Uncertainty Quantification in Variational Inequalities: Theory, Numerics, and Applications

「不確定性量化（Uncertainty Quantification，UQ）」是一個新興且非常活躍的研究領域，旨在定量處理應用模型中的任何不確定性。《變分不等式中的不確定性量化：理論、數值和應用》的主要目標是全面介紹變分不等式中的不確定性量化及其從各種網絡、經濟和工程模型中出現的一些概括。其中一些發展的技術也適用於機器學習、神經網絡和相關領域。

特點：
- 首本關於從各種網絡、經濟和工程模型中出現的變分不等式中的不確定性量化的書籍
- 完全自成一體，風格清晰易懂
- 面向廣泛的讀者，包括應用數學家、工程師、經濟學家和學術界的專業人士
- 包含迄今僅在研究文獻中可得的最新發展

Joachim Gwinner is a retired Professor at the University of the Federal Army Munich. He earned his Ph.D. from University Mannheim in 1978. Then he was with Daimler-Benz company at Stuttgart for six years. After that, he became an Assistant Professor at Technical University Darmstadt and earned his Habilitation in 1989. His research interests lie in nonlinear and variational analysis, numerical analysis of partial differential equations, optimization theory and methods, and applications in continuum mechanics. He is the co-author of the monograph Advanced Boundary Element Methods: Treatment of Boundary Value, Transmission and Contact Problems.

Baasansuren Jadamba earned her Ph.D. in Applied Mathematics and Scientific Computing from Friedrich-Alexander University Erlangen-Nuremberg (Germany) in 2004, and she is an Associate Professor at the School of Mathematical Sciences at the Rochester Institute of Technology. Her research interests and publications are in the numerical analysis of partial differential equations, finite element methods, parameter identification in partial differential equations, and stochastic equilibrium problems.

Akhtar A. Khan is a Professor at the Rochester Institute of Technology. His research interests include inverse problems, optimal control, variational inequalities, and set-valued optimization. He is a co-author of the monograph Set-valued Optimization: An Introduction with Applications, Springer (2015) and co-editor of Nonlinear Analysis and Variational Problems: In Honor of George Isac, Springer (2009).

Fabio Raciti earned his Ph.D. in Theoretical Physics from the University of Catania (Italy), where he has been an Assistant Professor and then an Associate Professor of Mathematical Analysis. He is currently an Associate Professor of Operations Research at the University of Catania and has received the National (Italian) Habilitation as a Full Professor of Operations Research. He has published research work in the field of variational inequalities, optimization, inverse problems, and stochastic equilibrium problems.

Joachim Gwinner是慕尼黑聯邦軍大學的退休教授。他於1978年在曼海姆大學獲得博士學位。之後，他在斯圖加特的戴姆勒-奔馳公司工作了六年。之後，他成為了達姆施塔特工業大學的助理教授，並於1989年獲得了博士後資格。他的研究興趣包括非線性和變分分析、偏微分方程的數值分析、優化理論和方法，以及在連續力學中的應用。他是專著《高級邊界元方法：邊界值、傳輸和接觸問題的處理》的合著者。

Baasansuren Jadamba於2004年在德國埃爾朗根-紐倫堡的弗萊迪希-亞歷山大大學獲得應用數學和科學計算的博士學位，她是羅徹斯特理工學院數學科學學院的副教授。她的研究興趣和出版物涉及偏微分方程的數值分析、有限元方法、偏微分方程的參數識別和隨機均衡問題。

Akhtar A. Khan是羅徹斯特理工學院的教授。他的研究興趣包括反問題、最優控制、變分不等式和集值優化。他是專著《集值優化：引言與應用》（Springer，2015）的合著者，也是《非線性分析和變分問題：為了紀念喬治·伊薩克》（Springer，2009）的合編者。

Fabio Raciti在意大利卡塔尼亞大學獲得理論物理學博士學位，曾任數學分析助理教授和副教授。他目前是卡塔尼亞大學的運籌學副教授，並獲得了全職運籌學教授的國家（意大利）資格。他在變分不等式、優化、反問題和隨機均衡問題領域發表了研究成果。