HR job title
- Professor
- Contact Info
- 1 979 845 7554
Narcowich, Francis Professor
Positions
- Professor, Mathematics, College of Arts and Sciences
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Publications
selected publications
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academicarticle
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Amir, A., Levin, D., Narcowich, F. J., & Ward, J. D.
(2022).
Meshfree Extrapolation with Application to Enhanced Near-Boundary Approximation with Local Lagrange Kernels. 22(1), 1-34.
-
Ward, J. P., Narcowich, F. J., & Ward, J. D.
(2021).
Locally supported, quasi-interpolatory bases on graphs. abs/2101.02256.
-
Ward, J. P., Narcowich, F. J., & Ward, J. D.
(2020).
Interpolating splines on graphs for data science applications. Applied and Computational Harmonic Analysis.
49(2), 540-557.
-
Kuenemund, J., Narcowich, F. J., Ward, J. D., & Wendland, H.
(2019).
A high-order meshless Galerkin method for semilinear parabolic equations on spheres. Numerische Mathematik.
142(2), 383-419.
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Hangelbroek, T., Narcowich, F. J., Rieger, C., & Ward, J. D.
(2018).
AN INVERSE THEOREM FOR COMPACT LIPSCHITZ REGIONS IN R-d USING LOCALIZED KERNEL BASES. Mathematics of Computation.
87(312), 1949-1989.
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Lehoucq, R. B., Narcowich, F. J., Rowe, S. T., & Ward, J. D.
(2018).
A MESHLESS GALERKIN METHOD FOR NON-LOCAL DIFFUSION USING LOCALIZED KERNEL BASES. Mathematics of Computation.
87(313), 2233-2258.
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Lehoucq, R. B., Narcowich, F. J., Rowe, S. T., & Ward, J. D.
(2018).
A meshless Galerkin method for non-local diffusion using localized kernel bases. 87, 2233-2258.
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Hangelbroek, T., Narcowich, F. J., Rieger, C., & Ward, J. D.
(2018).
An inverse theorem for compact Lipschitz regions in d using localized kernel bases. 87, 1949-1989.
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Hangelbroek, T., Narcowich, F. J., Rieger, C., & Ward, J. D.
(2018).
Direct and Inverse Results on Bounded Domains for Meshless Methods via Localized Bases on Manifolds. 517-543.
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Narcowich, F. J., Rowe, S. T., & Ward, J. D.
(2017).
A NOVEL GALERKIN METHOD FOR SOLVING PDES ON THE SPHERE USING HIGHLY LOCALIZED KERNEL BASES. Mathematics of Computation.
86(303), 197-231.
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Fuselier, E., Hangelbroek, T., Narcowich, F. J., Ward, J. D., & Wright, G. B.
(2014).
Kernel based quadrature on spheres and other homogeneous spaces. Numerische Mathematik.
127(1), 57-92.
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Fuselier, E., Hangelbroek, T., Narcowich, F. J., Ward, J. D., & Wright, G. B.
(2013).
LOCALIZED BASES FOR KERNEL SPACES ON THE UNIT SPHERE. SIAM Journal on Numerical Analysis.
51(5), 2538-2562.
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Hangelbroek, T., Narcowich, F. J., & Ward, J. D.
(2012).
Polyharmonic and Related Kernels on Manifolds: Interpolation and Approximation. Foundations of Computational Mathematics.
12(5), 625-670.
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Hangelbroek, T., Madych, W., Narcowich, F., & Ward, J. D.
(2012).
Cardinal Interpolation with Gaussian Kernels. Journal of Fourier Analysis and Applications.
18(1), 67-86.
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Hangelbroek, T., Narcowich, F. J., Sun, X., & Ward, J. D.
(2011).
KERNEL APPROXIMATION ON MANIFOLDS II: THE L-infinity NORM OF THE L-2 PROJECTOR. SIAM Journal on Mathematical Analysis.
43(2), 662-684.
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Narcowich, F. J., Sun, X., Ward, J. D., & Wu, Z.
(2010).
LeVeque type inequalities and discrepancy estimates for minimal energy configurations on spheres. Journal of Approximation Theory.
162(6), 1256-1278.
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Hangelbroek, T., Narcowich, F. J., & Ward, J. D.
(2010).
