Philip W. Smith - Author Profile

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Smith, Philip W.

Author ID:	smith.philip-w
Published as:	Smith, P. W.; Smith, Philip W.; Smith, Philip more...less
External Links:	MGP

Documents Indexed:	109 Publications since 1973, including 1 Book and 1 Additional arXiv Preprint
Co-Authors:	40 Co-Authors with 86 Joint Publications
	1,001 Co-Co-Authors

all top 5

Co-Authors

9	single-authored
37	Chui, Charles Kam-tai
31	Ward, Joseph Dinneen
6	Barrow, David L.
6	Micchelli, Charles A.
4	Dahmen, Wolfgang A.
4	Eubank, Randall L.
4	Moss, William F.
4	Narcowich, Francis J.
4	Rozema, Edward R.
4	Sharma, Ambikeshwar
4	Smith, Patricia L.
4	Twizell, E. H.
3	Allen, G. Donald
3	Madych, Wolodymyr R.
3	Riemenschneider, Sherman D.
3	Seshaiyer, Padmanabhan
2	Borosh, Itshak
2	Cavaretta, Alfred S. jun.
2	Cooke, Charlie H.
2	Franklin, Scott R.
2	Marin, Samuel P.
2	Shisha, Oved
2	Swetits, John J.
2	Wolkowicz, Henry
1	Andrews, Kevin T.
1	Buechler, G.
1	Demko, Stephen G.
1	Edelsbrunner, Herbert
1	Gates, Charles E.
1	Heiss, Teresa
1	Hrncir, Stanley
1	Irvine, Larry D.
1	Kurlin, Vitaliy
1	Larsen, Russell D.
1	Lee, Seng Luan
1	Legg, David A.
1	Luecke, Glenn R.
1	Martin, Clyde Franklin
1	Pence, Dennis D.
1	Rahman, Qazi Ibadur
1	Sahney, Badri Narayan
1	Saunders, Bonita V.
1	Scherer, Karl
1	Smith, Roger R.
1	Spiriti, Steven
1	Sritharan, Sivaguru S.
1	Voges, P.
1	Wang, Ping
1	Wintraecken, Mathijs Hubertus Maria Johannes
1	Yun, Jae Heon

all top 5

Serials

12	Journal of Approximation Theory
6	Proceedings of the American Mathematical Society
6	SIAM Journal on Mathematical Analysis
5	Applied Mathematical Modelling
3	Mathematics of Computation
3	Mathematische Zeitschrift
3	Transactions of the American Mathematical Society
3	Constructive Approximation
2	American Mathematical Monthly
2	Bulletin of the Australian Mathematical Society
2	Journal of Mathematical Analysis and Applications
2	The Annals of Statistics
2	Illinois Journal of Mathematics
2	Numerische Mathematik
2	Approximation Theory and its Applications
2	Linear Algebra and its Applications
2	Bulletin of the American Mathematical Society
1	Acta Mathematica Academiae Scientiarum Hungaricae
1	Computers and Chemistry
1	Journal of Computational Physics
1	Journal of the Franklin Institute
1	Mathematical Proceedings of the Cambridge Philosophical Society
1	Rocky Mountain Journal of Mathematics
1	Applied Mathematics and Computation
1	Biometrics
1	IEEE Transactions on Automatic Control
1	Mathematical Programming
1	Michigan Mathematical Journal
1	Numerical Functional Analysis and Optimization
1	Pacific Journal of Mathematics
1	Quarterly of Applied Mathematics
1	SIAM Journal on Numerical Analysis
1	SIAM Journal on Scientific and Statistical Computing
1	Complex Variables. Theory and Application
1	Stochastic Analysis and Applications
1	Computer Aided Geometric Design
1	IMA Journal of Mathematics Applied in Medicine and Biology
1	Numerical Methods for Partial Differential Equations
1	The Journal of Supercomputing
1	Communications in Statistics. Theory and Methods
1	Journal of Statistical Computation and Simulation
1	Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1	Journal of Approximation Theory and its Applications
1	International Journal of Mathematics and Computer Science
1	Journal of Physics A: Mathematical and Theoretical

all top 5

Fields

64	Approximations and expansions (41-XX)
26	Numerical analysis (65-XX)
12	Operator theory (47-XX)
9	Functions of a complex variable (30-XX)
8	Linear and multilinear algebra; matrix theory (15-XX)
7	Computer science (68-XX)
6	Partial differential equations (35-XX)
6	Functional analysis (46-XX)
6	Statistics (62-XX)
4	Harmonic analysis on Euclidean spaces (42-XX)
4	Biology and other natural sciences (92-XX)
3	Systems theory; control (93-XX)
2	Real functions (26-XX)
2	Geometry (51-XX)
2	Probability theory and stochastic processes (60-XX)
2	Fluid mechanics (76-XX)
2	Operations research, mathematical programming (90-XX)
1	Integral transforms, operational calculus (44-XX)
1	Calculus of variations and optimal control; optimization (49-XX)
1	Convex and discrete geometry (52-XX)
1	Mechanics of deformable solids (74-XX)
1	Statistical mechanics, structure of matter (82-XX)
1	Information and communication theory, circuits (94-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

