Quadrature methods for periodic singular and weakly singular Fredholm integral equations. - Avram Sidi; Moshe Israeli (J. Sci. Comput., 1988)

Comparison of some numerical quadrature formulas for weakly singular periodic Fredholm integral equations. - Avram Sidi (Computing, 1989)

Convergence of intermediate rows of minimal polynomial and reduced rank extrapolation tables. - Avram Sidi (Numer. Algorithms, 1994)

Application of Vector-Valued Rational Approximations to the Matrix Eigenvalue Problem and Connections with Krylov Subspace Methods. - Avram Sidi (SIAM J. Matrix Anal. Appl., 1995)

An automatic integration procedure for infinite range integrals involving oscillatory kernels. - Takemitsu Hasegawa; Avram Sidi (Numer. Algorithms, 1996)

Towards Automatic Multigrid Algorithms for SPD, Nonsymmetric and Indefinite Problems. - Yair Shapira; Moshe Israeli; Avram Sidi (SIAM J. Sci. Comput., 1996)

Upper bounds for convergence rates of acceleration methods with initial iterations. - Avram Sidi; Yair Shapira (Numer. Algorithms, 1998)

Extrapolation methods and derivatives of limits of sequences. - Avram Sidi (Math. Comput., 2000)

The Richardson Extrapolation Process with a Harmonic Sequence of Collocation Points. - Avram Sidi (SIAM J. Numer. Anal., 2000)

New convergence results on the generalized Richardson extrapolation process GREP for logarithmic sequences. - Avram Sidi (Math. Comput., 2002)

Practical Extrapolation Methods - Theory and Applications. - Avram Sidi (Cambridge University Press, 2003)

A convergence and stability study of the iterated Lubkin transformation and the Theta-algorithm. - Avram Sidi (Math. Comput., 2003)

Orthogonal polynomials and semi-iterative methods for the Drazin-inverse solution of singular linear systems. - Avram Sidi; Yuliya Kanevsky (Numerische Mathematik, 2003)

Application of Extrapolation Methods to Numerical Solution of Fredholm Integral Equations Related to Boundary Value Problems. - Avram Sidi (International Conference on Computational Science, 2004)

A new approach to vector-valued rational interpolation. - Avram Sidi (J. Approx. Theory, 2004)

Euler-Maclaurin expansions for integrals with endpoint singularities: a new perspective. - Avram Sidi (Numerische Mathematik, 2004)

Numerical integration over smooth surfaces in R3 via class Sm variable transformations. Part I: Smooth integrands. - Avram Sidi (Appl. Math. Comput., 2005)

Analysis of Atkinson's variable transformation for numerical integration over smooth surfaces in ℝ3. - Avram Sidi (Numerische Mathematik, 2005)

Numerical integration over smooth surfaces in R3 via class Sm variable transformations. Part II: Singular integrands. - Avram Sidi (Appl. Math. Comput., 2006)

Algebraic properties of some new vector-valued rational interpolants. - Avram Sidi (J. Approx. Theory, 2006)

Extension of a class of periodizing variable transformations for numerical Integration. - Avram Sidi (Math. Comput., 2006)

A Novel Class of Symmetric and Nonsymmetric Periodizing Variable Transformations for Numerical Integration. - Avram Sidi (J. Sci. Comput., 2007)

Vector extrapolation methods with applications to solution of large systems of equations and to PageRank computations. - Avram Sidi (Comput. Math. Appl., 2008)

A de Montessus type convergence study of a least-squares vector-valued rational interpolation procedure. - Avram Sidi (J. Approx. Theory, 2008)

Methods for Acceleration of Convergence (Extrapolation) of Vector Sequences. - Avram Sidi (Wiley Encyclopedia of Computer Science and Engineering, 2008)

Asymptotic expansions of Legendre series coefficients for functions with endpoint singularities. - Avram Sidi (Asymptot. Anal., 2009)

Asymptotic expansions of Gauss-Legendre quadrature rules for integrals with endpoint singularities. - Avram Sidi (Math. Comput., 2009)

Variable transformations and Gauss-Legendre quadrature for integrals with endpoint singularities. - Avram Sidi (Math. Comput., 2009)

Efficient Beltrami Image Filtering via Vector Extrapolation Methods. - Guy Rosman; Lorina Dascal; Avram Sidi; Ron Kimmel (SIAM J. Imaging Sci., 2009)

A simple approach to asymptotic expansions for Fourier integrals of singular functions. - Avram Sidi (Appl. Math. Comput., 2010)

Asymptotic analysis of a generalized Richardson extrapolation process on linear sequences. - Avram Sidi (Math. Comput., 2010)

Asymptotic expansions of Legendre series coefficients for functions with interior and endpoint singularities. - Avram Sidi (Math. Comput., 2011)

Acceleration of convergence of general linear sequences by the Shanks transformation. - Avram Sidi (Numerische Mathematik, 2011)

Review of two vector extrapolation methods of polynomial type with applications to large-scale problems. - Avram Sidi (J. Comput. Sci., 2012)

Euler-Maclaurin expansions for integrals with arbitrary algebraic endpoint singularities. - Avram Sidi (Math. Comput., 2012)

Compact Numerical Quadrature Formulas for Hypersingular Integrals and Integral Equations. - Avram Sidi (J. Sci. Comput., 2013)

Biorthogonal polynomials and numerical quadrature formulas for some finite-range integrals with symmetric weight functions. - Avram Sidi (J. Comput. Appl. Math., 2014)

Richardson Extrapolation on Some Recent Numerical Quadrature Formulas for Singular and Hypersingular Integrals and Its Study of Stability. - Avram Sidi (J. Sci. Comput., 2014)

Vector Extrapolation Methods with Applications. - Avram Sidi (SIAM, 2017)

Minimal polynomial and reduced rank extrapolation methods are related. - Avram Sidi (Adv. Comput. Math., 2017)

On a vectorized version of a generalized Richardson extrapolation process. - Avram Sidi (Numer. Algorithms, 2017)

Vector versions of Prony's algorithm and vector-valued rational approximations. - Avram Sidi (Adv. Comput. Math., 2020)

Generalization of the Secant Method for Nonlinear Equations (extended version). - Avram Sidi (CoRR, 2020)

A convergence study for reduced rank extrapolation on nonlinear systems. - Avram Sidi (Numer. Algorithms, 2020)

Acceleration of convergence of some infinite sequences {An} whose asymptotic expansions involve fractional powers of n via the ${ tilde {d}}^{(m)}$ transformation. - Avram Sidi (Numer. Algorithms, 2020)

Application of a Generalized Secant Method to Nonlinear Equations with Complex Roots. - Avram Sidi (Axioms, 2021)

Unified Compact Numerical Quadrature Formulas for Hadamard Finite Parts of Singular Integrals of Periodic Functions. - Avram Sidi (CoRR, 2021)

Exactness and Convergence Properties of Some Recent Numerical Quadrature Formulas for Supersingular Integrals of Periodic Functions. - Avram Sidi (CoRR, 2021)

PVTSIm: A Novel Approach to Computation of Hadamard Finite Parts of Nonperiodic Singular Integrals. - Avram Sidi (CoRR, 2021)

Spectrally accurate numerical quadrature formulas for a class of algebraically singular periodic Hadamard finite part integrals by regularization. - Avram Sidi (J. Comput. Appl. Math., 2024)