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Volumn 1389, Issue , 2011, Pages 1315-1318

Implicit-explicit Runge-Kutta schemes for hyperbolic systems in the diffusion limit

Author keywords

diffusion equations; hyperbolic conservation laws with sources; IMEX Runge Kutta methods; stiff systems

Indexed keywords


EID: 81855167741     PISSN: 0094243X     EISSN: 15517616     Source Type: Conference Proceeding    
DOI: 10.1063/1.3637861     Document Type: Conference Paper
Times cited : (3)

References (9)
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  • 2
    • 84988695229 scopus 로고    scopus 로고
    • On an class of uniformly accurate IMEX Runge-Kutta schemes and application to hyperbolic systems with relaxation
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    • (2009) SIAM J. Sci. Comput. , vol.31 , Issue.3 , pp. 1926-1945
    • Boscarino, S.1    Russo, G.2
  • 4
    • 0003312809 scopus 로고
    • Solving Ordinary Differential Equation II: Stiff and Differential Algebraic Problems
    • Springer-Verlag Second revised edition
    • E. Hairer, G. Wanner, Solving Ordinary Differential Equation II: stiff and Differential Algebraic Problems. Springer Series in Comput. Mathematics, Vol. 14, Springer-Verlag 1991, Second revised edition 1996.
    • (1991) Springer Series in Comput. Mathematics , vol.14
    • Hairer, E.1    Wanner, G.2
  • 5
    • 0000287554 scopus 로고    scopus 로고
    • Numerical Schemes for Hyperbolic Systems of Conservation Laws with Stiff Diffusive Relaxation
    • G. Naldi, and L. Pareschi, Numerical Schemes for Hyperbolic Systems of Conservation Laws with Stiff Diffusive Relaxation, J. on Numer. Anal., 37 (2000), pp. 1246-1270.
    • (2000) J. on Numer. Anal. , vol.37 , pp. 1246-1270
    • Naldi, G.1    Pareschi, L.2
  • 6
    • 81855192847 scopus 로고    scopus 로고
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    • 2000
    • M. Jin, L. Pareschi, G. Toscani Diffusive relaxation for multiscale discrete velocity Kinetic Equation. SIAM J. Num. Anal. Vol. 37, No. 4 (2000), pp. 1246-1270 2503-2504 (2000).
    • (2000) SIAM J. Num. Anal. , vol.37 , Issue.4
    • Jin, M.1    Pareschi, L.2    Toscani, G.3
  • 8
    • 84990689276 scopus 로고
    • Hyperbolic conservations laws with stiff relaxation therms and entropy
    • G. Q. Chen, D. Levermore, T. P. Liu, Hyperbolic conservations laws with stiff relaxation therms and entropy. Comm. Pure Appl. Math., 47, (1994), pp. 787-830.
    • (1994) Comm. Pure Appl. Math. , vol.47 , pp. 787-830
    • Chen, G.Q.1    Levermore, D.2    Liu, T.P.3
  • 9
    • 0000034725 scopus 로고    scopus 로고
    • Essentially Non Oscillatory and Weighted Essentially Non Oscillatory Schemes for Hyperbolic Conservation Laws, in advance numerical approximation of nonlinear hyperbolic equations
    • C. W. Shu, Essentially Non Oscillatory and Weighted Essentially Non Oscillatory Schemes for Hyperbolic Conservation Laws, in advance numerical approximation of nonlinear hyperbolic equations, Lecture Notes in Mathematics, 1697, (2000).
    • (2000) Lecture Notes in Mathematics , vol.1697
    • Shu, C.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.