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Anselone, Philip M.

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Author ID: anselone.philip-m Recent zbMATH articles by "Anselone, Philip M."
Published as: Anselone, P. M.; Anselone, Philip; Anselone, Philip M.
Documents Indexed: 61 Publications since 1958, including 2 Books
Biographic References: 2 Publications

Publications by Year

Citations contained in zbMATH

46 Publications have been cited 709 times in 566 Documents Cited by Year
Collectively compact operator approximation theory and applications to integral equations. With an appendix by Joel Davis. Zbl 0228.47001
Anselone, Philip M.
261
1971
A general method for the construction of interpolating or smoothing spline-functions. Zbl 0197.13501
Anselone, P. M.; Laurent, P. J.
66
1968
Approximate solutions of integral and operator equations. Zbl 0149.11502
Anselone, P. M.; Moore, R. H.
45
1964
Spectral analysis of collectively compact, strongly convergent operator sequences. Zbl 0157.45203
Anselone, P. M.; Palmer, T. W.
39
1968
Integral equations on the half line. Zbl 0575.65137
Anselone, P. M.; Sloan, Ian H.
27
1985
The solution of characteristic value-vector problems by Newton’s method. Zbl 0162.46602
Anselone, P. M.; Rall, L. B.
26
1968
Singularity subtraction in the numerical solution of integral equations. Zbl 0477.65095
Anselone, P. M.
19
1981
Collectively compact sets of linear operators. Zbl 0157.45202
Anselone, P. M.; Palmer, T. W.
19
1968
Translation invariant subspaces of finite dimension. Zbl 0138.37903
Anselone, P. M.; Korevaar, J.
14
1964
Nonlinear integral equations on the half line. Zbl 0766.45001
Anselone, P. M.; Lee, J. W.
13
1992
Compactness principles in nonlinear operator approximation theory. Zbl 0466.65036
Anselone, P. M.; Ansorge, Rainer
13
1979
An extension of the Newton-Kantorovic method for solving nonlinear equations with an application to elasticity. Zbl 0144.15802
Anselone, P. M.; Moore, R. H.
13
1966
Uniform approximation theory for integral equations with discontinuous kernels. Zbl 0183.18401
Anselone, P. M.
12
1967
Collectively compact approximations of integral operators with discontinuous kernels. Zbl 0157.45201
Anselone, P. M.
11
1968
Ergodic theory for discrete semi-Markov chains. Zbl 0104.37001
Anselone, P. M.
11
1960
Numerical solutions of integral equations on the half line. I: The compact case. Zbl 0613.65137
Anselone, P. M.; Sloan, I. H.
10
1987
Numerical solutions of integral equations on the half line. II: The Wiener-Hopf case. Zbl 0662.65124
Anselone, Philip M.; Sloan, Ian H.
9
1988
Convergence and error bounds for approximate solutions of integral and operator equations. Zbl 0158.34102
Anselone, P. M.
9
1965
Spectral approximations for Wiener-Hopf operators. II. Zbl 0769.45001
Anselone, P. M.; Sloan, I. H.
8
1992
A unified framework for the discretization of nonlinear operator equations. Zbl 0484.65036
Anselone, P. M.; Ansorge, Rainer
7
1981
Spectral properties of collectively compact sets of linear operators. Zbl 0157.45301
Anselone, P. M.; Palmer, T. W.
6
1968
Double approximation methods for the solution of Fredholm integral equations. Zbl 0336.65058
Anselone, P. M.; Lee, J. W.
5
1976
Compactness properties of sets of operators and their adjoints. Zbl 0176.11105
Anselone, P. M.
5
1969
Collectively compact and totally bounded sets of linear operators. Zbl 0159.43003
Anselone, P. M.
5
1968
On a class of linear difference-integral equations. Zbl 0121.08902
Anselone, P. M.; Greenspan, D.
5
1963
On a difference-integral equation. Zbl 0149.33202
Anselone, P. M.; Bueckner, H. F.
5
1962
Error bounds for integral equations on the half line. Zbl 0675.65143
Anselone, P. M.; Baker, C. T. H.
4
1988
