메뉴 건너뛰기




Volumn 103, Issue 2, 2006, Pages 299-322

Polynomial operators and local approximation of solutions of pseudo-differential equations on the sphere

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33645523625     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-006-0676-z     Document Type: Article
Times cited : (19)

References (24)
  • 4
    • 0000273884 scopus 로고
    • Computing Fourier transforms and convolutions on the 2-sphere
    • Driscoll, J.R., Healy, D.M.: Computing Fourier transforms and convolutions on the 2-sphere, Adv. in Applied Math. 15. 202-250 (1994)
    • (1994) Adv. in Applied Math. , vol.15 , pp. 202-250
    • Driscoll, J.R.1    Healy, D.M.2
  • 5
    • 0000669521 scopus 로고    scopus 로고
    • Scattered data fitting on the sphere
    • (M. Dæhlen, T. Lyche, and L. L. Schumaker eds.), Vanderbilt Univ. Press. Nashville & London
    • Fasshauer, O.E.. Schumaker, L.L.: Scattered Data Fitting on the Sphere. In: Mathematical Methods for Curves and Surfaces II (M. Dæhlen, T. Lyche, and L. L. Schumaker eds.), Vanderbilt Univ. Press. Nashville & London, 1998, pp. 117-166
    • (1998) Mathematical Methods for Curves and Surfaces II , pp. 117-166
    • Fasshauer, O.E.1    Schumaker, L.L.2
  • 8
    • 0001694389 scopus 로고
    • Recovering pointwisc values of discontinuous data within spectral accuracy
    • Progress and Supercomputing in Computational Fluid Dynamics (F. M. Murman and S. S. Abarbancl. eds.), Birkhauser, Boston
    • Gottlieb, R., Tadmor, F.: Recovering pointwisc values of discontinuous data within spectral accuracy. In: Progress and Supercomputing in Computational Fluid Dynamics. Proceedings of a 1984 U.S.-Israel Workshop, Progress in Scientific Computing, Vol. 6 (F. M. Murman and S. S. Abarbancl. eds.), Birkhauser, Boston, 1985, pp. 357-375
    • (1985) Proceedings of A 1984 U.S.-Israel Workshop, Progress in Scientific Computing , vol.6 , pp. 357-375
    • Gottlieb, R.1    Tadmor, F.2
  • 9
    • 20444459943 scopus 로고    scopus 로고
    • The compatibility conditions in altimetry-gravimetry boundary value problems
    • Grebenitcharsky, R.S., Sideris, M.G.: The compatibility conditions in altimetry-gravimetry boundary value problems. Journal of Geodesy 78. 626-636 (2005)
    • (2005) Journal of Geodesy , vol.78 , pp. 626-636
    • Grebenitcharsky, R.S.1    Sideris, M.G.2
  • 10
    • 16344381684 scopus 로고
    • Nikolskii-Besov spaces on the sphere in connection with approximation theory
    • Lizorkin, P.I., Rustamov, Kh.P.: Nikolskii-Besov spaces on the sphere in connection with approximation theory. Trudy Math. Inst. Steklov 204. 172-201 (1993)
    • (1993) Trudy Math. Inst. Steklov , vol.204 , pp. 172-201
    • Lizorkin, P.I.1    Rustamov, Kh.P.2
  • 12
    • 33645532759 scopus 로고    scopus 로고
    • New components in geomagnetic field modelling wavelct-Mie-reprcsentation and wavelet-variances
    • Report 27 European Mathematical Society
    • Maier, T.: New components in geomagnetic field modelling wavelct-Mie-reprcsentation and wavelet-variances. Oberwolfach Reports Vol. 1, Report 27 European Mathematical Society. www.mfo.de, pp. 1417-1420
    • Oberwolfach Reports , vol.1 , pp. 1417-1420
    • Maier, T.1
  • 13
    • 10944228037 scopus 로고    scopus 로고
    • Polynomial operators and local smoothness classes on the unit interval
    • Mhaskar, H.N.: Polynomial operators and local smoothness classes on the unit interval. J. Approx. Theory 131, 243-267 (2004)
    • (2004) J. Approx. Theory , vol.131 , pp. 243-267
    • Mhaskar, H.N.1
