Edit Profile Anselone, Philip M. Compute Distance To: Compute Author ID: 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 all top 5 Co-Authors 21 single-authored 5 Sloan, Ian Hugh 4 Ansorge, Rainer 3 Lee, Jun Woo 3 Palmer, Theodore W. 2 Lee, John Walter 2 Lei, Jingan 2 Moore, Robert H. 2 Porcelli, Pasquale 2 Treuden, Michael L. 1 Baker, Christopher T. H. 1 Boas, Ralph Philip jun. 1 Bückner, Hans 1 Davis, Joel 1 Gibbs, Alan G. 1 Gonzalez-Fernandez, Jose M. 1 Greenspan, Donald 1 Korevaar, Jacob 1 Krabs, Werner 1 Laurent, Pierre-Jean 1 Lee, Jee-Won 1 Nashed, M. Zuhair 1 Opfer, Gerhard 1 Rall, Louis B. 1 Taylor, Gerald D. all top 5 Serials 6 Journal of Mathematics and Mechanics 5 Journal of Mathematical Analysis and Applications 5 Journal of Integral Equations and Applications 4 Numerische Mathematik 3 Numerical Functional Analysis and Optimization 3 Pacific Journal of Mathematics 2 Applicable Analysis 2 Journal of Integral Equations 2 L’Enseignement Mathématique. 2e Série 1 American Mathematical Monthly 1 Archive for Rational Mechanics and Analysis 1 IMA Journal of Numerical Analysis 1 Journal of the Australian Mathematical Society, Series B 1 Monthly Notices of the Royal Astronomical Society 1 Rocky Mountain Journal of Mathematics 1 Duke Mathematical Journal 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Numerical Analysis 1 Linear Algebra and its Applications 1 Acta Mathematica Scientia 1 Journal of the Society for Industrial & Applied Mathematics 1 Classroom Resource Materials all top 5 Fields 26 Numerical analysis (65-XX) 20 Integral equations (45-XX) 13 Operator theory (47-XX) 4 Approximations and expansions (41-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications 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 0228.47001Anselone, Philip M. 261 1971 A general method for the construction of interpolating or smoothing spline-functions. Zbl 0197.13501Anselone, P. M.; Laurent, P. J. 66 1968 Approximate solutions of integral and operator equations. Zbl 0149.11502Anselone, P. M.; Moore, R. H. 45 1964 Spectral analysis of collectively compact, strongly convergent operator sequences. Zbl 0157.45203Anselone, P. M.; Palmer, T. W. 39 1968 Integral equations on the half line. Zbl 0575.65137Anselone, P. M.; Sloan, Ian H. 27 1985 The solution of characteristic value-vector problems by Newton’s method. Zbl 0162.46602Anselone, P. M.; Rall, L. B. 26 1968 Singularity subtraction in the numerical solution of integral equations. Zbl 0477.65095Anselone, P. M. 19 1981 Collectively compact sets of linear operators. Zbl 0157.45202Anselone, P. M.; Palmer, T. W. 19 1968 Translation invariant subspaces of finite dimension. Zbl 0138.37903Anselone, P. M.; Korevaar, J. 14 1964 Nonlinear integral equations on the half line. Zbl 0766.45001Anselone, P. M.; Lee, J. W. 13 1992 Compactness principles in nonlinear operator approximation theory. Zbl 0466.65036Anselone, P. M.; Ansorge, Rainer 13 1979 An extension of the Newton-Kantorovic method for solving nonlinear equations with an application to elasticity. Zbl 0144.15802Anselone, P. M.; Moore, R. H. 13 1966 Uniform approximation theory for integral equations with discontinuous kernels. Zbl 0183.18401Anselone, P. M. 12 1967 Collectively compact approximations of integral operators with discontinuous kernels. Zbl 0157.45201Anselone, P. M. 11 1968 Ergodic theory for discrete semi-Markov chains. Zbl 0104.37001Anselone, P. M. 11 1960 Numerical solutions of integral equations on the half line. I: The compact case. Zbl 0613.65137Anselone, P. M.; Sloan, I. H. 10 1987 Numerical solutions of integral equations on the half line. II: The Wiener-Hopf case. Zbl 0662.65124Anselone, Philip M.; Sloan, Ian H. 9 1988 Convergence and error bounds for approximate solutions of integral and operator equations. Zbl 0158.34102Anselone, P. M. 9 1965 Spectral approximations for Wiener-Hopf operators. II. Zbl 0769.45001Anselone, P. M.; Sloan, I. H. 8 1992 A unified framework for the discretization of nonlinear operator equations. Zbl 0484.65036Anselone, P. M.; Ansorge, Rainer 7 1981 Spectral properties of collectively compact