Approximate solution of weakly singular integral equations. Zbl 0441.65107
Anselone, P. M.; Krabs, W.
4
1979
Uniformly convergent approximate solutions of Fredholm integral equations. Zbl 0229.65089
Anselone, P. M.; Gonzalez-Fernandez, J. M.
4
1965
Discrete closure and asymptotic (quasi-) regularity in discretization algorithms. Zbl 0629.65062
Anselone, P. M.; Ansorge, R.
3
1987
The approximate solution of monotone nonlinear operator equations. Zbl 0617.47039
Anselone, P. M.; Lei, Jin-Gan
3
1986
Perturbations of outer inverses. Zbl 0476.47007
Anselone, P. M.; Nashed, M. Z.
3
1980
Spectral properties of integral operators with nonnegative kernels. Zbl 0341.47033
Anselone, Philip M.; Lee, John W.
3
1974
Perturbations of best approximation problems. Zbl 0264.65009
Anselone, Philip M.; Davis, Joel
3
1973
Spectral approximations for Wiener-Hopf operators. Zbl 0706.45002
Anselone, P. M.; Sloan, I. H.
2
1990
Regular operator approximation theory. Zbl 0575.41014
Anselone, P. M.; Treuden, M. L.
2
1985
Convergence of the discrete ordinates method for the transport equation. Zbl 0297.45010
Anselone, P. M.; Gibbs, A. G.
2
1974
The optimal exchange algorithm and comparisons with the generalized Remes algorithm. Zbl 0255.41027
Anselone, P. M.; Taylor, G. D.
2
1973
Abstract Riemann integrals, monotone approximations, and generalizations of Korovkin’s theorem. Zbl 0217.16704
Anselone, P. M.
2
1970
The atypical zeros of a class of entire functions. Zbl 0192.17102
Anselone, P. M.; Boas, R. P. jun.
2
1964
Convergence of Chandrasekhar’s method for inhomogeneous transfer problems. Zbl 0121.23203
Anselone, P. M.
2
1961
Nonlinear operator approximation theory based on demi-regular convergence. Zbl 0643.65027
Anselone, P. M.; Lei, Jingan
1
1986
Recent advances in operator approximation theory. Zbl 0598.41024
Anselone, P. M.
1
1986
Numerical integration of weakly singular functions. Zbl 0452.65011
Anselone, P. M.; Opfer, G.
1
1979
Matrices of linear operators. Zbl 0117.09201
Anselone, P. M.
1
1963
Convergence of Chandrasekhar’s method for the problem of diffuse reflection. Zbl 0093.22801
Anselone, Philip M.
1
1960
Nonlinear integral equations on the half line. Zbl 0766.45001
Anselone, P. M.; Lee, J. W.
13
1992
Spectral approximations for Wiener-Hopf operators. II. Zbl 0769.45001
Anselone, P. M.; Sloan, I. H.
8
1992
Spectral approximations for Wiener-Hopf operators. Zbl 0706.45002
Anselone, P. M.; Sloan, I. H.
2
1990
Numerical solutions of integral equations on the half line. II: The Wiener-Hopf case. Zbl 0662.65124
Anselone, Philip M.; Sloan, Ian H.
9
1988
Error bounds for integral equations on the half line. Zbl 0675.65143
Anselone, P. M.; Baker, C. T. H.
4
1988
Numerical solutions of integral equations on the half line. I: The compact case. Zbl 0613.65137
Anselone, P. M.; Sloan, I. H.
10
1987
Discrete closure and asymptotic (quasi-) regularity in discretization algorithms. Zbl 0629.65062
Anselone, P. M.; Ansorge, R.
3
1987
The approximate solution of monotone nonlinear operator equations. Zbl 0617.47039
Anselone, P. M.; Lei, Jin-Gan
3
1986
Nonlinear operator approximation theory based on demi-regular convergence. Zbl 0643.65027
Anselone, P. M.; Lei, Jingan
1
1986
Recent advances in operator approximation theory. Zbl 0598.41024
Anselone, P. M.
1
1986
Integral equations on the half line. Zbl 0575.65137
Anselone, P. M.; Sloan, Ian H.
27
1985
Regular operator approximation theory. Zbl 0575.41014
Anselone, P. M.; Treuden, M. L.
2
1985
Singularity subtraction in the numerical solution of integral equations. Zbl 0477.65095
Anselone, P. M.
19
1981
A unified framework for the discretization of nonlinear operator equations. Zbl 0484.65036
Anselone, P. M.; Ansorge, Rainer
7
1981
Perturbations of outer inverses. Zbl 0476.47007