80 Publications have been cited 537 times in 452 Documents	Cited by ▼	Year ▼
Decay rates for inverses of band matrices. Zbl 0568.15003 Demko, Stephen; Moss, William F.; Smith, Philip W.	121	1984
Solution of Burgers’ equation with a large Reynolds number. Zbl 0496.76029 Caldwell, J.; Smith, P.	42	1982
Constrained \(L_ p\) approximation. Zbl 0582.41002 Micchelli, C. A.; Smith, P. W.; Swetits, J.; Ward, J. D.	39	1985
Constrained interpolation and smoothing. Zbl 0596.41012 Irvine, Larry D.; Marin, Samuel P.; Smith, Philip W.	33	1986
Asymptotic properties of best \(L_2(0,1)\) approximation by splines with variable knots. Zbl 0395.41012 Barrow, D. L.; Smith, P. W.	25	1978
Best local approximation. Zbl 0314.41016 Chui, Charles K.; Shisha, O.; Smith, Philip W.	17	1975
Spline notation applied to a volume problem. Zbl 0411.51013 Barrow, D. L.; Smith, P. W.	16	1979
Global approximation with bounded coefficients. Zbl 0317.41031 Rozema, Edward R.; Smith, Philip W.	15	1976
Restricted centers in C(\(\Omega\)). Zbl 0296.41022 Smith, Philip W.; Ward, J. D.	14	1975
Knot selection for least-squares and penalized splines. Zbl 1431.62021 Spiriti, Steven; Eubank, Randall; Smith, Philip W.; Young, Dennis	14	2013
An improvement theorem for Descartes systems. Zbl 0404.41002 Smith, Philip W.	13	1978
A note on Landau’s problem for bounded intervals. Zbl 0321.26005 Chui, Charles K.; Smith, Philip W.	12	1975
A factorization theorem for banded matrices. Zbl 0467.15005 Cavaretta, A. S. jun.; Dahmen, W. A.; Micchelli, C. A.; Smith, P. W.	11	1981
Lower bounds for confidence coefficients for confidence intervals for finite population quantiles. Zbl 0525.62013 Smith, Philip; Sedransk, J.	11	1983
Restricted centers in subalgebras of C(X). Zbl 0312.41016 Smith, Philip W.; Ward, Joseph D.	10	1975
On the solvability of certain systems of linear difference equations. Zbl 0482.15011 Cavaretta, A. S. jun.; Dahmen, W.; Micchelli, C. A.; Smith, P. W.	10	1981
Padé approximation of Stieltjes series. Zbl 0323.30044 Allen, G. D.; Chui, C. K.; Madych, W. R.; Narcowich, F. J.; Smith, P. W.	10	1975
Best \(L_2\) local approximation. Zbl 0383.41020 Chui, C. K.; Smith, P. W.; Ward, J. D.	9	1978
Padé approximants as limits of best rational approximants. Zbl 0288.41007 Chui, Charles K.; Shisha, Oved; Smith, Philip W.	9	1974
Degree of \(L_ p\) approximation by monotone splines. Zbl 0456.41013 Chui, C. K.; Smith, P. W.; Ward, J. D.	8	1980
A note on optimal and asymptotically optimal designs for certain time series models. Zbl 0522.62055 Eubank, R. L.; Smith, P. L.; Smith, P. W.	8	1982
A branching algorithm for discriminating and tracking multiple objects. Zbl 0298.93019 Smith, P.; Buechler, G.	8	1975
Best approximation by monotone functions. Zbl 0626.41015 Smith, P. W.; Swetits, J. J.	8	1987
Unicity of best mean approximation by second order splines with variable knots. Zbl 0393.41013 Barrow, D. L.; Chui, C. K.; Smith, P. W.; Ward, J. D.	7	1978
Cholesky factorization of positive definite bi-infinite matrices. Zbl 0503.15006 Chui, C. K.; Ward, J. D.; Smith, P. W.	7	1982
Uniqueness and eventual uniqueness of optimal designs in some time series models. Zbl 0511.62086 Eubank, R. L.; Smith, Patricia L.; Smith, Philip W.	7	1981
On approximation of \(x^N\) by incomplete polynomials. Zbl 0423.41003 Borosh, I.; Chui, C. K.; Smith, P. W.	6	1978
A nonlinear equation for linear programming. Zbl 0593.90049 Smith, P. W.; Wolkowicz, H.	6	1986
Favard’s solution is the limit of \(W^{k,p}\)-splines. Zbl 0337.41012 Chui, C. K.; Smith, P. W.; Ward, J. D.	6	1976
Best uniform approximation from a collection of subspaces. Zbl 0366.41012 Borosh, Itshak; Chui, Charles K.; Smith, Philip W.	6	1977
Wsup(r,p)(R)-splines. Zbl 0274.41012 Smith, Philip W.	4	1974
Approximation with restricted spectra. Zbl 0295.47028 Chui, Charles K.; Smith, Philip W.; Ward, Joseph D.	4	1975
L-ideals and numerical range preservation. Zbl 0343.46040 Chui, C. K.; Smith, P. W.; Smith, R. R.; Ward, J. D.	4	1977
