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Inverse problems with applications in science and engineering. (English) Zbl 1479.35001

Boca Raton, FL: CRC Press (ISBN 978-0-367-00198-8/hbk; 978-1-032-12538-1/pbk; 978-0-429-40062-9/ebook). xv, 342 p. (2022).
Publisher’s 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

MSC:

35-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to partial differential equations
35R30 Inverse problems for PDEs
74-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mechanics of deformable solids
76-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to fluid mechanics
78-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to optics and electromagnetic theory
78A46 Inverse problems (including inverse scattering) in optics and electromagnetic theory
76M21 Inverse problems in fluid mechanics
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