## Sidi, Avram

Compute Distance To:
 Author ID: sidi.avram Published as: Sidi, Avram; Sidi, A.
 Documents Indexed: 142 Publications since 1975, including 2 Books Co-Authors: 27 Co-Authors with 37 Joint Publications 693 Co-Co-Authors
all top 5

### Co-Authors

 100 single-authored 11 Lubinsky, Doron S. 6 Ford, William F. 5 Israeli, Moshe 4 Shapira, Yair 3 Hasegawa, Takemitsu 3 Smith, David Alexander 1 Averbuch, Amir Z. 1 Bar-On, Ilan 1 Braverman, Elena 1 Bridger, Jacob 1 Climent, Joan-Josep 1 Coifman, Ronald Raphaël 1 Dascal, Lorina 1 Givoli, Dan 1 Hoggan, Philip E. 1 Kaminsky, Michael 1 Kanevsky, Yuliya 1 Kimmel, Ron 1 Kluzner, Vladimir 1 Neumann, Michael 1 Pennline, James A. 1 Rosman, Guy 1 Stahl, Herbert Robert 1 Su, Feng 1 Sulem, Catherine 1 Sulem, Pierre-Louis 1 Zrahia, Uzi
all top 5

### Serials

 19 Mathematics of Computation 19 Journal of Computational and Applied Mathematics 8 Journal of Approximation Theory 7 SIAM Journal on Numerical Analysis 6 Numerische Mathematik 6 Applied Numerical Mathematics 6 Numerical Algorithms 5 Linear Algebra and its Applications 4 Applied Mathematics and Computation 4 Calcolo 4 Journal of Scientific Computing 3 Journal of Mathematical Analysis and Applications 3 BIT 2 IMA Journal of Numerical Analysis 2 Journal of the Institute of Mathematics and its Applications 2 Constructive Approximation 2 SIAM Journal on Mathematical Analysis 2 SIAM Review 2 Advances in Computational Mathematics 2 Applied Mathematics E-Notes 2 International Journal of Pure and Applied Mathematics 1 Computers & Mathematics with Applications 1 Israel Journal of Mathematics 1 Journal of the Australian Mathematical Society, Series B 1 Journal of Computational Physics 1 Computing 1 Transactions of the American Mathematical Society 1 Analysis 1 Acta Applicandae Mathematicae 1 Numerical Methods for Partial Differential Equations 1 Asymptotic Analysis 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Integral Equations and Applications 1 SIAM Journal on Scientific Computing 1 Applied and Computational Harmonic Analysis 1 Annals of Numerical Mathematics 1 ELA. The Electronic Journal of Linear Algebra 1 RIMS Kokyuroku 1 Journal of Computational Methods in Sciences and Engineering 1 Computational Methods and Function Theory 1 WSEAS Transactions on Mathematics 1 Cambridge Monographs on Applied and Computational Mathematics 1 Computational Science & Engineering 1 JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics 1 SIAM Journal on Imaging Sciences 1 Jaen Journal on Approximation
all top 5

### Fields

 114 Numerical analysis (65-XX) 73 Approximations and expansions (41-XX) 31 Sequences, series, summability (40-XX) 17 Functions of a complex variable (30-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 9 Special functions (33-XX) 8 Partial differential equations (35-XX) 8 Integral transforms, operational calculus (44-XX) 6 Integral equations (45-XX) 3 Ordinary differential equations (34-XX) 2 Statistics (62-XX) 2 Operations research, mathematical programming (90-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

124 Publications have been cited 1,375 times in 648 Documents Cited by Year
Practical extrapolation methods. Theory and applications. Zbl 1041.65001
Sidi, Avram
2003
Quadrature methods for periodic singular and weakly singular Fredholm integral equations. Zbl 0662.65122
Sidi, Avram; Israeli, Moshe
1988
Extrapolation methods for vector sequences. Zbl 0622.65003
Smith, David A.; Ford, William F.; Sidi, Avram
1987
Two new classes of nonlinear transformations for accelerating the convergence of infinite integrals and series. Zbl 0487.65003
Levin, David; Sidi, Avram
1981
Acceleration of convergence of vector sequences. Zbl 0596.65016
Sidi, Avram; Ford, William F.; Smith, David A.
1986
A new variable transformation for numerical integration. Zbl 0791.41027
Sidi, Avram
1993
An algorithm for a generalization of the Richardson extrapolation process. Zbl 0627.65001
Ford, William F.; Sidi, Avram
1987
Extrapolation vs. projection methods for linear systems of equations. Zbl 0646.65031
Sidi, Avram
1988
Convergence and stability properties of minimal polynomial and reduced rank extrapolation algorithms. Zbl 0612.65001
Sidi, Avram
1986
An algorithm for a special case of a generalization of the Richardson extrapolation process. Zbl 0485.65004
Sidi, Avram
1982
Some properties of a generalization of the Richardson extrapolation process. Zbl 0449.65001
Sidi, A.