sets of linear operators. Zbl 0157.45301Anselone, P. M.; Palmer, T. W. 6 1968 Double approximation methods for the solution of Fredholm integral equations. Zbl 0336.65058Anselone, P. M.; Lee, J. W. 5 1976 Compactness properties of sets of operators and their adjoints. Zbl 0176.11105Anselone, P. M. 5 1969 Collectively compact and totally bounded sets of linear operators. Zbl 0159.43003Anselone, P. M. 5 1968 On a class of linear difference-integral equations. Zbl 0121.08902Anselone, P. M.; Greenspan, D. 5 1963 On a difference-integral equation. Zbl 0149.33202Anselone, P. M.; Bueckner, H. F. 5 1962 Error bounds for integral equations on the half line. Zbl 0675.65143Anselone, P. M.; Baker, C. T. H. 4 1988 Approximate solution of weakly singular integral equations. Zbl 0441.65107Anselone, P. M.; Krabs, W. 4 1979 Uniformly convergent approximate solutions of Fredholm integral equations. Zbl 0229.65089Anselone, P. M.; Gonzalez-Fernandez, J. M. 4 1965 Discrete closure and asymptotic (quasi-) regularity in discretization algorithms. Zbl 0629.65062Anselone, P. M.; Ansorge, R. 3 1987 The approximate solution of monotone nonlinear operator equations. Zbl 0617.47039Anselone, P. M.; Lei, Jin-Gan 3 1986 Perturbations of outer inverses. Zbl 0476.47007Anselone, P. M.; Nashed, M. Z. 3 1980 Spectral properties of integral operators with nonnegative kernels. Zbl 0341.47033Anselone, Philip M.; Lee, John W. 3 1974 Perturbations of best approximation problems. Zbl 0264.65009Anselone, Philip M.; Davis, Joel 3 1973 Spectral approximations for Wiener-Hopf operators. Zbl 0706.45002Anselone, P. M.; Sloan, I. H. 2 1990 Regular operator approximation theory. Zbl 0575.41014Anselone, P. M.; Treuden, M. L. 2 1985 Convergence of the discrete ordinates method for the transport equation. Zbl 0297.45010Anselone, P. M.; Gibbs, A. G. 2 1974 The optimal exchange algorithm and comparisons with the generalized Remes algorithm. Zbl 0255.41027Anselone, P. M.; Taylor, G. D. 2 1973 Abstract Riemann integrals, monotone approximations, and generalizations of Korovkin’s theorem. Zbl 0217.16704Anselone, P. M. 2 1970 The atypical zeros of a class of entire functions. Zbl 0192.17102Anselone, P. M.; Boas, R. P. jun. 2 1964 Convergence of Chandrasekhar’s method for inhomogeneous transfer problems. Zbl 0121.23203Anselone, P. M. 2 1961 Nonlinear operator approximation theory based on demi-regular convergence. Zbl 0643.65027Anselone, P. M.; Lei, Jingan 1 1986 Recent advances in operator approximation theory. Zbl 0598.41024Anselone, P. M. 1 1986 Numerical integration of weakly singular functions. Zbl 0452.65011Anselone, P. M.; Opfer, G. 1 1979 Matrices of linear operators. Zbl 0117.09201Anselone, P. M. 1 1963 Convergence of Chandrasekhar’s method for the problem of diffuse reflection. Zbl 0093.22801Anselone, Philip M. 1 1960 Nonlinear integral equations on the half line. Zbl 0766.45001Anselone, P. M.; Lee, J. W. 13 1992 Spectral approximations for Wiener-Hopf operators. II. Zbl 0769.45001Anselone, P. M.; Sloan, I. H. 8 1992 Spectral approximations for Wiener-Hopf operators. Zbl 0706.45002Anselone, P. M.; Sloan, I. H. 2 1990 Numerical solutions of integral equations on the half line. II: The Wiener-Hopf case. Zbl 0662.65124Anselone, Philip M.; Sloan, Ian H. 9 1988 Error bounds for integral equations on the half line. Zbl 0675.65143Anselone, P. M.; Baker, C. T. H. 4 1988 Numerical solutions of integral equations on the half line. I: The compact case. Zbl 0613.65137Anselone, P. M.; Sloan, I. H. 10 1987 Discrete closure and asymptotic (quasi-) regularity in discretization algorithms. Zbl 0629.65062Anselone, P. M.; Ansorge, R. 3 1987 The approximate solution of monotone nonlinear operator equations. Zbl 0617.47039Anselone, P. M.; Lei, Jin-Gan 3 1986 Nonlinear operator approximation theory based on demi-regular convergence. Zbl 0643.65027Anselone, P. M.; Lei, Jingan 1 1986 Recent advances in operator approximation theory. Zbl 0598.41024Anselone, P. M. 1 1986 Integral equations on the half line. Zbl 0575.65137Anselone, P. M.; Sloan, Ian H. 27 1985 Regular operator approximation theory. Zbl 