NUMERICAL STABILITY OF FINITE DIFFERENCE ALGORITHMS FOR ELECTROCHEMICAL KINETIC SIMULATIONS. MATRIX STABILITY ANALYSIS OF THE CLASSIC EXPLICIT, FULLY IMPLICIT AND CRANK-NICOLSON METHODS, EXTENDED TO THE 3- AND 4-POINT GRADIENT APPROXIMATION AT THE

LESLAW K. BIENIASZ; OLE OSTERBY; DIETER BRITZ

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NUMERICAL STABILITY OF FINITE DIFFERENCE ALGORITHMS FOR ELECTROCHEMICAL KINETIC SIMULATIONS. MATRIX STABILITY ANALYSIS OF THE CLASSIC EXPLICIT, FULLY IMPLICIT AND CRANK-NICOLSON METHODS, EXTENDED TO THE 3- AND 4-POINT GRADIENT APPROXIMATION AT THE

机译：电化学动力学模拟的有限差分算法的数值稳定性。经典显式，完全隐式和Crank-NICOLSON方法的矩阵稳定性分析，扩展到3点和4点梯度逼近

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We extend the analysis of the stepwise numerical stability of the classic explicit, fully implicit and Crank-Nicolson finite difference algorithms for electrochemical kinetic simulations, to the multipoint gradient approximations at the electrode. The discussion is based on the matrix method of stability analysis.

机译：我们将用于电化学动力学模拟的经典显式，完全隐式和Crank-Nicolson有限差分算法的逐步数值稳定性分析扩展到电极上的多点梯度近似。讨论基于稳定性分析的矩阵方法。

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《Computers & Chemistry》 |1995年第4期|p.351-355|共5页
作者
LESLAW K. BIENIASZ; OLE OSTERBY; DIETER BRITZ;
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Kemisk Institut, Aarhus Universitet, Langelandsgade 140, 8000 Aarhus C, Denmark;

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正文语种 eng
中图分类计算机的应用;
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1. NUMERICAL STABILITY OF FINITE DIFFERENCE ALGORITHMS FOR ELECTROCHEMICAL KINETIC SIMULATIONS: MATRIX STABILITY ANALYSIS OF THE CLASSIC EXPLICIT, FULLY IMPLICIT AND CRANK-NICOLSON METHODS AND TYPICAL PROBLEMS INVOLVING MIXED BOUNDARY CONDITIONS [J] . LESLAW K. BIENIASZ, OLE OSTERBY, DIETER BRITZ Computers & Chemistry . 1995,第2期

机译：电化学动力学模拟的有限差分算法的数值稳定性：经典显式，完全隐式和Crank-NICOLSON方法的矩阵稳定性分析以及涉及混合边界条件的典型问题
2. NUMERICAL STABILITY OF THE SAUL'YEV FINITE DIFFERENCE ALGORITHMS FOR ELECTROCHEMICAL KINETIC SIMULATIONS: MATRIX STABILITY ANALYSIS FOR AN EXAMPLE PROBLEM INVOLVING MIXED BOUNDARY CONDITIONS [J] . LESLAW K. BIENIASZ, OLE OSTERBY, DIETER BRITZ Computers & Chemistry . 1995,第4期

机译：电化学动力学模拟的SAUL'YEV有限差分算法的数值稳定性：涉及混合边界条件的示例问题的矩阵稳定性分析
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机译：有限和无限视野中随机微分方程的明确数值近似：截断方法，第PTH矩和稳定性的收敛性（Vol 39，PG 847,2019）
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机译：双曲型系统有限差分逼近的稳定性分析，应用与计算矩阵及算子理论问题。

NUMERICAL STABILITY OF FINITE DIFFERENCE ALGORITHMS FOR ELECTROCHEMICAL KINETIC SIMULATIONS. MATRIX STABILITY ANALYSIS OF THE CLASSIC EXPLICIT, FULLY IMPLICIT AND CRANK-NICOLSON METHODS, EXTENDED TO THE 3- AND 4-POINT GRADIENT APPROXIMATION AT THE

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