1979
DGMRES: A GMRES-type algorithm for Drazin-inverse solution of singular nonsymmetric linear systems. Zbl 0982.65043
Sidi, Avram
2001
The numerical evaluation of very oscillatory infinite integrals by extrapolation. Zbl 0508.65011
Sidi, Avram
1982
Extrapolation methods for oscillatory infinite integrals. Zbl 0464.65002
Sidi, A.
1980
A user-friendly extrapolation method for oscillatory infinite integrals. Zbl 0694.40004
Sidi, Avram
1988
A semi-iterative method for real spectrum singular linear systems with an arbitrary index. Zbl 0899.65020
Climent, Joan-Josep; Neumann, Michael; Sidi, Avram
1997
Convergence and stability analyses for some vector extrapolation methods in the presence of defective iteration matrices. Zbl 0646.65030
Sidi, Avram; Bridger, Jacob
1988
Euler-Maclaurin expansions for integrals with endpoint singularities: A new perspective. Zbl 1081.65003
Sidi, Avram
2004
Efficient implementation of minimal polynomial and reduced rank extrapolation methods. Zbl 0747.65002
Sidi, Avram
1991
Recursive algorithms for vector extrapolation methods. Zbl 0649.65004
Ford, William F.; Sidi, Avram
1988
A unified approach to Krylov subspace methods for the Drazin-inverse solution of singular nonsymmetric linear systems. Zbl 0983.65054
Sidi, Avram
1999
Vector extrapolation methods with applications to solution of large systems of equations and to PageRank computations. Zbl 1145.65312
Sidi, Avram
2008
Convergence properties of some nonlinear sequence transformations. Zbl 0401.41020
Sidi, Avram
1979
Convergence of product integration rules for functions with interior and endpoint singularities over bounded and unbounded intervals. Zbl 0602.41032
Lubinsky, D. S.; Sidi, Avram
1986
Rational approximations from power series of vector-valued meromorphic functions. Zbl 0808.41010
Sidi, Avram
1994
Analysis of convergence of the T-transformation for power series. Zbl 0441.40004
Sidi, Avram
1980
On a generalization of the Richardson extrapolation process. Zbl 0709.65002
Sidi, Avram
1990
Euler-Maclaurin expansions for integrals with arbitrary algebraic endpoint singularities. Zbl 1271.30011
Sidi, Avram
2012
Euler-Maclaurin expansions for integrals with arbitrary algebraic-logarithmic endpoint singularities. Zbl 1329.41041
Sidi, Avram
2012
Convergence analysis for a generalized Richardson extrapolation process with an application to the $$d^{(1)}$$-transformation on convergent and divergent logarithmic sequences. Zbl 0853.65003
Sidi, Avram
1995
Numerical quadrature and nonlinear sequence transformations; unified rules for efficient computation of integrals with algebraic and logarithmic endpoint singularities. Zbl 0441.41021
Sidi, Avram
1980
A new method for deriving Padé approximants for some hypergeometric functions. Zbl 0452.41010
Sidi, Avram
1981
A Bi-CG type iterative method for Drazin-inverse solution of singular inconsistent nonsymmetric linear systems of arbitrary index. Zbl 0965.65064
2000
Extension of a class of periodizing variable transformations for numerical integration. Zbl 1103.65029
Sidi, Avram
2006
Compact numerical quadrature formulas for hypersingular integrals and integral equations. Zbl 1264.65033
Sidi, Avram
2013
On the long time behavior of a generalized KdV equation. Zbl 0625.35072
Sidi, A.; Sulem, C.; Sulem, P. L.
1986
Quantitative and constructive aspects of the generalized Koenig’s and de Montessus’s theorems for Padé approximants. Zbl 0693.41015
Sidi, Avram
1990
Strong asymptotics for polynomials biorthogonal to powers of $$\log X$$. Zbl 0814.30022
Lubinsky, D. S.; Sidi, A.
1994
Application of vector-valued rational approximations to the matrix eigenvalue problem and connections with Krylov subspace methods. Zbl 0843.65023
Sidi, Avram
1995
Erratum: Correction to “Extrapolation methods for vector sequences”. Zbl 0664.65002
Smith, David A.; Ford, William F.; Sidi, Avram
1988
Euler-MacLaurin expansions for integrals over triangles and squares of functions having algebraic/logarithmic singularities along an edge. Zbl 0533.41026
Sidi, Avram
1983
Efficient computation of oscillatory integrals via adaptive multiscale local Fourier bases. Zbl 0958.65148
Averbuch, A.; Braverman, E.; Coifman, R.; Israeli, M.; Sidi, A.
