SCOPUS 정보 검색 플랫폼

SIAM Journal on Scientific Computing

Volumn 23, Issue 1, 2002, Pages 271-303

On the efficient parallel computation of Legendre transforms

(3) Inda, Márcia A a Bisseling, Rob H a Maslen, David K a

a FOM INSTITUTE AMOLF (Netherlands)

Author keywords

BSP; Computational harmonic analysis; Legendre polynomials; Orthogonal polynomials; Parallel computation

Indexed keywords

COMPUTATIONAL COMPLEXITY; COSINE TRANSFORMS; PARALLEL ALGORITHMS; POLYNOMIALS;

DISCRETE LEGENDRE TRANSFORMS (DLT);

PARALLEL PROCESSING SYSTEMS;

EID: 0036210812 PISSN: 10648275 EISSN: None Source Type: Journal
DOI: 10.1137/S1064827599355864 Document Type: Article

Times cited : (9)

References (35)

1
- 84902748454
- Discrete cosine transform
- (1974) IEEE Trans. Comput. , vol.23 , pp. 90-93
- Ahmed, N.¹ Natarajan, T.² Rao, K.R.³

2
- 0000944835
- A fast algorithm for the evaluation of Legendre expansions
- (1991) SIAM J. Sci. Statist. Comput. , vol.12 , pp. 158-179
- Alpert, B.K.¹ Rokhlin, V.²

3
- 0028496368
- On the parallelization of global spectral weather models
- (1994) Parallel Comput. , vol.20 , pp. 1335-1356
- Barros, S.R.M.¹ Kauranne, T.²

4
- 0001830455
- On the associated Legendre polynomials
- D. T. Haimo, ed., Southern Illinois University Press, Carbondale, IL
- (1968) Orthogonal Expansions and Their Continuous Analogues , pp. 43-50
- Barrucand, P.¹ Dickinson, D.²

5
- 0001601097
- On the associated orthogonal polynomials
- (1990) J. Comput. Appl. Math. , vol.32 , pp. 311-319
- Belmehdi, S.¹

6
- 84944457322
- Basic techniques for numerical linear algebra on bulk synchronous parallel computers
- Numerical Analysis and Its Applications, Springer-Verlag, Berlin
- (1997) Lecture Notes in Comput. Sci. , vol.1196 , pp. 46-57
- Bisseling, R.H.¹

7
- 85160612798
- (2000) BSPEDUpack
- Bisseling, R.H.¹

8
- 0032690047
- The Paderborn University BSP (PUB) library - Design, implementation and performance
- CD-ROM, IEEE Computer Society, Los Alamitos, CA
- (1999) Proceedings of the 13th International Parallel Processing Symposium and the 10th Symposium on Parallel and Distributed Processing
- Bonorden, O.¹ Juurlink, B.² Von Otte, I.³ Rieping, I.⁴

9
- 0024815403
- A comparison of three numerical methods for solving differential equations on the sphere
- (1989) Monthly Weather Review , vol.117 , pp. 1058-1075
- Browning, G.L.¹ Hack, J.J.² Swarztrauber, P.N.³

10
- 0004165067
- Gordon and Breach, New York
- (1978) An Introduction to Orthogonal Polynomials
- Chihara, T.S.¹

11
- 84968470212
- An algorithm for the machine calculation of complex Fourier series
- (1965) Math. Comp. , vol.19 , pp. 297-301
- Cooley, J.W.¹ Tukey, J.W.²

12
- 0001181359
- Computation of spherical harmonic expansion coefficients via FFTs
- (1985) J. Comput. Phys. , vol.57 , pp. 439-453
- Dilts, G.A.¹

13
- 0000273884
- Computing Fourier transforms and convolutions on the 2-sphere
- (1994) Adv. Appl. Math. , vol.15 , pp. 202-250
- Driscoll, J.R.¹ Healy Jr., D.M.²

14
- 0024772342
- Computing Fourier transforms and convolutions on the 2-sphere
- IEEE Computer Society, Los Alamitos, CA
- (1989) Proceedings of the 30th IEEE Symposium on Foundations of Computer Science , pp. 344-349
- Driscoll, J.R.¹ Healy Jr., D.M.²

15
- 0031209710
- Fast discrete polynomial transforms with applications to data analysis for distance transitive graphs
- (1997) SIAM J. Comput. , vol.26 , pp. 1066-1099
- Driscoll, J.R.¹ Healy Jr., D.M.² Rockmore, D.N.³

16
- 0027551946
- Approximation and characterization of molecular surfaces
- (1993) Biopolymers , vol.33 , pp. 219-229
- Duncan, B.S.¹ Olson, A.J.²

