Inverse Problems with Applications in Science and Engineering
暫譯: 科學與工程中的反問題應用
Lesnic, Daniel
- 出版商: CRC
- 出版日期: 2021-11-10
- 售價: $4,910
- 貴賓價: 9.5 折 $4,665
- 語言: 英文
- 頁數: 342
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 0367001985
- ISBN-13: 9780367001988
海外代購書籍(需單獨結帳)
商品描述
Driven the advancement of industrial mathematics and the need for impact case studies, Inverse Problems with Applications in Science and Engineering thoroughly examines the state-of-the-art of some representative classes of inverse and ill-posed problems for partial differential equations (PDEs). The natural practical applications of this examination arise in heat transfer, electrostatics, porous media, acoustics, fluid and solid mechanics -- all of which are addressed in this text.
Features:
- Covers all types of PDEs, namely, elliptic (Laplace's, Helmholtz, modified Helmholtz, biharmonic, Stokes), parabolic (heat, convection-reaction-diffusion) and hyperbolic (wave)
- Excellent reference for post-graduates and researchers in mathematics, engineering, and any other scientific disciplines that deal with inverse problems
- Contains both theory and numerical algorithms for solving all types of inverse and ill-posed problems.
商品描述(中文翻譯)
驅動工業數學的進步以及對影響案例研究的需求，科學與工程中的反問題應用徹底檢視了一些代表性類別的反問題和病態問題在偏微分方程（PDEs）中的最先進狀態。這項檢視的自然實際應用出現在熱傳導、靜電學、多孔介質、聲學、流體和固體力學等領域，這些都在本書中有所探討。
特色：
- 涵蓋所有類型的偏微分方程，即橢圓型（拉普拉斯方程、亥姆霍茲方程、修正亥姆霍茲方程、雙調和方程、斯托克斯方程）、拋物型（熱方程、對流-反應-擴散方程）和雙曲型（波方程）。
- 對於數學、工程及任何處理反問題的科學學科的研究生和研究人員來說，都是極佳的參考資料。
- 包含解決各類反問題和病態問題的理論與數值演算法。
作者簡介
For the past 30 years, Daniel Lesnic (PhD 1995, Leeds University, Professor in Applied Mathematics since 2008) has worked on a diverse range of industrial and environmental mathematical inverse problems which have involved close and lasting contact with various scientists, engineers and experimentalists, both nationally and internationally. Topics include heat and mass transfer, porous media, rock mechanics, elasticity, fluid flow, bio-heat conduction, mechanics of aerosols and acoustics, with particular applications in the oil, nuclear and glass industries, medicine, corrosion engineering, river pollution, thermal barriers and anti-reflective coatings. Professor Lesnic is the Associate Editor of the Journal of Inverse and Ill-Posed Problems, Inverse Problems in Science and Engineering and the IMA Journal of Applied Mathematics and has published over 400 papers (http: //www1.maths.leeds.ac.uk/applied/staff.dir/lesnic/papers.html) in applied mathematics, edited three conference proceedings and was the Guest Editor of several journal issues on inverse problems. He is also a member of the London Mathematical Society (LMS) and the Eurasian Association for Inverse Problems.
作者簡介(中文翻譯)
在過去的30年中，Daniel Lesnic（1995年獲得劍橋大學博士學位，自2008年起擔任應用數學教授）專注於各種工業和環境數學反問題，並與國內外的科學家、工程師和實驗工作者保持密切而持久的聯繫。研究主題包括熱傳遞和質量傳遞、多孔介質、岩石力學、彈性、流體流動、生物熱傳導、氣溶膠力學和聲學，特別應用於石油、核能和玻璃工業、醫學、腐蝕工程、河流污染、熱障和抗反射塗層等領域。Lesnic教授是《反問題與不良問題期刊》（Journal of Inverse and Ill-Posed Problems）、《科學與工程中的反問題》（Inverse Problems in Science and Engineering）以及《應用數學IMA期刊》（IMA Journal of Applied Mathematics）的副編輯，並在應用數學領域發表了超過400篇論文（http://www1.maths.leeds.ac.uk/applied/staff.dir/lesnic/papers.html），編輯了三本會議論文集，並擔任多個反問題期刊特刊的客座編輯。他也是倫敦數學學會（London Mathematical Society, LMS）和歐亞反問題協會的成員。