2000
Acceleration of convergence of (generalized) Fourier series by the $$d$$- transformation. Zbl 0834.65142
Sidi, Avram
1995
Extrapolation methods for divergent oscillatory infinite integrals that are defined in the sense of summability. Zbl 0634.41018
Sidi, Avram
1987
Prediction properties of the t-transformation. Zbl 0521.65002
Sidi, Avram; Levin, David
1983
The Richardson extrapolation process with a harmonic sequence of collocation points. Zbl 0957.65002
Sidi, Avram
2000
Vector extrapolation methods with applications. Zbl 1383.65002
Sidi, Avram
2017
Some aspects of two-point Padé approximants. Zbl 0438.41014
Sidi, Avram
1980
Application of class $$\mathcal I_{m}$$ variable transformations to numerical integration over surfaces of spheres. Zbl 1077.65022
Sidi, Avram
2005
An automatic integration procedure for infinite range integrals involving oscillatory kernels. Zbl 0879.65015
Hasegawa, Takemitsu; Sidi, Avram
1996
Biorthogonal polynomials and numerical integration formulas for infinite intervals. Zbl 1221.65081
Sidi, Avram; Lubinsky, Doron S.
2007
Richardson extrapolation on some recent numerical quadrature formulas for singular and hypersingular integrals and its study of stability. Zbl 1300.41018
Sidi, Avram
2014
Orthogonal polynomials and semi-iterative methods for the Drazin-inverse solution of singular linear systems. Zbl 1019.65026
Sidi, Avram; Kanevsky, Yuliya
2003
Further extension of a class of periodizing variable transformations for numerical integration. Zbl 1161.65019
Sidi, Avram
2008
Development of iterative techniques and extrapolation methods for Drazin inverse solution of consistent or inconsistent singular linear systems. Zbl 0768.65014
Sidi, Avram
1992
Further convergence and stability results for the generalized Richardson extrapolation process $$GREP^{(1)}$$ with an application to the $$D^{(1)}$$-transformation for infinite integrals. Zbl 0958.65008
Sidi, Avram
1999
Numerical quadrature rules for some infinite range integrals. Zbl 0506.41034
Sidi, Avram
1982
Numerical integration over smooth surfaces in $$\mathbb R^3$$ via class $$\mathcal I_{m}$$ variable transformations. I: Smooth integrands. Zbl 1086.65022
Sidi, Avram
2005
Towards automatic multigrid algorithms for SPD, nonsymmetric and indefinite problems. Zbl 0851.65086
Shapira, Yair; Israeli, Moshe; Sidi, Avram
1996
Improving the accuracy of quadrature method solutions of Fredholm integral equations that arise from nonlinear two-point boundary value problems. Zbl 0974.65123
Sidi, Avram; Pennline, James A.
1999
Upper bounds for convergence rates of acceleration methods with initial iterations. Zbl 0917.65029
Sidi, Avram; Shapira, Yair
1998
Asymptotic expansions of Gauss-Legendre quadrature rules for integrals with endpoint singularities. Zbl 1198.65048
Sidi, Avram
2009
Comparison of some numerical quadrature formulas for weakly singular periodic Fredholm integral equations. Zbl 0687.65124
Sidi, Avram
1989
Asymptotics of modified Bessel functions of high order. Zbl 1241.33007
Sidi, Avram; Hoggan, Philip E.
2011
Zero distribution of composite polynomials and polynomials biorthogonal to exponentials. Zbl 1181.42027
Lubinsky, D. S.; Sidi, A.
2008
Convergence of linear and nonlinear Padé approximants from series of orthogonal polynomials. Zbl 0518.30037
Lubinsky, D. S.; Sidi, A.
1983
Further results on convergence and stability of a generalization of the Richardson extrapolation process. Zbl 0847.65002
Sidi, Avram
1996
Extension and completion of Wynn’s theory on convergence of columns of the epsilon table. Zbl 0858.41011
Sidi, Avram
1996
A novel class of symmetric and nonsymmetric periodizing variable transformations for numerical integration. Zbl 1133.65013
Sidi, Avram
2007
Asymptotic expansions of Legendre series coeffcieints for functions with endpoint singularities. Zbl 1181.41049
Sidi, Avram
2009
A user-friendly extrapolation method for computing infinite range integrals of products of oscillatory functions. Zbl 1298.65039
Sidi, Avram
2012
Asymptotic analysis of a generalized Richardson extrapolation process on linear sequences. Zbl 1205.40002
Sidi, Avram
2010
Survey of numerical stability issues in convergence acceleration. Zbl 1203.65012
Sidi, Avram
2010
A convergence and stability study of the iterated Lubkin transformation and the $$\theta$$-algorithm. Zbl 1014.65003
Sidi, Avram
2003
A complete convergence and stability theory for a generalized Richardson extrapolation process. Zbl 0883.40001
Sidi, Avram
1997
On extensions of the power method for normal operators. Zbl 0678.65023
Sidi, Avram
1989
Rational approximations from the d-transformation. Zbl 0508.65001
Sidi, Avram; Levin, David
1982
A new approach to vector-valued rational interpolation. Zbl 1065.41022
Sidi, Avram
2004
Analysis of errors in some recent numerical quadrature formulas for periodic singular and hypersingular integrals via regularization. Zbl 1291.65078
Sidi, Avram
2014
Algebraic properties of some new vector-valued rational interpolants. Zbl 1102.41012
Sidi, Avram
2006
A de Montessus type convergence study of a least-squares vector-valued rational interpolation procedure. Zbl 1158.41002
Sidi, Avram
2008
Computation of the Chebyshev-Padé table. Zbl 0302.65006
Sidi, Avram
1975
A simple approach to asymptotic expansions for Fourier integrals of singular functions. Zbl 1193.42071
Sidi, Avram
2010
Variable transformations and Gauss-Legendre quadrature for integrals with endpoint singularities. Zbl 1209.65031
Sidi, Avram
2009
New convergence results on the generalized Richardson extrapolation process GREP$$^{(1)}$$ for logarithmic sequences. Zbl 1076.41018
Sidi, Avram
2002
Asymptotic expansions of Mellin transforms and analogues of Watson’s lemma. Zbl 0581.44006
Sidi, Avram
1985
Generalizations of Richardson extrapolation with applications to numerical integration. Zbl 0647.65002
Sidi, Avram
1988
On the zeros of some polynomials that arise in numerical quadrature and convergence acceleration. Zbl 0522.41023
Sidi, Avram; Lubinsky, Doron S.
