A Higher-Order Energy Expansion to Two-Dimensional Singularly Neumann Problems [PDF]
, 2005 Of concern is the following singularly perturbed semilinear elliptic problem \begin{equation*} \left\{ \begin{array}{c} \mbox{${\epsilon}^2\Delta u -u+u^p =0$ in $\Omega$}\\ \mbox{$u>0$ in $\Omega$ and $
Yeung, W-K, Winter, M, Wei, J
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"A New Light from Old Wisdoms : Alternative Estimation Methods of Simultaneous Equations with Possibly Many Instruments" [PDF]
We compare four dffierent estimation methods for a coefficient of a linear structural equation with instrumental variables. As the classical methods we consider the limited information maximum likelihood (LIML) estimator and the two-stage least squares ...
Naoto Kunitomo +2 more
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Computing all integer solutions of a genus 1 equation [PDF]
The Elliptic Logarithm Method has been applied with great successto the problem of computing all integer solutions of equations ofdegree 3 and 4 defining elliptic curves. We extend this methodto include any equation f(u,v)=0 that defines a curve of genus
Stroeker, R.J., Tzanakis, N.
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"An Optimal Modification of the LIML Estimation for Many Instruments and Persistent Heteroscedasticity" [PDF]
We consider the estimation of coefficients of a structural equation with many instrumental variables in a simultaneous equation system. It is mathematically equivalent to an estimating equation estimation or a reduced rank regression in the statistical ...
Naoto Kunitomo
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Implicit methods for the simple wave equation [PDF]
, 1984 A family of finite difference methods is developed for the numerical solution of the simple wave equation. Local truncation errors are cal- culated for each member of the family and each is analyzed for stability.
Tirmizi, S I A, Twizell, E H
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On linear systems and τ functions associated with Lamé's equation and Painlevé's equation VI. [PDF]
, 2011 Painleve's transcendental differential equation PVI may be expressed as the consistency condition for a pair of linear differential equations with 2 by 2 matrix coefficients with rational entries.
Blower, Gordon
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Geometrical Optics in Absorbing Media. [PDF]
Proc Natl Acad Sci U S A, 1930 Epstein PS.
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Three-Dimensional Imaging Based on Refractive Camera Model and Error Calibration for Risley-Prism Imaging System. [PDF]
Sensors (Basel)Luo W, Yang S, Huang D, Huang F, Wang P.
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An Annular CMUT Array and Acquisition Strategy for Continuous Monitoring. [PDF]
Sensors (Basel)Almario Escorcia MJ +7 more
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Solving Invertible Equations AND Higher-Degree Equations
Solving inverse equations and higher-order equations is one of the important areas of mathematical analysis and algebra. An inverse equation is an equation that is related to a power or function of a variable and requires finding the value of the ...
oglu, M. M. (Musurmonov) +2 more
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