# zbMATH — the first resource for mathematics

## Santosa, Fadil N.

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 Author ID: santosa.fadil-n Published as: Santosa, F.; Santosa, Fadil; Santosa, Fadil N.
 Documents Indexed: 88 Publications since 1980, including 9 Books
all top 5

#### Co-Authors

 3 single-authored 10 Symes, William W. 8 Carroll, Robert W. 6 Dobson, David C. 6 Vogelius, Michael S. 5 Coleman, Thomas F. 4 Rudnaya, Svetlana 3 Ammari, Habib M. 3 Biegler, Lorenz T. 3 Conn, Andrew Roger 3 Pao, Yihhsing 3 Rondi, Luca 2 Chiareli, Alessandra 2 Colton, David Lem 2 Lin, Junshan 2 Magnanini, Rolando 2 Martin, Paul Andrew 2 Misemer, David 2 Qiu, Lingyun 2 Sacks, Paul E. 2 Stakgold, Ivar 2 Verma, Arun Kumar 2 Wang, Jing 1 Alessandrini, Giovanni 1 Alexandrov, Oleg 1 Allers, Andrew 1 Angell, Thomas S. 1 Beretta, Elena 1 Braverman, Mark 1 Bube, Kenneth P. 1 Chambolle, Antonin 1 Chen, Shengyuan 1 Dennis, Mark R. 1 Esedoglu, Selim 1 Francini, Elisa 1 Gameiro, Marcio F. 1 Gärtner, Nadine 1 Glendinning, Paul Alexander 1 Gulliver, Robert D. II 1 Higham, Nicholas J. 1 Hoffman, Kathleen A. 1 Höft, Thomas A. 1 Holland, Charles W. 1 Iwen, Mark A. 1 Jin, Yasong 1 Kang, Hyeonbae 1 Kao, Chiu-Yen 1 Kaup, Peter G. 1 Keyes, Edward 1 Kleinman, Ralph Ellis 1 Klibanov, Michael V. 1 Konstanty, Henry 1 Lailly, Patrick 1 Laugesen, Richard Snyder 1 Levy, Rachel 1 Luong, Bruno 1 Maitre, Emmanuel 1 Monk, Peter B. 1 Norris, Andrew N. 1 Osher, Stanley Joel 1 Raggio, Gabriel 1 Schwetlick, Horst 1 Shipman, Stephen P. 1 Tanner, Jared W. 1 Toews, Carl 1 Vessella, Sergio 1 Wang, Zhu 1 Ward, Rachel A. 1 Weinstein, Michael I. 1 Weitz, Benjamin 1 Widjaya, Haris 1 Wilson, Josh 1 Xu, Jianming 1 Zhang, Hai 1 Zhang, Wenlong
all top 5

#### Serials

 15 SIAM Journal on Applied Mathematics 9 Inverse Problems 6 Wave Motion 5 Journal of Computational Physics 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 The IMA Volumes in Mathematics and its Applications 2 Applicable Analysis 2 International Journal of Engineering Science 2 Journal of Engineering Mathematics 2 Mathematical Methods in the Applied Sciences 2 SIAM Journal on Scientific and Statistical Computing 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Mathematical Analysis 2 SIAM Journal on Imaging Sciences 1 The Geophysical Journal of the Royal Astronomical Society 1 International Journal of Solids and Structures 1 Journal of the Acoustical Society of America 1 Quarterly Journal of Mechanics and Applied Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 SIAM Review 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Geophysical Journal 1 The Canadian Applied Mathematics Quarterly 1 Journal of Mathematical Chemistry 1 Discrete and Continuous Dynamical Systems. Series B 1 Chapman & Hall/CRC Research Notes in Mathematics 1 Research in the Mathematical Sciences 1 Other Titles in Applied Mathematics
all top 5

#### Fields

 43 Partial differential equations (35-XX) 31 Numerical analysis (65-XX) 29 Mechanics of deformable solids (74-XX) 23 Optics, electromagnetic theory (78-XX) 12 Geophysics (86-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 8 General and overarching topics; collections (00-XX) 8 Ordinary differential equations (34-XX) 8 Fluid mechanics (76-XX) 8 Biology and other natural sciences (92-XX) 5 Computer science (68-XX) 5 Operations research, mathematical programming (90-XX) 4 Systems theory; control (93-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 Potential theory (31-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH

66 Publications have been cited 862 times in 702 Documents Cited by Year
Level set methods for optimization problems involving geometry and constraints. I: Frequencies of a two-density inhomogeneous drum. Zbl 1056.74061
Osher, Stanley J.; Santosa, Fadil
2001
A level-set approach for inverse problems involving obstacles. Zbl 0870.49016
1996
A computational quasi-reversibility method for Cauchy problems for Laplace’s equation. Zbl 0769.35005
Klibanov, Michael V.; Santosa, Fadil
1991
A dispersive effective medium for wave propagation in periodic composites. Zbl 0741.73017
Santosa, Fadil; Symes, William W.