1983
On rates of acceleration of extrapolation methods for oscillatory infinite integrals. Zbl 0714.65021
Sidi, Avram
1990
Application of vector extrapolation methods to consistent singular linear systems. Zbl 0714.65031
Sidi, Avram
1990
Analysis of Atkinson’s variable transformation for numerical integration over smooth surfaces in $$\mathbb R^{3}$$. Zbl 1082.65030
Sidi, Avram
2005
Computation of infinite integrals involving Bessel functions of arbitrary order by the $$\overline{D}$$-transformation. Zbl 0871.65012
Sidi, Avram
1997
Convergence of intermediate rows of minimal polynomial and reduced rank extrapolation tables. Zbl 0803.65073
Sidi, Avram
1994
Asymptotic zero distribution of biorthogonal polynomials. Zbl 1310.42014
Lubinsky, D. S.; Sidi, A.; Stahl, H.
2015
Positive interpolatory quadrature rules generated by some biorthogonal polynomials. Zbl 1202.41029
Lubinsky, D. S.; Sidi, A.
2010
Minimal polynomial and reduced rank extrapolation methods are related. Zbl 1370.65025
Sidi, Avram
2017
Extrapolation methods and derivatives of limits of sequences. Zbl 0947.65001
Sidi, Avram
2000
Optimal error bounds for convergents of a family of continued fractions. Zbl 0852.40004
Shapira, Yair; Sidi, Avram; Israeli, Moshe
1996
A de Montessus type convergence study for a vector-valued rational interpolation procedure. Zbl 1144.41002
Sidi, Avram
2008
Stability and accuracy of optimal local non-reflecting boundary conditions. Zbl 0972.65078
Sidi, Avram; Givoli, Dan
2000
Unified compact numerical quadrature formulas for Hadamard finite parts of singular integrals of periodic functions. Zbl 1472.65031
Sidi, Avram
2021
Exactness and convergence properties of some recent numerical quadrature formulas for supersingular integrals of periodic functions. Zbl 07380431
Sidi, Avram
2021
A convergence study for reduced rank extrapolation on nonlinear systems. Zbl 1442.65098
Sidi, Avram
2020
Vector extrapolation methods with applications. Zbl 1383.65002
Sidi, Avram
2017
Minimal polynomial and reduced rank extrapolation methods are related. Zbl 1370.65025
Sidi, Avram
2017
Asymptotic zero distribution of biorthogonal polynomials. Zbl 1310.42014
Lubinsky, D. S.; Sidi, A.; Stahl, H.
2015
Richardson extrapolation on some recent numerical quadrature formulas for singular and hypersingular integrals and its study of stability. Zbl 1300.41018
Sidi, Avram
2014
Analysis of errors in some recent numerical quadrature formulas for periodic singular and hypersingular integrals via regularization. Zbl 1291.65078
Sidi, Avram
2014
Biorthogonal polynomials and numerical quadrature formulas for some finite-range integrals with symmetric weight functions. Zbl 1298.65043
Sidi, Avram
2014
Compact numerical quadrature formulas for hypersingular integrals and integral equations. Zbl 1264.65033
Sidi, Avram
2013
Polynomials biorthogonal to dilations of measures, and their asymptotics. Zbl 1253.42021
Lubinsky, D. S.; Sidi, A.
2013
Euler-Maclaurin expansions for integrals with arbitrary algebraic endpoint singularities. Zbl 1271.30011
Sidi, Avram
2012
Euler-Maclaurin expansions for integrals with arbitrary algebraic-logarithmic endpoint singularities. Zbl 1329.41041
Sidi, Avram
2012
A user-friendly extrapolation method for computing infinite range integrals of products of oscillatory functions. Zbl 1298.65039
Sidi, Avram
2012
Asymptotics of modified Bessel functions of high order. Zbl 1241.33007
Sidi, Avram; Hoggan, Philip E.
