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Volumn 31, Issue 11, 1998, Pages 2691-2704

Convergence acceleration of fourier series by analytical and numerical application of poisson's formula

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EID: 0032549395     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/31/11/016     Document Type: Article
Times cited : (6)

References (44)
  • 1
    • 36849137143 scopus 로고
    • Discreteness-of-charge adsorption micropotentials. I. Infinite imaging
    • Barlow C A Jr and Macdonald J R 1964 Discreteness-of-charge adsorption micropotentials. I. Infinite imaging J. Chem. Phys. 40 1535-49
    • (1964) J. Chem. Phys. , vol.40 , pp. 1535-1549
    • Barlow C.A., Jr.1    Macdonald, J.R.2
  • 2
    • 0242620817 scopus 로고
    • Discreteness-of-change adsorption micropotentials. II. Single imaging
    • _1965 Discreteness-of-change adsorption micropotentials. II. Single imaging J. Chem. Phys. 43 2575-97
    • (1965) J. Chem. Phys. , vol.43 , pp. 2575-2597
  • 3
    • 0040275750 scopus 로고
    • A united approach to accelerating trigonometric expansions
    • Baszenski G, Delvos F-J and Tasche M 1995 A united approach to accelerating trigonometric expansions Comput. Math. Appl. 30 33-49
    • (1995) Comput. Math. Appl. , vol.30 , pp. 33-49
    • Baszenski, G.1    Delvos, F.-J.2    Tasche, M.3
  • 5
    • 84968505704 scopus 로고
    • A note on the evaluation of Chebyshev series
    • Clenshaw C W 1955 A note on the evaluation of Chebyshev series Math. Tables Aids Comput. 9 118-20
    • (1955) Math. Tables Aids Comput. , vol.9 , pp. 118-120
    • Clenshaw, C.W.1
  • 6
    • 84968470212 scopus 로고
    • An algorithm for the machine calculation of complex Fourier series
    • Cooley J W and Tukey J W 1965 An algorithm for the machine calculation of complex Fourier series Math. Comput. 19 297-305
    • (1965) Math. Comput. , vol.19 , pp. 297-305
    • Cooley, J.W.1    Tukey, J.W.2
  • 8
    • 0029158363 scopus 로고
    • On a method to evaluate Fourier-Bessel series with poor convergence properties and its application to linearized supersonic free jet flow
    • Dillmann A and Grabitz G 1995 On a method to evaluate Fourier-Bessel series with poor convergence properties and its application to linearized supersonic free jet flow Quart. J. Appl. Math. 53 335-52
    • (1995) Quart. J. Appl. Math. , vol.53 , pp. 335-352
    • Dillmann, A.1    Grabitz, G.2
  • 9
    • 0001181359 scopus 로고
    • Computation of spherical harmonic expansions via FFTs
    • Dilts G A 1985 Computation of spherical harmonic expansions via FFTs J. Comput. Phys. 57 439-53
    • (1985) J. Comput. Phys. , vol.57 , pp. 439-453
    • Dilts, G.A.1
  • 10
    • 0001643843 scopus 로고
    • Error analysis of an algorithm for summing certain finite series
    • Elliott D 1968 Error analysis of an algorithm for summing certain finite series J. Austral. Math. Soc. 8 213-21
    • (1968) J. Austral. Math. Soc. , vol.8 , pp. 213-221
    • Elliott, D.1
  • 11
    • 84977266737 scopus 로고
    • Die berechnung optischer und electrostatischer gitterpotentiale
    • Ewald P P 1921 Die Berechnung optischer und electrostatischer Gitterpotentiale Ann. Phys. 64 253-87
    • (1921) Ann. Phys. , vol.64 , pp. 253-287
    • Ewald, P.P.1
  • 12
    • 34250966994 scopus 로고
    • Untersuchungen über Fouriersche reihen
    • Fejér L 1904 Untersuchungen über Fouriersche Reihen Math. Ann. 58 51-69
    • (1904) Math. Ann. , vol.58 , pp. 51-69
    • Fejér, L.1
  • 13
    • 0000134680 scopus 로고
    • An error analysis of Goertzel's (Watt's) method for computing Fourier coefficients
    • Gentleman W M 1969 An error analysis of Goertzel's (Watt's) method for computing Fourier coefficients Comput. J. 12 160-5
    • (1969) Comput. J. , vol.12 , pp. 160-165
    • Gentleman, W.M.1
  • 14
    • 0002268541 scopus 로고
    • An algorithm for the evaluation of finite trigonometric series