A non-conforming finite element method for sub-meshing. Zbl 1033.65106 Seshaiyer, Padmanabhan; Smith, Philip	4	2003
Quasi-interpolants from spline interpolation operators. Zbl 0683.41009 Smith, P. W.; Ward, J. D.	3	1990
Parametric approximation of data using ODR splines. Zbl 0804.65017 Marin, Samuel P.; Smith, Philip W.	3	1994
A transient model of thermoregulation in a clothed human. Zbl 0549.92006 Smith, P.; Twizell, E. H.	3	1984
On \(H^{m,\infty}\)-splines. Zbl 0255.65007 Chui, Charles K.; Smith, Philip W.	3	1974
H\(^{r, \infty}\)(R)- and W\(^{r, \infty}\)(R)-splines. Zbl 0291.41011 Smith, Philip W.	3	1974
Lacunary trigonometric interpolation: convergence. Zbl 0478.42001 Riemenschneider, S. D.; Sharma, A.; Smith, P. W.	3	1980
Padé approximation and orthogonal polynomials. Zbl 0279.41014 Allen, G. D.; Chui, C. K.; Madych, W. R.; Narcowich, F. J.; Smith, P. W.	3	1974
Padé approximation and Gaussian quadrature. Zbl 0281.41008 Allen, G. D.; Chui, C. K.; Madych, W. R.; Narcowich, F. J.; Smith, P. W.	3	1974
On the smoothness of best Lsub(2) approximants from nonlinear spline manifolds. Zbl 0355.41028 Chui, Charles K.; Smith, Philip W.; Ward, Joseph D.	3	1977
On a question of Olsen concerning compact perturbations of operators. Zbl 0375.47009 Chui, C. K.; Legg, D. A.; Smith, P. W.; Ward, J. D.	3	1977
Theory of harmonic grid generation. Zbl 0607.30042 Smith, Philip W.; Sritharan, S. S.	3	1988
Polynomial interpolation on roots of unity with applications. Zbl 0489.41005 Sharma, A.; Smith, P. W.	3	1981
Existence of best parametric interpolation by curves. Zbl 0675.41009 Scherer, K.; Smith, P. W.	3	1989
An application of spline approximation with variable knots to optimal estimation of the derivative. Zbl 0438.41011 Chui, Charles K.; Smith, Philip W.	2	1980
A finite element model of temperature distribution in the human torso. Zbl 0429.92010 Smith, P.; Twizell, E. H.	2	1980
Efficient \(L_2\) approximation by splines. Zbl 0442.41015 Barrow, D. L.; Smith, P. W.	2	1979
Empirical stopping rules for data fitting by splines. Zbl 0448.65007 Smith, Patricia L.; Smith, Philip W.	2	1979
Grid generation and optimization using tensor product B-splines. Zbl 0714.41019 Saunders, B. V.; Smith, P. W.	2	1987
Preferred NBV-splines. Zbl 0337.41013 Chui, C. K.; Smith, P. W.; Ward, J. D.	2	1976
Nonlinear approximation in uniformly smooth Banach spaces. Zbl 0251.41018 Rozema, Edward R.; Smith, Philip W.	2	1974
Some nonlinear spline approximation problems related to N-widths. Zbl 0296.41018 Chui, Charles K.; Smith, Philip W.	2	1975
Limits of \(H^{k,p}\)-splines. Zbl 0302.41008 Chui, C. K.; Smith, P. W.; Ward, J. D.	2	1975
Metric curvature, folding, and unique best approximation. Zbl 0326.41021 Chui, C. K.; Rozema, E. R.; Smith, P. W.; Ward, J. D.	2	1976
On factorization of biinfinite totally positive block Toeplitz matrices. Zbl 0612.47026 Dahmen, Wolfgang; Micchelli, Charles A.; Smith, P. W.	2	1986
LU-factorization of operators on \(\ell _ 1\). Zbl 0615.47017 Andrews, Kevin T.; Smith, Philip W.; Ward, Joseph D.	2	1986
Asymptotic properties of best \(L_p[0,1]\) approximation by splines. Zbl 0491.41010 Pence, Dennis D.; Smith, P. W.	2	1982
On the computation of optimal designs for certain time series models with applications to optimal quantile selection for location or scale parameter estimation. Zbl 0503.62072 Eubank, Randall L.; Smith, Patricia L.; Smith, Philip W.	2	1982
Distinguished solutions to an \(L_{\infty}\) minimization problem. Zbl 0699.41011 Smith, P. W.; Ward, J. D.	1	1988
A three-field finite element method for elliptic partial differential equations driven by stochastic loads. Zbl 1084.35126 Franklin, Scott R.; Seshaiyer, Padmanabhan; Smith, Philip W.	1	2005
A computational methodology to study coupled physical processes over partitioned domains. Zbl 1144.65074 Franklin, Scott R.; Seshaiyer, Padmanabhan; Smith, Philip W.	1	2007
