Computational Mathematics and Variational Analysis
暫譯: 計算數學與變分分析
Daras, Nicholas J., Rassias, Themistocles M.
- 出版商: Springer
- 出版日期: 2021-06-06
- 售價: $6,780
- 貴賓價: 9.5 折 $6,441
- 語言: 英文
- 頁數: 568
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3030446271
- ISBN-13: 9783030446277
海外代購書籍(需單獨結帳)
相關主題
商品描述
This volume presents a broad discussion of computational methods and theories on various classical and modern research problems from pure and applied mathematics. Readers conducting research in mathematics, engineering, physics, and economics will benefit from the diversity of topics covered. Contributions from an international community treat the following subjects: calculus of variations, optimization theory, operations research, game theory, differential equations, functional analysis, operator theory, approximation theory, numerical analysis, asymptotic analysis, and engineering.
Specific topics include algorithms for difference of monotone operators, variational inequalities in semi-inner product spaces, function variation principles and normed minimizers, equilibria of parametrized N-player nonlinear games, multi-symplectic numerical schemes for differential equations, time-delay multi-agent systems, computational methods in non-linear design of experiments, unsupervised stochastic learning, asymptotic statistical results, global-local transformation, scattering relations of elastic waves, generalized Ostrowski and trapezoid type rules, numerical approximation, Szász Durrmeyer operators and approximation, integral inequalities, behaviour of the solutions of functional equations, functional inequalities in complex Banach spaces, functional contractions in metric spaces.
商品描述(中文翻譯)
本卷廣泛討論了純數學和應用數學中各種經典及現代研究問題的計算方法和理論。從事數學、工程、物理和經濟學研究的讀者將從所涵蓋的多樣主題中受益。來自國際社群的貢獻涵蓋以下主題：變分法、優化理論、運籌學、博弈論、微分方程、泛函分析、算子理論、逼近理論、數值分析、漸近分析和工程。
具體主題包括單調算子的差異算法、半內積空間中的變分不等式、函數變化原則和範數最小化器、參數化 N 玩家非線性博弈的均衡、多辛數值方案用於微分方程、時間延遲多智能體系統、非線性實驗設計中的計算方法、無監督隨機學習、漸近統計結果、全局-局部轉換、彈性波的散射關係、廣義 Ostrowski 和梯形類型規則、數值逼近、Szász Durrmeyer 算子及其逼近、積分不等式、泛函方程解的行為、複數 Banach 空間中的泛函不等式、度量空間中的泛函收縮。
作者簡介
Nicholas J. Daras is the Dean and professor of mathematics at the Hellenic Military Academy. He has authored over 70 articles including 18 books and has edited 7 books. Professor Daras has received a “best paper in mathematics Award” by the Academy of Athens. Daras is also the supervisor of several doctoral, masters, and diploma theses.
Themistocles M. Rassias is professor of mathematics at the National Technical University of Athens. His research interests include nonlinear analysis, global analysis, approximation theory, functional analysis, functional equations, inequalities and their applications. Professor Rassias received his PhD in mathematics from the University of California, Berkeley in 1976; his thesis advisor was Stephen Smale and his academic advisor was Shiing-Shen Chern. In addition to his extensive list of journal publications, Professor Rassias has published as author or volume editor several books published with Springer. Th. M. Rassias has received several awards and is an active editorial board member of an array of journals in mathematical analysis and optimization. His publications have received a large number of citations, with h-index 46.
作者簡介(中文翻譯)
Nicholas J. Daras 是希臘軍事學院的數學院院長及教授。他已發表超過70篇文章，包括18本書籍，並編輯了7本書。Daras教授曾獲得雅典學院頒發的「最佳數學論文獎」。他也是多篇博士、碩士及文憑論文的指導教授。
Themistocles M. Rassias 是雅典國立技術大學的數學教授。他的研究興趣包括非線性分析、全局分析、逼近理論、函數分析、函數方程、不等式及其應用。Rassias教授於1976年在加州大學伯克利分校獲得數學博士學位；他的論文指導教授是Stephen Smale，學術指導教授是Shiing-Shen Chern。除了他廣泛的期刊發表列表外，Rassias教授還作為作者或卷編輯出版了幾本與Springer合作的書籍。Th. M. Rassias獲得了多項獎項，並且是多本數學分析和優化期刊的活躍編輯委員會成員。他的出版物獲得了大量引用，h-index為46。
