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Inverse Problems with Applications in Science and Engineering

Daniel Lesnic
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Adjoint Problems
advanced engineering mathematics
Author_Daniel Lesnic
Backward Heat Conduction Problem
Category=PB
Category=PBKJ
Category=PBT
Category=PBW
Category=PBWH
Coefficient Identification Problems
computational physics applications
Constant Boundary Elements
Dirichlet Boundary Conditions
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
ill-posed problem solutions
Interface Coefficient
Inverse boundary value problems
Inverse Coefficient Problems
Inverse Geometric Problems
Inverse Geometry Problems
Inverse Heat Transfer
Inverse Problem
Inverse Source Problem
Linear Volterra Integral Equation
mathematical modeling
Non-invasive Temperature Measurements
Nonlinear Heat Equation
numerical analysis methods
Parabolic Heat Equation
partial differential equations
Positive Definite Tensors
Preconditioned Cgm
Priori Guess
Quasi-Reversibility Methods
Reflection Coefficient
Regularization Parameter
scientific data reconstruction
Search Step Size
Space Dependent Heat Source
Tikhonov Theory
Time Dependent Conductivity
Unknown Thermal Conductivity

Product details

  • ISBN 9780367001988
  • Weight: 680g
  • Dimensions: 156 x 234mm
  • Publication Date: 10 Nov 2021
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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Description

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
About Daniel Lesnic

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.

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