KERNEL APPROXIMATION ON MANIFOLDS I: BOUNDING THE LEBESGUE CONSTANT. SIAM Journal on Mathematical Analysis.
42(4), 1732-1760.
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Mhaskar, H. N., Narcowich, F. J., Prestin, J., & Ward, J. D.
(2010).
L-p BERNSTEIN ESTIMATES AND APPROXIMATION BY SPHERICAL BASIS FUNCTIONS. Mathematics of Computation.
79(271), 1647-1679.
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Fuselier, E. J., Narcowich, F. J., Ward, J. D., & Wright, G. B.
(2009).
ERROR AND STABILITY ESTIMATES FOR SURFACE-DIVERGENCE FREE RBF INTERPOLANTS ON THE SPHERE. Mathematics of Computation.
78(268), 2157-2186.
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The Publisher.
(2008).
Errata. Advances in Computational Mathematics.
29(1), 91-100.
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Mhaskar, H. N., Narcowich, F. J., & Ward, J. D.
(2008).
On the representation of band-dominant functions on the sphere using finitely many bits (vol 21, pg 127, 2004). Advances in Computational Mathematics.
29(1), 92-92.
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Narcowich, F. J., Ward, J. D., & Wright, G. B.
(2007).
Divergenee-free RBFs on surfaces. Journal of Fourier Analysis and Applications.
13(6), 643-663.
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Narcowich, F. J., Sun, X., & Ward, J. D.
(2007).
Approximation power of RBFs and their associated SBFs: a connection. Advances in Computational Mathematics.
27(1), 107-124.
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Narcowich, F. J., Sun, X., Ward, J. D., & Wendland, H.
(2007).
Direct and inverse Sobolev error estimates for scattered data interpolation via spherical basis functions. Foundations of Computational Mathematics.
7(3), 369-390.
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Narcowich, F. J., Ward, J. D., & Wendland, H.
(2006).
Sobolev error estimates and a Bernstein inequality for scattered data interpolation via radial basis functions. Constructive Approximation.
24(2), 175-186.
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Le Gia, Q. T., Narcowich, F. J., Ward, J. D., & Wendland, H.
(2006).
Continuous and discrete least-squares approximation by radial basis functions on spheres. Journal of Approximation Theory.
143(1), 124-133.
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Narcowich, F., Petrushev, P., & Ward, J.
(2006).
Decomposition of Besov and TriebelLizorkin spaces on the sphere. Journal of Functional Analysis.
238(2), 530-564.
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Narcowich, F. J., Petrushev, P., & Ward, J. D.
(2006).
Localized tight frames on spheres. SIAM Journal on Mathematical Analysis.
38(2), 574-594.
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Narcowich, F. J.
(2005).
Recent developments in error estimates for scattered-data interpolation via radial basis functions. Numerical Algorithms.
39(1-3), 307-315.
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Narcowich, F. J., Ward, J. D., & Wendland, H.
(2005).
Sobolev bounds on functions with scattered zeros, with applications to radial basis function surface fitting. Mathematics of Computation.
74(250), 743-763.
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Mhaskar, H. N., Narcowich, F. J., & Ward, J. D.
(2004).
Erratum: 'On the representation of band-dominant functions of the sphere using finitely many bits' (Advances in Computational Mathematics (2004) 21 (127-146)). Advances in Computational Mathematics.
21(3-4), 445.
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Narcowich, F. J., & Ward, J. D.
(2004).
Preface. Advances in Computational Mathematics.
21(1-2), 1-2.
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Narcowich, F. J., & Ward, J. D.
(2004).
Advances in Computational Mathematics: Preface. Advances in Computational Mathematics.
21(1-2), 1-2.
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Mhaskar, H. N., Narcowich, F. J., & Ward, J. D.
(2004).
On the representation of band-dominant functions on the sphere using finitely many bits. Advances in Computational Mathematics.
21(1-2), 127-146.
-
Mhaskar, H. N., Narcowich, F. J., & Ward, J. D.
(2004).
On the representation of band-dominant functions on the sphere using finitely many bits. Advances in Computational Mathematics.
21(1-2), 127-146.
-
Narcowich, F. J., & Ward, J. D.
(2004).
Scattered-data interpolation on R-n: Error estimates for radial basis and band-limited functions. SIAM Journal on Mathematical Analysis.
36(1), 284-300.
