國立高雄大學圖資館 |

Language: English

Back

非線性偶合薛丁格方程數值解的行為 = Numerical Solutio...

劉建祥

非線性偶合薛丁格方程數值解的行為 = Numerical Solution Profiles of the Coupled Nonlinear Schr螌dinger Equations

Record Type:	Language materials, printed : monographic
Paralel Title:	Numerical Solution Profiles of the Coupled Nonlinear Schr螌dinger Equations
Author:	劉建祥,
Secondary Intellectual Responsibility:	國立高雄大學
Place of Publication:	[高雄市]
Published:	撰者;
Year of Publication:	2008[民97]
Description:	94面圖，表 : 30公分;
Subject:	非線性偶合薛丁格方程
Subject:	Coupled nonlinear Schrödinger equations
Online resource:	http://handle.ncl.edu.tw/11296/ndltd/42140324117045252594
Notes:	指導教授：王偉仲
Notes:	參考書目：面89
Summary:	本篇論文利用一些演算法，藉著數值計算，然後模擬非線性偶合薛丁格方程數值解的行為。我們用的演算法分別為固定點迭代法 ( Fixed Point Method ) 以及加平面限制延拓法 ( Hyperplane-Constrained Continuation Method )。在介紹這兩個演算法的精神與過程後，會展示出一些數值實驗的簡介以及結果。最後再提供一些不同定義域跟不同邊界條件下，二階微分的 Laplacian 用有限差分法，離散化成一個矩陣的過程。In this thesis, we use some algorithms to simulate the solutions type of coupled nonlinear Schr螌dinger equations. The main algorithms used by us are the Fixed Point Method and the Hyperplane-Constrained Continuation Method. We will summarize the two methods and present the results of numerical experiments designed to showcase some of the more interesting behavior. Finally we arrange the courses of the discrete Laplacian using the Finite Different Method for specific domains and boundary conditions.

非線性偶合薛丁格方程數值解的行為 = Numerical Solution Profiles of the Coupled Nonlinear Schr螌dinger Equations
劉, 建祥

非線性偶合薛丁格方程數值解的行為 = Numerical Solution Profiles of the Coupled Nonlinear Schr螌dinger Equations / 劉建祥撰 - [高雄市] : 撰者, 2008[民97]. - 94面 ; 圖，表 ; 30公分.
指導教授：王偉仲參考書目：面89.
非線性偶合薛丁格方程Coupled nonlinear Schrödinger equations

非線性偶合薛丁格方程數值解的行為 = Numerical Solution Profiles of the Coupled Nonlinear Schr螌dinger Equations
LDR:02277nam0a2200289 450 001 133661
005 20170214094123.0
009 133661
010 0 $b 精裝
010 0 $b 平裝
100 $a 20170214y2008 k y0chiy09 b
101 1 $a eng $d chi $d eng
102 $a tw
105 $a ak am 000yy
200 1 $a 非線性偶合薛丁格方程數值解的行為 $d Numerical Solution Profiles of the Coupled Nonlinear Schr螌dinger Equations $z eng $f 劉建祥撰
210 $a [高雄市] $c 撰者 $d 2008[民97]
215 0 $a 94面 $c 圖，表 $d 30公分
300 $a 指導教授：王偉仲
300 $a 參考書目：面89
328 $a 碩士論文--國立高雄大學應用數學系碩士班
330 $a 本篇論文利用一些演算法，藉著數值計算，然後模擬非線性偶合薛丁格方程數值解的行為。我們用的演算法分別為固定點迭代法 ( Fixed Point Method ) 以及加平面限制延拓法 ( Hyperplane-Constrained Continuation Method )。在介紹這兩個演算法的精神與過程後，會展示出一些數值實驗的簡介以及結果。最後再提供一些不同定義域跟不同邊界條件下，二階微分的 Laplacian 用有限差分法，離散化成一個矩陣的過程。In this thesis, we use some algorithms to simulate the solutions type of coupled nonlinear Schr螌dinger equations. The main algorithms used by us are the Fixed Point Method and the Hyperplane-Constrained Continuation Method. We will summarize the two methods and present the results of numerical experiments designed to showcase some of the more interesting behavior. Finally we arrange the courses of the discrete Laplacian using the Finite Different Method for specific domains and boundary conditions.
510 1 $a Numerical Solution Profiles of the Coupled Nonlinear Schr螌dinger Equations $z eng
610 0 $a 非線性偶合薛丁格方程 $a 固定點迭代法 $a 加平面限制延拓法 $a 有限差分法
610 1 $a Coupled nonlinear Schrödinger equations $a Fixed Point Method $a Hyperplane-Constrained Continuation Method $a Finite Different Method
681 $a 008M/0019 $b 462101 7213 $v 增訂八版
700 1 $a 劉 $b 建祥 $4 撰 $3 36853
712 0 2 $a 國立高雄大學 $b 應用數學系碩士班 $3 166142
801 0 $a tw $b NUK $c 20081017 $g CCR
801 1 $a tw $b NUK $c 20081017 $g CCR
856 7 $z 電子資源 $2 http $u http://handle.ncl.edu.tw/11296/ndltd/42140324117045252594