1991
Linear inversion of band-limited reflection seismograms. Zbl 0602.73113
Santosa, Fadil; Symes, William W.
1986
Recovery of blocky images from noisy and blurred data. Zbl 0858.68121
Dobson, David C.; Santosa, Fadil
1996
Reconstruction of a two-dimensional binary obstacle by controlled evolution of a level-set. Zbl 0912.35158
Litman, A.; Lesselier, D.; Santosa, F.
1998
Method for imaging corrosion damage in thin plates from electrostatic data. Zbl 0851.35134
Kaup, Peter G.; Santosa, Fadil; Vogelius, Michael
1996
An image-enhancement technique for electrical impedance tomography. Zbl 0805.35149
Dobson, David C.; Santosa, Fadil
1994
Enhanced electrical impedance tomography via the Mumford-Shah functional. Zbl 0989.35136
Rondi, Luca; Santosa, Fadil
2001
A computational algorithm to determine cracks from electrostatic boundary measurements. Zbl 0825.73761
Santosa, Fadil; Vogelius, Michael
1991
Scattering techniques for a one-dimensional inverse problem in geophysics. Zbl 0456.73086
Carroll, Robert W.; Santosa, F.
1981
First-order corrections to the homogenized eigenvalues of a periodic composite medium. Zbl 0808.35085
Santosa, Fadil; Vogelius, Michael
1993
A backprojection algorithm for electrical impedance imaging. Zbl 0691.65087
Santosa, Fadil; Vogelius, Michael
1990
Maximization of the quality factor of an optical resonator. Zbl 1231.78007
Kao, Chiu-Yen; Santosa, Fadil
2008
Guided waves in a photonic bandgap structure with a line defect. Zbl 1060.35140
Ammari, Habib; Santosa, Fadil
2004
Wave propagation in a 2-D optical waveguide. Zbl 0973.78018
Magnanini, Rolando; Santosa, Fadil
2000
The inversion of acoustical impedance profile by methods of characteristics. Zbl 0466.73115
Santosa, Fadil; Schwetlick, Horst
1982
Resonances of a finite one-dimensional photonic crystal with a defect. Zbl 1293.35316
Lin, Junshan; Santosa, Fadil
2013
An effective nonlinear boundary condition for a corroding surface. Identification of the damage based on steady state electric data. Zbl 0908.35137
Santosa, Fadil; Vogelius, Michael; Xu, Jian-Ming
1998
Asymptotic and numerical techniques for resonances of thin photonic structures. Zbl 1159.78010
Gopalakrishnan, J.; Moskow, S.; Santosa, F.
2008
A topology-preserving level set method for shape optimization. Zbl 1075.65089
Alexandrov, Oleg; Santosa, Fadil
2005
On complete recovery of geophysical data. Zbl 0503.73083
Carroll, Robert W.; Santosa, F.
1982
Inverse scattering techniques in geophysics. Zbl 0456.73087
Carroll, Robert W.; Santosa, Fadil
1980
Transient axially asymmetric response of an elastic plate. Zbl 0687.73031
Santosa, Fadil; Pao, Yih-Hsing
1989
Impedance profile recovery from transmission data. Zbl 0544.73042
Carroll, Robert; Santosa, Fadil
1984
Scattering of electromagnetic waves by thin dielectric planar structures. Zbl 1134.35102
Ammari, Habib; Kang, Hyeonbae; Santosa, Fadil
2006
Control of the wave equation by time-dependent coefficients. Zbl 1073.35032
Chambolle, Antonin; Santosa, Fadil
2002
Resolution and stability analysis of an inverse problem in electrical impedance tomography: Dependence on the input current patterns. Zbl 0813.35131
Dobson, David C.; Santosa, Fadil
1994
Scattering resonances for a two-dimensional potential well with a thick barrier. Zbl 1321.35119
Lin, Junshan; Santosa, Fadil
2015
Resonances of a potential well with a thick barrier. Zbl 1312.34130
Dobson, D. C.; Santosa, F.; Shipman, S. P.; Weinstein, M. I.
