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Anselone, Philip M.

Author ID: anselone.philip-m Recent zbMATH articles by "Anselone, Philip M."
Published as: Anselone, P. M.; Anselone, Philip M.; Anselone, Philip
Documents Indexed: 61 Publications since 1958, including 2 Books
Biographic References: 2 Publications
Co-Authors: 22 Co-Authors with 41 Joint Publications
509 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

47 Publications have been cited 809 times in 646 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.
299
1971
A general method for the construction of interpolating or smoothing spline-functions. Zbl 0197.13501
Anselone, P. M.; Laurent, P. J.
70
1968
Approximate solutions of integral and operator equations. Zbl 0149.11502
Anselone, P. M.; Moore, R. H.
46
1964
Spectral analysis of collectively compact, strongly convergent operator sequences. Zbl 0157.45203
Anselone, P. M.; Palmer, T. W.
42
1968
Integral equations on the half line. Zbl 0575.65137
Anselone, P. M.; Sloan, Ian H.
29
1985
The solution of characteristic value-vector problems by Newton’s method. Zbl 0162.46602
Anselone, P. M.; Rall, L. B.
29
1968
Singularity subtraction in the numerical solution of integral equations. Zbl 0477.65095
Anselone, P. M.
27
1981
Collectively compact sets of linear operators. Zbl 0157.45202
Anselone, P. M.; Palmer, T. W.
23
1968
Nonlinear integral equations on the half line. Zbl 0766.45001
Anselone, P. M.; Lee, J. W.
19
1992
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.
16
1966
Translation invariant subspaces of finite dimension. Zbl 0138.37903
Anselone, P. M.; Korevaar, J.
15
1964
Uniform approximation theory for integral equations with discontinuous kernels. Zbl 0183.18401
Anselone, P. M.
15
1967
Numerical solutions of integral equations on the half line. I: The compact case. Zbl 0613.65137
Anselone, P. M.; Sloan, I. H.
15
1987
Compactness principles in nonlinear operator approximation theory. Zbl 0466.65036
Anselone, P. M.; Ansorge, Rainer
14
1979
Numerical solutions of integral equations on the half line. II: The Wiener-Hopf case. Zbl 0662.65124
Anselone, Philip M.; Sloan, Ian H.
12
1988
Ergodic theory for discrete semi-Markov chains. Zbl 0104.37001
Anselone, P. M.
12
1960
Collectively compact approximations of integral operators with discontinuous kernels. Zbl 0157.45201
Anselone, P. M.
12
1968
Spectral approximations for Wiener-Hopf operators. II. Zbl 0769.45001
Anselone, P. M.; Sloan, I. H.
9
1992
Convergence and error bounds for approximate solutions of integral and operator equations. Zbl 0158.34102
Anselone, P. M.
9
1965
Spectral properties of integral operators with nonnegative kernels. Zbl 0341.47033
Anselone, Philip M.; Lee, John W.
8
1974
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
Compactness properties of sets of operators and their adjoints. Zbl 0176.11105
Anselone, P. M.
6
1969
On a difference-integral equation. Zbl 0149.33202
Anselone, P. M.; Bueckner, H. F.
5
1962
Double approximation methods for the solution of Fredholm integral equations. Zbl 0336.65058
Anselone, P. M.; Lee, J. W.
5
1976
Collectively compact and totally bounded sets of linear operators. Zbl 0159.43003
Anselone, P. M.
5
1968
Approximate solution of weakly singular integral equations. Zbl 0441.65107
Anselone, P. M.; Krabs, W.
5
1979
Error bounds for integral equations on the half line. Zbl 0675.65143
Anselone, P. M.; Baker, C. T. H.
4
1988
On a class of linear difference-integral equations. Zbl 0121.08902
Anselone, P. M.; Greenspan, D.
4
1963
Uniformly convergent approximate solutions of Fredholm integral equations. Zbl 0229.65089
Anselone, P. M.; Gonzalez-Fernandez, J. M.
4
1965
Regular operator approximation theory. Zbl 0575.41014
Anselone, P. M.; Treuden, M. L.
