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PSEUDO-Inverse of the Derivative Operator in Polynomial Spectral Methods

机译：多项式谱方法中导数算子的伪逆

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The matrix D - kI in polynomial approximations of order N is similar to a largeJordan block which is invertible for nonzero k but extremely sensitive to

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作者
Loncaric, J.;
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年度 1997
页码
总页数 17
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Eigenvalues; Polynomials; Fourier transformation; Matrices(Mathematics); Approximation(Mathematics); Perturbations; Operators(Mathematics); Laplace transformation;

机译：特征值;多项式;傅里叶变换;矩阵（数学）;逼近（数学）;扰动;算子（数学）;拉普拉斯变换;

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1. The EPS method: A new method for constructing pseudospectral derivative operators [J] . Sandberg K., Wojciechowski K.J. Journal of Computational Physics . 2011,第15期

机译：EPS方法：一种构造伪谱导数的新方法
2. Inverse spectral problems for impulsive Dirac operators with spectral parameters contained in the boundary and discontinuity conditions polynomially [J] . B. Keskin Neural Computing and Applications . 2013,第5期

机译：脉冲Dirac算子的反谱问题，其谱参数包含在边界和不连续性条件中，多项式
3. Inverse spectral problems for impulsive Dirac operators with spectral parameters contained in the boundary and discontinuity conditions polynomially [J] . B. Keskin Neural computing & applications . 2013,第5期

机译：脉冲Dirac算子的反谱问题，其谱参数包含在边界和不连续性条件中，多项式
4. Pade Summation-by-parts Operators for spectral resolvability on bounded domains: The first derivative [C] . Ayaboe K. Edoh, David C. Del Rey Fernandez AIAA aviation forum . 2019

机译：Pade分部求和运算符，用于有界域上的谱可分辨性：一阶导数
5. Spectral theory for generalized bounded variation perturbations of orthogonal polynomials and Schrodinger operators. [D] . Lukic, Milivoje. 2011

机译：正交多项式和Schrodinger算子的广义有界变化摄动的谱理论。
6. The Use of Generalized Laguerre Polynomials in Spectral Methods for Solving Fractional Delay Differential Equations [O] . M. M. Khader -1

机译：广义Laguerre多项式在谱法中解分数阶时滞微分方程的应用。
7. Elastic Neumann-Poincar\'e operators on three dimensional smooth domains: Polynomial compactness and spectral structure [O] . Ando, Kazunori, Kang, Hyeonbae, Miyanishi, Yoshihisa 2017

机译：弹性Neumann-poincar算子在三维平滑上域：多项式紧致性和光谱结构
8. The Pseudo-Inverse of the Derivative Operator in Polynomial Spectral Methods [R] . Loncaric, Josip 1997

机译：多项式谱方法中导数算子的伪逆

PSEUDO-Inverse of the Derivative Operator in Polynomial Spectral Methods

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