2013
Estimation of asset distributions from option prices: analysis and regularization. Zbl 1257.91050
Orozco Rodriguez, J.; Santosa, F.
2012
An approximate method for scattering by thin structures. Zbl 1098.65118
Moskow, S.; Santosa, F.; Zhang, J.
2005
Computation of the Hessian for least-squares solutions of inverse problems of reflection seismology. Zbl 0642.65052
Santosa, Fadil; Symes, William W.
1988
Inverse problems of acoustic and elastic waves. (Proceedings of the International Conference on Inverse Problems of Acoustic and Elastic waves held at Cornell University, Ithaca, New York, June 4-6, 1984). Zbl 0618.00011
Santosa, Fadil (ed.); Pao, Yih-Hsing (ed.); Symes, William W. (ed.); Holland, Charles (ed.)
1984
Stability for the one dimensional inverse problem via the Gel’fand-Levitan equation. Zbl 0499.73019
Carroll, Robert W.; Santosa, Fadil
1982
Optimal localization of eigenfunctions in an inhomogeneous medium. Zbl 1060.65068
Dobson, David C.; Santosa, Fadil
2004
Efficient calculation of Jacobian and adjoint vector products in the wave propagational inverse problem using automatic differentiation. Zbl 0947.65104
Coleman, Thomas F.; Santosa, Fadil; Verma, Arun
2000
Quantitative imaging of corrosion in plates by eddy current methods. Zbl 0926.35146
Luong, Bruno; Santosa, Fadil
1998
Analysis of the magnetoacoustic tomography with magnetic induction. Zbl 1327.35445
Qiu, Lingyun; Santosa, Fadil
2015
The Princeton companion to applied mathematics. Zbl 1327.00002
Higham, Nicholas J. (ed.); Dennis, Mark R. (ed.); Glendinning, Paul (ed.); Martin, Paul A. (ed.); Santosa, Fadil N. (ed.); Tanner, Jared (ed.)
2015
Nondestructive evaluation of plates using eddy current methods. Zbl 1210.78010
Dobson, David C.; Santosa, Fadil
1998
High-frequency perturbational analysis of the surface point-source response of a layered fluid. Zbl 0638.76093
Santosa, Fadil; Symes, William W.
1988
Reconstruction of blocky impedance profiles from normal-incidence reflection seismograms which are band-limited and miscalibrated. Zbl 0637.73029
Santosa, Fadil; Symes, William W.
1988
A simple computational scheme for determining the sound speed of an acoustic medium from its surface impulse response. Zbl 0618.65132
Sacks, Paul; Santosa, Fadil
1987
Spectral measures and autocorrelation via transmutation. Zbl 0539.73020
Carroll, Robert; Santosa, Fadil
1983
Numerical scheme for the inversion of acoustical impedance profile based on the Gelfand-Levitan method. Zbl 0539.73019
1982
Analysis of an inverse problem arising in photolithography. Zbl 1237.49059
Rondi, Luca; Santosa, Fadil
2012
Level set methods for optimization problems involving geometry and constraints. II: Optimization over a fixed surface. Zbl 1359.74476
Maitre, Emmanuel; Santosa, Fadil
2008
Analysis of a variational approach to progressive lens design. Zbl 1055.78002
Wang, Jing; Gulliver, Robert; Santosa, Fadil
2003
Stability in crack determination from electrostatic measurements at the boundary – A numerical investigation. Zbl 0835.35150
Alessandrini, Giovanni; Beretta, Elena; Santosa, Fadil; Vessella, Sergio
1995
Shear wave propagation in a periodically layered medium – an asymptotic theory. Zbl 0764.73018
Norris, Andrew; Santosa, Fadil
1992
Stability and resolution analysis of a linearized problem in electrical impedance tomography. Zbl 0736.35141
Allers, Andrew; Santosa, Fadil
1991
A model for a composite with anisotropic dissipation by homogenization. Zbl 0705.73004
Santosa, F.; Symes, W. W.
