-
1
-
-
0034556852
-
Parabolic equation development in the twentieth century
-
D. Lee, A. D. Pierce, and E. C. Shang, "Parabolic equation development in the twentieth century," J. Comput. Acoust. 8(4), 527-637 (2000).
-
(2000)
J. Comput. Acoust.
, vol.8
, Issue.4
, pp. 527-637
-
-
Lee, D.1
Pierce, A.D.2
Shang, E.C.3
-
3
-
-
0030836251
-
Transparent boundary conditions for parabolic equation solutions of radiowave propagation problems
-
M. Levy, "Transparent boundary conditions for parabolic equation solutions of radiowave propagation problems," IEEE Trans. Antennas Propag. 45, 66-72 (1997).
-
(1997)
IEEE Trans. Antennas Propag.
, vol.45
, pp. 66-72
-
-
Levy, M.1
-
4
-
-
0026616466
-
A new method for a realistic treatment of the sea bottom in the parabolic approximation
-
J. S. Papadakis, M. I. Taroudakis, P. J. Papadakis, and B. Mayfield, "A new method for a realistic treatment of the sea bottom in the parabolic approximation," J. Acoust. Soc. Am. 92, 2030-2038 (1992).
-
(1992)
J. Acoust. Soc. Am.
, vol.92
, pp. 2030-2038
-
-
Papadakis, J.S.1
Taroudakis, M.I.2
Papadakis, P.J.3
Mayfield, B.4
-
5
-
-
0001865630
-
Exact, nonreflecting boundary conditions for parabolic-type approximations in underwater acoustics
-
J. S. Papadakis, "Exact, nonreflecting boundary conditions for parabolic-type approximations in underwater acoustics." J. Comput. Acoust. 2, 83-98 (1994).
-
(1994)
J. Comput. Acoust.
, vol.2
, pp. 83-98
-
-
Papadakis, J.S.1
-
6
-
-
0025847997
-
A generalized impedance method for application of the parabolic approximation to underwater acoustics
-
S. W. Marcus, "A generalized impedance method for application of the parabolic approximation to underwater acoustics," J. Acoust. Soc. Am. 90, 391-398 (1991).
-
(1991)
J. Acoust. Soc. Am.
, vol.90
, pp. 391-398
-
-
Marcus, S.W.1
-
7
-
-
0011217467
-
Discrete transparent boundary conditions for wide angle parabolic equations in underwater acoustics
-
A. Arnold and M. Ehrhardt, "Discrete transparent boundary conditions for wide angle parabolic equations in underwater acoustics," J. Comput. Phys. 145(2), 611-638 (1998).
-
(1998)
J. Comput. Phys.
, vol.145
, Issue.2
, pp. 611-638
-
-
Arnold, A.1
Ehrhardt, M.2
-
8
-
-
9644307911
-
Exact discrete nonlocal boundary conditions for high-order Padé parabolic equationś
-
D. Mikhin, "Exact discrete nonlocal boundary conditions for high-order Padé parabolic equations,́ J. Acoust. Soc. Am. 116, 2864-2875 (2004).
-
(2004)
J. Acoust. Soc. Am.
, vol.116
, pp. 2864-2875
-
-
Mikhin, D.1
-
9
-
-
0033032496
-
Nonlocal boundary conditions for finite-difference parabolic equation solvers
-
D. Yevick and D. J. Thomson, ́Nonlocal boundary conditions for finite-difference parabolic equation solvers,́ J. Acoust. Soc. Am. 106, 143-150 (1999).
-
(1999)
J. Acoust. Soc. Am.
, vol.106
, pp. 143-150
-
-
Yevick, D.1
Thomson, D.J.2
-
10
-
-
1042288251
-
Adjoint modeling for acoustic inversion
-
P. Hursky, M. B. Porter, W. S. Hodgkiss, and W. A. Kuperman, "Adjoint modeling for acoustic inversion," J. Acoust. Soc. Am. 115, 607-619 (2004).
-
(2004)
J. Acoust. Soc. Am.
, vol.115
, pp. 607-619
-
-
Hursky, P.1
Porter, M.B.2
Hodgkiss, W.S.3
Kuperman, W.A.4
-
11
-
-
2942667854
-
The derivative of a waveguide acoustic field with respect to a three-dimensional sound speed perturbation
-
A. Thode, "The derivative of a waveguide acoustic field with respect to a three-dimensional sound speed perturbation," J. Acoust. Soc. Am. 115, 2824-2833 (2004).
