Wavelets generated by using discrete singular convolution kernels

Journal of Physics A: Mathematical and General

Volumn 33, Issue 47, 2000, Pages 8577-8596

  Wei, G W ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034362597     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/33/47/317     Document Type: Article

References (59)

1. Lanczos C 1938 J. Math. Phys. 17 123
2. Harris D O, Engerholm G G and Gwinn W D 1965 J. Chem. Phys. 43 1515
3. Cooley J W and Tukey J W 1965 Math. Comput. 19 297
4. Finlayson B A and Scriven L E 1966 Appl. Mech. Rev. 19 735
5. Orszag S A Stud. Appl. Math. 51 253
6. Kreiss H O and Oliger J 1972 Tellus 24 199
7. Finlayson B A 1972 The Method of Weighted Residuals and Variational Principles (New York: Academic)
8. Fornberg B 1973 Math. Comput. 27 45
9. Lill J V, Parker G A and Light L C 1984 Chem. Phys. Lett. 89 483
10. Kosloff D and Baysal E 1982 Geophysics 47 1402
11. Hutson J M and Le Roy R J 1985 J. Phys. B: At. Mol Phys. 83 1197
12. Friesner R 1985 Chem. Phys. Lett. 116 39
13. Yang W and Peet A C 1988 Chem. Phys. Lett. 153 98
14. Hoffman D K, Nayar N, Sharafeddin O A and Kouri D J 1991 J. Phys. Chem. 95 8299
15. Colbert D T and Miller W H 1992 J. Phys. Chem. 96 1982
16. Fornberg B 1996 A Practical Guide to Pseudospectral Methods (Cambridge: Cambridge University Press)
17. Wei G W, Zhang D S, Kouri D J and Hoffman D K 1997 Phys. Rev. Lett. 79 775
18. Wei G W 1998 Chem. Phys. Lett. 296 215
19. Hu X G, Ho T S and Rabitz H 1998 Comput. Phys. Commun. 113 168
20. Kadanoff L P 1997 Phys. Today 50 11
21. Ablowitz M J, Herbst B M and Schober C 1996 J. Comput. Phys. 126 299
22. Wei G W 1999 J. Chem. Phys. 110 8930
23. Wei G W 2000 Physica D 137 247
24. Wei G W 2000 J. Phys. B: At. Mol. Opt. Phys. 33 343
25. Wei G W 2000 J. Phys. A: Math. Gen. 33 4935
26. Schwartz L 1951 Théore des Distributions (Paris: Hermann)
27. Wei GW 1999 IEEE Proc. of Asia Pacific Microwave Conf. (Singapore) p 562
28. Wei G W 2000 Comput. Methods Appl. Mech. Eng. at press
29. Wei G W 1999 Computational Mechanics for the Next Millennium ed C M Wang, K H Lee and K K Ang (New York: Elsevier) p 1049
30. Wei G W 2000 J. Sound Vib. submitted
31. Wan D C and Wei G W 1999 Int. J. Numer. Methods Fluids submitted
32. Wan D C and Wei G W 1999 Comput. Methods Appl. Mech. Eng. submitted
33. Wei G W 1999 IEEE Signal Process. Lett. 6 165
34. Guan S, Lai C H and Wei G W 2000 Physica D at press
35. Meyer Y 1992 Wavelets and Operators (Cambridge Stud. Adv. Math. vol 37) (Cambridge: Cambodge University Press)
36. Daubechies I 1988 Commun. Pure Appl. Math. 41 909 Daubechies I 1992 Ten Lectures on Wavelets (CBMS-NSF Series in Applied Mathematics) (Philadephia: SIAM)
37. Daubechies I 1988 Commun. Pure Appl. Math. 41 909 Daubechies I 1992 Ten Lectures on Wavelets (CBMS-NSF Series in Applied Mathematics) (Philadephia: SIAM)
38. Mallat S G 1989 Trans. Am. Math. Soc. 315 69
39. Chui C K 1992 An Introduction to Wavelets (San Diego: Academic)
40. Kaiser G 1994 A Friendly Guide To Wavelets (Boston: Birkhäuser)
41. Holschneider M, Kronland-Martinet R, Morlet J and Tachamitchian Ph 1988 Wavelets, Time-Frequency Methods and Phase Space ed J M Combes, Grossmann and Ph Tachamitchian (Berlin: Springer) pp 286-97
42. Holschneider M 1995 Wavelets, An Analysis Tool (Oxford: Oxford Science Publications)
43. Hernandez E and Weiss G 1996 A First Course on Wavelets (Boca Raton, FL: Chemical Rubber Company)
44. Wickerhauser M V 1994 Adapted Wavelet Analysis from Theory to Software (Wellesley, MA: A. K. Peters)
45. Vetterli M and Kovacevic J 1995 Wavelets and Subband Coding (Englewood Cliffs, NJ: Prentice-Hall)
46. Meyer Y and Coifman R 1997 Wavelets, Calderón-Zygmund and Multilinear Operators (Cambridge Stud. Adv. Math. vol 48) (Cambridge: Cambridge University Press)
47. See, for example, Szu H H 1997 Wavelet Applications IV (SPIE Proc.) (Orlando)
48. John S 1998 J. Math. Phys. 39 569
49. Beylkin G and Keiser J M 1996 J. Comput. Phys. 132 233
50. Korevaar J 1955 Ned. Akad. Westensh Proc. Ser. A 58 368 Korevaar J 1955 Ned. Akad. Westensh Proc. Ser. A 58 483 Korevaar J 1955 Ned. Akad. Westensh Proc. Ser. A 58 663 Korevaar J 1968 Mathematical Methods vol 1 (New York: Academic)
51. Korevaar J 1955 Ned. Akad. Westensh Proc. Ser. A 58 368 Korevaar J 1955 Ned. Akad. Westensh Proc. Ser. A 58 483 Korevaar J 1955 Ned. Akad. Westensh Proc. Ser. A 58 663 Korevaar J 1968 Mathematical Methods vol 1 (New York: Academic)
52. Korevaar J 1955 Ned. Akad. Westensh Proc. Ser. A 58 368 Korevaar J 1955 Ned. Akad. Westensh Proc. Ser. A 58 483 Korevaar J 1955 Ned. Akad. Westensh Proc. Ser. A 58 663 Korevaar J 1968 Mathematical Methods vol 1 (New York: Academic)
53. Korevaar J 1955 Ned. Akad. Westensh Proc. Ser. A 58 368 Korevaar J 1955 Ned. Akad. Westensh Proc. Ser. A 58 483 Korevaar J 1955 Ned. Akad. Westensh Proc. Ser. A 58 663 Korevaar J 1968 Mathematical Methods vol 1 (New York: Academic)
54. Walter G G and Blum J 1977 Ann. Stat. 7 328
55. Winter B B 1975 Ann. Stat. 3 759
56. Wahba G 1975 Ann. Stat. 3 15
57. Kronmal R and Tarter M 1968 J. Am. Stat. Assoc. 63 925
58. Bohm A 1993 Quantum Mechanics 3rd edn (Berlin: Springer)
59. Hou Z J and Wei G W 2000 Pattern Recognition submitted