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Titolo: THE CONVERGENCE OF 2 NEWTON-LIKE METHODS FOR SOLVING BLOCK NONLINEAR EQUATIONS AND A CLASS OF R-POINT (R-ORDER A-STABLE ONE-BLOCK METHODS(1)ST)
Autore: ZHAO SS; ZHANG GF; WANG CY;
- Indirizzi:
- LANZHOU UNIV,DEPT MATH LANZHOU 730000 PEOPLES R CHINA GANSU UNIV TECHNOL,DEPT MECH & ELECT ENGN LANZHOU 730050 PEOPLES R CHINA
- Titolo Testata:
- Applied numerical mathematics
fascicolo: 1,
volume: 25,
anno: 1997,
pagine: 117 - 133
- SICI:
- 0168-9274(1997)25:1<117:TCO2NM>2.0.ZU;2-9
- Fonte:
- ISI
- Lingua:
- ENG
- Soggetto:
- STEP METHODS;
- Keywords:
- ONE-BLOCK METHODS; STIFF ODES; A-STABILITY; NEWTON-LIKE METHOD; PARALLEL COMPUTATION;
- Tipo documento:
- Article
- Natura:
- Periodico
- Settore Disciplinare:
- CompuMath Citation Index
- Science Citation Index Expanded
- Citazioni:
- 18
- Recensione:
- Indirizzi per estratti:
-
-
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- Citazione:
- S.S. Zhao et al., "THE CONVERGENCE OF 2 NEWTON-LIKE METHODS FOR SOLVING BLOCK NONLINEAR EQUATIONS AND A CLASS OF R-POINT (R-ORDER A-STABLE ONE-BLOCK METHODS(1)ST)", Applied numerical mathematics, 25(1), 1997, pp. 117-133
Abstract
In this paper, for a Newton-like method for solving block nonlinear equations arising in the numerical solution of stiff. ODEs y' = f(y), which involves a smaller quantity of computation, we prove that it is convergent and the convergence is independent of the stiffness of fly),and give the error estimate. Furthermore, we present a modified Newton-like method involving an even smaller quantity of computation in certain cases, and prove that the modified method is convergent and the convergence is independent of the stiffness of f(y) for constant coefficient linear ODEs. Secondly, for any positive integer r, we discuss and construct a class of r-point (r + 1)st-order A-stable one-block methods suitable for the solution of stiff ODEs. Finally, we put forward an implementation strategy combining this one-block method and the r-point rth-order A-stable one-block method of Zhao Shuangsuo and Zhang Guofeng (1997). The numerical tests show that the strategy is efficient. (C) 1997 Elsevier Science B.V.
ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 25/11/20 alle ore 18:28:50