  • 14
    • 16344364530 scopus 로고    scopus 로고
    • On the representation of smooth functions on the sphere using finitely many bits
    • May
    • Mhaskar, H.N.: On the representation of smooth functions on the sphere using finitely many bits. Adv. Comput. Harm. Anal. 18, Issue 3, May 2005. 215-233
    • (2005) Adv. Comput. Harm. Anal. , vol.18 , Issue.3 , pp. 215-233
    • Mhaskar, H.N.1
  • 15
    • 85050900704 scopus 로고    scopus 로고
    • Weighted quadrature formulas and approximation by zonal function networks on the sphere
    • In Press
    • Mhaskar, H.N.: Weighted quadrature formulas and approximation by zonal function networks on the sphere. J. Complexity (In Press)
    • J. Complexity
    • Mhaskar, H.N.1
  • 16
    • 0035608775 scopus 로고    scopus 로고
    • Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature
    • Corrigendum: Math. Comp. 71, 453-454 (2001)
    • Mhaskar, H.N., Narcowich, F.J., Ward, J.D.: Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature. Math. Comp. 70 no. 235, 1113-1130 (2001) (Corrigendum: Math. Comp. 71, 453-454 (2001))
    • (2001) Math. Comp. , vol.70 , Issue.235 , pp. 1113-1130
    • Mhaskar, H.N.1    Narcowich, F.J.2    Ward, J.D.3
  • 17
    • 36248934639 scopus 로고    scopus 로고
    • Polynomial frames: A fast tour
    • Gatliburg. 2004 (C. K. Chui. M. Neamtu. L. L. Schumaker eds.), Nashboro Press. Brentwood
    • Mhaskar, H.N.. Prestin. J.: Polynomial frames: a fast tour. In: Approximation Theory. XI. Gatliburg. 2004 (C. K. Chui. M. Neamtu. L. L. Schumaker eds.), Nashboro Press. Brentwood, 2005, pp. 287-318
    • (2005) Approximation Theory , vol.11 , pp. 287-318
    • Mhaskar, H.N.1    Prestin, J.2
  • 18
    • 33645512924 scopus 로고    scopus 로고
    • Mathematical methods in oceanography: Approximation methods in ocean modeling
    • Report 27 European Mathematical Society
    • Michel, D.: Mathematical methods in oceanography: approximation methods in ocean modeling. Obcrwolfach Reports Vol. 1. Report 27 European Mathematical Society, www.mfo.de. pp.1422-1425
    • Obcrwolfach Reports , vol.1 , pp. 1422-1425
    • Michel, D.1
  • 19
    • 0003360039 scopus 로고
    • Spherical harmonics
    • Springer Verlas, Berlin
    • Müller, C.: Spherical harmonics. Lecture Notes in Mathematics. Vol. 17. Springer Verlas, Berlin. 1966
    • (1966) Lecture Notes in Mathematics , vol.17
    • Müller, C.1
  • 20
    • 0036186647 scopus 로고    scopus 로고
    • Error bounds for solving pseudodiffcrential equations on spheres by collocation with zonal kernels
    • Morton, T., Neamtu, M.: Error bounds for solving pseudodiffcrential equations on spheres by collocation with zonal kernels. J. Approx. Theory 114, no. 2, 242-268 (2002)
    • (2002) J. Approx. Theory , vol.114 , Issue.2 , pp. 242-268
    • Morton, T.1    Neamtu, M.2
  • 21
    • 0032367851 scopus 로고    scopus 로고
    • Fast algorithms for discrete polynomial transforms
    • Potts, D., Steidl. G., Tasche, M.: Fast algorithms for discrete polynomial transforms. Math. Comp. 67, 1577-1590(1998)
    • (1998) Math. Comp. , vol.67 , pp. 1577-1590
    • Potts, D.1    Steidl, G.2    Tasche, M.3
  • 24
    • 0001984489 scopus 로고
    • Pseudo-differential operators - A new approach to the boundary value problems of physical geodesy
    • Svensson, S.L.: Pseudo-differential operators - a new approach to the boundary value problems of physical geodesy. Manuscr. Geod. 8. 1-40 (1983)
    • (1983) Manuscr. Geod. , vol.8 , pp. 1-40
    • Svensson, S.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.