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Mhaskar, H. N., Narcowich, F. J., & Ward, J. D.
(2004).
On the representation of band-dominant functions of the sphere using finitely many bits (vol 21, pg 127, 2004). Advances in Computational Mathematics.
21(3-4), 445-445.
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Lorentz, R. A., Narcowich, F. J., & Ward, J. D.
(2003).
Collocation discretizations of the transport equation with radial basis functions. Applied Mathematics and Computation.
145(1), 97-116.
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Narcowich, F. J., Ward, J. D., & Wendland, H.
(2003).
Refined error estimates for radial basis function interpolation. Constructive Approximation.
19(4), 541-564.
-
Mhaskar, H. N., Narcowich, F. J., & Ward, J. D.
(2003).
Zonal function network frames on the sphere. Neural Networks.
16(2), 183-203.
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Boggess, A., Narcowich, F. J., Donoho, D. L., & Donoho, P. L.
(2002).
A first course in wavelets with fourier analysis. PHYSICS TODAY.
55(5), 59.
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Mhaskar, H. N., Narcowich, F. J., Sivakumar, N., & Ward, J. D.
(2002).
Approximation with interpolatory constraints. Proceedings of the American Mathematical Society.
130(5), 1355-1364.
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Narcowich, F. J., Schaback, R., & Ward, J. D.
(2002).
Approximation in Sobolev spaces by kernel expansions. Journal of Approximation Theory.
114(1), 70-83.
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Mhaskar, H. N., Narcowich, F. J., & Ward, J. D.
(2002).
Corrigendum to "Spherical Marcinkiewicz-Zygmund inequalties and positive quadrature" (vol 70, pg 1113, 2001). Mathematics of Computation.
71(237), 453-454.
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Narcowich, F. J., & Ward, J. D.
(2002).
Scattered data interpolation on spheres: Error estimates and locally supported basis functions. SIAM Journal on Mathematical Analysis.
33(6), 1393-1410.
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Mhaskar, H. N., Narcowich, F. J., & Ward, J. D.
(2001).
Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature. Mathematics of Computation.
70(235), 1113-1130.
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Mhaskar, H. N., Narcowich, F. J., & Ward, J. D.
(2000).
Neural network frames on the sphere. 1, 175-184.
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Mhaskar, H. N., Narcowich, F. J., Prestin, J., & Ward, J. D.
(2000).
Polynomial frames on the sphere. Advances in Computational Mathematics.
13(4), 387-403.
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Mhaskar, H. N., Narcowich, F. J., & Ward, J. D.
(2000).
Quasi-interpolation in shift invariant spaces. Journal of Mathematical Analysis and Applications.
251(1), 356-363.
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Mhaskar, H. N., Narcowich, F. J., & Ward, J. D.
(1999).
Approximation properties of zonal function networks using scattered data on the sphere. Advances in Computational Mathematics.
11(2-3), 121-137.
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Narcowich, F. J., Schaback, R., & Ward, J. D.
(1999).
Multilevel interpolation and approximation. Applied and Computational Harmonic Analysis.
7(3), 243-261.
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Dyn, N., Narcowich, F. J., & Ward, J. D.
(1999).
Variational principles and Sobolev-type estimates for generalized interpolation on a Riemannian manifold. Constructive Approximation.
15(2), 175-208.
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Narcowich, F. J., Sivakumar, N., & Ward, J. D.
(1998).
Stability results for scattered-data interpolation on Euclidean spheres. Advances in Computational Mathematics.
8(3), 137-163.
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Narcowich, F. J., & Ward, J. D.
(1996).
Nonstationary wavelets on the m-sphere for scattered data. Applied and Computational Harmonic Analysis.
3(4), 324-336.
-
Narcowich, F. J., & Ward, J. D.
(1996).
Wavelets associated with periodic basis functions. Applied and Computational Harmonic Analysis.
3(1), 40-56.
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KURDILA, A. J., NARCOWICH, F. J., & WARD, J. D.
(1995).
PERSISTENCY OF EXCITATION IN IDENTIFICATION USING RADIAL BASIS FUNCTION APPROXIMANTS. SIAM Journal of Control and Optimization.
33(2), 625-642.
-
NARCOWICH, F. J.
(1995).
