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Volumn 48, Issue 4, 2008, Pages 701-723

The chebop system for automatic solution of differential equations

Author keywords

Chebfun; Chebop; Chebyshev points; Differential equations; Object oriented Matlab; Spectral method

Indexed keywords


EID: 57649138134     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10543-008-0198-4     Document Type: Article
Times cited : (83)

References (20)
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  • 4
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    • Z. Battles L.N. Trefethen 2004 An extension of Matlab to continuous functions and operators SIAM J. Sci. Comput. 25 1743 1770
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    • Battles, Z.1    Trefethen, L.N.2
  • 7
    • 0030375661 scopus 로고    scopus 로고
    • An efficient spectral method for ordinary differential equations with rational function coefficients
    • E.A. Coutsias T. Hagstrom D. Torres 1996 An efficient spectral method for ordinary differential equations with rational function coefficients Math. Comput. 65 611 635
    • (1996) Math. Comput. , vol.65 , pp. 611-635
    • Coutsias, E.A.1    Hagstrom, T.2    Torres, D.3
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    • Spectral integration and two-point boundary value problems
    • L. Greengard 1991 Spectral integration and two-point boundary value problems SIAM J. Numer. Anal. 28 1071 1080
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 1071-1080
    • Greengard, L.1
  • 13
    • 33846126316 scopus 로고    scopus 로고
    • A spectral collocation method based on integrated Chebyshev polynomials for two-dimensional biharmonic boundary-value problems
    • N. Mai-Duy R.I. Tanner 2007 A spectral collocation method based on integrated Chebyshev polynomials for two-dimensional biharmonic boundary-value problems J. Comput. Appl. Math. 201 30 47
    • (2007) J. Comput. Appl. Math. , vol.201 , pp. 30-47
    • Mai-Duy, N.1    Tanner, R.I.2
  • 15
    • 84959707122 scopus 로고
    • Accurate solution of the Orr-Sommerfeld equation
    • S.A. Orszag 1971 Accurate solution of the Orr-Sommerfeld equation J. Fluid Mech. 50 689 703
    • (1971) J. Fluid Mech. , vol.50 , pp. 689-703
    • Orszag, S.A.1
  • 16
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    • Piecewise smooth chebfuns
    • submitted
    • R. Pachón, R. Platte, and L. N. Trefethen, Piecewise smooth chebfuns, IMA J. Numer. Anal., submitted.
    • IMA J. Numer. Anal.
    • Pachón, R.1
  • 17
    • 34547761144 scopus 로고    scopus 로고
    • A rational spectral collocation method with adaptively determined grid points
    • T.W. Tee L.N. Trefethen 2006 A rational spectral collocation method with adaptively determined grid points SIAM J. Sci. Comput. 28 1798 1811
    • (2006) SIAM J. Sci. Comput. , vol.28 , pp. 1798-1811
    • Tee, T.W.1    Trefethen, L.N.2
  • 18
    • 27644532196 scopus 로고
    • Level-spacing distributions and the Airy kernel
    • C.A. Tracy H. Widom 1994 Level-spacing distributions and the Airy kernel Comm. Math. Phys. 159 151 174
    • (1994) Comm. Math. Phys. , vol.159 , pp. 151-174
    • Tracy, C.A.1    Widom, H.2
  • 20
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    • Computing numerically with functions instead of numbers
    • L.N. Trefethen 2007 Computing numerically with functions instead of numbers Math. Comput. Sci. 1 9 19
    • (2007) Math. Comput. Sci. , vol.1 , pp. 9-19
    • Trefethen, L.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.