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Original Articles

A linearly implicit one-step time integration scheme for nonlinear hyperbolic equations

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Pages 349-361 | Received 15 Dec 1999, Published online: 19 Mar 2007

References

  • Debnath , L. 1997 . Nonlinear Partial Differential Equations for Scientists and Engineers , Boston : Birkhauser .
  • Fried , I. 1979 . Numerical Solution of Differential Equations , New York : Academic Press .
  • Mitchell , A.R. and Grifiths . 1980 . The Finite Difference Method in Partial Differential Equations , New York : John Wiley .
  • Morton , K.W. and Mayers , D.F. 1994 . Numerical Solution of Partial Differential Equations , Cambridge : Cambridge Univ. Press .
  • Smith , G.D. 1985 . Numerical Solution of Partial Differential Equations: Finite Difference Methods , Oxford : Oxford Univ. Press .
  • Thomas , J.W. 1995 . Numerical Partial Differential Equations: Finite Difference Methods , New York : Springer-Verlag .
  • Van Der Houwen , P.J. and Sommeijer , B.P. 1987 . Explicit Runge-Kutta(-Nystrom) methods with reduced phase errors for computing oscillating solutions . SIAM J. Numer.Anal , 24 : 595 – 617 .

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