Dimensionality of biinfinite systems. Zbl 0527.15004 Smith, P. W.; Wolkowicz, Henry	1	1984
The extrapolation of Padé approximants in the closed-loop simulation of human thermoregulation. Zbl 0529.92004 Smith, P.; Twizell, E. H.	1	1982
Characterization of a function by certain infinite series it generates. Zbl 0291.30004 Chui, Charles K.; Smith, Philip W.	1	1974
Unique best nonlinear approximation in Hilbert spaces. Zbl 0299.41020 Chui, Charles K.; Smith, Philip W.	1	1975
Some properties of periodic B-spline collocation matrices. Zbl 0537.41005 Lee, S. L.; Micchelli, C. A.; Sharma, A.; Smith, P. W.	1	1983
Simultaneous spline approximation and interpolation preserving norms. Zbl 0317.41008 Chui, C. K.; Rozema, E. R.; Smith, P. W.; Ward, J. D.	1	1976
A note on Riesz operators. Zbl 0355.47008 Chui, C. K.; Smith, P. W.; Ward, J. D.	1	1977
Unicity of best \(L_2\) approximation by second-order splines with variable knots. Zbl 0372.41007 Barrow, D. L.; Chui, C. K.; Smith, P. W.; Ward, J. D.	1	1977
Eigenvalue localization for the Tikhonova model of crystal growth. Zbl 0521.30004 Cooke, Charlie H.; Smith, Philip W.	1	1983
Asymptotically optimal sampling schemes for periodic functions. Zbl 0587.41014 Dahmen, W.; Micchelli, C. A.; Smith, P. W.	1	1986
Computer simulation results for the two-point probability function of composite media. Zbl 0642.76112 Smith, P.; Torquato, S.	1	1988
Binary bases of spaces of continuous functions. Zbl 1058.41004 Martin, Clyde; Smith, Philip W.	1	2003
Factorization of diagonally dominant operators on \(\ell _ 1\). Zbl 0615.47016 Smith, P. W.; Ward, J. D.	1	1985
Convergence of lacunary trigonometric interpolation on equidistant nodes. Zbl 0493.42007 Riemenschneider, S.; Sharma, A.; Smith, P. W.	1	1982
Compression and factorization of diagonally dominant matrices. Zbl 0571.47014 Smith, P. W.; Ward, J. D.	1	1983
Generalized eigenvalue approximation for band matrices. Zbl 0596.41047 Moss, William F.; Smith, Philip W.	1	1985
Knot selection for least-squares and penalized splines. Zbl 1431.62021 Spiriti, Steven; Eubank, Randall; Smith, Philip W.; Young, Dennis	14	2013
A computational methodology to study coupled physical processes over partitioned domains. Zbl 1144.65074 Franklin, Scott R.; Seshaiyer, Padmanabhan; Smith, Philip W.	1	2007
A three-field finite element method for elliptic partial differential equations driven by stochastic loads. Zbl 1084.35126 Franklin, Scott R.; Seshaiyer, Padmanabhan; Smith, Philip W.	1	2005
A non-conforming finite element method for sub-meshing. Zbl 1033.65106 Seshaiyer, Padmanabhan; Smith, Philip	4	2003
Binary bases of spaces of continuous functions. Zbl 1058.41004 Martin, Clyde; Smith, Philip W.	1	2003
Parametric approximation of data using ODR splines. Zbl 0804.65017 Marin, Samuel P.; Smith, Philip W.	3	1994
Quasi-interpolants from spline interpolation operators. Zbl 0683.41009 Smith, P. W.; Ward, J. D.	3	1990
Existence of best parametric interpolation by curves. Zbl 0675.41009 Scherer, K.; Smith, P. W.	3	1989
Theory of harmonic grid generation. Zbl 0607.30042 Smith, Philip W.; Sritharan, S. S.	3	1988
Distinguished solutions to an \(L_{\infty}\) minimization problem. Zbl 0699.41011 Smith, P. W.; Ward, J. D.	1	1988
Computer simulation results for the two-point probability function of composite media. Zbl 0642.76112 Smith, P.; Torquato, S.	1	1988
Best approximation by monotone functions. Zbl 0626.41015 Smith, P. W.; Swetits, J. J.	8	1987
Grid generation and optimization using tensor product B-splines. Zbl 0714.41019 Saunders, B. V.; Smith, P. W.	2	1987
Constrained interpolation and smoothing. Zbl 0596.41012 Irvine, Larry D.; Marin, Samuel P.; Smith, Philip W.	33	1986
A nonlinear equation for linear programming. Zbl 0593.90049 Smith, P. W.; Wolkowicz, H.	6	1986
On factorization of biinfinite totally positive block Toeplitz matrices. Zbl 0612.47026 Dahmen, Wolfgang; Micchelli, Charles A.; Smith, P. W.	2	1986