Anselone, P. M.; Nashed, M. Z.
3
1980
Compactness principles in nonlinear operator approximation theory. Zbl 0466.65036
Anselone, P. M.; Ansorge, Rainer
13
1979
Approximate solution of weakly singular integral equations. Zbl 0441.65107
Anselone, P. M.; Krabs, W.
4
1979
Numerical integration of weakly singular functions. Zbl 0452.65011
Anselone, P. M.; Opfer, G.
1
1979
Double approximation methods for the solution of Fredholm integral equations. Zbl 0336.65058
Anselone, P. M.; Lee, J. W.
5
1976
Spectral properties of integral operators with nonnegative kernels. Zbl 0341.47033
Anselone, Philip M.; Lee, John W.
3
1974
Convergence of the discrete ordinates method for the transport equation. Zbl 0297.45010
Anselone, P. M.; Gibbs, A. G.
2
1974
Perturbations of best approximation problems. Zbl 0264.65009
Anselone, Philip M.; Davis, Joel
3
1973
The optimal exchange algorithm and comparisons with the generalized Remes algorithm. Zbl 0255.41027
Anselone, P. M.; Taylor, G. D.
2
1973
Collectively compact operator approximation theory and applications to integral equations. With an appendix by Joel Davis. Zbl 0228.47001
Anselone, Philip M.
261
1971
Abstract Riemann integrals, monotone approximations, and generalizations of Korovkin’s theorem. Zbl 0217.16704
Anselone, P. M.
2
1970
Compactness properties of sets of operators and their adjoints. Zbl 0176.11105
Anselone, P. M.
5
1969
A general method for the construction of interpolating or smoothing spline-functions. Zbl 0197.13501
Anselone, P. M.; Laurent, P. J.
66
1968
Spectral analysis of collectively compact, strongly convergent operator sequences. Zbl 0157.45203
Anselone, P. M.; Palmer, T. W.
39
1968
The solution of characteristic value-vector problems by Newton’s method. Zbl 0162.46602
Anselone, P. M.; Rall, L. B.
26
1968
Collectively compact sets of linear operators. Zbl 0157.45202
Anselone, P. M.; Palmer, T. W.
19
1968
Collectively compact approximations of integral operators with discontinuous kernels. Zbl 0157.45201
Anselone, P. M.
11
1968
Spectral properties of collectively compact sets of linear operators. Zbl 0157.45301
Anselone, P. M.; Palmer, T. W.
6
1968
Collectively compact and totally bounded sets of linear operators. Zbl 0159.43003
Anselone, P. M.
5
1968
Uniform approximation theory for integral equations with discontinuous kernels. Zbl 0183.18401
Anselone, P. M.
12
1967
An extension of the Newton-Kantorovic method for solving nonlinear equations with an application to elasticity. Zbl 0144.15802
Anselone, P. M.; Moore, R. H.
13
1966
Convergence and error bounds for approximate solutions of integral and operator equations. Zbl 0158.34102
Anselone, P. M.
9
1965
Uniformly convergent approximate solutions of Fredholm integral equations. Zbl 0229.65089
Anselone, P. M.; Gonzalez-Fernandez, J. M.
4
1965
Approximate solutions of integral and operator equations. Zbl 0149.11502
Anselone, P. M.; Moore, R. H.
45
1964
Translation invariant subspaces of finite dimension. Zbl 0138.37903
Anselone, P. M.; Korevaar, J.
14
1964
The atypical zeros of a class of entire functions. Zbl 0192.17102
Anselone, P. M.; Boas, R. P. jun.
2
1964
On a class of linear difference-integral equations. Zbl 0121.08902
Anselone, P. M.; Greenspan, D.
5
1963
Matrices of linear operators. Zbl 0117.09201
Anselone, P. M.
1
1963
On a difference-integral equation. Zbl 0149.33202
Anselone, P. M.; Bueckner, H. F.
5
1962
Convergence of Chandrasekhar’s method for inhomogeneous transfer problems. Zbl 0121.23203
Anselone, P. M.
2
1961
Ergodic theory for discrete semi-Markov chains. Zbl 0104.37001
Anselone, P. M.
11
1960
Convergence of Chandrasekhar’s method for the problem of diffuse reflection. Zbl 0093.22801
Anselone, Philip M.
1
1960
all top 5

