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Volumn 38, Issue 2, 1998, Pages 293-314

On the implementation of boundary conditions for the method of lines

Author keywords

Boundary conditions; Difference approximation; Hyperbolic system; Method of lines

Indexed keywords


EID: 0038208807     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02512369     Document Type: Article
Times cited : (11)

References (13)
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  • 2
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  • 3
    • 84966204923 scopus 로고
    • Scheme-independent stability criteria for difference approximations of hyperbolic initial-boundary value problems. ii
    • M. Goldberg and E. Tadmor, Scheme-independent stability criteria for difference approximations of hyperbolic initial-boundary value problems. ii., Math. Comp., 36 (1981), pp. 605-626.
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    • Goldberg, M.1    Tadmor, E.2
  • 5
    • 0001241567 scopus 로고    scopus 로고
    • A stable penalty method for the compressible Navier-Stokes equations. I
    • J. Hesthaven and D. Gottlieb, A stable penalty method for the compressible Navier-Stokes equations. I, SIAM J. Sci. Comp., 17 (1996), pp. 579-612.
    • (1996) SIAM J. Sci. Comp. , vol.17 , pp. 579-612
    • Hesthaven, J.1    Gottlieb, D.2
  • 6
    • 0003279949 scopus 로고
    • Finite element and finite difference methods for hyperbolic partial differential equations
    • C. de Boor, ed., Academic Press, New York
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    • (1974) Mathematical Aspects of Finite Elements in Partial Differential Equations
    • Kreiss, H.-O.1    Scherer, G.2
  • 7
    • 0001619048 scopus 로고
    • On the stability definition of difference approximations for the initial boundary value problem
    • H.-O. Kreiss and L. Wu, On the stability definition of difference approximations for the initial boundary value problem, Appl. Numer. Math., 12 (1993), pp. 213-227.
    • (1993) Appl. Numer. Math. , vol.12 , pp. 213-227
    • Kreiss, H.-O.1    Wu, L.2
  • 8
    • 0345869152 scopus 로고    scopus 로고
    • From semi-discrete to fully-discrete: Stability of Runge-Kutta schemes by the energy method
    • CAM, Department of Mathematics, UCLA, Los Angeles, CA
    • D. Levy and E. Tadmor, From semi-discrete to fully-discrete: Stability of Runge-Kutta schemes by the energy method, Tech. Report 97-3, CAM, Department of Mathematics, UCLA, Los Angeles, CA, 1997.
    • (1997) Tech. Report 97-3
    • Levy, D.1    Tadmor, E.2
  • 9
    • 84964442545 scopus 로고
    • Summation by parts, projections, and stability I
    • P. Olsson, Summation by parts, projections, and stability I, Math. Comp., 64 (1995), pp. 1035-1065.
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  • 10
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    • Summation by parts, projections, and stability II
    • P. Olsson, Summation by parts, projections, and stability II, Math. Comp., 64 (1995), pp. 1473-1493.
    • (1995) Math. Comp. , vol.64 , pp. 1473-1493
    • Olsson, P.1
  • 11
    • 0013500237 scopus 로고
    • Summation by parts, projections, and stability. III
    • RIACS, Moffet Fields, CA
    • P. Olsson, Summation by parts, projections, and stability. III, Tech. Report 95.06, RIACS, Moffet Fields, CA, 1995.
    • (1995) Tech. Report 95.06
    • Olsson, P.1
  • 12
    • 0002449864 scopus 로고
    • Summation by parts for finite difference approximations for d/dx
    • B. Strand, Summation by parts for finite difference approximations for d/dx, J. Comput. Phys., 110 (1994), pp. 47-67.
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    • Strand, B.1
  • 13
    • 0009230365 scopus 로고    scopus 로고
    • Numerical studies of hyperbolic IBVP with high-order finite difference operators satisfying a summation by parts rule
    • Department of Scientific Computing, Uppsala University, Part of PhD thesis
    • B. Strand, Numerical studies of hyperbolic IBVP with high-order finite difference operators satisfying a summation by parts rule, Tech. Report 176, Department of Scientific Computing, Uppsala University, 1996. Part of PhD thesis.
    • (1996) Tech. Report 176
    • Strand, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.