LU-factorization of operators on \(\ell _ 1\). Zbl 0615.47017 Andrews, Kevin T.; Smith, Philip W.; Ward, Joseph D.	2	1986
Asymptotically optimal sampling schemes for periodic functions. Zbl 0587.41014 Dahmen, W.; Micchelli, C. A.; Smith, P. W.	1	1986
Constrained \(L_ p\) approximation. Zbl 0582.41002 Micchelli, C. A.; Smith, P. W.; Swetits, J.; Ward, J. D.	39	1985
Factorization of diagonally dominant operators on \(\ell _ 1\). Zbl 0615.47016 Smith, P. W.; Ward, J. D.	1	1985
Generalized eigenvalue approximation for band matrices. Zbl 0596.41047 Moss, William F.; Smith, Philip W.	1	1985
Decay rates for inverses of band matrices. Zbl 0568.15003 Demko, Stephen; Moss, William F.; Smith, Philip W.	121	1984
A transient model of thermoregulation in a clothed human. Zbl 0549.92006 Smith, P.; Twizell, E. H.	3	1984
Dimensionality of biinfinite systems. Zbl 0527.15004 Smith, P. W.; Wolkowicz, Henry	1	1984
Lower bounds for confidence coefficients for confidence intervals for finite population quantiles. Zbl 0525.62013 Smith, Philip; Sedransk, J.	11	1983
Some properties of periodic B-spline collocation matrices. Zbl 0537.41005 Lee, S. L.; Micchelli, C. A.; Sharma, A.; Smith, P. W.	1	1983
Eigenvalue localization for the Tikhonova model of crystal growth. Zbl 0521.30004 Cooke, Charlie H.; Smith, Philip W.	1	1983
Compression and factorization of diagonally dominant matrices. Zbl 0571.47014 Smith, P. W.; Ward, J. D.	1	1983
Solution of Burgers’ equation with a large Reynolds number. Zbl 0496.76029 Caldwell, J.; Smith, P.	42	1982
A note on optimal and asymptotically optimal designs for certain time series models. Zbl 0522.62055 Eubank, R. L.; Smith, P. L.; Smith, P. W.	8	1982
Cholesky factorization of positive definite bi-infinite matrices. Zbl 0503.15006 Chui, C. K.; Ward, J. D.; Smith, P. W.	7	1982
Asymptotic properties of best \(L_p[0,1]\) approximation by splines. Zbl 0491.41010 Pence, Dennis D.; Smith, P. W.	2	1982
On the computation of optimal designs for certain time series models with applications to optimal quantile selection for location or scale parameter estimation. Zbl 0503.62072 Eubank, Randall L.; Smith, Patricia L.; Smith, Philip W.	2	1982
The extrapolation of Padé approximants in the closed-loop simulation of human thermoregulation. Zbl 0529.92004 Smith, P.; Twizell, E. H.	1	1982
Convergence of lacunary trigonometric interpolation on equidistant nodes. Zbl 0493.42007 Riemenschneider, S.; Sharma, A.; Smith, P. W.	1	1982
A factorization theorem for banded matrices. Zbl 0467.15005 Cavaretta, A. S. jun.; Dahmen, W. A.; Micchelli, C. A.; Smith, P. W.	11	1981
On the solvability of certain systems of linear difference equations. Zbl 0482.15011 Cavaretta, A. S. jun.; Dahmen, W.; Micchelli, C. A.; Smith, P. W.	10	1981
Uniqueness and eventual uniqueness of optimal designs in some time series models. Zbl 0511.62086 Eubank, R. L.; Smith, Patricia L.; Smith, Philip W.	7	1981
Polynomial interpolation on roots of unity with applications. Zbl 0489.41005 Sharma, A.; Smith, P. W.	3	1981
Degree of \(L_ p\) approximation by monotone splines. Zbl 0456.41013 Chui, C. K.; Smith, P. W.; Ward, J. D.	8	1980
Lacunary trigonometric interpolation: convergence. Zbl 0478.42001 Riemenschneider, S. D.; Sharma, A.; Smith, P. W.	3	1980
An application of spline approximation with variable knots to optimal estimation of the derivative. Zbl 0438.41011 Chui, Charles K.; Smith, Philip W.	2	1980
A finite element model of temperature distribution in the human torso. Zbl 0429.92010 Smith, P.; Twizell, E. H.	2	1980
Spline notation applied to a volume problem. Zbl 0411.51013 Barrow, D. L.; Smith, P. W.	16	1979
Efficient \(L_2\) approximation by splines. Zbl 0442.41015 Barrow, D. L.; Smith, P. W.	2	1979
Empirical stopping rules for data fitting by splines. Zbl 0448.65007 Smith, Patricia L.; Smith, Philip W.	2	1979
