DOI10.1007/978-3-540-68349-0zbMath1154.41001OpenAlexW4246736184MaRDI QIDQ3507972
Giuseppe Mastroianni, Gradimir V. Milovanović
Publication date: 24 June 2008
Published in: Springer Monographs in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-540-68349-0
A Nyström method for a class of Fredholm integral equations on the real semiaxis,
Filtered integration rules for finite weighted Hilbert transforms,
A mixed collocation scheme for solving second kind Fredholm integral equations in \([-1,1\)],
Rational algorithm for quadratic Christoffel modification and applications to the constrainedL2-approximation,
Pseudospectral Laguerre approximation of transport-fragmentation equations,
A new type of Taylor series expansion,
Construction of \(D^m\)-splines in \(L_2^{(m)}(0, 1)\) space by Sobolev method,
A novel class of fractionally orthogonal quasi-polynomials and new fractional quadrature formulas,
A method for efficient computation of integrals with oscillatory and singular integrand,
Multiple orthogonal polynomials on the semicircle and applications,
Orthogonal polynomials for modified Chebyshev measure of the first kind,
Generalized pseudospectral method and zeros of orthogonal polynomials,
Lagrange-Hermite interpolation on the real semiaxis,
Polynomial fitting and interpolation on circular sections,
Some notes on a method for proving inequalities by computer,
A Birkhoff interpolation problem and application,
Bivariate collocation for computing \(R_0\) in epidemic models with two structures,
Approximation for genuine summation-integral type link operators,
Efficient computation of highly oscillatory integrals with Hankel kernel,
A numerical method for the solution of integral equations of Mellin type,
Generalized weighted Birkhoff-Young quadratures with the maximal degree of exactness,
Some error bounds for Gauss-Jacobi quadrature rules,
Uniform weighted approximation on the square by polynomial interpolation at Chebyshev nodes,
Construction of optimal interpolation formulas in the Sobolev space,
Numerical analysis of Fourier pseudospectral methods for the Klein-Gordon equation with smooth potentials. Fourier pseudospectral methods for Klein-Gordon equation,
A solution to exponential operators,
Numerical treatment of the generalized Love integral equation,
Symbolic-numeric computation of orthogonal polynomials and Gaussian quadratures with respect to the cardinal \(B\)-spline,
Approximation based on orthogonal and almost orthogonal functions,
Some properties of a hypergeometric function which appear in an approximation problem,
Projection methods for Fredholm integral equations on the real semiaxis,
A new quadrature scheme based on an extended Lagrange interpolation process,
Quadrature for self-affine distributions on \(\mathbb R^d\),
\(k\)-ary Lyndon words and necklaces arising as rational arguments of Hurwitz-Lerch zeta function and Apostol-Bernoulli polynomials,
A modified Nyström method for integral equations with Mellin type kernels,
On the interpolation of discontinuous functions,
Complete solution of the electrostatic equilibrium problem for classical weights,
Quadrature processes for efficient calculation of the Clausen functions,
Pseudospectral discretization of delay differential equations in sun-star formulation: results and conjectures,
Product integration rules by the constrained mock-Chebyshev least squares operator,
Generalized quadrature formulae for analytic functions,
Collocation of next-generation operators for computing the basic reproduction number of structured populations,
Analysis of Malmquist-Takenaka-Christov rational approximations with applications to the nonlinear Benjamin equation,
Explicit barycentric formulae for osculatory interpolation at roots of classical orthogonal polynomials,
Polynomial approximation with Pollaczeck-Laguerre weights on the real semiaxis. A survey,
Probability, minimax approximation, and Nash-equilibrium. Estimating the parameter of a biased coin,
The relationships between Chebyshev, Legendre and Jacobi polynomials: the generic superiority of Chebyshev polynomials and three important exceptions,
Superconvergence of Jacobi-Gauss-type spectral interpolation,
Solution of second kind Fredholm integral equations by means of Gauss and anti-Gauss quadrature rules,
Efficient numerical methods for analysis of square ratio of \(\kappa-\mu\) and \(\eta-\mu\) random processes with their applications in telecommunications,
Numerical treatment of second kind Fredholm integral equations systems on bounded intervals,
Generalized quadrature rules of Gaussian type for numerical evaluation of singular integrals,
Mean convergence of an extended Lagrange interpolation process on \([0,+\infty)\),
A unified representation for some interpolation formulas,
Multivariate inequalities of Chernoff type for classical orthogonal polynomials,
Fast variants of the Golub and Welsch algorithm for symmetric weight functions in Matlab,
Optimization of fourth-order discrete-approximation inclusions,
On the constrained mock-Chebyshev least-squares,
Gaussian quadrature rules with exponential weights on \((-1,1)\),
Polynomial approximation and quadrature on geographic rectangles,
Some approximation properties for generalized Srivastava-Gupta operators,
Orthogonal polynomials relative to a generalized Marchenko-Pastur probability measure,
Efficient quadrature rules for the singularly oscillatory Bessel transforms and their error analysis,
Cubature formulae for nearly singular and highly oscillating integrals,
Recurrence relation and differential equation for a class of orthogonal polynomials,
On \(L_p\)-error of bivariate polynomial interpolation on the square,
\(L^p\)-convergence of Lagrange interpolation on the semiaxis,
Asymptotics of the Lebesgue constants for bivariate approximation processes,
Weighted \(L^1\) approximation on \([- 1, 1\) via discrete de la Vallée Poussin means],
Generalized de la Vallée Poussin approximations on [-1, 1],
Nonstandard Gaussian quadrature formulae based on operator values,