GENERALIZED HERMITE INTERPOLATION AND POSITIVE-DEFINITE KERNELS ON A RIEMANNIAN MANIFOLD. Journal of Mathematical Analysis and Applications.
190(1), 165-193.
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NARCOWICH, F. J., & WARD, J. D.
(1994).
GENERALIZED HERMITE INTERPOLATION VIA MATRIX-VALUED CONDITIONALLY POSITIVE-DEFINITE FUNCTIONS. Mathematics of Computation.
63(208), 661-687.
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Narcowich, F. J., & Ward, J. D.
(1994).
Generalized Hermite interpolation via matrix-valued conditionally positive definite functions. Mathematics of Computation.
63(208), 661-687.
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NARCOWICH, F. J., SIVAKUMAR, N., & WARD, J. D.
(1994).
ON CONDITION NUMBERS ASSOCIATED WITH RADIAL-FUNCTION INTERPOLATION. Journal of Mathematical Analysis and Applications.
186(2), 457-485.
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Kurdila, A. J., & Narcowich, F. J.
(1993).
Sufficient conditions for penalty formulation methods in analytical dynamics. Computational Mechanics.
12(1-2), 81-96.
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NARCOWICH, F. J., & WARD, J. D.
(1992).
NORM ESTIMATES FOR THE INVERSES OF A GENERAL-CLASS OF SCATTERED-DATA RADIAL-FUNCTION INTERPOLATION MATRICES. Journal of Approximation Theory.
69(1), 84-109.
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CHEN, G., FULLING, S. A., NARCOWICH, F. J., & SUN, S.
(1991).
EXPONENTIAL DECAY OF ENERGY OF EVOLUTION-EQUATIONS WITH LOCALLY DISTRIBUTED DAMPING. SIAM Journal on Applied Mathematics.
51(1), 266-301.
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NARCOWICH, F. J., & WARD, J. D.
(1991).
NORMS OF INVERSES AND CONDITION NUMBERS FOR MATRICES ASSOCIATED WITH SCATTERED DATA. Journal of Approximation Theory.
64(1), 69-94.
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CHEN, G., FULLING, S. A., NARCOWICH, F. J., & QI, C.
(1990).
AN ASYMPTOTIC AVERAGE DECAY-RATE FOR THE WAVE-EQUATION WITH VARIABLE-COEFFICIENT VISCOUS DAMPING. SIAM Journal on Applied Mathematics.
50(5), 1341-1347.
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NARCOWICH, F. J.
(1990).
GEOMETRY AND UNCERTAINTY. Journal of Mathematical Physics.
31(2), 354-364.
-
NARCOWICH, F. J.
(1989).
DISTRIBUTIONS OF H-POSITIVE TYPE AND APPLICATIONS. Journal of Mathematical Physics.
30(11), 2565-2573.
-
NARCOWICH, F. J., & OCONNELL, R. F.
(1988).
A UNIFIED APPROACH TO QUANTUM DYNAMICAL MAPS AND GAUSSIAN WIGNER DISTRIBUTIONS. Physics Letters, Section A: General, Atomic and Solid State Physics.
133(4-5), 167-170.
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NARCOWICH, F. J.
(1988).
CONDITIONS FOR THE CONVOLUTION OF 2 WIGNER DISTRIBUTIONS TO BE ITSELF A WIGNER DISTRIBUTION. Journal of Mathematical Physics.
29(9), 2036-2041.
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NARCOWICH, F. J.
(1987).
THE PROBLEM OF MOMENTS IN THE PHASE-SPACE FORMULATION OF QUANTUM-MECHANICS. Journal of Mathematical Physics.
28(12), 2873-2882.
-
NARCOWICH, F. J.
(1986).
A DYSON-LIKE EXPANSION FOR SOLUTIONS TO THE QUANTUM LIOUVILLE EQUATION. Journal of Mathematical Physics.
27(10), 2502-2510.
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Narcowich, F. J., & O'Connell, R. F.
(1986).
Necessary and sufficient conditions for a phase-space function to be a Wigner distribution. Physical review. A, General physics.
34(1), 1-6.
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NARCOWICH, F. J.
(1985).
ON THE QUANTUM LIOUVILLE EQUATION. Physica A: Statistical Mechanics and its Applications.
134(1), 193-208.
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NARCOWICH, F. J., & WARD, J. D.
(1984).
