Explicit high order methods for the numerical integration of periodic initial-value problems

 
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1998 (EN)

Explicit high order methods for the numerical integration of periodic initial-value problems (EN)

Simos, TE (EN)
Tsitouras, Ch (EN)

Two explicit two-step hybrid methods of order 7 and 8 for the numerical integration of second order periodic initial-value problems are developed in this paper. The first of them has a large interval of periodicity and the other a minimal phase-lag. Each of them has seven stages per iteration. Numerical and theoretical results obtained for several well-known problems show the efficiency of the new methods. (C) 1998 Elsevier Science Inc. All rights reserved. (EN)

journalArticle (EN)

Interval of periodicity (EN)
MINIMAL PHASE-LAG (EN)
Explicit methods (EN)
Orbital problems (EN)
SCHRODINGER-EQUATION (EN)
Oscillating solutions (EN)
High-order method (EN)
Phase-lag (EN)
Mathematics, Applied (EN)
FORMULAS (EN)
Second order differential equations (EN)


Applied Mathematics and Computation (EN)

English

1998 (EN)

10.1016/S0096-3003(97)10086-8 (EN)
1 (EN)
15 (EN)
26 (EN)
ISI:000074533200002 (EN)
0096-3003 (EN)
95 (EN)

ELSEVIER SCIENCE INC (EN)




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