Fully discrete finite difference schemes on summation-by-parts form, in combination with the simultaneous approximation technique, are constructed. We prove energy stability and discrete dual consistency and show how to construct the penalty operators such that the scheme automatically adjusts to the ...
求和公式:例如分部求和(Summation by parts)、泊松求和公式(Poisson summation formula)。 三、跨领域扩展含义 Summation 在不同学科中有特定含义: 物理学/生物学: 时间总和(Temporal summation):神经元在短时间内接收多次刺激后产生的叠加效应。 空间总和(Spatial summation):多个空间信号同时作用...
summation by parts 分部求和法 in parts 有些部分分开,分几部分 double summation 二重求和法 method of summation 求和法 indefinite summation 不定总和 convolution summation 【计】 卷积和 heat summation 热量总和 heterogeneous summation 异质相加 summation curves 累积曲线 相似...
分部求和法(英语:Summation by parts)也叫阿贝尔变换(英语:Abel transformation,有别于Abel transform)或阿贝尔引 … zh.wikipedia.org|基于17个网页 释义: 全部,分部求和法 更多例句筛选 1. MethodforSummationbyPartsofa ClassSequence 一类数列部分和的求法 ...
Li, Kin YP. Olsson, Summation by parts, projections, and stability. I, Math. Comp., 64 (1995), pp. 1035-1065.P. Olsson, Summation by parts, projections and stability I, Math. Comp. 64 (1995), 1035- 1065. MR1297474 (96a:65130)...
We focus on problems that originate from a space approximation using high order finite difference methods on summation-by-parts form with weak boundary conditions, and extend that technique to the time-domain. The new time-integration method is global, high order accurate, unconditionally stable and...
Next, the initial-boundary value problem is considered and a scheme is constructed in a summation-by-parts framework. The boundary conditions are imposed in a st 一个式样问题我们考虑热等式。 我们在一个在无特定结构的栅格分析Cauchy问题和几个空间维度并且证明稳定。 其次,最初界限价值问题被考虑,并且...
2) Abel's lemma on summation by parts Abel分部求和引理3) Abel sum Abel求和 1. As a result, the arithmetic sum is stronger than the Abel sum. 文章主要是对满足某些条件的发散级数给出两种不同的求“和”定义,即算术平均求和与Abel求和,它与通常数学分析中Cauchy意义下所定义的求和是有区别的。
One way to obtain a simple, desirable numerical method is to approximate the derivatives of the initial boundary value problem with high order accurate, central finite difference operators that satisfy a summation by parts (SBP) formula, and then use the Simultaneous Approximation Term (SAT) method...
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