-
(2004)
J. Acoust. Soc. Am.
, vol.115
, pp. 2824-2833
-
-
Thode, A.1
-
12
-
-
4043161996
-
Iterative algorithms for computing the shape of a hard scattering object: Computing the shape derivative
-
S. J. Norton, "Iterative algorithms for computing the shape of a hard scattering object: Computing the shape derivative," J. Acoust. Soc. Am. 116, 1002-1008 (2004).
-
(2004)
J. Acoust. Soc. Am.
, vol.116
, pp. 1002-1008
-
-
Norton, S.J.1
-
13
-
-
0032694278
-
Iterative inverse scattering algorithms: Methods of computing Fréchet derivatives
-
S. J. Norton, "Iterative inverse scattering algorithms: Methods of computing Fréchet derivatives," J. Acoust. Soc. Am. 106, 2653-2660 (1999).
-
(1999)
J. Acoust. Soc. Am.
, vol.106
, pp. 2653-2660
-
-
Norton, S.J.1
-
14
-
-
11144273252
-
Multiple-order derivatives of a waveguide acoustic field with respect to sound speed, density, and frequency
-
A. Thode and K. Kim. "Multiple-order derivatives of a waveguide acoustic field with respect to sound speed, density, and frequency," J. Acoust. Soc. Am. 116, 3370-3383 (2004).
-
(2004)
J. Acoust. Soc. Am.
, vol.116
, pp. 3370-3383
-
-
Thode, A.1
Kim, K.2
-
15
-
-
1042282907
-
An adjoint method for geoacoustic inversions
-
Carthage, Tunisia
-
M. Asch, J.-C. Le Gac, and P. Helluy, "An adjoint method for geoacoustic inversions," in Proceedings of the 2nd Conference on Inverse Problems, Control and Shape Optimization. Carthage, Tunisia (2002).
-
(2002)
Proceedings of the 2nd Conference on Inverse Problems, Control and Shape Optimization
-
-
Asch, M.1
Le Gac, J.-C.2
Helluy, P.3
-
16
-
-
18744395371
-
A variational approach for geoacoustic inversion using adjoint modeling of a PE approximation model with non local impedance boundary conditions
-
edited by A. Tolstoy, Y. C. Teng, and E. C. Shang (World Scientific, Singapore)
-
J.-C. Le Gac, Y. Stephan, M. Asch, P. Helluy, and J.-P. Hermand, "A variational approach for geoacoustic inversion using adjoint modeling of a PE approximation model with non local impedance boundary conditions," in Theoretical and Computational Acoustics 2003, edited by A. Tolstoy, Y. C. Teng, and E. C. Shang (World Scientific, Singapore, 2004), pp. 254-263.
-
(2004)
Theoretical and Computational Acoustics 2003
, pp. 254-263
-
-
Le Gac, J.-C.1
Stephan, Y.2
Asch, M.3
Helluy, P.4
Hermand, J.-P.5
-
19
-
-
0023966723
-
Exact controllability, stabilization and pertubations for distributed systems
-
J. L. Lions, "Exact controllability, stabilization and pertubations for distributed systems," SIAM Rev. 30, 71-86 (1988).
-
(1988)
SIAM Rev.
, vol.30
, pp. 71-86
-
-
Lions, J.L.1
-
21
-
-
0025199410
-
Methods for calculating Fréchet derivatives and sensitivities for the non-linear inverse problem: A comparative study
-
P. R. Gillivray and D. W. Oldenburg, "Methods for calculating Fréchet derivatives and sensitivities for the non-linear inverse problem: A comparative study," Geophys. Prospect. 38, 499-524 (1990).
-
(1990)
Geophys. Prospect.
, vol.38
, pp. 499-524
-
-
Gillivray, P.R.1
Oldenburg, D.W.2
-
22
-
-
0021474580
-
Inversion of seismic reflection data in the acoustic approximation
-
A. Tarantola, "Inversion of seismic reflection data in the acoustic approximation," Geophysics 49, 1259-1266 (1984).
-
(1984)
Geophysics
, vol.49
, pp. 1259-1266
-
-
Tarantola, A.1
-
24
-
-
0001143222
-
Finite difference of adjoint or adjoint of finite difference
-
Z. Sirkes and E. Tziperman, "Finite difference of adjoint or adjoint of finite difference," Mon. Weather Rev. 125, 3373-3378 (1997).