Cited by 697 Authors

14 Anselone, Philip M.
12 Huang, Jin
11 Ahues, Mario Paul
11 Chandler-Wilde, Simon N.
8 Sloan, Ian Hugh
7 Golberg, Michael A.
7 Nelakanti, Gnaneshwar
6 Grigorieff, Rolf Dieter
6 Jeggle, Hansgeorg
6 Jeribi, Aref
6 Largillier, Alain
6 Latrach, Khalid
6 Limnios, Nikolaos
6 O’Regan, Donal
6 Xu, Yuesheng
5 Almira, Jose María
5 Ammari, Habib M.
5 Arens, Tilo
5 Argyros, Ioannis Konstantinos
5 Han, Guoqiang
5 Kelley, Carl T.
5 Schumaker, Larry L.
5 Vainikko, Gennadi M.
5 Wendland, Wolfgang L.
4 Allaire, Grégoire
4 Atkinson, Kendall Eugene
4 Cheng, Pan
4 Das, Payel
4 Kersey, Scott N.
4 Laurita, Concetta
4 Li, Hu
4 Limaye, Balmohan Vishnu
4 Lin, Qun
4 Maleknejad, Khosrow
4 Moore, Robert H.
4 Victory, Harold Dean jun.
4 Weinert, Howard L.
4 Wong, Sze-Ping
4 Zhang, Bo
3 Agarwal, Ravi P.
3 Ansorge, Rainer
3 Domínguez, Víctor
3 Elschner, Johannes
3 Fermo, Luisa
3 Gornet, Ruth
3 Joshi, Mohan C.
3 Kaneko, Hideaki
3 Koltracht, Israel
3 Lasiecka, Irena
3 Lin, Furong
3 Lindner, Marko
3 Lukas, Mark A.
3 Luo, Xin
3 Nahid, Nilofar
3 Ruch, David K.
3 Sayas, Francisco-Javier
3 Sidhu, Gursharan Singh
3 Stummel, Friedrich
3 Triggiani, Roberto
3 Wang, Zhu
3 Zhao, Yunhe
2 Amstutz, Samuel
2 Anderssen, Robert Scott
2 Baratella, Paola
2 Bica, Alexandru Mihai
2 Boffi, Daniele
2 Bosworth, Ken W.
2 Böttcher, Albrecht
2 Charfi, Salma
2 Chatelin, Francoise E.
2 Chen, Zhongying
2 Corradi, Corrado
2 Dancer, Edward Norman
2 Daniel, James W.
2 de Hoog, Frank Robert
2 Dehici, Abdelkader
2 Demkowicz, Leszek F.
2 DePree, John Deryck
2 Djordjević, Slaviša V.
2 Eggermont, Paul P. B.
2 Engl, Heinz W.
2 Eubank, Randall L.
2 Flores, José D.
2 Frosali, Giovanni
2 Ganesh, Madhu
2 Georgiadis, Stylianos
2 Gockenbach, Mark S.
2 Gohberg, Israel
2 González, Oscar R.
2 Graham, Ivan G.
2 Haseloh, Kai O.
2 He, Xiaoming
2 Heard, Melvin L.
2 Heckman, Nancy E.
2 James, Ralph L.
2 Jarlebring, Elias
2 Jeon, Youngmok
2 Jerome, Joseph W.
2 Kaboul, Hanane
2 Kang, Sheon-Young
...and 597 more Authors
all top 5

