Inverse Problems with Applications in Science and Engineering

Lesnic, Daniel

Inverse Problems with Applications in Science and Engineering
  • 出版商: CRC
  • 出版日期: 2024-01-29
  • 售價: $2,340
  • 貴賓價: 9.5 折 $2,223
  • 語言: 英文
  • 頁數: 342
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 1032125381
  • ISBN-13: 9781032125381

    • 海外代購書籍(需單獨結帳)

相關主題

商品描述

Driven by 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 and Stokes), parabolic (heat, convection, reaction and diffusion) and hyperbolic (wave)

  • Excellent reference for post-graduates and researchers in mathematics, engineering and any other scientific discipline that deals 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)

由於工業數學的進步和對影響案例研究的需求，「逆問題在科學和工程中的應用」全面檢視了部分微分方程（PDEs）的一些代表性逆問題和不适定問題的最新狀態。這個檢視的自然實際應用包括熱傳、靜電學、多孔介質、聲學、流體力學和固體力學，這些都在本書中得到了討論。

特點：
- 包括所有類型的PDEs，即橢圓型（拉普拉斯、亥姆霍茲、修正亥姆霍茲、雙調和和斯托克斯）、抛物型（熱、對流、反應和擴散）和双曲型（波動）
- 是研究逆問題的數學、工程和其他科學學科的碩士研究生和研究人員的優秀參考資料
- 同時包含解決所有類型逆問題和不适定問題的理論和數值算法

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博士（1995年在利茲大學獲得博士學位，自2008年起擔任應用數學教授）一直致力於各種工業和環境數學反問題的研究，並與國內外的科學家、工程師和實驗者保持密切和持久的聯繫。研究主題包括熱傳和質量傳遞、多孔介質、岩石力學、彈性、流體流動、生物熱傳導、氣溶膠力學和聲學等，特別應用於石油、核能和玻璃工業、醫學、腐蝕工程、河流污染、熱障和防反射塗層等領域。Lesnic教授是《反問題和不良問題期刊》、《科學與工程中的反問題》和《IMA應用數學期刊》的副編輯，並在應用數學領域發表了400多篇論文（http://www1.maths.leeds.ac.uk/applied/staff.dir/lesnic/papers.html），編輯了三個會議論文集，並擔任多個反問題期刊特刊的客座編輯。他還是倫敦數學學會（LMS）和歐亞反問題協會的成員。

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