1989
Résolution d’un problème inverse qui détermine complètement les données géophysiques. Zbl 0545.35091
Carroll, Robert W.; Santosa, Fadil
1981
Determining anisotropic conductivity using diffusion tensor imaging data in magneto-acoustic tomography with magnetic induction. Zbl 1382.78016
Ammari, Habib; Qiu, Lingyun; Santosa, Fadil; Zhang, Wenlong
2017
A symbol-based algorithm for decoding bar codes. Zbl 1292.94183
Iwen, Mark A.; Santosa, Fadil; Ward, Rachel
2013
An inverse problem in reaction kinetics. Zbl 1303.92157
Santosa, Fadil; Weitz, Benjamin
2011
An inverse problem in nondestructive evaluation of spot-welds. Zbl 1094.35136
Francini, Elisa; Höft, Thomas; Santosa, Fadil
2006
A numerical method for progressive lens design. Zbl 1081.78005
Wang, Jing; Santosa, Fadil
2004
Semi-automatic differentiation. Zbl 0924.65015
Coleman, Thomas F.; Santosa, Fadil; Verma, Arun
1998
Large-scale optimization with applications. Part 3: Molecular structure and optimization. Proceedings of a 3-week workshop, July 10–28, 1995, IMA, University of Minnesota, Minneapolis, MN, USA. Zbl 0872.00044
Biegler, Lorenz T. (ed.); Coleman, Thomas F. (ed.); Conn, Andrew R. (ed.); Santosa, Fadil N. (ed.)
1997
Optimal design of minimally reflective coatings. Zbl 0968.74570
Konstanty, Henry; Santosa, Fadil
1995
On elastodynamic problems in infinite cylinders. Zbl 0723.73057
1989
Inversion of band-limited reflection seismograms using stacking velocities as constraints. Zbl 0636.76081
Santosa, Fadil; Symes, William W.; Raggio, Gabriel
1987
Inverse problems of acoustic and elastic waves. Zbl 0619.73030
Pao, Yih-Hsing; Santosa, Fadil; Symes, William W.
1984
Determining anisotropic conductivity using diffusion tensor imaging data in magneto-acoustic tomography with magnetic induction. Zbl 1382.78016
Ammari, Habib; Qiu, Lingyun; Santosa, Fadil; Zhang, Wenlong
2017
Scattering resonances for a two-dimensional potential well with a thick barrier. Zbl 1321.35119
Lin, Junshan; Santosa, Fadil
2015
Analysis of the magnetoacoustic tomography with magnetic induction. Zbl 1327.35445
Qiu, Lingyun; Santosa, Fadil
2015
The Princeton companion to applied mathematics. Zbl 1327.00002
Higham, Nicholas J. (ed.); Dennis, Mark R. (ed.); Glendinning, Paul (ed.); Martin, Paul A. (ed.); Santosa, Fadil N. (ed.); Tanner, Jared (ed.)
2015
Resonances of a finite one-dimensional photonic crystal with a defect. Zbl 1293.35316
Lin, Junshan; Santosa, Fadil
2013
Resonances of a potential well with a thick barrier. Zbl 1312.34130
Dobson, D. C.; Santosa, F.; Shipman, S. P.; Weinstein, M. I.
2013
A symbol-based algorithm for decoding bar codes. Zbl 1292.94183
Iwen, Mark A.; Santosa, Fadil; Ward, Rachel
2013
Estimation of asset distributions from option prices: analysis and regularization. Zbl 1257.91050
Orozco Rodriguez, J.; Santosa, F.
2012
Analysis of an inverse problem arising in photolithography. Zbl 1237.49059
Rondi, Luca; Santosa, Fadil
2012
An inverse problem in reaction kinetics. Zbl 1303.92157
Santosa, Fadil; Weitz, Benjamin
2011
Maximization of the quality factor of an optical resonator. Zbl 1231.78007
Kao, Chiu-Yen; Santosa, Fadil
2008
Asymptotic and numerical techniques for resonances of thin photonic structures. Zbl 1159.78010
Gopalakrishnan, J.; Moskow, S.; Santosa, F.