-
(1997)
Mon. Weather Rev.
, vol.125
, pp. 3373-3378
-
-
Sirkes, Z.1
Tziperman, E.2
-
25
-
-
0031400136
-
What is an adjoint model?
-
R. M. Errico, "What is an adjoint model?" Bull. Am. Meteorol. Soc. 78, 2577-2591 (1997).
-
(1997)
Bull. Am. Meteorol. Soc.
, vol.78
, pp. 2577-2591
-
-
Errico, R.M.1
-
27
-
-
0035835275
-
Analytic adjoint solutions for the quasi Id Euler equations
-
M. B. Giles and N. A. Pierce, "Analytic adjoint solutions for the quasi Id Euler equations," J. Fluid Mech. 426, 327-345 (2001).
-
(2001)
J. Fluid Mech.
, vol.426
, pp. 327-345
-
-
Giles, M.B.1
Pierce, N.A.2
-
28
-
-
0034433978
-
An introduction to the adjoint approach to design
-
M. B. Giles and N. A. Pierce, "An introduction to the adjoint approach to design," Flow, Turbul. Combust. 65, 393-415 (2000).
-
(2000)
Flow, Turbul. Combust.
, vol.65
, pp. 393-415
-
-
Giles, M.B.1
Pierce, N.A.2
-
29
-
-
0028496354
-
On exact and approximate boundary controllabilities for the heat equation: A numerical approach
-
C. Carthel, R. Glowinski, and J. L. Lions, "On exact and approximate boundary controllabilities for the heat equation: A numerical approach," J. Optim. Theory Appl. 82(3), 429-484 (1994).
-
(1994)
J. Optim. Theory Appl.
, vol.82
, Issue.3
, pp. 429-484
-
-
Carthel, C.1
Glowinski, R.2
Lions, J.L.3
-
30
-
-
0032527499
-
On initial, boundary conditions and viscosity coefficient control for Burgers' equation
-
Y. Leredde, J.-M. Lellouche, J.-L. Devenon, and I. Dekeyser, "On initial, boundary conditions and viscosity coefficient control for Burgers' equation," Int. J. Numer. Methods Fluids 28, 113-128 (1998).
-
(1998)
Int. J. Numer. Methods Fluids
, vol.28
, pp. 113-128
-
-
Leredde, Y.1
Lellouche, J.-M.2
Devenon, J.-L.3
Dekeyser, I.4
-
31
-
-
0032269567
-
Recipes for adjoint code construction
-
R. Giering and T. Kaminski, "Recipes for adjoint code construction," ACM Trans. Math. Softw. 24(4), 437-474 (1998).
-
(1998)
ACM Trans. Math. Softw.
, vol.24
, Issue.4
, pp. 437-474
-
-
Giering, R.1
Kaminski, T.2
-
32
-
-
0004129715
-
-
American Institute of Physics, New York
-
F. Jensen, W. Kuperman, M. Porter, and H. Schmidt, Computational Ocean Acoustics (American Institute of Physics, New York, 1994). pp. xvi and 612.
-
(1994)
Computational Ocean Acoustics
-
-
Jensen, F.1
Kuperman, W.2
Porter, M.3
Schmidt, H.4
-
33
-
-
0001095190
-
Coarse grid calculations of waves in inhomogeneous media with application to delineation of complicated seismic structure
-
J. Claerbout, "Coarse grid calculations of waves in inhomogeneous media with application to delineation of complicated seismic structure," Geophysics 35, 407-418 (1970).
-
(1970)
Geophysics
, vol.35
, pp. 407-418
-
-
Claerbout, J.1
-
34
-
-
0034008427
-
Impedance-matched absorbers for finite-difference parabolic equation algorithms
-
D. Yevick and D. J. Thomson, "Impedance-matched absorbers for finite-difference parabolic equation algorithms." J. Acoust. Soc. Am. 107, 1226-1234 (2000).
-
(2000)
J. Acoust. Soc. Am.
, vol.107
, pp. 1226-1234
-
-
Yevick, D.1
Thomson, D.J.2
-
35
-
-
33646653558
-
-
note
-
The expression for the parameter β is not provided explicitly in Ref. 9 for the case of a wide-angle PE. However, the result obtained here has been approved via correspondence with the authors.
-
-
-
-
36
-
-
33646650350
-
-
note
-
2/3.0512).
-
-
-
-
37
-
-
33646668931
-
-
note
-
2.