Asymptotic properties of best \(L_2(0,1)\) approximation by splines with variable knots. Zbl 0395.41012 Barrow, D. L.; Smith, P. W.	25	1978
An improvement theorem for Descartes systems. Zbl 0404.41002 Smith, Philip W.	13	1978
Best \(L_2\) local approximation. Zbl 0383.41020 Chui, C. K.; Smith, P. W.; Ward, J. D.	9	1978
Unicity of best mean approximation by second order splines with variable knots. Zbl 0393.41013 Barrow, D. L.; Chui, C. K.; Smith, P. W.; Ward, J. D.	7	1978
On approximation of \(x^N\) by incomplete polynomials. Zbl 0423.41003 Borosh, I.; Chui, C. K.; Smith, P. W.	6	1978
Best uniform approximation from a collection of subspaces. Zbl 0366.41012 Borosh, Itshak; Chui, Charles K.; Smith, Philip W.	6	1977
L-ideals and numerical range preservation. Zbl 0343.46040 Chui, C. K.; Smith, P. W.; Smith, R. R.; Ward, J. D.	4	1977
On the smoothness of best Lsub(2) approximants from nonlinear spline manifolds. Zbl 0355.41028 Chui, Charles K.; Smith, Philip W.; Ward, Joseph D.	3	1977
On a question of Olsen concerning compact perturbations of operators. Zbl 0375.47009 Chui, C. K.; Legg, D. A.; Smith, P. W.; Ward, J. D.	3	1977
A note on Riesz operators. Zbl 0355.47008 Chui, C. K.; Smith, P. W.; Ward, J. D.	1	1977
Unicity of best \(L_2\) approximation by second-order splines with variable knots. Zbl 0372.41007 Barrow, D. L.; Chui, C. K.; Smith, P. W.; Ward, J. D.	1	1977
Global approximation with bounded coefficients. Zbl 0317.41031 Rozema, Edward R.; Smith, Philip W.	15	1976
Favard’s solution is the limit of \(W^{k,p}\)-splines. Zbl 0337.41012 Chui, C. K.; Smith, P. W.; Ward, J. D.	6	1976
Preferred NBV-splines. Zbl 0337.41013 Chui, C. K.; Smith, P. W.; Ward, J. D.	2	1976
Metric curvature, folding, and unique best approximation. Zbl 0326.41021 Chui, C. K.; Rozema, E. R.; Smith, P. W.; Ward, J. D.	2	1976
Simultaneous spline approximation and interpolation preserving norms. Zbl 0317.41008 Chui, C. K.; Rozema, E. R.; Smith, P. W.; Ward, J. D.	1	1976
Best local approximation. Zbl 0314.41016 Chui, Charles K.; Shisha, O.; Smith, Philip W.	17	1975
Restricted centers in C(\(\Omega\)). Zbl 0296.41022 Smith, Philip W.; Ward, J. D.	14	1975
A note on Landau’s problem for bounded intervals. Zbl 0321.26005 Chui, Charles K.; Smith, Philip W.	12	1975
Restricted centers in subalgebras of C(X). Zbl 0312.41016 Smith, Philip W.; Ward, Joseph D.	10	1975
Padé approximation of Stieltjes series. Zbl 0323.30044 Allen, G. D.; Chui, C. K.; Madych, W. R.; Narcowich, F. J.; Smith, P. W.	10	1975
A branching algorithm for discriminating and tracking multiple objects. Zbl 0298.93019 Smith, P.; Buechler, G.	8	1975
Approximation with restricted spectra. Zbl 0295.47028 Chui, Charles K.; Smith, Philip W.; Ward, Joseph D.	4	1975
Some nonlinear spline approximation problems related to N-widths. Zbl 0296.41018 Chui, Charles K.; Smith, Philip W.	2	1975
Limits of \(H^{k,p}\)-splines. Zbl 0302.41008 Chui, C. K.; Smith, P. W.; Ward, J. D.	2	1975
Unique best nonlinear approximation in Hilbert spaces. Zbl 0299.41020 Chui, Charles K.; Smith, Philip W.	1	1975
Padé approximants as limits of best rational approximants. Zbl 0288.41007 Chui, Charles K.; Shisha, Oved; Smith, Philip W.	9	1974
Wsup(r,p)(R)-splines. Zbl 0274.41012 Smith, Philip W.	4	1974
On \(H^{m,\infty}\)-splines. Zbl 0255.65007 Chui, Charles K.; Smith, Philip W.	3	1974
H\(^{r, \infty}\)(R)- and W\(^{r, \infty}\)(R)-splines. Zbl 0291.41011 Smith, Philip W.	3	1974
Padé approximation and orthogonal polynomials. Zbl 0279.41014 Allen, G. D.; Chui, C. K.; Madych, W. R.; Narcowich, F. J.; Smith, P. W.	3	1974
Padé approximation and Gaussian quadrature. Zbl 0281.41008 Allen, G. D.; Chui, C. K.; Madych, W. R.; Narcowich, F. J.; Smith, P. W.	3	1974
Nonlinear approximation in uniformly smooth Banach spaces. Zbl 0251.41018 Rozema, Edward R.; Smith, Philip W.	2	1974
Characterization of a function by certain infinite series it generates. Zbl 0291.30004 Chui, Charles K.; Smith, Philip W.	1	1974

