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Numerical Tests of a Novel Technique to Compute the Eigenvalues of Differential Operators

机译：一种计算微分算子特征值的新方法的数值试验

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摘要

A method to compute the eigenvalues of differential operators based on a finite dimensional matrix representation is tested numerically. Applications are given.

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作者
Calogero, F.; Franco, E.;
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年度 1985
页码 p.1-46
总页数 46
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Differential equations; Eigenvalues; Operators (Mathematics); Interpolation; Lie groups; Polynomials;

机译：微分方程;特征值;算子（数学）;插值;李群;多项式;

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1. Sinc-regularized techniques to compute eigenvalues of schrodinger operators on L-2(I)circle plus C-2 [J] . Annaby M. H., Tharwat M. M. Numerical algorithms . 2019,第3期

机译：SINC-Corralalized技术，用于计算L-2（i）圈加上C-2的Schrodinger运算符的特征值
2. ACCURATE INVERSES FOR COMPUTING EIGENVALUES OF EXTREMELY ILL-CONDITIONED MATRICES AND DIFFERENTIAL OPERATORS [J] . Ye Qiang Mathematics of computation . 2018,第309期

机译：用于计算极其不良矩阵和差分运算符的计算特征值的准确逆
3. A method for computing lowest eigenvalues of symmetric polynomial differential operators by semidefinite programming [J] . Cimpri? J. Journal of Mathematical Analysis and Applications . 2010,第2期

机译：用半定规划计算对称多项式微分算子最低特征值的方法。
4. Framework for verified lower eigenvalue bound for self-adjoint differential operators [C] . Xuefeng LIU International Conference on Simulation Technology . 2015

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5. Eigenvalue asymptotics for self-adjoint, fourth-order, ordinary differential operators [D] . Schueller, Albert William, III 1996

机译：自伴四阶常微分算子的特征值渐近性
6. On the asymptotic eigenvalue distribution of a pseudo-differential operator [O] . C. Fefferman, D. H. Phong 1980

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7. Accurate Inverses for Computing Eigenvalues of Extremely Ill-conditioned Matrices and Differential Operators [O] . Ye, Qiang 2017

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8. TECHNIQUES FOR COMPUTING THE NUMERICAL VALUES OF THE MATRIX ELEMENTS OF THE COLLISION OPERATOR INnTHE COLLISIONAL PLASMA MODEL [R] . H. K. Meier, W. I. van Rij, C. 0. Beasley 1976

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Numerical Tests of a Novel Technique to Compute the Eigenvalues of Differential Operators

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