Iteration scheme with errors for zero point of m - accretive mappings in banach space 增生映射零點(diǎn)的帶誤差項(xiàng)的迭代格式
The iteration scheme with errors for zero point of maximal monotone operator in hilbert space 賦范線性空間中一類算子的不動(dòng)點(diǎn)逼近問(wèn)題
We make a little modification for original iteration scheme and construct a series iteration method so as to improve the pseudo - symplecticity , even raise the pseudo - symplectic order 為此,我們對(duì)原有的迭代做一微小修改及構(gòu)造了一個(gè)級(jí)數(shù)迭代方法,使得擬辛性得到改善,甚至擬辛階獲得了提高。
In this thesis , we present the research work about the pseudo - symplecticity of iteration schemes in implicit symplectic rk methods as well as the parallel waveform relaxation implementation theory for symplectic methods 本文主要研究了隱式辛rk算法迭代求解的擬辛理論及辛方法的波形松弛并行實(shí)現(xiàn)理論。
In order to solve two - dimension three - temperature energy equations over an irregular quadrangle grid , a lot of researches have been done in literature , and several different approaches have been proposed , such as five - point difference scheme , nine - point difference scheme , flux iteration scheme , finite element scheme , etc . up to now , the nine - point difference scheme is in general recognized as the better one and is used more generally 為了在不規(guī)則四邊形網(wǎng)格上求解二維三溫能量方程,長(zhǎng)期以來(lái)人們已作了大量研究,先后提出了五點(diǎn)差分格式、九點(diǎn)差分格式、流迭代格式及有限元格式等等。迄今為止,人們公認(rèn)較好且應(yīng)用較廣的是九點(diǎn)差分格式。
This dissertation investigates both existence of traveling wave solutions for delayed reaction diffusion systems and lattice differential equations , and global attractor of spatially discretized fitzhugh - nagumo equations with dirichlet or neumann boundary conditions . for delayed reaction diffusion systems , the existence of traveling wavefronts in diffusive and coorperative system with time delays is provided , firstly ; the monotone iteration scheme , together with upper - lower solution technique , is applied to establish the existence of traveling wavefronts of delayed reaction diffusion systems with some zero diffusive coefficients . secondly , schauder fixed point theorem is applied to some operators to prove the existence of traveling wave solutions in a properly subset equipped with exponential decay norm , which is obtained from a pair of upper and lower solutions for delayed reaction diffusion systems with non - quasimonotoiiicity 對(duì)于時(shí)滯反應(yīng)擴(kuò)散方程,我們先利用吳建宏和鄒幸福[ j . dynam . diff . eqns2001 ( 3 ) ]中的主要定理來(lái)研究時(shí)滯競(jìng)爭(zhēng)擴(kuò)散lotka - volterra系統(tǒng)波前解的存在性,給出了這個(gè)定理在非線性項(xiàng)滿足弱擬單調(diào)條件( qm * )時(shí)在系統(tǒng)情況中的應(yīng)用;并利用單調(diào)迭代方法和上、下解技術(shù),對(duì)于具有部分零擴(kuò)散系數(shù)的時(shí)滯反應(yīng)擴(kuò)散方程建立波前解的存在性定理,對(duì)于具有部分零擴(kuò)散系數(shù)的時(shí)滯反應(yīng)擴(kuò)散方程建立波前解的存在性定理。