On the Rate of Convergence of Finite-Difference Approximations for Elliptic Isaacs Equations in Smooth Domains

Krylov N. V.

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On the Rate of Convergence of Finite-Difference Approximations for Elliptic Isaacs Equations in Smooth Domains

机译：椭圆域中以撒方程的有限差分逼近的收敛速度

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摘要

We show that there exists an algebraic rate of convergence of solutions of finite-difference approximations for uniformly elliptic Isaacs equations in smooth bounded domains.

机译：我们表明，在光滑有界域中，对于均匀椭圆型Isaacs方程，存在有限差分近似解的代数收敛速度。

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《Communications in Partial Differential Equations》 |2015年第9期|共15页
作者
Krylov N. V.;
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正文语种 eng
中图分类偏微分方程;
关键词
35J60; 39A14; Finite differences; Isaacs equations; Fully nonlinear elliptic equations;

机译：35J60;39A14;有限差分;Isaacs方程;完全非线性椭圆方程;

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专利

1. On the Rate of Convergence of Finite-Difference Approximations for Elliptic Isaacs Equations in Smooth Domains [J] . Krylov N. V. Communications in Partial Differential Equations . 2015,第7a9期

机译：椭圆域中以撒方程的有限差分逼近的收敛速度
2. On the Rate of Convergence of the Finite-Difference Approximations for Parabolic Bellman Equations with Constant Coefficients [J] . Jun Luo, N. V. Krylov Applied Mathematics & Optimization . 2008,第3期

机译：具有常系数的抛物线型Bellman方程的有限差分近似的收敛速度
3. On the rate of convergence of finite-difference approximations for Bellman equations with constant coefficients [J] . Hongjie Dong, N. V. Krylov St. Petersburg mathematical journal . 2006,第2期

机译：具有常数系数的Bellman方程的有限差分近似的收敛速度
4. On Convergence of Difference Approximations of Extremum Problems Described by Elliptic Equations with Unbounded Nonlinearity [C] . Aigul Manapova International Conference on Finite Difference Methods . 2019

机译：椭圆形式与无界非线性描述的极值问题差异近似的收敛性研究
5. On the rate of convergence of the finite-difference approximations for parabolic Bellman equations with constant coefficients. [D] . Luo, Jun. 2007

机译：具有常数系数的抛物线型Bellman方程的有限差分近似的收敛速度。
6. On stochastic differential equations with arbitrarily slow convergence rates for strong approximation in two space dimensions [O] . Máté Gerencsér, Arnulf Jentzen, Diyora Salimova -1

机译：具有二维空间强逼近的具有任意慢收敛速度的随机微分方程
7. On the rate of convergence of finite-difference approximations for elliptic Isaacs equations in smooth domains [O] . Krylov, N. V. 2014

机译：关于有限差分近似的收敛速度平滑域中的椭圆Isaacs方程
8. Convergence Rates of Best N-term Galerkin Approximations for a Class of Elliptic sPDEs [R] . Cohen, A., DeVore, R., Schwab, C. 2010

机译：一类椭圆spDE的最佳N项Galerkin逼近的收敛速度

On the Rate of Convergence of Finite-Difference Approximations for Elliptic Isaacs Equations in Smooth Domains

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