In this paper,we introduce a three-step composite implicit iteration process for approximating the common fixed point of three uniformly continuous and asymptotically generalizedΦ-hemicontractive mappings in the inte...In this paper,we introduce a three-step composite implicit iteration process for approximating the common fixed point of three uniformly continuous and asymptotically generalizedΦ-hemicontractive mappings in the intermediate sense.We prove that our proposed iteration process converges to the common fixed point of three finite family of asymptotically generalizedΦ-hemicontractive mappings in the intermediate sense.Our results extends,improves and complements several known results in literature.展开更多
The composite implicit iteration process introduced by Su and Li [J. Math. Anal. Appl. 320 (2006) 882-891] is modified. A strong convergence theorem for approximation of common fixed points of finite family of k-stric...The composite implicit iteration process introduced by Su and Li [J. Math. Anal. Appl. 320 (2006) 882-891] is modified. A strong convergence theorem for approximation of common fixed points of finite family of k-strictly asymptotically pseudo-contractive mappings is proved in Banach spaces using the modified iteration process.展开更多
In this paper, based on the implicit Runge-Kutta(IRK) methods, we derive a class of parallel scheme that can be implemented on the parallel computers with Ns(N is a positive even number) processors efficiently, and di...In this paper, based on the implicit Runge-Kutta(IRK) methods, we derive a class of parallel scheme that can be implemented on the parallel computers with Ns(N is a positive even number) processors efficiently, and discuss the iteratively B-convergence of the Newton iterative process for solving the algebraic equations of the scheme, secondly we present a strategy providing initial values parallelly for the iterative process. Finally, some numerical results show that our parallel scheme is higher efficient as N is not so large.展开更多
数值天气预报是天气预报业务和防灾减灾的核心科技。中国数值天气预报研究和业务应用一直受到高度重视,在基础理论研究、关键技术突破和业务系统研制方面取得了有广泛国际影响力的研究成果。在回顾中国数值天气预报技术及业务系统发展...数值天气预报是天气预报业务和防灾减灾的核心科技。中国数值天气预报研究和业务应用一直受到高度重视,在基础理论研究、关键技术突破和业务系统研制方面取得了有广泛国际影响力的研究成果。在回顾中国数值天气预报技术及业务系统发展基础上,重点综述中国自主发展的GRAPES(Global Regional Assimilation and PrEdiction System)和YHGSM(YinHe Global Spectral Model)两大业务预报系统的重要科技进展。GRAPES在模式动力框架、四维变分资料同化、卫星资料同化技术、雷达资料同化应用、集合预报和云物理过程等方面实现了技术突破,建立了无缝隙的、包含确定性预报和集合预报系统的中国气象局数值天气预报业务体系。YHGSM持续走谱模式发展路线,突破了干空气质量守恒全球大气谱模式、集合四维变分资料同化、海-陆-气耦合集合预报等技术,建立了以高分辨率全球中期和月延伸数值预报系统为核心的数值预报体系。军队和地方自主研发的数值天气预报系统是长期坚持既定科学技术方向、学术研究和业务研制紧密结合的结果。展开更多
文摘In this paper,we introduce a three-step composite implicit iteration process for approximating the common fixed point of three uniformly continuous and asymptotically generalizedΦ-hemicontractive mappings in the intermediate sense.We prove that our proposed iteration process converges to the common fixed point of three finite family of asymptotically generalizedΦ-hemicontractive mappings in the intermediate sense.Our results extends,improves and complements several known results in literature.
文摘The composite implicit iteration process introduced by Su and Li [J. Math. Anal. Appl. 320 (2006) 882-891] is modified. A strong convergence theorem for approximation of common fixed points of finite family of k-strictly asymptotically pseudo-contractive mappings is proved in Banach spaces using the modified iteration process.
基金national natural science foundation natural science foundation of Gansu province.
文摘In this paper, based on the implicit Runge-Kutta(IRK) methods, we derive a class of parallel scheme that can be implemented on the parallel computers with Ns(N is a positive even number) processors efficiently, and discuss the iteratively B-convergence of the Newton iterative process for solving the algebraic equations of the scheme, secondly we present a strategy providing initial values parallelly for the iterative process. Finally, some numerical results show that our parallel scheme is higher efficient as N is not so large.
文摘数值天气预报是天气预报业务和防灾减灾的核心科技。中国数值天气预报研究和业务应用一直受到高度重视,在基础理论研究、关键技术突破和业务系统研制方面取得了有广泛国际影响力的研究成果。在回顾中国数值天气预报技术及业务系统发展基础上,重点综述中国自主发展的GRAPES(Global Regional Assimilation and PrEdiction System)和YHGSM(YinHe Global Spectral Model)两大业务预报系统的重要科技进展。GRAPES在模式动力框架、四维变分资料同化、卫星资料同化技术、雷达资料同化应用、集合预报和云物理过程等方面实现了技术突破,建立了无缝隙的、包含确定性预报和集合预报系统的中国气象局数值天气预报业务体系。YHGSM持续走谱模式发展路线,突破了干空气质量守恒全球大气谱模式、集合四维变分资料同化、海-陆-气耦合集合预报等技术,建立了以高分辨率全球中期和月延伸数值预报系统为核心的数值预报体系。军队和地方自主研发的数值天气预报系统是长期坚持既定科学技术方向、学术研究和业务研制紧密结合的结果。
