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Volumn 145, Issue 1, 2003, Pages 97-116

Collocation discretizations of the transport equation with radial basis functions

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

EID: 0037697150     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00472-1     Document Type: Article
Times cited : (16)

References (17)
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  • 4
    • 0002434097 scopus 로고    scopus 로고
    • Solving partial differential equations by collocation with radial basis functions
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    • Fasshauer G. Solving partial differential equations by collocation with radial basis functions. Méhauté A., Rabut C., Schumaker L.L. Surface Fitting and Multiresolution Methods. 1997;131-138 Vanderbilt University Press, Nashville, TN.
    • (1997) Surface Fitting and Multiresolution Methods , pp. 131-138
    • Fasshauer, G.1
  • 5
    • 0002245065 scopus 로고    scopus 로고
    • Solving partial differential equations by collocation using radial basis functions
    • Franke C., Schaback R. Solving partial differential equations by collocation using radial basis functions. Appl. Math. Computat. 93:1998;73-82.
    • (1998) Appl. Math. Computat. , vol.93 , pp. 73-82
    • Franke, C.1    Schaback, R.2
  • 6
    • 0006029837 scopus 로고
    • Approximation by periodic spline interpolants on uniform meshes
    • Golomb M. Approximation by periodic spline interpolants on uniform meshes. J. Approx. Theory. 1:1968;26-65.
    • (1968) J. Approx. Theory , vol.1 , pp. 26-65
    • Golomb, M.1
  • 8
    • 0025206382 scopus 로고
    • Theory and applications of the multiquadric-biharmonic method
    • Hardy R.L. Theory and applications of the multiquadric-biharmonic method. Comp. Math. Appl. 19:1990;163-208.
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    • Hardy, R.L.1
  • 9
    • 0031083851 scopus 로고    scopus 로고
    • A Multiquadric interpolation method for solving initial value problems
    • Hon Y.C., Mao X.Z. A Multiquadric interpolation method for solving initial value problems. Sci. Comp. 12(1):1997;51-55.
    • (1997) Sci. Comp. , vol.12 , Issue.1 , pp. 51-55
    • Hon, Y.C.1    Mao, X.Z.2
  • 10
    • 0025210711 scopus 로고
    • Multiquadrics - A scattered data approximation scheme with applications to computational fluid dynamics - II. Solutions to parabolic, hyperbolic and elliptic partial differential equations
    • Kansa E.J. Multiquadrics - a scattered data approximation scheme with applications to computational fluid dynamics - II. Solutions to parabolic, hyperbolic and elliptic partial differential equations. Comp. Math. Appl. 19:1990;147-161.
    • (1990) Comp. Math. Appl. , vol.19 , pp. 147-161
    • Kansa, E.J.1
  • 12
    • 0011576631 scopus 로고    scopus 로고
    • Recent developments in approximation via positive definite functions
    • C.K. Chui, Schumaker L.L. Nashville, TN: Vanderbilt University Press
    • Narcowich F.J. Recent developments in approximation via positive definite functions. Chui C.K., Schumaker L.L. Approximation Theory IX. vol. 2:1998;221-242 Vanderbilt University Press, Nashville, TN.
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    • Narcowich, F.J.1
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    • 2 -approximation orders of principal shift-invariant spaces generated by radial basis function
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  • 17
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.