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961.
This paper deals with the iterative solution of stage equations which arise when some fully implicit Runge-Kutta methods,
in particular those based on Gauss, Radau and Lobatto points, are applied to stiff ordinary differential equations. The error
behaviour in the iterates generated by Newton-type and, particularly, by single-Newton schemes which are proposed for the
solution of stage equations is studied. We consider stiff systems y'(t) = f(t,y(t)) which are dissipative with respect to
a scalar product and satisfy a condition on the relative variation of the Jacobian of f(t,y) with respect to y, similar to
the condition considered by van Dorsselaer and Spijker in [7] and [17]. We prove new convergence results for the single-Newton
iteration and derive estimates of the iteration error that are independent of the stiffness. Finally, some numerical experiments
which confirm the theoretical results are presented.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
962.
Robert Deville Julian P. Revalski 《Proceedings of the American Mathematical Society》2000,128(4):1117-1124
We prove that in several classes of optimization problems, including the setting of smooth variational principles, the complement of the set of well-posed problems is -porous.
963.
Twin solutions to singular boundary value problems 总被引:5,自引:0,他引:5
Ravi P. Agarwal Donal O'Regan 《Proceedings of the American Mathematical Society》2000,128(7):2085-2094
In this paper we establish the existence of two nonnegative solutions to singular and singular focal boundary value problems. Our nonlinearity may be singular at , and/or .
964.
根据Shafranov电流密度矩理论,给出了用可移动电流丝方法重建HL-2A装置等离子体边界的具体计算方法,研究了用可移动电流丝方法(VCF法)重建边界的可行性.VCF法与固定电流丝方法(FCF法)和有限电流元法(FCE法)相比,最大的优点就是用1—3个可移动电流丝就可以准确地重建位置和小半径快速变化的等离子体位形,这正好弥补了FCF法的不足.将可移动电流丝方法和FCF法相结合,可以实现全程等离子体放电的边界实时显示和等离子体的位形控制.
关键词:
可移动电流丝方法
边界识别 相似文献
965.
966.
285 nm紫外激光照射下,用时间分辨电子自旋共振(TRESR)波谱仪研究了光解丙酮/1,2-丙二醇(ACETONE/PG)体系,得到了丙酮羰自由基(CH3)2.COH和1,2-丙二醇羰自由基CH3.COHCHOH的发射/吸收(E/A)型极化信号,这是一个自由基对(RPM)极化过程。在酸性环境中,溶剂分子的CIDEP谱明显减弱,(CH3)2.COH的CIDEP谱无明显变化,由此可判断光解ACETONE/PG体系是一个夺氢反应;在碱性环境中,(CH3)2.COH反应生成负离子基(CH3)2.CO-. 相似文献
967.
In order to understand the rise of runaway solutions in the radiation reaction problem a mechanical model is used. An alternative
demonstration of Daboul’s theorem, through Hurwitz’s criterion, is given. The origin of runaway solutions in electrodynamics
is discussed. They arise when the particle has a negative mechanical mass or when approximations are used in the equation
of motion. In the 1-dimensional mechanical model an exact and linear equation of motion for the particle is obtained, the
corresponding exact solution is again runaway when the mechanical mass is negative. The exact solution is not runaway when
the mechanical mass is positive. However, the use of approximations leads to an equation of motion which has runaway solutions.
It is exhibited that the use of approximations in the 3-dimensional mechanical model is completely necessary because the general
equation of motion for the particle is non-linear. The analysis of this case proceeds in a very similar way to the one carried
out in electrodynamics. This means that the number of dimensions also plays an important role in the analysis. 相似文献
968.
V. V. Varlamov 《International Journal of Theoretical Physics》2007,46(4):741-805
A construction of relativistic wave equations on the homogeneous spaces of the Poincaré group is given for arbitrary spin
chains. Parametrizations of the field functions and harmonic analysis on the homogeneous spaces are studied. It is shown that
a direct product of Minkowski space time and two-dimensional complex sphere is the most suitable homogeneous space for the
physical applications. The Lagrangian formalism and field equations on the Poincaré and Lorentz groups are considered. A boundary
value problem for the relativistically invariant system is defined. General solutions of this problem are expressed via an
expansion in hyperspherical functions defined on the complex two-sphere.
PACS numbers: 02.30.Gp, 02.60.Lj, 03.65.Pm, 12.20.-m 相似文献
969.
970.