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Volumn 43, Issue 3, 2005, Pages 987-1002

On the convergence of a general class of finite volume methods

Author keywords

Approximation orders; Finite volumes; Optimal recovery; Positive definite kernels

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; NUMERICAL ANALYSIS; OPTIMAL CONTROL SYSTEMS;

EID: 33646750313     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/040612993     Document Type: Article
Times cited : (7)

References (14)
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  • 4
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    • Iske, A.1    Sonar, T.2
  • 5
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    • Error estimates for scattered data interpolation on spheres
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    • Jetter, K.1    Stöckler, J.2    Ward, J.3
  • 6
    • 0035608775 scopus 로고    scopus 로고
    • Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature
    • H. N. MHASKAR, F. J. NARCOWICH, AND J. D. WARD, Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature, Math. Comp., 70 (2001), pp. 1113-1130.
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  • 7
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    • Sobolev bounds on functions with scattered zeros, with applications to radial basis function surface fitting
    • F. J. NARCOWICH, J. D. WARD, AND H. WENDLAND, Sobolev bounds on functions with scattered zeros, with applications to radial basis function surface fitting, Math. Comp., 74 (2005), pp. 743-763.
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    • Narcowich, F.J.1    Ward, J.D.2    Wendland, H.3
  • 8
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    • Inverse and saturation theorems for radial basis function interpolation
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    • (2002) Math. Comp. , vol.71 , pp. 669-681
    • Schaback, R.1    Wendland, H.2
  • 9
    • 0030490166 scopus 로고    scopus 로고
    • Optimal recovery using thin plate splines infinite volume methods for the numerical solution of hyperbolic conservation laws
    • T. SONAR, Optimal recovery using thin plate splines infinite volume methods for the numerical solution of hyperbolic conservation laws, IMA J. Numer. Anal., 16 (1996), pp. 549-581.
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    • Sonar, T.1
  • 10
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    • On the construction of essentially non-oscillatory finite volume approximations to hyperbolic conservation laws on general triangulations: Polynomial recovery, accuracy, and stencil selection
    • T. SONAR, On the construction of essentially non-oscillatory finite volume approximations to hyperbolic conservation laws on general triangulations: Polynomial recovery, accuracy, and stencil selection, Comput. Methods in Appl. Mech. Engrg., 140 (1997), pp. 157-181.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.