On the stability of a two-step method for solving periodic IVPs

Applied Mathematics and Computation

Volumn 165, Issue 1, 2005, Pages 37-44

  Li, Qinghong ^a,b  

^a NANJING NORMAL UNIVERSITY   (China)

^b Chuzhou College   (China)

Author keywords

Interval of periodicity; P stability; Periodic initial value problem; Phase lag; Vector product quotient

Indexed keywords

DIFFERENTIAL EQUATIONS; FREQUENCIES; FUNCTIONS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; NUMERICAL ANALYSIS; STABILITY; VECTORS;

INTERVAL OF PERIODICITY; P-STABILITY; PERIODIC INITIAL VALUE PROBLEM; PHASE-LAG; VECTOR PRODUCT QUOTIENT;

PROBLEM SOLVING;

EID: 17444390469     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.04.092     Document Type: Article

References (8)

1. L. Brusa, and L. Nigro A one-step method for direct integration of structural dynamic equations Int. J. Numer. Meth. Eng. 15 1980 685 699
2. J.P. Coleman Numerical methods for y″ = f(x, y) via rational approximations for the cosine IMA J. Numer. Anal. 9 1989 145 165
3. E. Hairer Unconditionally stable explicit methods for parabolic equations Numer. Math. 35 1980 57 68
4. J.D. Lambert, and I.A. Watson Symmetric multistep methods for periodic initial value problems J. Inst. Math. Appl. 18 1976 189 202
5. Q.H. Li, and X.Y. Wu A two-step explicit P-stable method for solving second order initial value problems Appl. Math. Math. 138 2003 435 442
6. T.E. Simos, and P.S. Williams On finite difference methods for the solution of the Schrödinger equation Comput. Chem. 23 1999 513 554
7. P.J. van der Houwen, and B.P. Sommeijer Explicit Runge-Kutta(-Nyström) methods with reduced phase errors for computing oscillating solutions SIAM J. Numer. Anal. 24 1987 595 617
8. X.Y. Wu, and J.L. Xia The vector form of a sixth-order A-stable explicit one-step method for stiff problems Comput. Math. Appl. 39 2000 247 257