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本文基于三类特殊三角形(等边、等腰直角及(30°,60°,90°)三角形域)Laplace特征函数系的构造,提出任意三角形区域上Laplace特征值的近似公式与算法.给出任意三角形域上所有特征值的逼近公式:λm,n≈π2/24S2(h12(7m2-12mn+7n2)+h22(3m2-4mn+3n2)-2h32(m2-4mn+n2)),m > n ≥1,特别, 对于最小特征值λmin=λ2,1≈π2...
本文基于三类特殊三角形(等边、等腰直角及(30°,60°,90°)三角形域)Laplace特征函数系的构造,提出任意三角形区域上Laplace特征值的近似公式与算法.给出任意三角形域上所有特征值的逼近公式:λm,n≈π2/24S2(h12(7m2-12mn+7n2)+h22(3m2-4mn+3n2)-2h32(m2-4mn+n2)),m > n ≥1,特别, 对于最小特征值λmin=λ2,1≈π2...
Multipliers of Laplace Transform Type for Laguerre and Hermite Expansions
Laguerre expansions Hermite expansions harmonic oscillator
2010/12/6
We present a new criterion for the boundedness in weighted Lp spaces of multiplier operators for Laguerre and Hermite expansions that arise from a Laplace-Stieltjes transform. As a special case, we re...
Convergent Discrete Laplace-Beltrami Operators over Triangular Surfaces
Laplace-Beltrami Operator Surface triangulation Discretization Convergence
2012/7/31
The convergence property of the discrete Laplace-Beltrami operators is the foundation of convergence analysis of the numerical simulation process of some geometric partial di甧rential equations which i...
Discrete Laplace-Beltrami Operator on Sphere and Optimal Spherical Triangulations
Laplace-Beltrami operator Convergence Spherical triangulation, Truncation error
2012/7/31
In this paper we first modify a widely used discrete Laplace Beltrami operator proposed by Meyer et al over triangular surfaces, and then establish some convergence results for the modi痚d discrete Lap...