000 | a | ||
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999 |
_c30989 _d30989 |
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008 | 220505b xxu||||| |||| 00| 0 eng d | ||
020 | _a9780367001988 | ||
082 |
_a515.357 _bLES |
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100 | _aLesnic, Daniel | ||
245 | _aInverse problems with applications in science and engineering | ||
260 |
_bChapman and Hall/CRC, _c2022 _aBoca raton : |
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300 |
_axv,342 p. ; _bill; _c24 cm. |
||
365 |
_b89.99 _cGBP _d104.80 |
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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 |