3
1985
Convergence of Chandrasekhar’s method for inhomogeneous transfer problems. Zbl 0121.23203
Anselone, P. M.
3
1961
Discrete closure and asymptotic (quasi-) regularity in discretization algorithms. Zbl 0629.65062
Anselone, P. M.; Ansorge, R.
3
1987
Perturbations of outer inverses. Zbl 0476.47007
Anselone, P. M.; Nashed, M. Z.
3
1980
Perturbations of best approximation problems. Zbl 0264.65009
Anselone, Philip M.; Davis, Joel
3
1973
The approximate solution of monotone nonlinear operator equations. Zbl 0617.47039
Anselone, P. M.; Lei, Jin-Gan
3
1986
Abstract Riemann integrals, monotone approximations, and generalizations of Korovkin’s theorem. Zbl 0217.16704
Anselone, P. M.
2
1970
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
Spectral approximations for Wiener-Hopf operators. Zbl 0706.45002
Anselone, P. M.; Sloan, I. H.
2
1990
Spectral analysis of asymptotically compact operator sequences. Zbl 0879.47007
Anselone, Philip M.; Treuden, Michael L.
1
1996
Recent advances in operator approximation theory. Zbl 0598.41024
Anselone, P. M.
1
1986
Nonlinear operator approximation theory based on demi-regular convergence. Zbl 0643.65027
Anselone, P. M.; Lei, Jingan
1
1986
Convergence of Chandrasekhar’s method for the problem of diffuse reflection. Zbl 0093.22801
Anselone, Philip M.
1
1960
Matrices of linear operators. Zbl 0117.09201
Anselone, P. M.
1
1963
The atypical zeros of a class of entire functions. Zbl 0192.17102
Anselone, P. M.; Boas, R. P. jun.
1
1964
Numerical integration of weakly singular functions. Zbl 0452.65011
Anselone, P. M.; Opfer, G.
1
1979
Spectral analysis of asymptotically compact operator sequences. Zbl 0879.47007
Anselone, Philip M.; Treuden, Michael L.
1
1996
Nonlinear integral equations on the half line. Zbl 0766.45001
Anselone, P. M.; Lee, J. W.
19
1992
Spectral approximations for Wiener-Hopf operators. II. Zbl 0769.45001
Anselone, P. M.; Sloan, I. H.
9
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.
12
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.
15
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
Recent advances in operator approximation theory. Zbl 0598.41024
Anselone, P. M.
1
1986
Nonlinear operator approximation theory based on demi-regular convergence. Zbl 0643.65027
Anselone, P. M.; Lei, Jingan
1
1986
Integral equations on the half line. Zbl 0575.65137
Anselone, P. M.; Sloan, Ian H.
29
1985
Regular operator approximation theory. Zbl 0575.41014
Anselone, P. M.; Treuden, M. L.
3
1985
Singularity subtraction in the numerical solution of integral equations. Zbl 0477.65095
Anselone, P. M.
27
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
14
1979
Approximate solution of weakly singular integral equations. Zbl 0441.65107
Anselone, P. M.; Krabs, W.
5
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.
8
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.
299
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.
6
1969
A general method for the construction of interpolating or smoothing spline-functions. Zbl 0197.13501
Anselone, P. M.; Laurent, P. J.
70
1968
Spectral analysis of collectively compact, strongly convergent operator sequences. Zbl 0157.45203
Anselone, P. M.; Palmer, T. W.
42
1968
The solution of characteristic value-vector problems by Newton’s method. Zbl 0162.46602
Anselone, P. M.; Rall, L. B.
29
1968
Collectively compact sets of linear operators. Zbl 0157.45202
Anselone, P. M.; Palmer, T. W.
23
1968
Collectively compact approximations of integral operators with discontinuous kernels. Zbl 0157.45201
Anselone, P. M.
12
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.
15
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.
16
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.
46
1964
Translation invariant subspaces of finite dimension. Zbl 0138.37903
Anselone, P. M.; Korevaar, J.
15
1964
The atypical zeros of a class of entire functions. Zbl 0192.17102
Anselone, P. M.; Boas, R. P. jun.
