SCOPUS 정보 검색 플랫폼

Volumn 66, Issue 218, 1997, Pages 699-717

The resolution of the Gibbs phenomenon for spherical harmonics

Author keywords

Exponential accuracy; Gegenbauer polynomials; Gibbs phenomenon; Spherical harmonics

Indexed keywords

EID: 0031528454 PISSN: 00255718 EISSN: None Source Type: Journal
DOI: 10.1090/s0025-5718-97-00828-4 Document Type: Article

Times cited : (49)

References (20)

1
- 0004245694
- Dover
- M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, Dover, 1970.
- (1970) Handbook of Mathematical Functions
- Abramowitz, M.¹ Stegun, I.A.²

2
- 0003864328
- McGraw-Hill
- H. Bateman, Higher Transcendental Functions, v2, McGraw-Hill, 1953. MR 84h:33001b
- (1953) Higher Transcendental Functions , vol.2
- Bateman, H.¹

3
- 25744449552
- H. Bateman, Higher Transcendental Functions, v2, McGraw-Hill, 1953. MR 84h:33001b
- MR , vol.84 H

4
- 0004139504
- Addison-Wesley Publishing Company
- E. Butkov, Mathematical Physics, Addison-Wesley Publishing Company, 1968.
- (1968) Mathematical Physics
- Butkov, E.¹

5
- 0003600453
- SIAM-CBMS, Philadelphia
- D. Gottlieb and S. Orszag, Numerical Analysis of Spectral Methods: Theory and Applications, SIAM-CBMS, Philadelphia, 1977. MR 58:24983
- (1977) Numerical Analysis of Spectral Methods: Theory and Applications
- Gottlieb, D.¹ Orszag, S.²

6
- 0039193787
- D. Gottlieb and S. Orszag, Numerical Analysis of Spectral Methods: Theory and Applications, SIAM-CBMS, Philadelphia, 1977. MR 58:24983
- MR , vol.58 , pp. 24983

7
- 0002201787
- On the Gibbs phenomenon I: Recovering exponential accuracy from the Fourier partial sum of a non-periodic analytic function
- D. Gottlieb, C.-W. Shu, A. Solomonoff and H. Vandeven, On The Gibbs Phenomenon I: recovering exponential accuracy from the Fourier partial sum of a non-periodic analytic function, J. Comput. Appl. Math. 43 (1992), 81-92. MR 94h:42006
- (1992) J. Comput. Appl. Math. , vol.43 , pp. 81-92
- Gottlieb, D.¹ Shu, C.-W.² Solomonoff, A.³ Vandeven, H.⁴

8
- 0002201787
- D. Gottlieb, C.-W. Shu, A. Solomonoff and H. Vandeven, On The Gibbs Phenomenon I: recovering exponential accuracy from the Fourier partial sum of a non-periodic analytic function, J. Comput. Appl. Math. 43 (1992), 81-92. MR 94h:42006
- MR , vol.94 H , pp. 42006

9
- 0001338069
- On the Gibbs phenomenon III: Recovering exponential accuracy in a sub-interval from the spectral partial sum of a piecewise analytic function
- D. Gottlieb and C.-W. Shu, On The Gibbs Phenomenon III: recovering exponential accuracy in a sub-interval from the spectral partial sum of a piecewise analytic function, SIAM J. Numer. Anal., 33:1 (1996), 280-290. CMP 96:09
- (1996) SIAM J. Numer. Anal. , vol.33 , Issue.1 , pp. 280-290
- Gottlieb, D.¹ Shu, C.-W.²

10
- 0001338069
- D. Gottlieb and C.-W. Shu, On The Gibbs Phenomenon III: recovering exponential accuracy in a sub-interval from the spectral partial sum of a piecewise analytic function, SIAM J. Numer. Anal., 33:1 (1996), 280-290. CMP 96:09
- CMP , vol.96 , pp. 09

11
- 84968465950
- On the Gibbs phenomenon IV: Recovering exponential accuracy in a sub-interval from a Gegenbauer partial sum of a piecewise analytic function
- D. Gottlieb and C.-W. Shu, On The Gibbs Phenomenon IV: recovering exponential accuracy in a sub-interval from a Gegenbauer partial sum of a piecewise analytic function, Math. Comp. 64:211 (1995), 1081-1095. CMP 95:11
- (1995) Math. Comp. , vol.64 , Issue.211 , pp. 1081-1095
- Gottlieb, D.¹ Shu, C.-W.²

12
- 84968465950
- D. Gottlieb and C.-W. Shu, On The Gibbs Phenomenon IV: recovering exponential accuracy in a sub-interval from a Gegenbauer partial sum of a piecewise analytic function, Math. Comp. 64:211 (1995), 1081-1095. CMP 95:11
- CMP , vol.95 , pp. 11

13
- 0003498504
- Academic Press
- I. Gradshteyn and I. Ryzhik, Tables of Integrals, Series, and Products, Academic Press, 1980. MR 81g:33001
- (1980) Tables of Integrals, Series, and Products
- Gradshteyn, I.¹ Ryzhik, I.²

14
- 0039294616
- I. Gradshteyn and I. Ryzhik, Tables of Integrals, Series, and Products, Academic Press, 1980. MR 81g:33001
- MR , vol.81 G , pp. 33001

15
- 0003992610
- Springer-Verlag
- F. John, Partial Differential Equations, Springer-Verlag, 1982. MR 87g:35002
- (1982) Partial Differential Equations
- John, F.¹

16
- 0040972719
- F. John, Partial Differential Equations, Springer-Verlag, 1982. MR 87g:35002
- MR , vol.87 G , pp. 35002

17
- 0002529738
- Fourier series on spheres
- S. Orszag, Fourier Series on Spheres, Mon. Wea. Rev. 102 (1978), 56-75.
- (1978) Mon. Wea. Rev. , vol.102 , pp. 56-75
- Orszag, S.¹

18
- 0001523389
- On the spectral approximation of discrete scalar and vector functions on a sphere
- P. N. Swarztrauber, On the Spectral Approximation of Discrete Scalar and Vector Functions on a Sphere, Siam J. Numer. Anal., 16:6 (1979), 934-949. MR 81c:65011
- (1979) Siam J. Numer. Anal. , vol.16 , Issue.6 , pp. 934-949
- Swarztrauber, P.N.¹

19
- 0040972718
- P. N. Swarztrauber, On the Spectral Approximation of Discrete Scalar and Vector Functions on a Sphere, Siam J. Numer. Anal., 16:6 (1979), 934-949. MR 81c:65011
- MR , vol.81 C , pp. 65011

20
- 0039786009
- Gesammelte Abhandlungen, Springer-Verlag
- H. Weyl, Die Gibbssche Erscheinung in der Theorie der Kugelfunktionen, Gesammelte Abhandlungen, Springer-Verlag, 1968, 305-320.
- (1968) Die Gibbssche Erscheinung in der Theorie der Kugelfunktionen , pp. 305-320
- Weyl, H.¹

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.