17
- 0008722176
- Tech. report, Department of Mathematics and Computer Science, Dartmouth College, Hanover, NH
- (1993) Spherical Deconvolution with Application to Geometric Quality Assurance
- Healy Jr., D.M.¹ Kim, P.T.²

18
- 0030543857
- An empirical Bayes approach to directional data and efficient computation on the sphere
- (1996) Ann. Statist. , vol.24 , pp. 232-254
- Healy Jr., D.M.¹ Kim, P.T.²

19
- 0039631437
- Tech. report PCS-TR94-222, Department of Mathematics and Computer Science, Dartmouth College, Hanover, NH
- (1994) Efficiency and stability issues in the numerical computation of Fourier transforms and convolutions on the 2-sphere
- Healy Jr., D.M.¹ Moore, S.S.B.² Rockmore, D.³

20
- 0003708471
- Tech. report, Department of Mathematics and Computer Science, Dartmouth College, Hanover, NH
- (1998) FFTs for the 2-Sphere - Improvements and Variations
- Healy Jr., D.M.¹ Rockmore, D.² Kostelec, P.J.³ Moore, S.S.B.⁴

21
- 0032297719
- BSPlib: The BSP programming library
- (1998) Parallel Comput. , vol.24 , pp. 1947-1980
- Hill, J.M.D.¹ McColl, B.² Stefanescu, D.C.³ Goudreau, M.W.⁴ Lang, K.⁵ Rao, S.B.⁶ Suel, T.⁷ Tsantilas, T.⁸ Bisseling, R.H.⁹

22
- 0008718728
- Tech. report, Oxford University Computing Laboratory, Oxford, UK
- (1998) Installation and User Guide for the Oxford BSP Toolset (vl.4) Implementation of BSPlib
- Hill, J.M.D.¹ Donaldson, S.R.² McEwan, A.³

23
- 0003554459
- Ph.D. thesis, Department of Mathematics, Utrecht University, Utrecht, The Netherlands
- (2000) Constructing Parallel Algorithms for Discrete Transforms: From FFTs to Fast Legendre Transforms
- Inda, M.A.¹

24
- 0008733096
- Preprint MPI/95-9, Max-Planck-Institut für Mathematik, Bonn, Germany
- (1995) A Polynomial Approach to Orthogonal Polynomial Transforms
- Maslen, D.K.¹

25
- 0030384796
- Scalability, portability and predictability: The BSP approach to parallel programming
- (1996) Fut. Gen. Comp. Syst. , vol.12 , pp. 265-272
- McColl, W.F.¹

26
- 0033377720
- Evaluation of fast spherical transforms for geophysical applications
- (1999) Geophys. J. Int. , vol.139 , pp. 547-555
- Lesur, V.¹ Gubbins, D.²

27
- 84875576429
- (1998) General purpose FFT (fast Fourier/cosine/sine transform) package
- Ooura, T.¹

28
- 0039631438
- G.-C. Rota, ed., Academic Press, Orlando, FL
- (1986) Fast eigenfunction transforms, in Science and Computers , pp. 23-30
- Orszag, S.A.¹

29
- 0004161838
- Cambridge University Press, Cambridge, UK
- (1992) Numerical Recipes in C: The Art of Scientific Computing, 2nd ed.
- Press, W.H.¹ Teukolsky, S.A.² Vetterling, W.T.³ Flannery, B.P.⁴

30
- 0003685404
- Academic Press, San Diego, CA
- (1990) Discrete Cosine Transform: Algorithms, Advantages, and Applications
- Rao, K.R.¹ Yip, P.²

31
- 85160678519
- Tech. report TR-34-95, Center for Research in Computing Technology, Harvard University, Cambridge, MA
- (1995) Parallel Discrete Cosine Transforms: Theory and Practice
- Shalaby, N.¹

32
- 85160650289
- Hierarchical load balancing for parallel fast Legendre transforms
- M. Heath et al., eds., SIAM, Philadelphia
- (1997) Proceedings of the 8th SIAM Conference on Parallel Processing for Scientific Computing
- Shalaby, N.¹ Johnsson, S.L.²

33
- 84966222128
- A polynomial approach to fast algorithms for discrete Fourier-cosine and Fourier-sine transforms
- (1991) Math. Comp. , vol.56 , pp. 281-296
- Steidl, G.¹ Tasche, M.²

34
- 0025467711
- A bridging model for parallel computation
- (1990) Comm. ACM , vol.33 , pp. 103-111
- Valiant, L.G.¹

35
- 0003417587
- SIAM, Philadelphia
- (1992) Computational Frameworks for the Fast Fourier Transform
- Van Loan, C.¹

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.