TOEPLITZ-HAUSDORFF SYSTEMS. Linear Algebra and Its Applications.
62(NOV), 183-193.
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FULLING, S. A., & NARCOWICH, F. J.
(1982).
A BASIS FOR THE LOCAL SOLUTIONS OF AN ELLIPTIC EQUATION. Journal of Mathematical Analysis and Applications.
86(1), 246-267.
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NARCOWICH, F. J., & WARD, J. D.
(1982).
A CHARACTERIZATION OF ESSENTIAL MATRIX RANGES. Bulletin of the London Mathematical Society.
14(MAR), 107-111.
-
NARCOWICH, F. J., & WARD, J. D.
(1982).
SUPPORT FUNCTIONS FOR MATRIX RANGES - ANALOGS OF LUMER FORMULA. Journal of Operator Theory.
7(1), 25-49.
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NARCOWICH, F. J., & WARD, J. D.
(1981).
A TOEPLITZ-HAUSDORFF THEOREM FOR MATRIX RANGES. Journal of Operator Theory.
6(1), 87-101.
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FULLING, S. A., NARCOWICH, F. J., & WALD, R. M.
(1981).
SINGULARITY STRUCTURE OF THE 2-POINT FUNCTION IN QUANTUM-FIELD THEORY IN CURVED SPACETIME .2. ANNALS OF PHYSICS.
136(2), 243-272.
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NARCOWICH, F. J.
(1980).
ANALYTIC PROPERTIES OF THE BOUNDARY OF THE NUMERICAL RANGE. INDIANA UNIVERSITY MATHEMATICS JOURNAL.
29(1), 67-77.
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BARONE, S. R., NARCOWICH, M. A., & NARCOWICH, F. J.
(1977).
FLOQUET THEORY AND APPLICATIONS. Physical Review A: Atomic, Molecular and Optical Physics.
15(3), 1109-1125.
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NARCOWICH, F. J.
(1977).
EXTREME POINTS OF INTERVAL BETWEEN 2 OPERATORS. Proceedings of the American Mathematical Society.
67(1), 84-86.
-
NARCOWICH, F. J.
(1977).
R-OPERATORS-II - APPROXIMATION OF CERTAIN OPERATOR-VALUED ANALYTIC-FUNCTIONS AND HERMITIAN MOMENT PROBLEM. INDIANA UNIVERSITY MATHEMATICS JOURNAL.
26(3), 483-513.
-
NARCOWICH, F. J.
(1976).
IMBEDDING THEOREM FOR INDETERMINATE HERMITIAN MOMENT SEQUENCES. PACIFIC JOURNAL OF MATHEMATICS.
66(2), 499-507.
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ALLEN, G. D., & NARCOWICH, F. J.
(1976).
R-OPERATORS .1. REPRESENTATION THEORY AND APPLICATIONS. INDIANA UNIVERSITY MATHEMATICS JOURNAL.
25(10), 945-963.
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NARCOWICH, F. J., & ALLEN, G. D.
(1975).
CONVERGENCE OF DIAGONAL OPERATOR-VALUED PADE APPROXIMANTS TO DYSON EXPANSION. Communications in Mathematical Physics.
45(2), 153-157.
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ALLEN, G. D., NARCOWICH, F. J., & WILLIAMS, J. P.
(1975).
OPERATOR VERSION OF A THEOREM OF KOLMOGOROV. PACIFIC JOURNAL OF MATHEMATICS.
61(2), 305-312.
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ALLEN, G. D., CHUI, C. K., MADYCH, W. R., NARCOWICH, F. J., & SMITH, P. W.
(1975).
PADE APPROXIMATION OF STIELTJES SERIES. Journal of Approximation Theory.
14(4), 302-316.
-
ALLEN, G. D., & NARCOWICH, F. J.
(1975).
REPRESENTATION AND APPROXIMATION OF A CLASS OF OPERATOR-VALUED ANALYTIC-FUNCTIONS. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY.
81(2), 410-412.
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Narcowich, F. J.
(1974).
Mathematical theory of the R matrix. I. The eigenvalue problem. Journal of Mathematical Physics.
15(10), 1626-1634.
-
Narcowich, F. J.
(1974).
The mathematical theory of the R matrix. II. The R matrix and its properties. Journal of Mathematical Physics.
