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Closed-form expressions for the finite difference approximations of first and higher derivatives based on Taylor series

机译：基于泰勒级数的一阶和高阶导数的有限差分近似的闭式表达式

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Khan Ishtiaq Rasool; Ohba Ryoji;
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年度 1999
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1. Mathematical proof of closed form expressions for finite difference approximations based on Taylor series [J] . Ishtiaq Rasool Khan, Ryoji Ohba, Noriyuki Hozumi Journal of Computational and Applied Mathematics . 2003,第2期

机译：基于泰勒级数的有限差分逼近的闭合形式表达式的数学证明
2. Taylor series based finite difference approximations of higher-degree derivatives [J] . Ishtiaq Rasool Khan, Ryoji Ohba Journal of Computational and Applied Mathematics . 2003,第1期

机译：基于泰勒级数的高阶导数的有限差分近似
3. Optimal staggered-grid finite-difference schemes bycombining Taylor-series expansion and sampling approximation for wave equation modeling [J] . Yan Hongyong, Yang Lei, Li Xiang-Yang Journal of Computational Physics . 2016,第Null期

机译：波动方程建模的泰勒级数展开与采样近似相结合的最优交错网格有限差分方案
4. An optimal staggered-grid finite-difference scheme using Taylor-series expansion with a minimax approximation for elastic wave modeling [C] . Hongyong Yan, Hengchang Dai, Xiang-Yang Li, Society of Exploration Geophysicists International Exposition and Annual Meeting . 2016

机译：利用泰勒系列扩展的最优交错电网有限差分方案，具有弹性波造型的最小近似
5. On the rate of convergence of the finite-difference approximations for parabolic Bellman equations with constant coefficients. [D] . Luo, Jun. 2007

机译：具有常数系数的抛物线型Bellman方程的有限差分近似的收敛速度。
6. High-Accuracy Approximation of High-Rank Derivatives: Isotropic Finite Differences Based on Lattice-Boltzmann Stencils [O] . Keijo Kalervo Mattila, Luiz Adolfo Hegele Júnior, Paulo Cesar Philippi -1

机译：高秩导数的高精度逼近：基于格子-玻尔兹曼模具的各向同性有限差分
7. Corrigendum to: “Closed-form expressions for the finite difference approximations of first and higher derivatives based on Taylor series”J. Comput. Appl. Math. 107 (1999) 179–193 [O] . Khan Ishtiaq Rasool, Ohba Ryoji 2001

机译：更正为：“基于泰勒级数的一阶和更高阶导数的有限差分近似的闭式表达式” J.计算应用数学。 107（1999）179–193

Closed-form expressions for the finite difference approximations of first and higher derivatives based on Taylor series

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