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Inverse problems with applications in science and engineering

By: Lesnic, Daniel.
Publisher: Boca raton : Chapman and Hall/CRC, 2022Description: xv,342 p. ; ill; 24 cm.ISBN: 9780367001988.Subject(s): Inverse problems | Differential equations | Adjoint problem | Boundary element method (BEM) | Conjugate gradient method(CGM) | Discrepancy principle | Fundamental solution | Heaviside function | Ill-posedness | Kirchhoff transformation | L-curve | Landweber-Fridman method (LFM) | Ritz-Galerkin method | Tikhonov regularization | Wave equationDDC classification: 515.357 Summary: 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.
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Item type Current location Call number Status Date due Barcode
Books 515.357 LES (Browse shelf) Checked out 15/05/2024 032966

Includes bibliographical references and index.

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.

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