2008
Level set methods for optimization problems involving geometry and constraints. II: Optimization over a fixed surface. Zbl 1359.74476
Maitre, Emmanuel; Santosa, Fadil
2008
Scattering of electromagnetic waves by thin dielectric planar structures. Zbl 1134.35102
Ammari, Habib; Kang, Hyeonbae; Santosa, Fadil
2006
An inverse problem in nondestructive evaluation of spot-welds. Zbl 1094.35136
Francini, Elisa; Höft, Thomas; Santosa, Fadil
2006
A topology-preserving level set method for shape optimization. Zbl 1075.65089
Alexandrov, Oleg; Santosa, Fadil
2005
An approximate method for scattering by thin structures. Zbl 1098.65118
Moskow, S.; Santosa, F.; Zhang, J.
2005
Guided waves in a photonic bandgap structure with a line defect. Zbl 1060.35140
Ammari, Habib; Santosa, Fadil
2004
Optimal localization of eigenfunctions in an inhomogeneous medium. Zbl 1060.65068
Dobson, David C.; Santosa, Fadil
2004
A numerical method for progressive lens design. Zbl 1081.78005
Wang, Jing; Santosa, Fadil
2004
Analysis of a variational approach to progressive lens design. Zbl 1055.78002
Wang, Jing; Gulliver, Robert; Santosa, Fadil
2003
Control of the wave equation by time-dependent coefficients. Zbl 1073.35032
Chambolle, Antonin; Santosa, Fadil
2002
Level set methods for optimization problems involving geometry and constraints. I: Frequencies of a two-density inhomogeneous drum. Zbl 1056.74061
Osher, Stanley J.; Santosa, Fadil
2001
Enhanced electrical impedance tomography via the Mumford-Shah functional. Zbl 0989.35136
Rondi, Luca; Santosa, Fadil
2001
Wave propagation in a 2-D optical waveguide. Zbl 0973.78018
Magnanini, Rolando; Santosa, Fadil
2000
Efficient calculation of Jacobian and adjoint vector products in the wave propagational inverse problem using automatic differentiation. Zbl 0947.65104
Coleman, Thomas F.; Santosa, Fadil; Verma, Arun
2000
Reconstruction of a two-dimensional binary obstacle by controlled evolution of a level-set. Zbl 0912.35158
Litman, A.; Lesselier, D.; Santosa, F.
1998
An effective nonlinear boundary condition for a corroding surface. Identification of the damage based on steady state electric data. Zbl 0908.35137
Santosa, Fadil; Vogelius, Michael; Xu, Jian-Ming
1998
Quantitative imaging of corrosion in plates by eddy current methods. Zbl 0926.35146
Luong, Bruno; Santosa, Fadil
1998
Nondestructive evaluation of plates using eddy current methods. Zbl 1210.78010
Dobson, David C.; Santosa, Fadil
1998
Semi-automatic differentiation. Zbl 0924.65015
Coleman, Thomas F.; Santosa, Fadil; Verma, Arun
1998
Large-scale optimization with applications. Part 3: Molecular structure and optimization. Proceedings of a 3-week workshop, July 10–28, 1995, IMA, University of Minnesota, Minneapolis, MN, USA. Zbl 0872.00044
Biegler, Lorenz T. (ed.); Coleman, Thomas F. (ed.); Conn, Andrew R. (ed.); Santosa, Fadil N. (ed.)
