000 a
999 _c30989
_d30989
008 220505b xxu||||| |||| 00| 0 eng d
020 _a9780367001988
082 _a515.357
_bLES
100 _aLesnic, Daniel
245 _aInverse problems with applications in science and engineering
260 _bChapman and Hall/CRC,
_c2022
_aBoca raton :
300 _axv,342 p. ;
_bill;
_c24 cm.
365 _b89.99
_cGBP
_d104.80
504 _aIncludes bibliographical references and index.
520 _aDriven 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.
650 _aInverse problems
650 _aDifferential equations
650 _aAdjoint problem
650 _aBoundary element method (BEM)
650 _aConjugate gradient method(CGM)
650 _aDiscrepancy principle
650 _a Fundamental solution
650 _aHeaviside function
650 _a Ill-posedness
650 _aKirchhoff transformation
650 _a L-curve
650 _aLandweber-Fridman method (LFM)
650 _aRitz-Galerkin method
650 _aTikhonov regularization
650 _aWave equation
942 _2ddc
_cBK