Inverse Problems With Applications in Science and Engineering

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

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.