*优控制问题高效高精度算法
正版全新
￥ 91.2 7.1折 ￥ 128 全新
库存7件
上海浦东
认证卖家担保交易快速发货售后保障
作者陈艳萍,鲁祖亮
出版社科学出版社
ISBN9787030463951
出版时间2016-01
装帧其他
开本其他
定价128元
货号2040154
上书时间2024-03-11
- 在售商品 暂无
- 平均发货时间 20小时
- 好评率 暂无
![精通API架构：设计、运维与演进 [英]詹姆斯·高夫](https://www0.kfzimg.com/sw/kfz-cos/kfzimg/13339107/e4dfd01ac30a5809_s.jpg)
商品详情
- 品相描述：全新
- 商品描述
-
【书 名】 *优控制问题高效高精度算法
【书 号】 9787030463951
【出 版 社】 科学出版社
【作 者】 陈艳萍,鲁祖亮
【出版日期】 2016-01-01
【开 本】 其他
【定 价】 128.00元
【内容简介】
本书主要介绍了几类很优控制问题的高效算法，包括了椭圆很优控制问题、抛物很优控制问题、双曲很优控制问题、四阶很优控制问题等新近热门领域，结合了作者本人在很优控制问题方面的研究成果，并根据作者对有限元方法、变分离散方法、混合有限元方法、有限体积法和谱方法的理解和研究生教学要求，全面、客观的评价了这几类很优控制问题的数值计算方法，并列举了很多数值算例，阐述了许多新的学术观点，具有较大的学术价值。
【目录】
Chapter1Introduction
Chapter2Somepreliminaries
2.1Sobolevspaces
2.2Finiteelementmethodsforellipticequations
2.2.1Apriorierrorestimates
2.2.2Aposteriorierrorestimates
2.2.3Superconvergence
2.3Mixedfiniteelementmethods
2.3.1Ellipticequations
2.3.2Parabolicequations
2.3.3Hyperbolicequations
2.4Optimalcontrolproblems
2.4.1Backgroundsandmotivations
2.4.2Sometypicalexamples
2.4.3Optimalityconditions
Chapter3Finiteelementmethodsforoptimalcontrolproblems
3.1Ellipticoptimalcontrolproblems
3.1.1Distributedellipticoptimalcontrolproblems
3.1.2Finiteelementdiscretization
3.1.3Aposteriorierrorestimates
3.2Parabolicoptimalcontrolproblems
3.2.1Fullydiscretefiniteelementapproximation
3.2.2Intermediateerrorestimates
3.2.3Superconvergence
3.3Optimalcontrolproblemswithoscillatingcoefficients
3.3.1Finiteelementscheme
3.3.2Multiscalefiniteelementscheme
3.3.3Homogenizationtheoryandrelatedestimates
3.3.4Convergenceanalysis
3.4Recoveryaposteriorierrorestimates
3.4.1Fullydiscretefiniteelementscheme
3.4.2Errorestimatesofintermediatevariables
3.4.3Superconvergence
3.4.4Aposteriorierrorestimates
3.5Numericalexamples
3.5.1Parabolicoptimalcontrolproblems
3.5.2Recoveryaposteriorierrorestimates
Chapter4Apriorierrorestimatesofmixedfiniteelementmethods
4.1Ellipticoptimalcontrolproblems
4.1.1Mixedfiniteelementscheme
4.1.2Apriorierrorestimates
4.2Parabolicoptimalcontrolproblems
4.2.1Mixedfiniteelementdiscretization
4.2.2Mixedmethodprojection
4.2.3Intermediateerrorestimates
4.2.4Apriorierrorestimates
4.3Hyperbolicoptimalcontrolproblems
4.3.1Mixedfiniteelementmethods
4.3.2Apriorierrorestimates
4.4Fourthorderoptimalcontrolproblems
4.4.1Mixedfiniteelementscheme
4.4.2L2-errorestimates
4.4.3L∞-errorestimates
4.5Nonlmearoptimalcontrolproblems
4.5.1Mixedfiniteelementdiscretization
4.5.2Errorestimates
4.6Numericalexamples
4.6.1Ellipticoptimalcontrolproblems
4.6.2Fourthorderoptimalcontrolproblems
Chapter5Aposteriorierrorestimatesofmixedfiniteelementmethods
5.1Ellipticoptimalcontrolproblems
5.1.1Mixedfiniteelementdiscretization
5.1.2Aposteriorierrorestimatesforcontrolvariable
5.1.3Aposteriorierrorestimatesforstatevariables
5.2Parabolicoptimalcontrolproblems
5.2.1Mixedfiniteelementapproximation
5.2.2Aposteriorierrorestimates