    • Goertzel G 1958 An algorithm for the evaluation of finite trigonometric series Am. Math. Monthly 65 34-5
    • (1958) Am. Math. Monthly , vol.65 , pp. 34-35
    • Goertzel, G.1
  • 15
    • 0021373605 scopus 로고
    • Image buildup for the rectangular waveguide tensor Green's function
    • Grzesik J A 1984 Image buildup for the rectangular waveguide tensor Green's function IEEE Trans. Ant. Prop. AP-32 204-6
    • (1984) IEEE Trans. Ant. Prop. , vol.AP-32 , pp. 204-206
    • Grzesik, J.A.1
  • 17
    • 84990719446 scopus 로고
    • Some applications of nonlinear convergence accelerators
    • Homeier H H H 1993 Some applications of nonlinear convergence accelerators Int. J. Quantum Chem. 45 545-62
    • (1993) Int. J. Quantum Chem. , vol.45 , pp. 545-562
    • Homeier, H.H.H.1
  • 18
    • 84968502853 scopus 로고
    • Accelerating the convergence of trigonometric approximations
    • Jones W B and Hardy G 1970 Accelerating the convergence of trigonometric approximations Math. Comput. 24 547-60
    • (1970) Math. Comput. , vol.24 , pp. 547-560
    • Jones, W.B.1    Hardy, G.2
  • 19
    • 0025434556 scopus 로고
    • Efficient calculation of the free-space Green's function
    • Jorgenson R E and Mittra R 1990 Efficient calculation of the free-space Green's function IEEE Trans. Ant. Prop. 38 633-41
    • (1990) IEEE Trans. Ant. Prop. , vol.38 , pp. 633-641
    • Jorgenson, R.E.1    Mittra, R.2
  • 22
    • 84948301871 scopus 로고
    • Development of non-linear transformations for improving convergence of sequences
    • Levin D 1973 Development of non-linear transformations for improving convergence of sequences Int. J. Comput. Math. B 3 371-88
    • (1973) Int. J. Comput. Math. B , vol.3 , pp. 371-388
    • Levin, D.1
  • 23
    • 84966221125 scopus 로고
    • The calculation of fourier coefficients by the Möbius inversion of the poisson summation formula. Part I: Functions whose early derivatives are continuous
    • Lyness J N 1970 The calculation of Fourier coefficients by the Möbius inversion of the Poisson summation formula. Part I: Functions whose early derivatives are continuous Math. Comput. 24 101-35
    • (1970) Math. Comput. , vol.24 , pp. 101-135
    • Lyness, J.N.1
  • 24
    • 0040275747 scopus 로고
    • Computational techniques based on the Lanczos representation
    • _1974 Computational techniques based on the Lanczos representation Math. Comput. 28 81-123
    • (1974) Math. Comput. , vol.28 , pp. 81-123
  • 25
    • 84975395994 scopus 로고
    • Discreteness-of-charge adsorption micropotentials. III. Dielectric-conductive imaging
    • Macdonald J R and Barlow C A Jr 1966 Discreteness-of-charge adsorption micropotentials. III. Dielectric-conductive imaging J. Electrochem. Soc. 113 978-92
    • (1966) J. Electrochem. Soc. , vol.113 , pp. 978-992
    • Macdonald, J.R.1    Barlow C.A., Jr.2
  • 26
    • 0039683944 scopus 로고
    • PhD Thesis University of Ottawa
    • Marshall S L 1986 PhD Thesis University of Ottawa
    • (1986)
    • Marshall, S.L.1
  • 27
    • 0026140221 scopus 로고
    • Mathematical analysis of interfacial current distribution in cylindrical porous electrodes
    • _1991 Mathematical analysis of interfacial current distribution in cylindrical porous electrodes J. Electrochem. Soc. 138 1040-7
    • (1991) J. Electrochem. Soc. , vol.138 , pp. 1040-1047
  • 28
    • 0026755059 scopus 로고
    • Calculation of electrode ohmic resistance effects in tube plating
    • _1992 Calculation of electrode ohmic resistance effects in tube plating J. Electrochem. Soc. 139 160-5
    • (1992) J. Electrochem. Soc. , vol.139 , pp. 160-165
  • 29
    • 0008864357 scopus 로고
    • Analysis of molecular polarization and interaction in adsorbed monolayers at interfaces. Part 3: Ionic adsorption isotherm with mean-field treatment of interactions involving ions and dipoles
