Results 121 to 130 of about 7,549 (163)
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Effective mass Schrödinger equation and nonlinear algebras
Physics Letters A, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Roy, B., Roy, P.
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MODEL REDUCTION OF NONLINEAR DIFFERENTIAL-ALGEBRAIC EQUATIONS
IFAC Proceedings Volumes, 2007In this work, a computational method to compute balanced realizations for nonlinear differential-algebraic equation systems is derived. The work is a generalization of an earlier work for nonlinear control-affine systems, and is based on analysis of the controllability and observability functions.
Johan Sjöberg +2 more
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The laplace method, algebraic curves, and nonlinear equations
Functional Analysis and Its Applications, 1985An algebro-geometric generalization of the Laplace method [\textit{E. Goursat}, ''Cours d'analyse mathématique''. Tome II (1949; Zbl 0034.341)] is developed. It allows to find integrable equations of the form \(y''=(u(x)+ax+b)y\) where a,b are constants and u(x) a periodic function tending to a finite-gap potential as \(| x| \to \infty\).
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Lie-Algebraic Discrete Approximation for Nonlinear Evolution Equations
Journal of Mathematical Sciences, 2002A Lie-algebraic discrete approximation procedure is developed for nonlinear evolution equations in Banach space \[ \frac{du}{dt} = A(t,u)u+f(t,x),\quad\,\, u| _{t=0^+} = \bar\phi, \] where \(f\in C(\mathbb{R},C(\Omega^r\times B;B))\), \(B=L_p(\Omega^r,\mathbb{R})\), \(p>1\), \(\Omega^r\in \mathbb{R}^n\), and \(\bar\phi\in B\) is some given function ...
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Tikhonov Regularization of Nonlinear Differential-Algebraic Equations
1990Using recent results about Tikhonov regularization of nonlinear ill-posed problems, we show that nonlinear index-2 differential-algebraic equations can be solved in a stable way via Tikhonov regularization in various ways. Convergence rates for the regularized solutions are derived.
H. W. Engl, M. Hanke, A. Neubauer
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Numerical analysis of simultaneous nonlinear algebraic equations
1988., IEEE International Symposium on Circuits and Systems, 2003J.B. Moore's (J. Assoc. Comp. Math., vol.14, p.311-5, 1976) method of solving a single-variable algebraic equation is generalized to a method for multivariable simultaneous algebraic equations. The proposed method makes use of an objective function similar to the Lyapunov function, but it has multiple-zero points corresponding to the solution of the ...
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Projection Methods for Nonlinear Algebraic Equations
2004We investigate two types of projection methods for solving nonlinear algebraic equations of the form $$F\left( x \right) = 0\;\left( {F:{\mathbb{R}^m} \to {\mathbb{R}^m}} \right),$$ (5.1) , where $$F\left( x \right) = {\left[ {{f_1}\left( x \right), \ldots ,{f_m}\left( x \right)} \right]^T}.$$ (5.2) .
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Decomposition of systems of nonlinear algebraic equations
AIChE Journal, 1984AbstractA new method for decomposing irreducible subsets, in the solution of systems of nonlinear algebraic equations, is presented. This method consists of two steps: (1) elimination of the nonlinearity from some of the equations by replacing nonlinear expressions by new variables; and (2) formulation of a problem of smaller dimension by tearing the ...
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New Creatinine- and Cystatin C–Based Equations to Estimate GFR without Race
New England Journal of Medicine, 2021Lesley A Inker +2 more
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