Explicit forms of weighted quadrature rules with geometric nodes,
Interpolation splines minimizing a semi-norm,
Numerical bifurcation analysis of physiologically structured population models via pseudospectral approximation,
On the filtered polynomial interpolation at Chebyshev nodes,
Adaptive PID control based on orthogonal endocrine neural networks,
Numerical bifurcation analysis of renewal equations via pseudospectral approximation,
Volterra integral equations with highly oscillatory kernels: a new numerical method with applications,
A Nyström method for solving 2sth order boundary value problems,
A polynomial collocation method for singular integro-differential equations in weighted spaces,
Efficient method for the computation of oscillatory Bessel transform and Bessel Hilbert transform,
Error estimates for quadrature rules with maximal even trigonometric degree of exactness,
A mixed scheme of product integration rules in \((-1,1)\),
The Scientific Work of Gradimir V. Milovanović,
Interlacing Property of Zeros of Shifted Jacobi Polynomials,
Properties of some of two-variable orthogonal polynomials,
An adapted integration method for Volterra integral equation of the second kind with weakly singular kernel,
An extension of the Taylor series expansion by using the Bell polynomials,
Wavelet approximation of a function using Chebyshev wavelets,
Weakly singular linear Volterra integral equations: a Nyström method in weighted spaces of continuous functions,
A note on extraction of orthogonal polynomials from generating function for reciprocal of odd numbers,
Equations with infinite delay: numerical bifurcation analysis via pseudospectral discretization,
A Nyström method for a boundary integral equation related to the Dirichlet problem on domains with corners,
Newton interpolation using \(\Re \)-Leja sequences,
Jacobi weights, fractional integration, and sharp Ulyanov inequalities,
A product integration rule on equispaced nodes for highly oscillating integrals,
Nonstandard Gauss-Lobatto quadrature approximation to fractional derivatives,
Weighted nonstandard quadrature formulas based on values of linear differential operators,
Some applications of the Stirling numbers of the first and second kind,
A PCP of proximity for real algebraic polynomials,
Construction of Gaussian quadrature formulas for even weight functions,
Subperiodic trigonometric subsampling: A numerical approach,
Optimal Quadrature Formulas and Interpolation Splines Minimizing the Semi-Norm in the Hilbert Space $$K_{2}(P_{2})$$,
Numerical Integration of Highly Oscillating Functions,
Calculation of the channel discharge function for the generalized lightning traveling current source return stroke model,
A projection method for Volterra integral equations in weighted spaces of continuous functions,
Summation Formulas of Euler–Maclaurin and Abel–Plana: Old and New Results and Applications,
Orthogonal polynomials with respect to the Abel weight,
Fast and accurate solvers for weakly singular Volterra integral equations in weighted spaces,
Gaussian type quadrature rules related to the oscillatory modification of the generalized Laguerre weight functions,
Orthogonality on the semicircle: old and new results,
The numerical solution of inverse nodal problem for integro-differential operator by Legendre wavelet method,
A numerical method for solving systems of hypersingular integro-differential equations,
Estimates of Lebesgue constants for Lagrange interpolation processes by rational functions under mild restrictions to their fixed poles,
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A generalization of the array type polynomials,
Symbolic computation of recurrence coefficients for polynomials orthogonal with respect to the Szegő-Bernstein weights,
Efficient numerical methods for hypersingular finite-part integrals with highly oscillatory integrands,
On a family of bivariate orthogonal functions,
Some classes of special functions using Fourier transforms of some two-Variable orthogonal polynomials,
Iterative Processes and Integral Equations of the Second Kind,
Mean Convergence of Interpolation at Zeros of Airy Functions,
On Marcinkiewicz-Zygmund Inequalities at Hermite Zeros and Their Airy Function Cousins,
Dedekind and Hardy Type Sums and Trigonometric Sums Induced by Quadrature Formulas,
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Identities and inequalities for the cosine and sine functions,
Some expansions of functions based upon two sequences of hypergeometric polynomials,
The Collocation Basis of Compact Finite Differences for Moment-Preserving Interpolations: Review, Extension and Applications,
Convergence of Iterated Boolean-type Sums and Their Iterates,
On Marcinkiewicz-Zygmund inequalities at Jacobi zeros and their Bessel function cousins,
Mean convergence of Lagrange interpolation,
Collocation-quadrature methods and fast summation for Cauchy singular integral equations with fixed singularities,
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Interpolative Decomposition via Proxy Points for Kernel Matrices,
The Szegö-Markov-Bernstein inequalities and barycentric representations of the osculatory interpolating operators for classical iterated weights,
Quadrature Formulas of Gaussian Type for Fast Summation of Trigonometric Series,
Trigonometric Orthogonal Systems,
Experimental Mathematics Involving Orthogonal Polynomials,
Quadrature Methods for Bayesian Optimal Design of Experiments With Nonnormal Prior Distributions,
New Properties of the Zeros of Krall Polynomials,
Pseudospectral Approximation of Hopf Bifurcation for Delay Differential Equations,
Construction of Interpolation Splines Minimizing the Semi-norm in the Space K2(Pm),
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Approximation by interpolation: the Chebyshev nodes,
Optimal interpolation formulas with derivative in the space L(m)2(0,1),
Ostrowski type inequalities and some selected quadrature formulae,
The electrostatic equilibrium problem for classical discrete orthogonal polynomials