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Volumn 12, Issue 2, 1997, Pages 119-138

On a High Order Numerical Method for Solving Partial Differential Equations in Complex Geometries

Author keywords

Bernoulli polynomials; Dirichlet boundary conditions; Discontinuous functions; Fourier series; Hyperbolic equations; Parabolic equations

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; COMPUTATIONAL GEOMETRY; PARTIAL DIFFERENTIAL EQUATIONS; POLYNOMIALS; PROBLEM SOLVING;

EID: 0031153138     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1025617731306     Document Type: Article
Times cited : (8)

References (13)
  • 3
    • 84968510025 scopus 로고
    • Accurate and efficient reconstruction of discontinuous functions from truneated series expansions
    • Eckhoff, K. S. (1993). Accurate and efficient reconstruction of discontinuous functions from truneated series expansions, Math. Comp. 61, 745-763.
    • (1993) Math. Comp. , vol.61 , pp. 745-763
    • Eckhoff, K.S.1
  • 4
    • 21844495790 scopus 로고
    • Accurate reconstructions of functions of finite regularity from truncated Fourier series expansions
    • Eckhoff, K. S. (1995) Accurate reconstructions of functions of finite regularity from truncated Fourier series expansions, Math. Comp. 64, 671-690.
    • (1995) Math. Comp. , vol.64 , pp. 671-690
    • Eckhoff, K.S.1
  • 7
    • 0002193620 scopus 로고
    • Numerical Analysis of Spectral Methods: Theory and Applications
    • SIAM. Philadelphia, Pennsylvania
    • Gottlieb, D., and Orszag, S. A. (1977). Numerical Analysis of Spectral Methods: Theory and Applications, CBMS-NSF Regional Conf. Series in Applied Mathematics Vol. 26. SIAM. Philadelphia, Pennsylvania.
    • (1977) CBMS-NSF Regional Conf. Series in Applied Mathematics , vol.26
    • Gottlieb, D.1    Orszag, S.A.2
  • 11
    • 0040275747 scopus 로고
    • Computational techniques based on the Lanczos representation
    • Lyness, J. N. (1974). Computational techniques based on the Lanczos representation, Math. Comp. 28, 81-123.
    • (1974) Math. Comp. , vol.28 , pp. 81-123
    • Lyness, J.N.1
  • 12
    • 1542639311 scopus 로고
    • A pseudo-spectral FFT technique for nonperiodic problems
    • Roache, P. J. (1978). A pseudo-spectral FFT technique for nonperiodic problems, J. Comp. Phys. 27, 204-220.
    • (1978) J. Comp. Phys. , vol.27 , pp. 204-220
    • Roache, P.J.1
  • 13
    • 84953751498 scopus 로고
    • Cambridge University Press, Cambridge
    • Zygmund, A. (1968). Trigonometric Series, Vol. I. Cambridge University Press, Cambridge.
    • (1968) Trigonometric Series , vol.1
    • Zygmund, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.