15(10), 1635-1642.
-
Allen, G. D., Chui, C. K., Madych, W. R., Narcowich, F. J., & Smith, P. W.
(1974).
Pad approximation and gaussian quadrature. Bulletin of the Australian Mathematical Society.
11(1), 63-69.
-
Allen, G. D., Chui, C. K., Madych, W. R., Narcowich, F. J., & Smith, P. W.
(1974).
Pad approximation and orthogonal polynomials. Bulletin of the Australian Mathematical Society.
10(2), 263-270.
-
Amir, A., Levin, D., Narcowich, F. J., & Ward, J. D.
(2022).
Meshfree Extrapolation with Application to Enhanced Near-Boundary Approximation with Local Lagrange Kernels. 22(1), 1-34.
-
book
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Boggess, A., & Narcowich, F. J.
(2009).
A First Course in Wavelets with Fourier Analysis. Wiley.
-
Wickerhauser, M. V., Jensen, A., la Cour-Harbo, A., Boggess, A., & Narcowich, F. J.
(2003).
A First Course in Wavelets with Fourier Analysis. Ed. 110.
JSTOR.
-
Boggess, A., & Narcowich, F. J.
(2001).
A First Course in Wavelets with Fourier Analysis
-
Fulling, S. A., & Narcowich, F. J.
(1991).
Forty More Years of Ramifications Spectral Asymptotics and Its Applications. Ed. Fulling, Stephen.
-
Boggess, A., & Narcowich, F. J.
(2009).
A First Course in Wavelets with Fourier Analysis. Wiley.
-
chapter
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Narcowich, F. J., & Ward, J. D.
(1991).
Norms of Inverses for Matrices Associated with Scattered Data. Laurent, P., Méhauté, A. L., & Schumaker, L. L. (Eds.),
Curves and Surfaces.
(pp. 341-348).
Elsevier.
-
Narcowich, F. J.
(1987).
A quantum mechanical moment problem. Lecture Notes in Physics.
The Physics of Phase Space Nonlinear Dynamics and Chaos Geometric Quantization, and Wigner Function.
(pp. 205-207).
Springer Nature.
-
Narcowich, F. J., & Ward, J. D.
(1991).
Norms of Inverses for Matrices Associated with Scattered Data. Laurent, P., Méhauté, A. L., & Schumaker, L. L. (Eds.),
Curves and Surfaces.
(pp. 341-348).
Elsevier.
-
conference paper
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KURDILA, A. J., NARCOWICH, F. J., & WARD, J. D.
(1994).
PERSISTENCY OF EXCITATION, IDENTIFICATION, AND RADIAL BASIS FUNCTIONS. IEEE Conference on Decision and Control.
2273-2278.
-
KURDILA, A. J., JUNKINS, J. L., KEALEY, W. L., NARCOWICH, F. J., & BAKICH, M. P.
(1992).
APPROXIMATION OF POINCARE SECTIONS ARISING IN ATTITUDE-CONTROL. Advances in the Astronautical Sciences.
1721-1735.
-
NARCOWICH, F. J.
(1976).
INDETERMINATE HERMITIAN MOMENT SEQUENCES - PRELIMINARY-REPORT. A163-A163.
-
KURDILA, A. J., NARCOWICH, F. J., & WARD, J. D.
(1994).
PERSISTENCY OF EXCITATION, IDENTIFICATION, AND RADIAL BASIS FUNCTIONS. IEEE Conference on Decision and Control.
2273-2278.
-
institutional repository document
-
Erb, W., Hangelbroek, T., Narcowich, F. J., Rieger, C., & Ward, J. D.
(2023).
Highly Localized RBF Lagrange Functions for Finite Difference Methods on Spheres
-
Ward, J. P., Narcowich, F. J., & Ward, J. D.
(2021).
Locally supported, quasi-interpolatory bases on graphs
-
Ward, J. P., Narcowich, F. J., & Ward, J. D.
(2018).
Interpolating splines on graphs for data science applications
-
Lehoucq, R. B., Narcowich, F. J., Rowe, S. T., & Ward, J. D.
(2016).
A Meshless Galerkin Method For Non-Local Diffusion Using Localized Kernel Bases
-
Hangelbroek, T., Narcowich, F. J., Rieger, C., & Ward, J. D.
(2015).
