共查询到19条相似文献,搜索用时 93 毫秒
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有理函数积分的难点在于求出有理函数分解为部分分式之和的系数.目标是通过一个可逆矩阵求出分解系数.这种方法克服了待定系数法、极限法以及奥氏(M. V. Ostrogradsik)方法等通常方法的不足,给出的分解公式简洁明了,有利于理论分析,有利于教学实践,有利于借助计算机解决实际问题. 相似文献
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本文针对常系数和变系数两点混合边值问题提出一种紧有限体积格式,该格式形成的线性代数方程组具有三对角性质,可以使用追赶法求解.证明格式按照H1半范数具有四阶收敛精度.利用节点计算值,给出单元中点值和一阶导数值的高精度后处理计算公式,这两个公式同样具有四阶精度.数值算例验证了理论分析的正确性,并说明了格式的有效性. 相似文献
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针对一类常系数线性微分方程,运用观察法或特征函数导数法,得到了方程特解的计算公式.当方程非齐次项Aeαx中α=0时,可采用观察法;当α≠0时,可采用特征函数导数法得到方程的一个公式化特解.该方法简便易行,特解形式直观,避免了以前方法计算量过大的不足. 相似文献
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《应用数学与计算数学学报》2016,(4)
研究了几类在给出全部和部分信息时线性泛函和线性算子的反演问题.介绍了最优反演理论的基本结果,特别是最优反演方法的构造.作为例子,讨论了在给出部分傅里叶系数时反演函数和函数的导数问题. 相似文献
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定义Laplace变换的像函数的任意实数次导数,同时给出了α次导数的性质,并建立了它和复围道积分的联系,给出了一类Cauchy型积分的计算公式. 相似文献
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为了对任意阶导数和积分给出物理模型,分别分析了具有自相似性的电阻-电容分形电路和电阻-电感分形电路.利用L ap lace变换和连分数理论,在时间的极限情形下将主干上电阻和电流的乘积分别表示为外加电压的任意阶导数和任意阶积分.通过支干上电阻和电容(或电阻和电感)值的设定,导数和积分的阶数可在0与1之间任意取值. 相似文献
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According to current history of science, Levi-Civita introduced parallel transport solely to give a geometrical interpretation to the covariant derivative of absolute differential calculus. Levi-Civita, however, searched a simple computation of the curvature of a Riemannian manifold, basing on notions of the Italian school of mathematical physics of his time: holonomic constraints, virtual displacements and work, which so have a remarkable, if not dominant, role in the origin of parallel transport. (© 2015 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
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New conservative finite volume element schemes for the modified Korteweg–de Vries equation
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Jinliang Yan Qian Zhang Zhiyue Zhang 《Mathematical Methods in the Applied Sciences》2016,39(18):5149-5161
In this paper, three conservative finite volume element schemes are proposed and compared for the modif ied Korteweg–de Vries equation, especially with regard to their accuracy and conservative properties. The schemes are constructed basing on the discrete variational derivative method and the finite volume element method to inherit the properties of the original equation. The theoretical analysis show that three schemes are conservative under suitable boundary conditions as well as unconditionally linear stability. Numerical experiments are given to confirm the theoretical results and the capacity of the proposed methods for capturing the solitary wave phenomena. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
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Volume fraction condition is a true constraint that must be taken into consideration in deducing the thermodynamic restrictions
of mixture theory applying the axiom of dissipation. For a process to be admissible, the constraints imposed by the volume
fraction condition include not only the equation obtained by taking its material derivative with respect to the motion of
a given phase, but also those by taking its spatial gradient. The thermodynamic restrictions are deduced under the complete
constraints, the results obtained are consistent for the mixtures with or without a compressible phase, and in which the free
energy of each phase depends on the densities of all phases. 相似文献
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A. G. Pinus 《Siberian Mathematical Journal》2011,52(3):512-515
We classify the discriminator varieties of universal algebras, basing on the structure of their conditional geometric scales. 相似文献
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本文利用推广的Aubry-Mather定理,获得了一类二阶可逆微分方程Aubry-Mather集存在的充分性条件. 相似文献
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本文采用O’Neal分离现金流量方法研究影响货币市场基金投资者申购和赎回行为的具体因素。实证结果表明,基金业绩增长是决定货币市场基金申购和赎回的主要变量,基金当期净值增长率与基金份额净变动率、申购率和赎回率呈正相关关系,影响程度呈非对称性;货币市场基金投资者的申购决策主要考虑基金收益情况,赎回决策兼顾基金收益和风险分布。因此,提高基金收益及其稳定性,降低基金收益波动是货币市场基金加强流动性风险管理的基础。 相似文献
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Numerical Algorithms - In this paper, basing on the subgradient extragradient method and inertial method with line-search process, we introduce two new algorithms for finding a common element of... 相似文献
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Existence and Regularity of Solution of the Liquid 4He Model Coupling with an Applied Magnetic Field
Chen PENG 《应用数学学报(英文版)》2022,38(2):497-511
In this paper, we derive a time-dependent Ginzburg-Landau model for liquid ~4He coupling with an applied magnetic field basing on the Le Chatlier principle.We also obtain the existence and uniqueness of global weak solution for this model. In addition, by utilizing the regularity estimates for linear semigroup, we prove that the model possesses a global classical solution. 相似文献