2011
Asymptotic expansions of Legendre series coefficients for functions with interior and endpoint singularities. Zbl 1228.40002
Sidi, Avram
2011
Acceleration of convergence of general linear sequences by the Shanks transformation. Zbl 1241.65002
Sidi, Avram
2011
Asymptotic analysis of a generalized Richardson extrapolation process on linear sequences. Zbl 1205.40002
Sidi, Avram
2010
Survey of numerical stability issues in convergence acceleration. Zbl 1203.65012
Sidi, Avram
2010
A simple approach to asymptotic expansions for Fourier integrals of singular functions. Zbl 1193.42071
Sidi, Avram
2010
Positive interpolatory quadrature rules generated by some biorthogonal polynomials. Zbl 1202.41029
Lubinsky, D. S.; Sidi, A.
2010
A de Montessus type convergence study of a least-squares vector-valued rational interpolation procedure II. Zbl 1207.30057
Sidi, Avram
2010
Asymptotic expansions of Gauss-Legendre quadrature rules for integrals with endpoint singularities. Zbl 1198.65048
Sidi, Avram
2009
Asymptotic expansions of Legendre series coeffcieints for functions with endpoint singularities. Zbl 1181.41049
Sidi, Avram
2009
Variable transformations and Gauss-Legendre quadrature for integrals with endpoint singularities. Zbl 1209.65031
Sidi, Avram
2009
Efficient Beltrami image filtering via vector extrapolation methods. Zbl 1191.60089
Rosman, Guy; Dascal, Lorina; Sidi, Avram; Kimmel, Ron
2009
Vector extrapolation methods with applications to solution of large systems of equations and to PageRank computations. Zbl 1145.65312
Sidi, Avram
2008
Further extension of a class of periodizing variable transformations for numerical integration. Zbl 1161.65019
Sidi, Avram
2008
Zero distribution of composite polynomials and polynomials biorthogonal to exponentials. Zbl 1181.42027
Lubinsky, D. S.; Sidi, A.
2008
A de Montessus type convergence study of a least-squares vector-valued rational interpolation procedure. Zbl 1158.41002
Sidi, Avram
2008
A de Montessus type convergence study for a vector-valued rational interpolation procedure. Zbl 1144.41002
Sidi, Avram
2008
Generalization of the secant method for nonlinear equations. Zbl 1170.65031
Sidi, Avram
2008
Biorthogonal polynomials and numerical integration formulas for infinite intervals. Zbl 1221.65081
Sidi, Avram; Lubinsky, Doron S.
2007
A novel class of symmetric and nonsymmetric periodizing variable transformations for numerical integration. Zbl 1133.65013
Sidi, Avram
2007
Extension of a class of periodizing variable transformations for numerical integration. Zbl 1103.65029
Sidi, Avram
2006
Algebraic properties of some new vector-valued rational interpolants. Zbl 1102.41012
Sidi, Avram
2006
Numerical integration over smooth surfaces in $$\mathbb R^3$$ via class $$\mathcal Y_m$$ variable transformations. II: Singular integrands. Zbl 1159.65315
Sidi, Avram
2006
A challenging test for convergence accelerators: summation of a series with a special sign pattern. Zbl 1162.40002
Sidi, Avram
2006
Application of class $$\mathcal I_{m}$$ variable transformations to numerical integration over surfaces of spheres. Zbl 1077.65022
Sidi, Avram
2005
Numerical integration over smooth surfaces in $$\mathbb R^3$$ via class $$\mathcal I_{m}$$ variable transformations. I: Smooth integrands. Zbl 1086.65022
Sidi, Avram
2005
Analysis of Atkinson’s variable transformation for numerical integration over smooth surfaces in $$\mathbb R^{3}$$. Zbl 1082.65030
Sidi, Avram
2005
Euler-Maclaurin expansions for integrals with endpoint singularities: A new perspective. Zbl 1081.65003
Sidi, Avram
2004
A new approach to vector-valued rational interpolation. Zbl 1065.41022
Sidi, Avram
2004
Practical extrapolation methods. Theory and applications. Zbl 1041.65001
Sidi, Avram
2003
Orthogonal polynomials and semi-iterative methods for the Drazin-inverse solution of singular linear systems. Zbl 1019.65026
Sidi, Avram; Kanevsky, Yuliya
2003
A convergence and stability study of the iterated Lubkin transformation and the $$\theta$$-algorithm. Zbl 1014.65003
Sidi, Avram
2003
A zero-cost preconditioning for a class of indefinite linear systems. Zbl 1141.65362
Sidi, Avram
2003
New convergence results on the generalized Richardson extrapolation process GREP$$^{(1)}$$ for logarithmic sequences. Zbl 1076.41018
Sidi, Avram
2002
DGMRES: A GMRES-type algorithm for Drazin-inverse solution of singular nonsymmetric linear systems. Zbl 0982.65043
Sidi, Avram
2001
Extrapolation methods for infinite multiple series and integrals. Zbl 1014.65002
Levin, David; Sidi, Avram
2001
A Bi-CG type iterative method for Drazin-inverse solution of singular inconsistent nonsymmetric linear systems of arbitrary index. Zbl 0965.65064
2000
Efficient computation of oscillatory integrals via adaptive multiscale local Fourier bases. Zbl 0958.65148
Averbuch, A.; Braverman, E.; Coifman, R.; Israeli, M.; Sidi, A.
