搜索结果: 16-30 共查到“知识库 常微分方程数值解”相关记录31条 . 查询时间(4.337 秒)
Explicit formula for the solution of the Szegö equation on the real line and applications
Szeg¨o equation integrable systems Lax pair Hankel operators soliton resolution
2011/1/21
We consider the cubic Szeg¨o equation i@tu = (|u|2u) in the Hardy space L2 +(R) on the upper half-plane, where is the Szeg¨o projector.
Coupled nonlinear oscillators: metamorphoses of amplitude profiles. The case of the approximate effective equation
Coupled nonlinear oscillators metamorphoses of amplitude profiles approximate effective equation
2010/12/28
We study dynamics of two coupled periodically driven oscillators. Im-portant example of such a system is a dynamic vibration absorber which consists of a small mass attached to the primary vibrating s...
Extention of Finite Solvable Torsors over a Curve
solvable torsors fibered surfaces group schemes
2011/1/19
Let R be a discrete valuation ring with fraction field K and with algebraically closed residue field of positive characteristic p. Let X be a smooth fibered surface over R with geometrically connected...
We present the solutions of equations of degrees 3 and 4 using Galois theory and some simple Fourier analysis for finite groups.
Interpolating' differential reductions of multidimensional integrable hierarchies
differential reductions multidimensional integrable hierarchies
2010/11/10
We transfer the scheme of constructing differential reductions, developed recently for the case of the Manakov-Santini hierarchy, to the general multidimensional case. We consider in more detail the ...
We consider the Yamabe invariant of a compact orbifold with finitely many singular points. We prove a fundamental inequality for the estimate of the invariant from above, which also includes a criteri...
Let X V be a closed embedding, with V r X nonsingular. We de ne a constructible function X;V on X, agreeing with Verdier's specialization of the constant function 11V when X is the zero-locus of a ...
A numeric-analytical method for solving the Cauchy problem for ordinary differential equations
FD-method Adomian decomposition method generating function method ordinary di erential equation Cauchy problem
2010/11/26
In the paper we o er a functional-discrete method for solving the Cauchy problem for the rst order ordinary di erential equations (ODEs). This method (FD-method) is in some sense similar to the Adomi...
一类特殊半鞅驱动的随机微分方程解的存在唯一性
存在性 轨道唯一性 特殊半鞅 逐次逼近
2011/12/23
研究了随机微分方程dXt=F(X)tdZt解的存在唯一性,其中F为非Lipschitz系数,Z属于一类特殊半鞅.
二次多项式的平方取值
平方取值 二次多项式
2008/12/12
设 F 为任意特征不为2的域,f(x)=αx~2-βx+r 是 F 上二次多项式。令 F=Fu{∞},並令 f(∞)=α。对任意a∈F,我们定义了变换τ_a:■变换τ_a 保持“f(x)为平方”这性质不变.利用这组变换,(1)当 F 为有限域,我们确定了集合H={x∈F|f(x)∈F~(*2)}及 S={f(x)∈F~(*2)|x∈F},並计算了它们元素的个数,(2)当 F为有理数域,我们讨论了整...
改进的Simpson公式
改进 Simpson公式
2008/12/11
通过用 A-稳定或 L-稳定公式的外推计算 Simpson 公式中中点的函数值,以改进 Simpson公式,使其数值稳定性达到 A-稳定(3阶),或 A(74°)-稳定(4阶)。同时,改进的 Simpson公式具有单步法的特点,易变步长。类似的思想办法应用于6阶4步最优公式,也可以达到很好的效果。
利用初值问题方法给出了一类线性Liénard方程周期边值问题解的存在唯一性的构造性证明,利用数值延拓方法,并给出了计算实例和一种大范围求解这类方程周期解的方法。
讨论奇摄动常微分方程系统的二点边界值问题，这是奇摄动问题中较难的部分。文中介绍了多过渡点的选取方法，依此法构造不等距差分格式，在最大范数下证明新的差分格式关于摄动参数是一阶一致收敛。多过渡点确定了网格划分从细网格到中等网格和粗网格的过渡，而Shishkin Scheme（单过渡点法）只将网格分为细网格和粗网格。多过渡点法很好地拟合了边界层的性质，在实际应用中相当有效，其收敛阶也高于Shishkin...