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非线性双曲型积分微分方程有限元逼近的误差分析 总被引:1,自引:0,他引:1
窦纳 《高校应用数学学报(A辑)》2001,16(3):337-347
考虑非线性双曲型积分微分方程半离散有限元格式,得到H^1超收敛和最优阶L^∞和W^1,∞模误差估计,结果丰富了有限元方法的理论。 相似文献
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二阶特征值问题的非协调元逼近 总被引:1,自引:0,他引:1
本文以非协调三角形线性元为例,讨论了二阶特征值问题的非协调有限元逼近,基于二阶变分问题非协调有限元逼近的有关分析结果,不仅得到了特征值逼近解的误差估计,而且得到了特征函数逼近解的最优的L~2-误差估计和拟最优的L~∞-误差估计。 相似文献
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[1—5]讨论了各种类型插值样条的L_∞模最优误差估计。本文利用共轭插值样条,给出一些插值样条类的L_1模最优误差界,然后用插值空间理论导出L_p模估计的上界。 一、样条共轭插值 设n≥1并给定[0,1]上的两个分划: 相似文献
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一类非线性对流占优抛物型方程组的特征交替方向有限元方法 总被引:1,自引:0,他引:1
对一类非线性对流占优抛物型方程组建立时间离散的Patch逼近特征交替方向有限元格式 ,并给出了最优阶的L2 和H1模误差估计 . 相似文献
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§1.引言在高温流体动力学中会出现一类非线性双曲-抛物耦合方程组,本文讨论该问题的有限元方法,推广并改进了[1]的工作,得到了连续时间有限元逼近的最佳 L_2和 L_∞误差估计. 相似文献
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期权定价问题的数值方法 总被引:4,自引:1,他引:3
本文研究以股票为标的资产的美式看跌期权定价问题的数值方法,即有限元方法。通过将所考虑的问题转化为等价的变分不等式,并利用积分恒等式与超逼近分析技术,得到了半离散有限元方法的最优L~2-模与L~∞-模的误差估计。 相似文献
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双曲型积分-微分方程的有限体积元方法 总被引:1,自引:0,他引:1
本文研究了双曲型积分—微分方程的有限体积元方法,利用基于有限体积元的Ritz—Volterra投影的逼近性质,得到了半离散有限体积元解的最优阶L2,H^1,L∞和W^1,∞模误差估计. 相似文献
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关于二阶问题的分片线性有限元近似解的L~∞—误差估计,已有不少出色的工作,Nitsche,Scott,Frehse和Rannacher,Schatz和Wahlbin等分别利用不同的方法,证明了在u∈W~(2,∞)(Ω)的条件下,有‖u-u_h‖_(0,∞,Ω=0(h~2|lnh|)。这一误差估计与分片线性插值的逼近误差阶相比,并不是丰满(或最优)的。能否得到与插值逼近相同阶的L~∞—误差 相似文献
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《数学学报(英文版)》2014,(10)
<正>Submission Authors must use LaTeX for typewriting,and visit our website www.actamath.com to submit your paper.Our address is Editorial Office of Acta Mathematica Sinica,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,P.R.China. 相似文献
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《运筹学学报》2014,(3)
正August 10-14,2015Beijin,China The International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists 相似文献
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ZhouSongping YaoKui SuWeiyi 《分析论及其应用》2004,20(4):332-341
The present paper investigates the fractal structure of fractional integrals of Weierstrass functions. The ezact box dimension for such functions many important cases is established. We need to point out that, although the result itself achieved in the present paper is interesting, the new technique and method should be emphasized. These novel ideas might be useful to establish the box dimension or Hausdorff dimension (especially for the lower bounds) for more general groups of functions. 相似文献
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《应用数学学报(英文版)》2014,(4)
正1 Aims and Scope Acta Mathematicae Applicatae Sinica(English Series)is a quarterly journal established by the Chinese Mathematical Society.The journal publishes high quality research papers from all branches of applied mathematics,particularly welcomes those from partial differential equations,computational mathematics,applied probability,mathematical finance,statistics,dynamical systems,optimization and management science. 相似文献
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We characterize congruence lattices of standard QBCC-algebras and their connection with the congruence lattices of congruence
kernels.
Work on the paper was supported by Council of Czech Government No J14/98:153100011. 相似文献
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A new class of sets in ideal topological spaces is introduced and using these sets, a decomposition of continuity is given.
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We obtain (a) necessary and sufficient conditions and (b) sufficient conditions for a compact (countably compact) set to be closed in products (sequential products) and subspaces (sequential subspaces) of normal spaces. As a consequence of these, sufficient conditions are obtained for (i) the closedness of arbitrary (countable) union of closed sets and (ii) the equality of the union of the closures and the closure of the union of arbitrary (countable) families of sets in these spaces. It is also shown that these results do not hold for quotients of even T
4,-spaces. 相似文献
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A. Barkhudaryan R. Barkhudaryan A. Poghosyan 《分析论及其应用》2007,23(3):228-242
The current paper considers the problem of recovering a function using a limited number of its Fourier coefficients. Specifically, a method based on Bernoulli-like polynomials suggested and developed by Krylov, Lanczos, Gottlieb and Eckhoff is examined. Asymptotic behavior of approximate calculation of the so-called "jumps" is studied and asymptotic L2 constants of the rate of convergence of the method are computed. 相似文献