1997
A level-set approach for inverse problems involving obstacles. Zbl 0870.49016
1996
Recovery of blocky images from noisy and blurred data. Zbl 0858.68121
Dobson, David C.; Santosa, Fadil
1996
Method for imaging corrosion damage in thin plates from electrostatic data. Zbl 0851.35134
Kaup, Peter G.; Santosa, Fadil; Vogelius, Michael
1996
Stability in crack determination from electrostatic measurements at the boundary – A numerical investigation. Zbl 0835.35150
Alessandrini, Giovanni; Beretta, Elena; Santosa, Fadil; Vessella, Sergio
1995
Optimal design of minimally reflective coatings. Zbl 0968.74570
Konstanty, Henry; Santosa, Fadil
1995
An image-enhancement technique for electrical impedance tomography. Zbl 0805.35149
Dobson, David C.; Santosa, Fadil
1994
Resolution and stability analysis of an inverse problem in electrical impedance tomography: Dependence on the input current patterns. Zbl 0813.35131
Dobson, David C.; Santosa, Fadil
1994
First-order corrections to the homogenized eigenvalues of a periodic composite medium. Zbl 0808.35085
Santosa, Fadil; Vogelius, Michael
1993
Shear wave propagation in a periodically layered medium – an asymptotic theory. Zbl 0764.73018
Norris, Andrew; Santosa, Fadil
1992
A computational quasi-reversibility method for Cauchy problems for Laplace’s equation. Zbl 0769.35005
Klibanov, Michael V.; Santosa, Fadil
1991
A dispersive effective medium for wave propagation in periodic composites. Zbl 0741.73017
Santosa, Fadil; Symes, William W.
1991
A computational algorithm to determine cracks from electrostatic boundary measurements. Zbl 0825.73761
Santosa, Fadil; Vogelius, Michael
1991
Stability and resolution analysis of a linearized problem in electrical impedance tomography. Zbl 0736.35141
Allers, Andrew; Santosa, Fadil
1991
A backprojection algorithm for electrical impedance imaging. Zbl 0691.65087
Santosa, Fadil; Vogelius, Michael
1990
Transient axially asymmetric response of an elastic plate. Zbl 0687.73031
Santosa, Fadil; Pao, Yih-Hsing
1989
A model for a composite with anisotropic dissipation by homogenization. Zbl 0705.73004
Santosa, F.; Symes, W. W.
1989
On elastodynamic problems in infinite cylinders. Zbl 0723.73057
1989
Computation of the Hessian for least-squares solutions of inverse problems of reflection seismology. Zbl 0642.65052
Santosa, Fadil; Symes, William W.
1988
High-frequency perturbational analysis of the surface point-source response of a layered fluid. Zbl 0638.76093
Santosa, Fadil; Symes, William W.
1988
Reconstruction of blocky impedance profiles from normal-incidence reflection seismograms which are band-limited and miscalibrated. Zbl 0637.73029
Santosa, Fadil; Symes, William W.
1988
A simple computational scheme for determining the sound speed of an acoustic medium from its surface impulse response. Zbl 0618.65132
Sacks, Paul; Santosa, Fadil
1987
Inversion of band-limited reflection seismograms using stacking velocities as constraints. Zbl 0636.76081
Santosa, Fadil; Symes, William W.; Raggio, Gabriel
1987
Linear inversion of band-limited reflection seismograms. Zbl 0602.73113
Santosa, Fadil; Symes, William W.
1986
Impedance profile recovery from transmission data. Zbl 0544.73042
Carroll, Robert; Santosa, Fadil
1984
Inverse problems of acoustic and elastic waves. (Proceedings of the International Conference on Inverse Problems of Acoustic and Elastic waves held at Cornell University, Ithaca, New York, June 4-6, 1984). Zbl 0618.00011
Santosa, Fadil (ed.); Pao, Yih-Hsing (ed.); Symes, William W. (ed.); Holland, Charles (ed.)
1984
Inverse problems of acoustic and elastic waves. Zbl 0619.73030
Pao, Yih-Hsing; Santosa, Fadil; Symes, William W.
1984
Spectral measures and autocorrelation via transmutation. Zbl 0539.73020
Carroll, Robert; Santosa, Fadil
1983
The inversion of acoustical impedance profile by methods of characteristics. Zbl 0466.73115
Santosa, Fadil; Schwetlick, Horst
1982
On complete recovery of geophysical data. Zbl 0503.73083
Carroll, Robert W.; Santosa, F.
1982
Stability for the one dimensional inverse problem via the Gel’fand-Levitan equation. Zbl 0499.73019
Carroll, Robert W.; Santosa, Fadil
1982
Numerical scheme for the inversion of acoustical impedance profile based on the Gelfand-Levitan method. Zbl 0539.73019
1982
Scattering techniques for a one-dimensional inverse problem in geophysics. Zbl 0456.73086
Carroll, Robert W.; Santosa, F.
