Numerical Methods for Inverse Scattering Problems
Li, Jingzhi, Liu, Hongyu
- 出版商: Springer
- 出版日期: 2024-08-07
- 售價: $5,970
- 貴賓價: 9.5 折 $5,672
- 語言: 英文
- 頁數: 364
- 裝訂: Quality Paper - also called trade paper
- ISBN: 9819937744
- ISBN-13: 9789819937745
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商品描述
This book highlights the latest developments on the numerical methods for inverse scattering problems associated with acoustic, electromagnetic, and elastic waves. Inverse scattering problems are concerned with identifying unknown or inaccessible objects by wave probing data, which makes possible many industrial and engineering applications including radar and sonar, medical imaging, nondestructive testing, remote sensing, and geophysical exploration. The mathematical study of inverse scattering problems is an active field of research. This book presents a comprehensive and unified mathematical treatment of various inverse scattering problems mainly from a numerical reconstruction perspective. It highlights the collaborative research outputs by the two groups of the authors yet surveys and reviews many existing results by global researchers in the literature. The book consists of three parts respectively corresponding to the studies on acoustic, electromagnetic, and elastic scatteringproblems. In each part, the authors start with in-depth theoretical and computational treatments of the forward scattering problems and then discuss various numerical reconstruction schemes for the associated inverse scattering problems in different scenarios of practical interest. In addition, the authors provide an overview of the existing results in the literature by other researchers. This book can serve as a handy reference for researchers or practitioners who are working on or implementing inverse scattering methods. It can also serve as a graduate textbook for research students who are interested in working on numerical algorithms for inverse scattering problems.
商品描述(中文翻譯)
本書突顯了與聲波、電磁波和彈性波相關的逆散射問題數值方法的最新發展。逆散射問題涉及通過波探測數據識別未知或無法接觸的物體，這使得許多工業和工程應用成為可能，包括雷達和聲納、醫學影像、無損檢測、遙感和地球物理勘探。逆散射問題的數學研究是一個活躍的研究領域。本書從數值重建的角度，對各種逆散射問題進行了全面而統一的數學處理。它突顯了兩組作者的合作研究成果，同時回顧和評估了文獻中全球研究者的許多現有結果。本書分為三個部分，分別對應於聲散射、電磁散射和彈性散射問題的研究。在每個部分中，作者首先深入探討前向散射問題的理論和計算處理，然後討論在不同實際情境下與之相關的逆散射問題的各種數值重建方案。此外，作者還提供了其他研究者在文獻中現有結果的概述。本書可以作為研究人員或實務工作者的便捷參考，特別是那些從事或實施逆散射方法的人士。它也可以作為研究生教科書，適合對逆散射問題的數值算法感興趣的研究生。
作者簡介
Jingzhi LI is a professor at Department of Mathematics, Southern University of Science and Technology (SUSTech), China. He completed his Ph.D. study in Applied Mathematics in 2009 from the Chinese University of Hong Kong. His Ph.D. research was awarded Best Dissertation Award by the Mathematical Society of Hong Kong in 2011. Then, he spent two years working in the Department of Mathematics, ETH Zurich, Switzerland, as postdoctoral fellow. In 2011, he took an assistant professor position at Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences (CAS). In early 2012, he was enlisted in the Thousand Young Talents Recruitment Program of the Chinese government, top tier global recruitment program for young overseas scholars, and acquired early-career funding. He joined SUSTech in 2012 and served as an associate professor and then a full professor.
Hongyu LIU is a professor of Mathematics at the City University of Hong Kong, China. He obtained his Ph.D. in Mathematics from The Chinese University of Hong Kong in 2007. Before taking up the current position, he held faculty positions in Hong Kong Baptist University, the University of North Carolina at Charlotte in USA, the University of Reading in UK, and the University of Washington at Seattle in the USA. His research interests include inverse problems for partial differential equations, wave propagations, mathematical materials science, scattering theory, spectral theory, scientific computing, and machine learning. His research recognitions include the Calderon Prize by the Inverse Problems International Association, a Changjiang Chair Professorship by the Ministry of Education of China, and Hong Kong Mathematical Society Young Scholar Award.
Hongyu LIU is a professor of Mathematics at the City University of Hong Kong, China. He obtained his Ph.D. in Mathematics from The Chinese University of Hong Kong in 2007. Before taking up the current position, he held faculty positions in Hong Kong Baptist University, the University of North Carolina at Charlotte in USA, the University of Reading in UK, and the University of Washington at Seattle in the USA. His research interests include inverse problems for partial differential equations, wave propagations, mathematical materials science, scattering theory, spectral theory, scientific computing, and machine learning. His research recognitions include the Calderon Prize by the Inverse Problems International Association, a Changjiang Chair Professorship by the Ministry of Education of China, and Hong Kong Mathematical Society Young Scholar Award.
作者簡介(中文翻譯)
李京志是中國南方科技大學數學系的教授。他於2009年在香港中文大學完成應用數學的博士學位。其博士研究於2011年獲得香港數學學會頒發的最佳論文獎。隨後，他在瑞士蘇黎世聯邦理工學院數學系擔任博士後研究員兩年。2011年，他在中國科學院深圳先進技術研究院擔任助理教授。2012年初，他被列入中國政府的千人計畫，這是一項針對年輕海外學者的全球頂尖招聘計畫，並獲得早期職業資助。他於2012年加入南方科技大學，先後擔任副教授和正教授。
劉洪宇是中國香港城市大學的數學教授。他於2007年在香港中文大學獲得數學博士學位。在擔任目前職位之前，他曾在香港浸會大學、美國北卡羅來納州夏洛特大學、英國雷丁大學以及美國西雅圖華盛頓大學擔任教職。他的研究興趣包括偏微分方程的逆問題、波的傳播、數學材料科學、散射理論、譜理論、科學計算和機器學習。他的研究成就包括獲得逆問題國際協會的卡爾德隆獎、中國教育部的長江學者講座教授以及香港數學學會的青年學者獎。