    • Marshall S L and Conway B E 1992a Analysis of molecular polarization and interaction in adsorbed monolayers at interfaces. Part 3: Ionic adsorption isotherm with mean-field treatment of interactions involving ions and dipoles J. Electroanal. Chem. 337 45-66
    • (1992) J. Electroanal. Chem. , vol.337 , pp. 45-66
    • Marshall, S.L.1    Conway, B.E.2
  • 30
    • 0008862787 scopus 로고
    • Analysis of molecular polarization and interaction in adsorbed monolayers at interfaces. Part 4: Madelung constants for hexagonal lattices of adsorbed ions and dipoles
    • _1992b Analysis of molecular polarization and interaction in adsorbed monolayers at interfaces. Part 4: Madelung constants for hexagonal lattices of adsorbed ions and dipoles J. Electroanal. Chem. 337 67-89
    • (1992) J. Electroanal. Chem. , vol.337 , pp. 67-89
  • 31
    • 0027588698 scopus 로고
    • Calculation of ohmic resistance effects in rectangular electrodes of finite thickness
    • Marshall S L and Wolff S K 1993 Calculation of ohmic resistance effects in rectangular electrodes of finite thickness J. Appl. Electrochem. 23 443-51
    • (1993) J. Appl. Electrochem. , vol.23 , pp. 443-451
    • Marshall, S.L.1    Wolff, S.K.2
  • 32
    • 0032316417 scopus 로고    scopus 로고
    • Analysis of terminal effects in rectangular electrochemical cells
    • _1998 Analysis of terminal effects in rectangular electrochemical cells Electrochim. Acta 43 405-15
    • (1998) Electrochim. Acta , vol.43 , pp. 405-415
  • 34
    • 0030195495 scopus 로고    scopus 로고
    • A convergence acceleration method of Fourier series
    • Oleksy Cz 1996 A convergence acceleration method of Fourier series Comput. Phys. Commun. 96 17-26
    • (1996) Comput. Phys. Commun. , vol.96 , pp. 17-26
    • Oleksy, Cz.1
  • 35
    • 0000502153 scopus 로고
    • An error analysis of the modified Clenshaw method for evaluating Chebyshev and Fourier series
    • Oliver J 1977 An error analysis of the modified Clenshaw method for evaluating Chebyshev and Fourier series J. Inst. Maths. Appl. 20 379-91
    • (1977) J. Inst. Maths. Appl. , vol.20 , pp. 379-391
    • Oliver, J.1
  • 37
    • 0004293403 scopus 로고
    • (Schaum outline) (New York: McGraw-Hill)
    • Scheid F 1968 Numerical Analysis (Schaum outline) (New York: McGraw-Hill)
    • (1968) Numerical Analysis
    • Scheid, F.1
  • 38
    • 84966238016 scopus 로고
    • Accelerating the convergence of eigenfunction expansions
    • Shaw J K, Johnson L W and Riess R D 1976 Accelerating the convergence of eigenfunction expansions Math. Comput. 30 469-77
    • (1976) Math. Comput. , vol.30 , pp. 469-477
    • Shaw, J.K.1    Johnson, L.W.2    Riess, R.D.3
  • 39
    • 84968476219 scopus 로고
    • Numerical comparisons of nonlinear convergence accelerators
    • Smith D A and Ford W F 1982 Numerical comparisons of nonlinear convergence accelerators Math. Comput. 38 481-99
    • (1982) Math. Comput. , vol.38 , pp. 481-499
    • Smith, D.A.1    Ford, W.F.2
  • 40
    • 0012678117 scopus 로고
    • (Schaum Outline Series) (New York: McGraw-Hill)
    • Spiegel M R 1974 Complex Variables (Schaum Outline Series) (New York: McGraw-Hill)
    • (1974) Complex Variables
    • Spiegel, M.R.1
  • 41
    • 84985376326 scopus 로고
    • Zur konvergenzbeschleunigung von Fourier-Reihen
    • Tasche M 1979 Zur Konvergenzbeschleunigung von Fourier-Reihen Math. Nachr. 90 123-34
    • (1979) Math. Nachr. , vol.90 , pp. 123-134
    • Tasche, M.1
  • 42
    • 0001205614 scopus 로고
    • A method for the evaluation of some lattice sums occurring in calculations of physical properties of crystals
    • van der Hoff B M E and Benson G C 1953 A method for the evaluation of some lattice sums occurring in calculations of physical properties of crystals Can. J. Phys. 31 1087-94
    • (1953) Can. J. Phys. , vol.31 , pp. 1087-1094
    • Van Der Hoff, B.M.E.1    Benson, G.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.