2000
The Richardson extrapolation process with a harmonic sequence of collocation points. Zbl 0957.65002
Sidi, Avram
2000
Extrapolation methods and derivatives of limits of sequences. Zbl 0947.65001
Sidi, Avram
2000
Stability and accuracy of optimal local non-reflecting boundary conditions. Zbl 0972.65078
Sidi, Avram; Givoli, Dan
2000
A unified approach to Krylov subspace methods for the Drazin-inverse solution of singular nonsymmetric linear systems. Zbl 0983.65054
Sidi, Avram
1999
Further convergence and stability results for the generalized Richardson extrapolation process $$GREP^{(1)}$$ with an application to the $$D^{(1)}$$-transformation for infinite integrals. Zbl 0958.65008
Sidi, Avram
1999
Improving the accuracy of quadrature method solutions of Fredholm integral equations that arise from nonlinear two-point boundary value problems. Zbl 0974.65123
Sidi, Avram; Pennline, James A.
1999
Preconditioning spectral element schemes for definite and indefinite problems. Zbl 0939.65128
Shapira, Yair; Israeli, Moshe; Sidi, Avram; Zrahia, Uzi
1999
Upper bounds for convergence rates of acceleration methods with initial iterations. Zbl 0917.65029
Sidi, Avram; Shapira, Yair
1998
Krylov subspace methods for eigenvalues with special properties and their analysis for normal matrices. Zbl 0942.65038
Sidi, Avram
1998
A semi-iterative method for real spectrum singular linear systems with an arbitrary index. Zbl 0899.65020
Climent, Joan-Josep; Neumann, Michael; Sidi, Avram
1997
A complete convergence and stability theory for a generalized Richardson extrapolation process. Zbl 0883.40001
Sidi, Avram
1997
Computation of infinite integrals involving Bessel functions of arbitrary order by the $$\overline{D}$$-transformation. Zbl 0871.65012
Sidi, Avram
1997
An automatic integration procedure for infinite range integrals involving oscillatory kernels. Zbl 0879.65015
Hasegawa, Takemitsu; Sidi, Avram
1996
Towards automatic multigrid algorithms for SPD, nonsymmetric and indefinite problems. Zbl 0851.65086
Shapira, Yair; Israeli, Moshe; Sidi, Avram
1996
Further results on convergence and stability of a generalization of the Richardson extrapolation process. Zbl 0847.65002
Sidi, Avram
1996
Extension and completion of Wynn’s theory on convergence of columns of the epsilon table. Zbl 0858.41011
Sidi, Avram
1996
Optimal error bounds for convergents of a family of continued fractions. Zbl 0852.40004
Shapira, Yair; Sidi, Avram; Israeli, Moshe
1996
Convergence analysis for a generalized Richardson extrapolation process with an application to the $$d^{(1)}$$-transformation on convergent and divergent logarithmic sequences. Zbl 0853.65003
Sidi, Avram
1995
Application of vector-valued rational approximations to the matrix eigenvalue problem and connections with Krylov subspace methods. Zbl 0843.65023
Sidi, Avram
1995
Acceleration of convergence of (generalized) Fourier series by the $$d$$- transformation. Zbl 0834.65142
Sidi, Avram
1995
Rational approximations from power series of vector-valued meromorphic functions. Zbl 0808.41010
Sidi, Avram
1994
Strong asymptotics for polynomials biorthogonal to powers of $$\log X$$. Zbl 0814.30022
Lubinsky, D. S.; Sidi, A.
1994
Convergence of intermediate rows of minimal polynomial and reduced rank extrapolation tables. Zbl 0803.65073
Sidi, Avram
1994
A new variable transformation for numerical integration. Zbl 0791.41027
Sidi, Avram
1993
Development of iterative techniques and extrapolation methods for Drazin inverse solution of consistent or inconsistent singular linear systems. Zbl 0768.65014
Sidi, Avram
1992
Efficient implementation of minimal polynomial and reduced rank extrapolation methods. Zbl 0747.65002
Sidi, Avram
1991
Solution of an integer programming problem related to convergence of rows of Padé approximants. Zbl 0738.65003
Kaminski, Michael; Sidi, Avram
1991
On a generalization of the Richardson extrapolation process. Zbl 0709.65002
Sidi, Avram
1990
Quantitative and constructive aspects of the generalized Koenig’s and de Montessus’s theorems for Padé approximants. Zbl 0693.41015
Sidi, Avram
1990
On rates of acceleration of extrapolation methods for oscillatory infinite integrals. Zbl 0714.65021
Sidi, Avram
1990
Application of vector extrapolation methods to consistent singular linear systems. Zbl 0714.65031
Sidi, Avram
1990
Comparison of some numerical quadrature formulas for weakly singular periodic Fredholm integral equations. Zbl 0687.65124
Sidi, Avram
1989
On extensions of the power method for normal operators. Zbl 0678.65023
Sidi, Avram
1989
Quadrature methods for periodic singular and weakly singular Fredholm integral equations. Zbl 0662.65122
Sidi, Avram; Israeli, Moshe
1988
Extrapolation vs. projection methods for linear systems of equations. Zbl 0646.65031
Sidi, Avram
1988
A user-friendly extrapolation method for oscillatory infinite integrals. Zbl 0694.40004
Sidi, Avram
1988
Convergence and stability analyses for some vector extrapolation methods in the presence of defective iteration matrices. Zbl 0646.65030
Sidi, Avram; Bridger, Jacob
1988
Recursive algorithms for vector extrapolation methods. Zbl 0649.65004
Ford, William F.; Sidi, Avram
1988
Erratum: Correction to “Extrapolation methods for vector sequences”. Zbl 0664.65002
Smith, David A.; Ford, William F.; Sidi, Avram
1988
Generalizations of Richardson extrapolation with applications to numerical integration. Zbl 0647.65002
Sidi, Avram
1988
Extrapolation methods for vector sequences. Zbl 0622.65003
Smith, David A.; Ford, William F.; Sidi, Avram
1987
An algorithm for a generalization of the Richardson extrapolation process. Zbl 0627.65001
Ford, William F.; Sidi, Avram
1987
Extrapolation methods for divergent oscillatory infinite integrals that are defined in the sense of summability. Zbl 0634.41018
Sidi, Avram
1987
Acceleration of convergence of vector sequences. Zbl 0596.65016
Sidi, Avram; Ford, William F.; Smith, David A.