1
1964
On a class of linear difference-integral equations. Zbl 0121.08902
Anselone, P. M.; Greenspan, D.
4
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.
3
1961
Ergodic theory for discrete semi-Markov chains. Zbl 0104.37001
Anselone, P. M.
12
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 789 Authors

17 Huang, Jin
13 Ahues, Mario Paul
13 Anselone, Philip M.
13 Chandler-Wilde, Simon N.
13 Nelakanti, Gnaneshwar
9 Latrach, Khalid
9 Li, Hu
8 Nahid, Nilofar
8 Sloan, Ian Hugh
7 Golberg, Michael A.
7 Limnios, Nikolaos
6 Grigorieff, Rolf Dieter
6 Jeggle, Hansgeorg
6 Jeribi, Aref
6 Largillier, Alain
6 Maleknejad, Khosrow
6 O’Regan, Donal
6 Xu, Yuesheng
5 Almira, Jose María
5 Ammari, Habib
5 Arens, Tilo
5 Argyros, Ioannis Konstantinos
5 Han, Guoqiang
5 Kelley, Carl T.
5 Schumaker, Larry L.
5 Vainikko, Gennadi
5 Wendland, Wolfgang L.
4 Allaire, Grégoire
4 Atkinson, Kendall Eugene
4 Cheng, Pan
4 Das, Payel
4 Fermo, Luisa
4 Kersey, Scott N.
4 Laurita, Concetta
4 Lee, John Walter
4 Limaye, Balmohan Vishnu
4 Lin, Qun
4 Pötzsche, Christian
4 Victory, Harold Dean jun.
4 Weinert, Howard L.
4 Wong, Sze-Ping
4 Zhang, Bo
3 Agarwal, Ravi P.
3 Amstutz, Samuel
3 Ansorge, Rainer
3 Böttcher, Albrecht
3 Domínguez, Víctor
3 Elschner, Johannes
3 Gornet, Ruth
3 Joshi, Mohan Chandra
3 Kaboul, Hanane
3 Kaneko, Hideaki
3 Kang, Sheon-Young
3 Koltracht, Israel
3 Lasiecka, Irena
3 Lin, Fu-Rong
3 Lindner, Marko
3 Lukas, Mark A.
3 Luo, Xin
3 Ma, Yanying
3 Maestripieri, Alejandra L.
3 Martínez Pería, Francisco D.
3 Moore, Robert H.
3 Nelson, Paul jun.
3 Nigam, Ritu
3 Ruch, David K.
3 Sayas, Francisco-Javier
3 Sidhu, Gursharan Singh
3 Stummel, Friedrich
3 Triggiani, Roberto
3 Wang, Zhu
3 Zeng, Guang
3 Zhao, Yunhe
2 Al-Izeri, Abdul-Majeed
2 Allouch, Chafik
2 Amirkhizi, Simin Aghaei
2 Anderssen, Robert Scott
2 Baratella, Paola
2 Boffi, Daniele
2 Bosworth, Ken W.
2 Chakraborty, Samiran
2 Chang, Der-Chen E.
2 Charfi, Salma
2 Chatelin, Francoise E.
2 Chen, Chong
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
2 DePree, John Deryck
2 Djordjević, Slaviša V.
2 Eggermont, Paul P. B.
2 Engl, Heinz W.
2 Eubank, Randall L.
2 Feng, Sheng-Ya
2 Ferrando, Miguel
2 Flores, José D.
...and 689 more Authors
all top 5

Cited in 181 Serials

50 Numerische Mathematik
46 Journal of Mathematical Analysis and Applications
37 Journal of Integral Equations and Applications
31 Numerical Functional Analysis and Optimization
28 Journal of Computational and Applied Mathematics
20 Mathematics of Computation
18 International Journal of Computer Mathematics
17 Journal of Approximation Theory
16 Applied Numerical Mathematics
10 Applied Mathematics and Computation
10 Computing
9 Journal of Differential Equations
8 Journal of Computational Physics
8 Transport Theory and Statistical Physics
8 Mathematische Zeitschrift
8 Numerical Algorithms
7 Applicable Analysis
7 Computers & Mathematics with Applications
7 Calcolo
7 Integral Equations and Operator Theory
7 Applied Mathematics Letters
6 Computer Methods in Applied Mechanics and Engineering
6 Mathematical Methods in the Applied Sciences
6 BIT
6 Journal of Optimization Theory and Applications
6 Proceedings of the American Mathematical Society
6 Transactions of the American Mathematical Society
6 Communications in Statistics. Theory and Methods
6 Linear Algebra and its Applications
5 SIAM Journal on Numerical Analysis
5 Nonlinear Analysis. Theory, Methods & Applications
4 Journal of Soviet Mathematics
4 RAIRO. Modélisation Mathématique et Analyse Numérique
4 Numerical Methods for Partial Differential Equations
4 Aequationes Mathematicae
4 Computational and Applied Mathematics