1981
Résolution d’un problème inverse qui détermine complètement les données géophysiques. Zbl 0545.35091
Carroll, Robert W.; Santosa, Fadil
1981
Inverse scattering techniques in geophysics. Zbl 0456.73087
Carroll, Robert W.; Santosa, Fadil
1980
all top 5

#### Cited by 1,147 Authors

 18 Santosa, Fadil N. 17 Allaire, Grégoire 16 Wang, Michael Yu 14 Ammari, Habib M. 13 Carroll, Robert W. 11 Xia, Qi 10 Wei, Ting 9 Dorn, Oliver 9 Shi, Tielin 8 Kao, Chiu-Yen 8 Klibanov, Michael V. 7 Luo, Zhen 7 Moskow, Shari 7 Nishiwaki, Shinji 7 Park, Won-Kwang 7 Zhu, Shengfeng 6 Chen, Shikui 6 Cheng, Jin 6 Cheng, Xiaoliang 6 Moscoso, Miguel 6 Rondi, Luca 6 Tong, Liyong 6 Yamada, Takayuki 6 Yamamoto, Masahiro 5 Abdulle, Assyr 5 Cakoni, Fioralba 5 Ciraolo, Giulio 5 Conca, Carlos 5 Izui, Kazuhiro 5 Jouve, François 5 Kang, Hyeonbae 5 Lamacz, Agnes 5 Liu, Chunxiao 5 Peyré, Gabriel 5 Ring, Wolfgang 5 Schweizer, Ben 5 Vogelius, Michael S. 4 Abreu-Blaya, Ricardo 4 Borcea, Liliana 4 Bory Reyes, Juan 4 Bourgeois, Laurent 4 Candès, Emmanuel J. 4 Challis, Vivien J. 4 De Cezaro, Adriano 4 Engelbrecht, Jüri 4 Fasino, Dario 4 Fish, Jacob 4 Fu, Chuli 4 Guzina, Bojan B. 4 Hon, Yiu-Chung 4 Inglese, Gabriele 4 Jin, Bangti 4 Karabash, Illya M. 4 Kunisch, Karl 4 Leitão, Antonio 4 Lesnic, Daniel 4 Liu, Ji-Chuan 4 Mera, Nicolae S. 4 Mueller, Jennifer L. 4 Nachaoui, Abdeljalil 4 Nguyen Huy Tuan 4 Sacks, Paul E. 4 Seo, Jin Keun 4 Siltanen, Samuli 4 Sincich, Eva 4 Sun, Yao 4 Symes, William W. 4 Tai, Xuecheng 4 Vanninathan, Muthusamy 4 Wang, Shengyin 4 Wu, Boying 4 Wu, Qingbiao 4 Wunderli, Thomas 4 Yamasaki, Shintaro 4 Yi, Dokkyun 3 Alessandrini, Giovanni 3 Alsaker, Melody 3 Alvarez, Diego A. 3 Ascher, Uri M. 3 Beretta, Elena 3 Berezovski, Arkadi 3 Burger, Martin 3 Cao, Liqun 3 Carpio, Ana 3 Chaabane, Slim 3 Chakib, Abdelkrim 3 Cimetière, Alain 3 Dapogny, Charles 3 Dardé, Jérémi 3 Delvare, Franck 3 Dobson, David C. 3 Doel, K.van den 3 Druskin, Vladimir 3 Duval, Vincent 3 Fang, Weifu 3 Fernandez-Granda, Carlos 3 Fitzpatrick, Brian 3 Fornasier, Massimo 3 Garnier, Josselin 3 Grote, Marcus J. ...and 1,047 more Authors
all top 5

#### Cited in 169 Serials

 67 Journal of Computational Physics 33 Computer Methods in Applied Mechanics and Engineering 25 Inverse Problems 24 Inverse Problems in Science and Engineering 19 Wave Motion 18 Journal of Mathematical Analysis and Applications 17 Applicable Analysis 17 Applied Mathematics and Computation 16 International Journal for Numerical Methods in Engineering 15 Inverse Problems and Imaging 13 Mathematical Methods in the Applied Sciences 13 Journal of Computational and Applied Mathematics 13 Structural and Multidisciplinary Optimization 11 Computers & Mathematics with Applications 11 Journal of Scientific Computing 11 Applied Mathematical Modelling 11 Journal of Inverse and Ill-Posed Problems 11 Engineering Analysis with Boundary Elements 11 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 10 SIAM Journal on Imaging Sciences 9 Computational Mechanics 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Journal of Mathematical Physics 8 SIAM Journal on Applied Mathematics 7 Applied Numerical Mathematics 7 Multiscale Modeling & Simulation 6 Numerische Mathematik 6 International Journal of Computer Mathematics 6 Journal of Mathematical Sciences (New York) 5 Archive for Rational Mechanics and Analysis 5 Journal of Engineering Mathematics 5 Journal of Optimization Theory and Applications 5 Applied Mathematics Letters 5 SIAM Journal on Mathematical Analysis 5 Journal of Mathematical Imaging and Vision 5 SIAM Journal on Scientific Computing 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Information Sciences 4 Journal of Differential Equations 4 Mathematics and Computers in Simulation 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Numerical Algorithms 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 