1986
Convergence and stability properties of minimal polynomial and reduced rank extrapolation algorithms. Zbl 0612.65001
Sidi, Avram
1986
Convergence of product integration rules for functions with interior and endpoint singularities over bounded and unbounded intervals. Zbl 0602.41032
Lubinsky, D. S.; Sidi, Avram
1986
On the long time behavior of a generalized KdV equation. Zbl 0625.35072
Sidi, A.; Sulem, C.; Sulem, P. L.
1986
Borel summability and converging factors for some everywhere divergent series. Zbl 0639.40001
Sidi, Avram
1986
...and 24 more Documents
all top 5

### Cited by 739 Authors

 75 Sidi, Avram 23 Brezinski, Claude 21 Huang, Jin 17 Wei, Yimin 12 Redivo-Zaglia, Michela 11 Lubinsky, Doron S. 10 Jbilou, Khalide 10 Sadok, Hassane 10 Safouhi, Hassan 9 Hasegawa, Takemitsu 8 Graves-Morris, Peter R. 8 He, Yi 8 Hu, Xingbiao 7 Cheng, Pan 7 Ehrenmark, Ulf Torsten 7 Homeier, Herbert H. H. 7 Wang, Tongke 7 Wen, Chun 7 Weniger, Ernst Joachim 6 Li, Hu 6 Zhou, Jieyong 5 Ford, William F. 5 He, Xiaoming 5 Hou, Thomas Yizhao 5 Huang, Ting-Zhu 5 Lowengrub, John Samuel 5 Osada, Naoki 5 Slevinsky, Richard Mikaël 5 Sugiura, Hiroshi 5 Thukral, Rajinder 5 Zhang, Zhiyue 4 Bu, Changjiang 4 Ceniceros, Hector D. 4 Chang, Xiangke 4 Duan, Jinqiao 4 Duran, Angel 4 Espelid, Terje O. 4 Ganapol, Barry D. 4 Li, Xiaofan 4 Li, Zi-Cai 4 López Lagomasino, Guillermo Tomás 4 Lu, Tao 4 Ma, Haifeng 4 Monegato, Giovanni 4 Rabinowitz, Philip 4 Shapira, Yair 4 Shelley, Michael J. 4 Shen, Zhaoli 4 Stanimirović, Predrag S. 4 Sun, Jianqing 4 Wang, Zhu 4 Xu, Yuesheng 4 Yun, Beong In 4 Zeng, Guang 4 Zhao, Yunhe 3 Borwein, Jonathan Michael 3 Bosuwan, Nattapong 3 de Doncker, Elise 3 Elliott, David L. 3 Gu, Xian-Ming 3 Hu, Qianying 3 Israeli, Moshe 3 Klöckner, Andreas 3 Liu, Zhifang 3 Lopes, Miles E. 3 Lucas, Stephen K. 3 Luo, Xin 3 Lyness, James N. 3 Ma, Yanying 3 Matos, Ana Cristina 3 Nie, Qing 3 Pennline, James A. 3 Pu, Bingyuan 3 Ransford, Thomas J. 3 Reichel, Lothar 3 Roberts, D. E. 3 Salemi, Abbas 3 Varadhan, Ravi 3 Wang, Xiao 3 Ying, Lexing 2 Ardalan, Alireza A. 2 Attar, Peter J. 2 Averbuch, Amir Z. 2 Bach, Francis R. 2 Bailey, David Harold 2 Barnett, Alex H. 2 Batenkov, Dmitry 2 Beale, J. Thomas 2 Bertelle, Roberto 2 Buzhabadi, Reza 2 Cacoq, J. 2 Chen, Chong 2 Chen, Jianbiao 2 Cui, Xiaoke 2 Cuyt, Annie A. M. 2 Dagnino, Catterina 2 De Bonis, Maria Carmela 2 de la Calle Ysern, Bernardo 2 Degroote, Joris 2 Deng, Chunyuan ...and 639 more Authors
all top 5

### Cited in 165 Serials

 105 Journal of Computational and Applied Mathematics 51 Numerical Algorithms 37 Applied Mathematics and Computation 36 Applied Numerical Mathematics 30 Journal of Computational Physics 23 Mathematics of Computation 18 Linear Algebra and its Applications 17 Numerische Mathematik 16 Journal of Approximation Theory 13 Advances in Computational Mathematics 12 Journal of Scientific Computing 9 BIT 8 Computers & Mathematics with Applications 7 Calcolo 7 International Journal of Computer Mathematics 6 Constructive Approximation 6 Journal of Integral Equations and Applications 6 Physics of Fluids 6 Numerical Linear Algebra with Applications 5 Journal of Mathematical Physics 5 Applied and Computational Harmonic Analysis 5 Engineering Analysis with Boundary Elements 5 Journal of Applied Mathematics and Computing 4 Computer Methods in Applied Mechanics and Engineering 4 Journal of Engineering Mathematics 4 Journal of Fluid Mechanics 4 Journal of Mathematical Analysis and Applications 4 International Journal for Numerical Methods in Engineering 4 Computational Mechanics 4 Applied Mathematical Modelling 4 Journal of Computational and Theoretical Transport 3 Computers and Fluids 3 Computer Physics Communications 3 Linear and Multilinear