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Volumn 17, Issue 6, 2001, Pages 607-618

Linear stability analysis and fourth-order approximations at first time level for the two space dimensional mildly quasi-linear hyperbolic equations

Author keywords

Damped wave equation; First time level; Operator splitting; Pade' approximation; Quasi linear; Root mean square errors

Indexed keywords


EID: 0035498904     PISSN: 0749159X     EISSN: None     Source Type: Journal    
DOI: 10.1002/num.1029     Document Type: Article
Times cited : (15)

References (7)
  • 1
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    • High order difference schemes for the system of two space second order nonlinear hyperbolic equations with variable coefficients
    • R. K. Mohanty, M. K. Jain, and K. George, High order difference schemes for the system of two space second order nonlinear hyperbolic equations with variable coefficients, J Comp Appl Math 70 (1996), 231.
    • (1996) J Comp Appl Math , vol.70 , pp. 231
    • Mohanty, R.K.1    Jain, M.K.2    George, K.3
  • 2
    • 0032474606 scopus 로고    scopus 로고
    • Fourth order approximations at first time level, linear stability analysis and the numerical solution of multi-dimensional second order non-linear hyperbolic equations in polar coordinates
    • R. K. Mohanty, M. K. Jain, and K. George, Fourth order approximations at first time level, linear stability analysis and the numerical solution of multi-dimensional second order non-linear hyperbolic equations in polar coordinates, J Comp Appl Math 93 (1998), 1.
    • (1998) J Comp Appl Math , vol.93 , pp. 1
    • Mohanty, R.K.1    Jain, M.K.2    George, K.3
  • 3
    • 0035340039 scopus 로고    scopus 로고
    • Fourth order approximations for the three space dimensional certain mildly quasi-linear hyperbolic equations
    • R. K. Mohanty, U. Arora, and M. K. Jain, Fourth order approximations for the three space dimensional certain mildly quasi-linear hyperbolic equations, Numer Meth Partial Diff Eq 17 (2001), 277.
    • (2001) Numer Meth Partial Diff Eq , vol.17 , pp. 277
    • Mohanty, R.K.1    Arora, U.2    Jain, M.K.3
  • 4
    • 0031559381 scopus 로고    scopus 로고
    • 4 difference methods for a class of singular two space elliptic boundary value problem
    • 4 difference methods for a class of singular two space elliptic boundary value problem, J Comp Appl Math 81 (1997), 229.
    • (1997) J Comp Appl Math , vol.81 , pp. 229
    • Mohanty, R.K.1
  • 5
    • 0042082744 scopus 로고
    • Alternating direction implicit methods for hyperbolic differential equations
    • M. Lees, Alternating direction implicit methods for hyperbolic differential equations, J Soc Indust Appl Math 10 (1962), 610.
    • (1962) J Soc Indust Appl Math , vol.10 , pp. 610
    • Lees, M.1
  • 6
    • 0042850255 scopus 로고
    • High accuracy ADI methods for hyperbolic equations with variable coefficients
    • S. McKee, High accuracy ADI methods for hyperbolic equations with variable coefficients, J Inst Maths Appl 11 (1973), 105.
    • (1973) J Inst Maths Appl , vol.11 , pp. 105
    • McKee, S.1
  • 7
    • 0042522622 scopus 로고
    • Analytical linear stability criteria for the leap-frog, Dufort-Frankel method
    • B. C. Roisin, Analytical linear stability criteria for the leap-frog, Dufort-Frankel method, J Comp Phys 53 (1984), 227.
    • (1984) J Comp Phys , vol.53 , pp. 227
    • Roisin, B.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.