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 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 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Computational Statistics and Data Analysis
3 Advances in Computational Mathematics
2 Archive for Rational Mechanics and Analysis
2 Communications on Pure and Applied Mathematics
2 Journal of Mathematical Biology
2 Journal of Functional Analysis
2 Manuscripta Mathematica
2 Mathematische Annalen
2 Mathematica Slovaca
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Stochastic Analysis and Applications
2 Acta Mathematica Hungarica
2 Acta Applicandae Mathematicae
2 Journal of Complexity
2 Computational Statistics
2 Communications in Partial Differential Equations
2 Journal of Elasticity
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Journal of Mathematical Sciences (New York)
2 ETNA. Electronic Transactions on Numerical Analysis
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
2 Mathematical Modelling and Analysis
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Banach Journal of Mathematical Analysis
1 Biological Cybernetics
1 The Canadian Journal of Statistics
1 Communications in Mathematical Physics
1 Indian Journal of Pure & Applied Mathematics
1 International Journal of Systems Science
1 Journal of Engineering Mathematics
1 Journal of Fluid Mechanics
1 Journal of Statistical Physics
1 Linear and Multilinear Algebra
1 Nonlinearity
1 Studia Mathematica
1 Ukrainian Mathematical Journal
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Advances in Mathematics
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 Mathematical Programming
...and 81 more Serials
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Cited in 47 Fields

384 Numerical analysis (65-XX)
218 Integral equations (45-XX)
154 Operator theory (47-XX)
100 Partial differential equations (35-XX)
63 Approximations and expansions (41-XX)
29 Ordinary differential equations (34-XX)
26 Statistical mechanics, structure of matter (82-XX)
24 Statistics (62-XX)
23 Functional analysis (46-XX)
22 Probability theory and stochastic processes (60-XX)
18 Fluid mechanics (76-XX)
16 Biology and other natural sciences (92-XX)
15 Calculus of variations and optimal control; optimization (49-XX)
14 Mechanics of deformable solids (74-XX)
14 Optics, electromagnetic theory (78-XX)
12 Systems theory; control (93-XX)
10 Difference and functional equations (39-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
9 Potential theory (31-XX)
8 Functions of a complex variable (30-XX)
8 Dynamical systems and ergodic theory (37-XX)
8 Global analysis, analysis on manifolds (58-XX)
8 Quantum theory (81-XX)
7 Abstract harmonic analysis (43-XX)
6 Topological groups, Lie groups (22-XX)
6 Astronomy and astrophysics (85-XX)
6 Operations research, mathematical programming (90-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
4 Real functions (26-XX)
3 Measure and integration (28-XX)
3 Differential geometry (53-XX)
3 General topology (54-XX)
3 Computer science (68-XX)
3 Mechanics of particles and systems (70-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 General and overarching topics; collections (00-XX)
2 Integral transforms, operational calculus (44-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Information and communication theory, circuits (94-XX)
1 History and biography (01-XX)
1 Combinatorics (05-XX)
1 Nonassociative rings and algebras (17-XX)
1 \(K\)-theory (19-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Special functions (33-XX)
1 Algebraic topology (55-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year