Correction in the Dominant Space Method for Nonlinear Evolution Equations

Trif D.; Petrila T.

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Correction in the Dominant Space Method for Nonlinear Evolution Equations

机译：非线性发展方程的优势空间方法的校正

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The correction in the dominant space method, based mainly on the so called "alternative method", is an almost explicit algorithm which succeds to avoid the nonstability effects connected with the dominant eigenvalues. This method removes the additional time step restrictions which would be accumulated with those imposed by the nonlinearity and it is tested, with a Chebyshev collocation space discretization, in the case of the two-dimensional Navier-Stokes equations considered on rectangle domains.

机译：主要基于所谓的“替代方法”的优势空间方法中的校正是一种几乎明确的算法，它成功地避免了与优势特征值有关的非稳定性效应。这种方法消除了非线性所累积的额外时间步长限制，并且在矩形域上考虑二维Navier-Stokes方程的情况下，通过Chebyshev搭配空间离散化对其进行了测试。

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《Zeitschrift fur Angewandte Mathematik und Mechanik》 |1996年第s2期|p.691-692|共2页
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Trif D.; Petrila T.;
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正文语种 eng
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1. CORRECTION IN THE DOMINANT SPACE METHOD FOR NONLINEAR EVOLUTION EQUATIONS [J] . Trif D., Petrila T. Zeitschrift fur Angewandte Mathematik und Mechanik . 1996,第s2期

机译：非线性演化方程的优势空间方法的校正
2. Practical splitting methods for the adaptive integration of nonlinear evolution equations. Part II: Comparisons of local error estimation and step-selection strategies for nonlinear Schrodinger and wave equations [J] . Auzinger Winfried, Brezinova Iva, Hofstaetter Harald, Computer physics communications . 2019,第期

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3. Recent Development on Nonlinear Methods in Function Spaces and Applications in Nonlinear Fractional Differential Equations [J] . Zhang Xinguang, Wu Yonghong, Liu Lishan, Journal of Function Spaces . 2018,第1期

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4. EXISTENCE OF SLIDING MOTIONS FOR NONLINEAR EVOLUTION EQUATIONS IN BANACH SPACES [C] . Laura Levaggi AIMS International Conference on Dynamical Systems, Differential Equations and Applications . 2013

机译：Banach空间中非线性演化方程的滑动运动的存在性
5. Iteration methods for approximation of solutions of nonlinear equations in Banach spaces. [D] . Chidume, Chukwudi. 2008

机译：Banach空间中非线性方程解的逼近迭代方法。
6. ON A „MONOTONICITY METHOD FOR THE SOLUTION OF NONLINEAR EQUATIONS IN BANACH SPACES [O] . George J. Minty 1963

机译：Banach空间中非线性方程解的单调性方法
7. Nonlocal nonlinear systems of transport equations in weighted $L^1$ spaces : An operator theoretic approach (Nonlinear Evolution Equations and Applications) [O] . Yamaguchi Toshiyuki 1999

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8. High Order Time Stepping Methods for Nonlinear Evolution Equations [R] . Pasciak, J. E. 1980

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Correction in the Dominant Space Method for Nonlinear Evolution Equations

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