all cited Publications top 5 cited Publications

all top 5

Cited by 578 Authors

20	Smith, Philip W.
19	Ward, Joseph Dinneen
16	Chui, Charles Kam-tai
10	Levis, Fabián Eduardo
8	Cuenya, Héctor Hugo
8	Erdélyi, Tamás
7	Yoshida, Takuma
6	Benzi, Michele
6	Micchelli, Charles A.
6	Sharma, Ambikeshwar
6	Simoncini, Valeria
6	Swetits, John J.
6	Xu, Yuesheng
5	Deutsch, Frank
5	Qi, Liqun
5	Schweitzer, Marcel
5	Weinstein, Stanley E.
4	Amir, Dan
4	Axelsson, Axel Owe Holger
4	Bertaccini, Daniele
4	Borwein, Jonathan Michael
4	de Boor, Carl
4	Franchetti, Carlo
4	Gröchenig, Karlheinz
4	Lewis, Adrian S.
4	Li, Chong
4	Mach, Jaroslav
4	Rodriguez, Claudia N.
4	Wolkowicz, Henry
4	Ziegler, Zvi
3	Barrow, David L.
3	Baskakov, Anatoliĭ Grigor’evich
3	Beckermann, Bernhard
3	Boito, Paola
3	Borwein, Peter Benjamin
3	Boyanov, Borislav Dechev
3	Dontchev, Asen L.
3	Durastante, Fabio
3	Ferreyra, David Eduardo
3	Frommer, Andreas
3	Goodman, Timothy N. T.
3	Han, Xuli
3	Jetter, Kurt
3	Klotz, Andreas
3	Lee, Jaeyong
3	Pai, Devidas V.
3	Pinkus, Allan M.
3	Pournin, Lionel
3	Ridolfi, Claudia V.
3	Sameh, Ahmed H.
3	Schimmel, Claudia
3	Schmidt, Jochen Wilhelm
3	Seshaiyer, Padmanabhan
3	Skorokhodov, Dmytro S.
3	Strohmer, Thomas
3	Turlach, Berwin A.
3	Utreras, Florencio I.
3	Vassilevski, Panayot Spirov
3	Yin, Hongxia
2	Abatzoglou, Theagenis J.
2	Allen, G. Donald
2	Andersson, Lars-Erik
2	Anitescu, Mihai
2	Baishanski, Bogdan M.
2	Benhenni, Karim
2	Bezrodnykh, Sergeĭ I.
2	Bouldin, Richard
2	Chan, Tony Fan-Cheong
2	Cho, Yunhi
2	Daptari, Soumitra
2	Derevyagin, Maxim S.
2	Ding, Xiucai
2	Dyn, Nira
2	Eijkhout, Victor L.
2	Elfving, Tommy
2	Foster, Leslie V.
2	Franklin, Scott R.
2	Fryzlewicz, Piotr
2	Gould, Nicholas Ian Mark
2	Grohs, Philipp
2	Gutknecht, Martin H.
2	Haber, Aleksandar
2	Hackmann, Daniel
2	Haynes, Ronald D.
2	Huang, Ting-Zhu
2	Jeyakumar, Vaithilingam
2	Kennedy, Shannon C.
2	Kolmanovsky, Ilya V.
2	Kressner, Daniel
2	Kuznetsov, Alexey
2	Lange, Gerald
2	Lee, Seng Luan
2	Lee, Youngseon
2	Legg, David A.
2	Li, Wu
2	Lin, Lin
2	Ling, Chen
2	Lorenzo, M. D.
2	Massei, Stefano
2	Nabben, Reinhard
...and 478 more Authors

