非線性發展方程的有限差分方法 (英文版) 孫志忠 張啟峰 高廣花 9787030747914 【台灣高等教育出版社】

*完成訂單後正常情形下約兩周可抵台。
*本賣場提供之資訊僅供參考，以到貨標的為正確資訊。
印行年月：202301*若逾兩年請先於客服中心或Line洽詢存貨情況，謝謝。
台灣(台北市)在地出版社，每筆交易均開具統一發票，祝您中獎最高1000萬元。
書名：非線性發展方程的有限差分方法 (英文版)
ISBN：9787030747914
出版社：科學
著編譯者：孫志忠 張啟峰 高廣花
叢書名：信息與計算科學叢書
頁數：416
所在地：中國大陸 *此為代購商品
書號：1524678
可大量預訂，請先連絡。

內容簡介

《非線性發展方程的有限差分方法(英文版)(精)》針對應用科學中的介紹了12個重要的非線性演化方程的有限差分方法的最新研究成果，包括微分方程問題解的守恆性和有界性分析、差分方法的建立、差分解的守恆性和有界性分析、差分解的存在性分析、差分解收斂性的證明、差分格式的求解等內容。建立的差分求解格式包括非線性差分格式和線性化差分格式。12個非線性演化方程如下：Fisher方程、Burgers方程、正則長波方程、Korteweg-deVries方程、Camassa-Holm方程、Schr dinger方程、Kuramoto-Tsuzuki方程、Zakharov方程、Ginzburg-Landau方程、Cahn-Hilliard方程、外延增長模型方程和相場晶體模型方程。

作者簡介

孫志忠，男，1963年3月生。1984年、1987年在南京大學先後獲得學士學位、碩士學位。1990年在中國科學院計算中心（現計算數學與科學工程計算研究所）獲得博士學位。1990年至今在東南大學數學系任教。現為教授，博士生導師。1997年開始招收研究生。曾經擔任東南大學數學建模隊教練11年，榮獲「全國數學建模優秀教練員」稱號，榮獲江蘇省高等教育教學成果一等獎，江蘇省科學技術獎三等獎，江蘇省高校「青藍工程」中青年學術帶頭人。

目錄

Contents
Preface
About the Authors
1 Difference methods for the Fisher equation
1 1 Introduction
1 2 Notation and lemmas
1 3 Forward Euler difference scheme
1 3 1 Derivation of the difference scheme
1 3 2 Solvability and convergence of the difference scheme
1 4 Backward Euler difference scheme
1 4 1 Derivation of the difference scheme
1 4 2 Existence and convergence of the difference solution
1 5 Crank-Nicolson difference scheme
1 5 1 Derivation of the difference scheme
1 5 2 Existence and convergence of the difference solution
1 6 Fourth-order compact difference scheme
1 6 1 Derivation of the difference scheme
1 6 2 Existence and convergence of difference solution
1 7 Three-level linearized difference scheme
1 7 1 Derivation of the difference scheme
1 7 2 Existence and convergence of the difference solution
1 8 Numerical experiments
1 9 Summary and extension
2 Difference methods for the Burgers』 equation
2 1 Introduction
2 2 Two-level nonlinear difference scheme
2 2 1 Derivation of the difference scheme
2 2 2 Conservation and boundedness of the difference solution
2 2 3 Existence and uniqueness of the difference solution
2 2 4 Convergence of the difference solution
2 3 Three-level linearized difference scheme
2 3 1 Derivation of the difference scheme
2 3 2 Existence and uniqueness of the difference solution
2 3 3 Conservation and boundedness of the difference solution
2 3 4 Convergence of the difference solution
2 4 Hopf-Cole transformation and fourth-order difference scheme
2 4 1 Hopf-Cole transformation
2 4 2 Derivation of the difference scheme
2 4 3 Existence and uniqueness of the difference solution
2 4 4 Convergence of the difference solution
2 4 5 Calculation of the solution of the original problem
2 5 Fourth-order compact two-level nonlinear difference scheme
2 5 1 Derivation of the difference scheme
2 5 2 Conservation and boundedness of the difference solution
2 5 3 Existence and uniqueness of the difference solution
2 5 4 Convergence of the difference solution
2 5 5 Stability of the difference solution
2 6 Numerical experiments
2 7 Summary and extension
3 Difference methods for the regularized long-wave equation
3 1 Introduction
3 2 Two-level nonlinear difference scheme
3 2 1 Derivation of the difference scheme
3 2 2 Existence of the difference solution
3 2 3 Conservation and boundedness of the difference solution
3 2 4 Uniqueness of the difference solution
3 2 5 Convergence of the difference solution
3 3 Three-level linearized difference scheme
3 3 1 Derivation of the difference scheme
3 3 2 Conservation and boundedness of the difference solution
3 3 3 Existence and uniqueness of the difference solution
3 3 4 Convergence of the difference solution
3 4 Numerical experiments
3 5 Summary and extension
4 Difference methods for the Korteweg-de Vries equation
4 1 Introduction
4 2 First-order in space two-level nonlinear difference scheme
4 2 1 Derivation of the difference scheme
4 2 2 Existence of the difference solution
4 2 3 Conservation and boundedness of the difference solution
4 2 4 Convergence of the difference solution
4 3 First-order in space three-level linearized difference scheme
4 3 1 Derivation of the difference scheme
4 3 2 Existence and uniqueness of the difference solution
4 3 3 Conservation and boundedness of the difference solution
4 3 4 Convergence of the difference solution
4 4 Second-order in space two-level nonlinear difference scheme
4 4 1 Derivation of the difference scheme
4 4 2 Existence of the difference solution
4 4 3 Conservation and boundedness of the difference solution
4 4 4 Convergence and uniqu
詳細資料或其他書籍請至台灣高等教育出版社查詢，查後請於客服中心或Line或本社留言板留言，我們即儘速上架。

大陸簡體正版圖書，訂購後正常情形下約兩周可抵台。