0575.41014Anselone, P. M.; Treuden, M. L. 2 1985 Singularity subtraction in the numerical solution of integral equations. Zbl 0477.65095Anselone, P. M. 19 1981 A unified framework for the discretization of nonlinear operator equations. Zbl 0484.65036Anselone, P. M.; Ansorge, Rainer 7 1981 Perturbations of outer inverses. Zbl 0476.47007Anselone, P. M.; Nashed, M. Z. 3 1980 Compactness principles in nonlinear operator approximation theory. Zbl 0466.65036Anselone, P. M.; Ansorge, Rainer 13 1979 Approximate solution of weakly singular integral equations. Zbl 0441.65107Anselone, P. M.; Krabs, W. 4 1979 Numerical integration of weakly singular functions. Zbl 0452.65011Anselone, P. M.; Opfer, G. 1 1979 Double approximation methods for the solution of Fredholm integral equations. Zbl 0336.65058Anselone, P. M.; Lee, J. W. 5 1976 Spectral properties of integral operators with nonnegative kernels. Zbl 0341.47033Anselone, Philip M.; Lee, John W. 3 1974 Convergence of the discrete ordinates method for the transport equation. Zbl 0297.45010Anselone, P. M.; Gibbs, A. G. 2 1974 Perturbations of best approximation problems. Zbl 0264.65009Anselone, Philip M.; Davis, Joel 3 1973 The optimal exchange algorithm and comparisons with the generalized Remes algorithm. Zbl 0255.41027Anselone, P. M.; Taylor, G. D. 2 1973 Collectively compact operator approximation theory and applications to integral equations. With an appendix by Joel Davis. Zbl 0228.47001Anselone, Philip M. 261 1971 Abstract Riemann integrals, monotone approximations, and generalizations of Korovkin’s theorem. Zbl 0217.16704Anselone, P. M. 2 1970 Compactness properties of sets of operators and their adjoints. Zbl 0176.11105Anselone, P. M. 5 1969 A general method for the construction of interpolating or smoothing spline-functions. Zbl 0197.13501Anselone, P. M.; Laurent, P. J. 66 1968 Spectral analysis of collectively compact, strongly convergent operator sequences. Zbl 0157.45203Anselone, P. M.; Palmer, T. W. 39 1968 The solution of characteristic value-vector problems by Newton’s method. Zbl 0162.46602Anselone, P. M.; Rall, L. B. 26 1968 Collectively compact sets of linear operators. Zbl 0157.45202Anselone, P. M.; Palmer, T. W. 19 1968 Collectively compact approximations of integral operators with discontinuous kernels. Zbl 0157.45201Anselone, P. M. 11 1968 Spectral properties of collectively compact sets of linear operators. Zbl 0157.45301Anselone, P. M.; Palmer, T. W. 6 1968 Collectively compact and totally bounded sets of linear operators. Zbl 0159.43003Anselone, P. M. 5 1968 Uniform approximation theory for integral equations with discontinuous kernels. Zbl 0183.18401Anselone, P. M. 12 1967 An extension of the Newton-Kantorovic method for solving nonlinear equations with an application to elasticity. Zbl 0144.15802Anselone, P. M.; Moore, R. H. 13 1966 Convergence and error bounds for approximate solutions of integral and operator equations. Zbl 0158.34102Anselone, P. M. 9 1965 Uniformly convergent approximate solutions of Fredholm integral equations. Zbl 0229.65089Anselone, P. M.; Gonzalez-Fernandez, J. M. 4 1965 Approximate solutions of integral and operator equations. Zbl 0149.11502Anselone, P. M.; Moore, R. H. 45 1964 Translation invariant subspaces of finite dimension. Zbl 0138.37903Anselone, P. M.; Korevaar, J. 14 1964 The atypical zeros of a class of entire functions. Zbl 0192.17102Anselone, P. M.; Boas, R. P. jun. 2 1964 On a class of linear difference-integral equations. Zbl 0121.08902Anselone, P. M.; Greenspan, D. 5 1963 Matrices of linear operators. Zbl 0117.09201Anselone, P. M. 1 1963 On a difference-integral equation. Zbl 0149.33202Anselone, P. M.; Bueckner, H. F. 5 1962 Convergence of Chandrasekhar’s method for inhomogeneous transfer problems. Zbl 0121.23203Anselone, P. M. 2 1961 Ergodic theory for discrete semi-Markov chains. Zbl 0104.37001Anselone, P. M. 11 1960 Convergence of Chandrasekhar’s method for the problem of diffuse reflection. Zbl 0093.22801Anselone, Philip M. 1 1960 all cited Publications top 5 cited Publications 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) Citations by Year