all top 5

Cited in 166 Serials

73	Journal of Approximation Theory
24	Linear Algebra and its Applications
17	Numerical Functional Analysis and Optimization
14	Journal of Computational and Applied Mathematics
9	Proceedings of the American Mathematical Society
8	The Annals of Statistics
8	Numerische Mathematik
8	Constructive Approximation
7	Journal of Mathematical Analysis and Applications
7	Mathematics of Computation
7	BIT
7	Journal of Optimization Theory and Applications
6	Applied and Computational Harmonic Analysis
5	Computers & Mathematics with Applications
5	Computer Methods in Applied Mechanics and Engineering
5	Computer Aided Geometric Design
5	SIAM Journal on Matrix Analysis and Applications
5	Numerical Algorithms
5	Mathematical Programming. Series A. Series B
4	Applied Mathematics and Computation
4	Transactions of the American Mathematical Society
4	Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4	ETNA. Electronic Transactions on Numerical Analysis
4	The Journal of Fourier Analysis and Applications
3	Communications in Mathematical Physics
3	Journal d’Analyse Mathématique
3	Ukrainian Mathematical Journal
3	Calcolo
3	Computing
3	Mathematische Zeitschrift
3	Applied Numerical Mathematics
3	Acta Mathematicae Applicatae Sinica. English Series
3	Communications in Statistics. Theory and Methods
3	Computational Statistics and Data Analysis
3	Computational Optimization and Applications
3	SIAM Journal on Scientific Computing
3	Statistical Papers
3	Numerical Linear Algebra with Applications
3	Electronic Journal of Statistics
2	Journal of Computational Physics
2	Linear and Multilinear Algebra
2	Mathematical Notes
2	Advances in Mathematics
2	Automatica
2	Biometrics
2	Journal of Functional Analysis
2	Journal of Multivariate Analysis
2	Journal of Statistical Planning and Inference
2	Mathematische Annalen
2	Mathematische Nachrichten
2	Mathematical Programming
2	SIAM Journal on Control and Optimization
2	Siberian Mathematical Journal
2	Statistics & Probability Letters
2	Statistics
2	Science in China. Series A
2	The Annals of Applied Probability
2	Computational Statistics
2	Communications in Statistics. Simulation and Computation
2	Stochastic Processes and their Applications
2	SIAM Journal on Optimization
2	Statistica Sinica
2	Advances in Computational Mathematics
2	Journal of Nonparametric Statistics
2	Optimization Methods & Software
2	Multiscale Modeling & Simulation
2	Bulletin of the American Mathematical Society
2	The Annals of Applied Statistics
1	Advances in Applied Probability
1	Analysis Mathematica
1	Computers and Fluids
1	Computer Physics Communications
1	Discrete Applied Mathematics
1	Information Processing Letters
1	Israel Journal of Mathematics
1	Journal of Fluid Mechanics
1	Journal of the Franklin Institute
1	Metrika
1	Periodica Mathematica Hungarica
1	Russian Mathematical Surveys
1	Studia Mathematica
1	Arkiv för Matematik
1	Annals of the Institute of Statistical Mathematics
1	Collectanea Mathematica
1	Functional Analysis and its Applications
1	Glasgow Mathematical Journal
1	International Journal of Mathematics and Mathematical Sciences
1	Integral Equations and Operator Theory
1	International Journal for Numerical Methods in Engineering
1	Journal of the American Statistical Association
1	Journal of Econometrics
1	Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1	Proceedings of the Edinburgh Mathematical Society. Series II
1	Real Analysis Exchange
1	Rendiconti del Circolo Matemàtico di Palermo. Serie II
1	Rendiconti del Seminario Matemàtico e Fisico di Milano
1	Revista de la Unión Matemática Argentina
1	SIAM Journal on Numerical Analysis
1	Statistica Neerlandica
1	Optimal Control Applications & Methods
...and 66 more Serials

all top 5

Cited in 40 Fields

192	Approximations and expansions (41-XX)
137	Numerical analysis (65-XX)
68	Statistics (62-XX)
56	Linear and multilinear algebra; matrix theory (15-XX)
39	Functional analysis (46-XX)
35	Operations research, mathematical programming (90-XX)
33	Operator theory (47-XX)
21	Partial differential equations (35-XX)
20	Harmonic analysis on Euclidean spaces (42-XX)
14	Functions of a complex variable (30-XX)
13	Computer science (68-XX)
12	Probability theory and stochastic processes (60-XX)
11	Real functions (26-XX)
11	Convex and discrete geometry (52-XX)
11	Systems theory; control (93-XX)
9	Combinatorics (05-XX)
8	Calculus of variations and optimal control; optimization (49-XX)
7	Information and communication theory, circuits (94-XX)
6	Mechanics of deformable solids (74-XX)
6	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4	Special functions (33-XX)
4	Fluid mechanics (76-XX)
3	Difference and functional equations (39-XX)
3	Sequences, series, summability (40-XX)
3	Abstract harmonic analysis (43-XX)
3	Integral transforms, operational calculus (44-XX)
3	Geometry (51-XX)
3	Quantum theory (81-XX)
2	Number theory (11-XX)
2	Classical thermodynamics, heat transfer (80-XX)
2	Biology and other natural sciences (92-XX)
1	History and biography (01-XX)
1	Algebraic geometry (14-XX)
1	Topological groups, Lie groups (22-XX)
1	Potential theory (31-XX)
1	Ordinary differential equations (34-XX)
1	Dynamical systems and ergodic theory (37-XX)
1	Integral equations (45-XX)
1	General topology (54-XX)
1	Mechanics of particles and systems (70-XX)

Smith, Philip W.

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Citations contained in zbMATH Open

Cited by 578 Authors

Cited in 166 Serials

Cited in 40 Fields

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