메뉴 건너뛰기




Volumn 200, Issue 1, 2007, Pages 287-296

A two-step explicit P-stable method of high phase-lag order for linear periodic IVPs

Author keywords

P stability; Phase lag order; Second order linear initial value problem; Vector product and quotient

Indexed keywords

ALGEBRA; FUNCTIONS; NUMERICAL ANALYSIS; ORDINARY DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; VECTORS;

EID: 33750934717     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.11.036     Document Type: Article
Times cited : (8)

References (20)
  • 1
    • 84966219697 scopus 로고
    • P-stable Obrechkoff methods with minimal phase-lag for periodic initial value problems
    • Ananthakrishnaiah U. P-stable Obrechkoff methods with minimal phase-lag for periodic initial value problems. Math. Comp. 49 (1987) 553-559
    • (1987) Math. Comp. , vol.49 , pp. 553-559
    • Ananthakrishnaiah, U.1
  • 2
    • 0019010803 scopus 로고
    • A one-step method for direct integration of structural dynamic equations
    • Brusa L., and Nigro L. A one-step method for direct integration of structural dynamic equations. Internat. J. Numer. Methods Engng. 15 (1980) 685-699
    • (1980) Internat. J. Numer. Methods Engng. , vol.15 , pp. 685-699
    • Brusa, L.1    Nigro, L.2
  • 5
    • 0001330331 scopus 로고
    • ″ = f (x, y) via rational approximations for the cosine
    • ″ = f (x, y) via rational approximations for the cosine. IMA J. Numer. Anal. 9 (1989) 145-165
    • (1989) IMA J. Numer. Anal. , vol.9 , pp. 145-165
    • Coleman, J.P.1
  • 6
    • 0000932450 scopus 로고
    • Unconditionally stable method for second order differential equations
    • Hairer E. Unconditionally stable method for second order differential equations. Numer. Math. 32 (1979) 373-379
    • (1979) Numer. Math. , vol.32 , pp. 373-379
    • Hairer, E.1
  • 8
    • 77958409581 scopus 로고
    • Symmetric multistep methods for periodic initial value problems
    • Lambert J.D., and Watson I.A. Symmetric multistep methods for periodic initial value problems. J. Inst. Math. Appl. 18 (1976) 189-202
    • (1976) J. Inst. Math. Appl. , vol.18 , pp. 189-202
    • Lambert, J.D.1    Watson, I.A.2
  • 9
    • 0037457715 scopus 로고    scopus 로고
    • A two-step explicit P-stable method for second order initial value problems
    • Li Q.H., and Wu X.Y. A two-step explicit P-stable method for second order initial value problems. Appl. Math. Comput. 138 (2003) 435-442
    • (2003) Appl. Math. Comput. , vol.138 , pp. 435-442
    • Li, Q.H.1    Wu, X.Y.2
  • 10
    • 1242264941 scopus 로고    scopus 로고
    • A two-step explicit P-stable method of high phase-lag order for second order initial value problems
    • Li Q.H., and Wu X.Y. A two-step explicit P-stable method of high phase-lag order for second order initial value problems. Appl. Math. Comput. 151 (2004) 17-26
    • (2004) Appl. Math. Comput. , vol.151 , pp. 17-26
    • Li, Q.H.1    Wu, X.Y.2
  • 12
    • 0000168727 scopus 로고
    • A four-step method for the numerical solution of the Schrödinger equation
    • Simos T.E. A four-step method for the numerical solution of the Schrödinger equation. J. Comput. Appl. Math. 30 (1990) 251-255
    • (1990) J. Comput. Appl. Math. , vol.30 , pp. 251-255
    • Simos, T.E.1
  • 13
    • 0040440161 scopus 로고
    • An explicit almost P-stable two-step method with phase-lag of order infinity for numerical integration of second order periodic initial value problems
    • Simos T.E. An explicit almost P-stable two-step method with phase-lag of order infinity for numerical integration of second order periodic initial value problems. Appl. Math. Comput. 49 (1992) 261-268
    • (1992) Appl. Math. Comput. , vol.49 , pp. 261-268
    • Simos, T.E.1
  • 14
    • 0030640645 scopus 로고    scopus 로고
    • A P-stable eighth-order method for the numerical integration of periodic initial value problems
    • Simos T.E., and Tsitouras Ch. A P-stable eighth-order method for the numerical integration of periodic initial value problems. J. Comput. Phys. 130 (1997) 123-128
    • (1997) J. Comput. Phys. , vol.130 , pp. 123-128
    • Simos, T.E.1    Tsitouras, Ch.2
  • 15
    • 0032064442 scopus 로고    scopus 로고
    • On a class of P-stable mono-implicit methods
    • Van Daele M., et al. On a class of P-stable mono-implicit methods. Appl. Numer. Math. 27 (1998) 69-82
    • (1998) Appl. Numer. Math. , vol.27 , pp. 69-82
    • Van Daele, M.1
  • 16
    • 0032068436 scopus 로고    scopus 로고
    • A sixth-order A-stable explicit one-step method for stiff systems
    • Wu X.Y. A sixth-order A-stable explicit one-step method for stiff systems. Comput. Math. Appl. 35 (1998) 59-64
    • (1998) Comput. Math. Appl. , vol.35 , pp. 59-64
    • Wu, X.Y.1
  • 17
    • 0034140908 scopus 로고    scopus 로고
    • The vector form of a sixth-order A-stable explicit one-step method for stiff problems
    • Wu X.Y., and Xia J.L. The vector form of a sixth-order A-stable explicit one-step method for stiff problems. Comput. Math. Appl. 39 3-4 (2000) 247-257
    • (2000) Comput. Math. Appl. , vol.39 , Issue.3-4 , pp. 247-257
    • Wu, X.Y.1    Xia, J.L.2
  • 19
    • 0037420943 scopus 로고    scopus 로고
    • New vector forms of elementary functions with Taylor series
    • Wu X.Y., and Xia J.L. New vector forms of elementary functions with Taylor series. Appl. Math. Comput. 141 (2003) 307-312
    • (2003) Appl. Math. Comput. , vol.141 , pp. 307-312
    • Wu, X.Y.1    Xia, J.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.