Cited in 143 Serials

46 Journal of Mathematical Analysis and Applications
46 Numerische Mathematik
35 Journal of Integral Equations and Applications
30 Journal of Computational and Applied Mathematics
30 Numerical Functional Analysis and Optimization
20 Mathematics of Computation
17 Journal of Approximation Theory
15 Applied Numerical Mathematics
13 International Journal of Computer Mathematics
10 Applied Mathematics and Computation
10 Computing
9 Journal of Differential Equations
8 Transport Theory and Statistical Physics
8 Mathematische Zeitschrift
7 Integral Equations and Operator Theory
7 Applied Mathematics Letters
6 Applicable Analysis
6 Computers & Mathematics with Applications
6 Journal of Computational Physics
6 BIT
6 Journal of Optimization Theory and Applications
6 Proceedings of the American Mathematical Society
6 Numerical Algorithms
6 Communications in Statistics. Theory and Methods
6 Linear Algebra and its Applications
5 Computer Methods in Applied Mechanics and Engineering
5 Mathematical Methods in the Applied Sciences
5 Calcolo
5 Transactions of the American Mathematical Society
5 Nonlinear Analysis. Theory, Methods & Applications
4 Journal of Soviet Mathematics
4 RAIRO. Modélisation Mathématique et Analyse Numérique
4 Aequationes Mathematicae
4 BIT. Nordisk Tidskrift for Informationsbehandling
3 Bulletin of the Australian Mathematical Society
3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
3 Aplikace Matematiky
3 Applied Mathematics and Optimization
3 Journal of Functional Analysis
3 Mathematics and Computers in Simulation
3 Mathematische Nachrichten
3 RAIRO. Analyse Numérique
3 Applied Mathematics and Mechanics. (English Edition)
3 Acta Mathematicae Applicatae Sinica. English Series
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Advances in Computational Mathematics
2 Archive for Rational Mechanics and Analysis
2 Communications on Pure and Applied Mathematics
2 Manuscripta Mathematica
2 Mathematica Slovaca
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 SIAM Journal on Numerical Analysis
2 Stochastic Analysis and Applications
2 Acta Mathematica Hungarica
2 Acta Applicandae Mathematicae
2 Journal of Complexity
2 Numerical Methods for Partial Differential Equations
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Computational Statistics
2 Communications in Partial Differential Equations
2 Journal of Elasticity
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Computational Statistics and Data Analysis
2 Journal of Mathematical Sciences (New York)
2 Journal of Nonparametric Statistics
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 The ANZIAM Journal
2 Nonlinear Analysis. Real World Applications
1 Biological Cybernetics
1 The Canadian Journal of Statistics
1 International Journal of Systems Science
1 Journal of Fluid Mechanics
1 Journal of Mathematical Biology
1 Journal of Statistical Physics
1 Studia Mathematica
1 Ukrainian Mathematical Journal
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 The Annals of Statistics
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Collectanea Mathematica
1 Commentationes Mathematicae Universitatis Carolinae
1 Czechoslovak Mathematical Journal
1 Demonstratio Mathematica
1 Journal of Computer and System Sciences
1 Journal of Econometrics
1 Journal of Mathematical Psychology
1 Mathematische Annalen
1 Mathematical Programming
1 Memoirs of the American Mathematical Society
1 Michigan Mathematical Journal
1 Monatshefte für Mathematik
1 Quarterly of Applied Mathematics
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 SIAM Journal on Control and Optimization
1 Siberian Mathematical Journal
1 Topology and its Applications
1 Advances in Applied Mathematics
1 Systems & Control Letters
1 Insurance Mathematics & Economics
1 Statistics & Probability Letters
...and 43 more Serials
all top 5

Cited in 45 Fields

333 Numerical analysis (65-XX)
183 Integral equations (45-XX)
135 Operator theory (47-XX)
83 Partial differential equations (35-XX)
58 Approximations and expansions (41-XX)
25 Ordinary differential equations (34-XX)
21 Statistical mechanics, structure of matter (82-XX)
20 Probability theory and stochastic processes (60-XX)
19 Statistics (62-XX)
18 Functional analysis (46-XX)
15 Fluid mechanics (76-XX)
14 Calculus of variations and optimal control; optimization (49-XX)
12 Optics, electromagnetic theory (78-XX)
12 Biology and other natural sciences (92-XX)
11 Systems theory; control (93-XX)
10 Mechanics of deformable solids (74-XX)
9 Difference and functional equations (39-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
8 Functions of a complex variable (30-XX)
8 Global analysis, analysis on manifolds (58-XX)
7 Abstract harmonic analysis (43-XX)
6 Quantum theory (81-XX)
6 Astronomy and astrophysics (85-XX)
5 Topological groups, Lie groups (22-XX)
5 Potential theory (31-XX)
5 Operations research, mathematical programming (90-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Differential geometry (53-XX)
3 Real functions (26-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 General and overarching topics; collections (00-XX)
2 General topology (54-XX)
2 Computer science (68-XX)
1 Combinatorics (05-XX)
1 Nonassociative rings and algebras (17-XX)
1 Measure and integration (28-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Special functions (33-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Integral transforms, operational calculus (44-XX)
1 Algebraic topology (55-XX)
1 Mechanics of particles and systems (70-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)
1 Information and communication theory, circuits (94-XX)

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