30; 65D32Quasi-Monte Carlo; Numerical integration; Digital nets; Tent transformation; Higher order polynomial lattice point sets
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;
Taylor collocation method and convergence analysis for the Volterra–Fredholm integral equations
Keywords: 65D30; 45GK10Taylor collocation method; Volterra–Fredholm integral equations; Convergence analysis
Least squares approximation method for the solution of Volterra–Fredholm integral equations
Keywords: 65D30; 45GK10Volterra–Fredholm integral equations; Least squares approximation method; Convergence analysis
Filon–Clenshaw–Curtis rules for a class of highly-oscillatory integrals with logarithmic singularities
Keywords: 65D30; 42A15; 65Y20Numerical integration; Highly oscillatory integrals; Clenshaw–Curtis rules; Chebyshev polynomials; Logarithmic singularities
A unified approach with spectral convergence for the evaluation of hypersingular and supersingular integrals with a periodic kernel
Keywords: 65D30; 65D32Hypersingular; Periodic; Nodal quadrature; Trapezoidal
A technique for the numerical solution of initial-value problems based on a class of Birkhoff-type interpolation method
Keywords: 41A05; 41A10; 65D30; 34Axx; 35GxxBirkhoff interpolation; Initial value problems; Special functions; Quadrature rules; Error analysis
Numerical inverse Lévy measure method for infinite shot noise series representation
Keywords: 60E07; 65C05; 65D30; 65B10Infinitely divisible random vector; Lévy process; Numerical inversion; Quasi-Monte Carlo method; Sample paths simulation; Stochastic differential equation with jumps
Numerical integration of functions with a very small significant support
Keywords: 65D30; 65R20Numerical integration; Quadrature rules; Nyström interpolants
Quadpack computation of Feynman loop integrals
Keywords: 30E15; 41A55; 41A58; 41A60; 65B05; 65B15; 65D20; 65D30; 65D32; 65Z05; 68N30; 68W01Feynman loop integrals; Numerical iterated integration; Adaptive strategy; Extrapolation; Convergence acceleration; Asymptotic expansions; Singularities; Infrared divergence
Step size strategies for the numerical integration of systems of differential equations
Keywords: 34A34; 65D30; Variable step size; Error analysis; Differential equation systems; Numerical integration; Step size strategy;
Variance bounds and existence results for randomly shifted lattice rules
Keywords: 65D30; 65D32; 11K38; 62J10Numerical multiple integration; Quasi-Monte Carlo; Lattice rules; Discrepancy; Random shift; Variance
Error estimates of anti-Gaussian quadrature formulae
Keywords: primary; 41A55; secondary; 65D30; 65D32; Remainder term; Anti-Gauss quadrature; Elliptic contour; Error estimate;