An inverse theorem for compact Lipschitz regions in $R^d$ using localized kernel bases
-
Hangelbroek, T., Narcowich, F. J., Rieger, C., & Ward, J. D.
(2014).
Direct and Inverse Results on Bounded Domains for Meshless Methods via Localized Bases on Manifolds
-
Narcowich, F. J., Rowe, S. T., & Ward, J. D.
(2014).
A Novel Galerkin Method for Solving PDEs on the Sphere Using Highly Localized Kernel Bases
-
Fuselier, E., Hangelbroek, T., Narcowich, F. J., Ward, J. D., & Wright, G. B.
(2012).
Kernel Based Quadrature on Spheres and Other Homogeneous Spaces
-
Fuselier, E., Hangelbroek, T., Narcowich, F. J., Ward, J. D., & Wright, G. B.
(2012).
Localized bases for kernel spaces on the unit sphere
-
Fuselier, E. J., Hangelbroek, T. C., Narcowich, F. J., Ward, J. D., & Wright, G. B.
(2011).
Better bases for kernel spaces
-
Fuselier, E. J., Hangelbroek, T. C., Narcowich, F. J., Ward, J. D., & Wright, G. B.
(2011).
Better bases for kernel spaces
-
Hangelbroek, T., Narcowich, F. J., & Ward, J. D.
(2010).
Polyharmonic and Related Kernels on Manifolds: Interpolation and Approximation
-
Hangelbroek, T., Madych, W., Narcowich, F. J., & Ward, J. D.
(2010).
Cardinal Interpolation with Gaussian Kernels
-
Hangelbroek, T., Narcowich, F. J., Sun, X., & Ward, J. D.
(2010).
Kernel Approximation on Manifolds II: The $L_{infty}$-norm of the $L_2$-projector
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Hangelbroek, T., Narcowich, F. J., & Ward, J. D.
(2009).
Kernel Approximation on Manifolds I: Bounding the Lebesgue Constant
-
Mhaskar, H. N., Narcowich, F. J., Prestin, J., & Ward, J. D.
(2008).
L^p Bernstein estimates and approximation by spherical basis functions
-
Erb, W., Hangelbroek, T., Narcowich, F. J., Rieger, C., & Ward, J. D.
(2023).
Highly Localized RBF Lagrange Functions for Finite Difference Methods on Spheres
Research
co-principal investigator on
- Theory and Applications of Localized Kernel Bases to Meshfree Methods awarded by National Science Foundation - (Arlington, Virginia, United States) 2018 - 2021
- Localized Kernel Bases: Theory and Applications to Meshless Methods awarded by National Science Foundation - (Arlington, Virginia, United States) 2015 - 2019
- Localized Kernel Bases With Application To Meshless Methods awarded by National Science Foundation - (Arlington, Virginia, United States) 2012 - 2016
Teaching
teaching activities
- MATH304 Linear Algebra Instructor
- MATH311 Top In Applied Math I Instructor
- MATH407 Complex Variables Instructor
- MATH414 Fourier Series Wavelet Instructor
- MATH601 Meth Appl Math I Instructor
- MATH641 Analy For Applications I Instructor
- MATH642 Analy For Application Ii Instructor
- MATH685 Directed Studies Instructor
- MATH691 Research Instructor
Works By Students
chaired theses and dissertations
-
Fuselier, Edward J., Jr. (2007-09). Refined error estimates for matrix-valued radial basis functions.
-
Le Gia, Quoc Thong (2004-09). Approximation of linear partial differential equations on spheres.
-
Lowitzsch, Svenja (2004-09). Approximation and interpolation employing divergence-free radial basis functions with applications.
-
Rowe, Stephen Taber (2015-04). Meshfree Methods Using Localized Kernel Bases.
-
Ward, John P. (2012-10). L^p Bernstein Inequalities and Radial Basis Function Approximation.
Background
education and training
- Ph.D. in Mathematical Physics, Princeton University - (Princeton, New Jersey, United States) 1972
- M.A. in Mathematical Physics, Princeton University - (Princeton, New Jersey, United States) 1970
awards and honors
Contact
first name
- Francis
has last name
- Narcowich
mailing address
-
Texas A&M University
Mathematics
3368 TAMU
College Station, TX 77843-3368
USA
Other
- f-narcowich@tamu.edu