5.3Hyperbolicoptimalcontrolproblems
5.3.1Intermediateerrorestimates
5.3.2Aposteriorierrorestimatesforcontrolvariable
5.3.3Aposteriorierrorestimatesforstatevariables
5.4Nonlinearoptimalcontrolproblems
5.4.1Mixedfiniteelementdiscretization
5.4.2Intermediateerrorestimates
5.4.3Aposteriorierrorestimates
Chapter6Superconvergenceofmixedfiniteelementmethods
6.1Ellipticoptimalcontrolproblems
6.1.1Recoveryoperator
6.1.2Superconvergenceproperty
6.2Parabolicoptimalcontrolproblems
6.2.1Superconvergencefortheintermediateerrors
6.2.2Superconvergence
6.3Hyperbolicoptimalcontrolproblems
6.3.1Superconvergenceproperty
6.3.2Superconvergenceforthecontrolvariable
6.4Nonlinearoptimalcontrolproblems
6.4.1Superconvergencefortheintermediateerrors
6.4.2Globalsuperconvergence
6.4.3H—1—errorestimates
6.5Numericalexamples
6.5.1Ellipticoptimalcontrolproblems
6.5.2Nonlinearoptimalcontrolproblems
Chapter7Finitevolumeelementmethodsforoptimalcontrolproblems
7.1EllipticOptimalcontrolproblems
7.1.1Finitevolumeelementmethods
7.1.2L2—errorestimates
7.1.3H1errorestimates
7.1.4Maximum—normerrorestimates
7.2Parabolicoptimalcontrolproblems
7.2.1Crank—Nicolsonfinitevolumescheme
7.2.2ErrorestimatesofCN—FVEM
7.3Hyperbolicoptimalcontrolproblems
7.3.1Finitevolumeelementmethods
7.3.2Apriorierrorestimates
7.4Numericalexamples
7.4.1Ellipticoptimalcontrolproblems
7.4.2Parabolicoptimalcontrolproblems
7.4.3Hyperbolicoptimalcontrolproblems
Chapter8Variationaldiscretizationmethodsforoptimalcontrolproblems
8.1Variationaldiscretization
8.1.1Variationaldiscretizationscheme
8.1.2Apriorierrorestimates
8.1.3Aposteriorierrorestimates
8.2Mixedvariationaldiscretization
8.2.1Mixedfiniteelementapproximationandvariationaldiscretization
8.2.2Apriorierrorestimatesforsemi—discretescheme
8.2.3Apriorierrorestimatesforfullydiscretescheme
8.3Numericalexamples
8.3.1Variationaldiscretization
8.3.2Mixedvariationaldiscretization
Chapter9Legendre—Galerkinspectralmethodsforoptimalcontrolproblems
9.1Ellipticoptimalcontrolproblems
9.1.1Legendre—Galerkinspectralapproximation
9.1.2Regularityoftheoptimalcontrol
9.1.3Apriorierrorestimates
9.1.4Aposteriorierrorestimates
9.1.5Thehpspectralelementmethods
9.2Parabolicoptimalcontrolproblems
9.2.1Legendre—Galerkinspectralmethods
9.2.2Apriorierrorestimates
9.2.3Aposteriorierrorestimates
9.3OptimalcontrolproblemsgovernedbyStokesequations
9.3.1Legendre—Galerkinspectralapproximation
9.3.2Apriorierrorestimates
9.3.3Aposteriorierrorestimates
9.4Optimalcontrolproblemswithintegralstateandcontrolconstraints
9.4.1Legendre—Galerkinspectralscheme
9.4.2Apriorierrorestimates
9.4.3Aposteriorierrorestimates
9.5Numericalexamples
9.5.1Ellipticoptimalcontrolproblems
9.5.2OptimalcontrolproblemsgovernedbyStokesequations
9.5.3Optimalcontrolproblemswithintegralstateandcontrolconstraints
Bibliography
Index
【文摘】
精彩页
— 没有更多了 —
以下为对购买帮助不大的评价