European Journal of Mechanics. A. Solids 4 Foundations of Computational Mathematics 3 Communications on Pure and Applied Mathematics 3 International Journal of Engineering Science 3 Mathematics of Computation 3 The Annals of Statistics 3 Computing 3 Numerical Functional Analysis and Optimization 3 SIAM Journal on Numerical Analysis 3 Transactions of the American Mathematical Society 3 Acta Applicandae Mathematicae 3 Mathematical and Computer Modelling 3 Computational Optimization and Applications 3 The Journal of Fourier Analysis and Applications 3 Mathematical Problems in Engineering 3 Journal of Inequalities and Applications 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Journal of Applied Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 S$$\vec{\text{e}}$$MA Journal 2 Acta Mechanica 2 International Journal of Solids and Structures 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Advances in Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Applied Mathematics and Optimization 2 BIT 2 Integral Equations and Operator Theory 2 Advances in Applied Mathematics 2 Zeitschrift für Analysis und ihre Anwendungen 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal of Integral Equations and Applications 2 European Journal of Applied Mathematics 2 Automation and Remote Control 2 Communications in Partial Differential Equations 2 Mathematical Programming. Series A. Series B 2 Archive of Applied Mechanics 2 Communications in Numerical Methods in Engineering 2 Applied and Computational Harmonic Analysis 2 Advances in Computational Mathematics 2 Computing and Visualization in Science 2 Abstract and Applied Analysis 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Journal of the European Mathematical Society (JEMS) 2 Computational Geosciences 2 Nonlinear Analysis. Real World Applications 2 Milan Journal of Mathematics 2 International Journal of Computational Methods 2 Mediterranean Journal of Mathematics 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Computers and Fluids 1 Computer Physics Communications 1 Discrete Applied Mathematics 1 International Journal of Control 1 International Journal of Heat and Mass Transfer 1 International Journal for Numerical Methods in Fluids 1 Journal of Fluid Mechanics ...and 69 more Serials
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#### Cited in 40 Fields

 323 Partial differential equations (35-XX) 286 Numerical analysis (65-XX) 169 Mechanics of deformable solids (74-XX) 117 Calculus of variations and optimal control; optimization (49-XX) 109 Optics, electromagnetic theory (78-XX) 67 Information and communication theory, circuits (94-XX) 42 Fluid mechanics (76-XX) 40 Biology and other natural sciences (92-XX) 35 Computer science (68-XX) 34 Operations research, mathematical programming (90-XX) 28 Operator theory (47-XX) 25 Geophysics (86-XX) 24 Ordinary differential equations (34-XX) 17 Statistics (62-XX) 15 Statistical mechanics, structure of matter (82-XX) 15 Systems theory; control (93-XX) 14 Integral equations (45-XX) 13 Classical thermodynamics, heat transfer (80-XX) 12 Integral transforms, operational calculus (44-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 8 Potential theory (31-XX) 8 Functional analysis (46-XX) 8 Quantum theory (81-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Functions of a complex variable (30-XX) 5 Special functions (33-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Mechanics of particles and systems (70-XX) 4 General and overarching topics; collections (00-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Differential geometry (53-XX) 3 Probability theory and stochastic processes (60-XX) 2 Approximations and expansions (41-XX) 2 Abstract harmonic analysis (43-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Manifolds and cell complexes (57-XX)