Algebra 3 Journal of Differential Equations 3 Theoretical Computer Science 3 Applied Mathematics Letters 3 Mathematical and Computer Modelling 3 Japan Journal of Industrial and Applied Mathematics 3 Computational Statistics and Data Analysis 3 Journal of Mathematical Chemistry 3 Mathematical Problems in Engineering 3 Computational Methods and Function Theory 2 Journal of the Mechanics and Physics of Solids 2 Mathematical Methods in the Applied Sciences 2 Computing 2 Journal of Functional Analysis 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerical Functional Analysis and Optimization 2 Applied Mathematics and Mechanics. (English Edition) 2 Numerical Methods for Partial Differential Equations 2 SIAM Journal on Matrix Analysis and Applications 2 Applications of Mathematics 2 Computational Statistics 2 Computational Mathematics and Mathematical Physics 2 International Journal of Computer Vision 2 Computational and Applied Mathematics 2 Complexity 2 Journal of Machine Learning Research (JMLR) 2 Multiscale Modeling & Simulation 2 Science China. Mathematics 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 SIAM Journal on Mathematics of Data Science 1 Acta Mechanica 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 International Journal of Engineering Science 1 Israel Journal of Mathematics 1 Journal of Statistical Physics 1 Physica A 1 Scandinavian Journal of Statistics 1 Transport Theory and Statistical Physics 1 Wave Motion 1 ACM Transactions on Mathematical Software 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Statistics 1 Journal of Applied Probability 1 Journal of Econometrics 1 Journal of Number Theory 1 Journal of Optimization Theory and Applications 1 Mathematische Zeitschrift 1 Meccanica 1 Operations Research 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tohoku Mathematical Journal. Second Series 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Economic Dynamics & Control 1 SIAM Journal on Discrete Mathematics 1 Journal of the Ramanujan Mathematical Society 1 European Journal of Applied Mathematics 1 Computational Mathematics and Modeling 1 Neural Computation 1 Journal of Global Optimization 1 European Journal of Operational Research ...and 65 more Serials
all top 5

### Cited in 46 Fields

 461 Numerical analysis (65-XX) 150 Approximations and expansions (41-XX) 65 Partial differential equations (35-XX) 51 Fluid mechanics (76-XX) 47 Linear and multilinear algebra; matrix theory (15-XX) 35 Sequences, series, summability (40-XX) 34 Harmonic analysis on Euclidean spaces (42-XX) 33 Functions of a complex variable (30-XX) 30 Mechanics of deformable solids (74-XX) 28 Special functions (33-XX) 28 Integral equations (45-XX) 21 Computer science (68-XX) 17 Ordinary differential equations (34-XX) 16 Operations research, mathematical programming (90-XX) 15 Integral transforms, operational calculus (44-XX) 15 Probability theory and stochastic processes (60-XX) 15 Statistics (62-XX) 14 Quantum theory (81-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 Number theory (11-XX) 10 Information and communication theory, circuits (94-XX) 9 Potential theory (31-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Biology and other natural sciences (92-XX) 7 Operator theory (47-XX) 7 Optics, electromagnetic theory (78-XX) 5 Real functions (26-XX) 5 Mechanics of particles and systems (70-XX) 4 Combinatorics (05-XX) 4 Difference and functional equations (39-XX) 4 Geophysics (86-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Systems theory; control (93-XX) 2 History and biography (01-XX) 2 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Measure and integration (28-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Mathematics education (97-XX)