-
-
-
-
38
-
-
33646662882
-
Unconstrained optimization
-
Technical University of Denmark
-
P. E. Frandsen, K. Jonasson, H. B. Nielsen, and O. Tingleff, "Unconstrained optimization," Lecture note IMM-LEC-2, Technical University of Denmark.
-
Lecture Note IMM-LEC-2
-
-
Frandsen, P.E.1
Jonasson, K.2
Nielsen, H.B.3
Tingleff, O.4
-
39
-
-
33646639846
-
-
note
-
2.
-
-
-
-
41
-
-
0001273835
-
Regularization methods for large-scale problems
-
M. Hanke and P. C. Hansen. "Regularization methods for large-scale problems," Surv. Math. Ind. 3, 253-315 (1993).
-
(1993)
Surv. Math. Ind.
, vol.3
, pp. 253-315
-
-
Hanke, M.1
Hansen, P.C.2
-
42
-
-
0032163862
-
Solving ill-conditioned and singular linear systems: A tutorial on regularization
-
A. Neumaier, "Solving ill-conditioned and singular linear systems: A tutorial on regularization." SIAM Rev. 40, 636-666 (1998).
-
(1998)
SIAM Rev.
, vol.40
, pp. 636-666
-
-
Neumaier, A.1
-
43
-
-
0042208667
-
A general heuristic for choosing the regularization parameter in ill-posed problems
-
M. Hanke and T. Raus, "A general heuristic for choosing the regularization parameter in ill-posed problems." SIAM J. Sci. Comput. (USA) 17, 956-972 (1996).
-
(1996)
SIAM J. Sci. Comput. (USA)
, vol.17
, pp. 956-972
-
-
Hanke, M.1
Raus, T.2
-
44
-
-
0242427737
-
A new exact penalty function
-
M. Huyer and A. Neumaier, "A new exact penalty function," SIAM J. Optim. 13(4), 1141-1158 (2003).
-
(2003)
SIAM J. Optim.
, vol.13
, Issue.4
, pp. 1141-1158
-
-
Huyer, M.1
Neumaier, A.2
-
45
-
-
2942655185
-
Complete search in continuous global optimization and constraint satisfaction
-
edited by A. Iserles (Cambridge U.P., Cambridge)
-
A. Neumaier, "Complete search in continuous global optimization and constraint satisfaction," in Acta Numerica 2004, edited by A. Iserles (Cambridge U.P., Cambridge, 2004).
-
(2004)
Acta Numerica 2004
-
-
Neumaier, A.1
-
46
-
-
33646668163
-
-
note
-
1, r≥R and allowing the domain of integration to expand to infinity, one gets [(d/dr) χ = 0,r ∉ ]0,R[].
-
-
-
-
47
-
-
0030262841
-
Inversion of broad-band multitone acoustic data from the YELLOW SHARK summer experiments
-
J.-P. Hermand and P. Gerstoft, "Inversion of broad-band multitone acoustic data from the YELLOW SHARK summer experiments," IEEE J. Ocean. Eng. 21(4), 324-346 (1996).
-
(1996)
IEEE J. Ocean. Eng.
, vol.21
, Issue.4
, pp. 324-346
-
-
Hermand, J.-P.1
Gerstoft, P.2
-
48
-
-
85066162864
-
Broad-band geoacoustic inversion in shallow water from waveguide impulse response measurements on a single hydrophone: Theory and experimental results
-
J.-P. Hermand, "Broad-band geoacoustic inversion in shallow water from waveguide impulse response measurements on a single hydrophone: theory and experimental results," IEEE J. Ocean. Eng. 24(1), 41-66 (1999).
-
(1999)
IEEE J. Ocean. Eng.
, vol.24
, Issue.1
, pp. 41-66
-
-
Hermand, J.-P.1
-
49
-
-
18744401229
-
Fine-grained sediment geoacoustic properties from remote acoustic measurements
-
Delft, The Netherlands
-
C. W. Holland, J.-P. Hermand, and S. Dosso, "Fine-grained sediment geoacoustic properties from remote acoustic measurements," in Proceedings of the 7th European Conference on Underwater Acoustics, ECUA 2004, Delft, The Netherlands (2004), pp. 677-684.
-
(2004)
Proceedings of the 7th European Conference on Underwater Acoustics, ECUA 2004
, pp. 677-684
-
-
Holland, C.W.1
Hermand, J.-P.2
Dosso, S.3
-
50
-
-
0030535180
-
A method for the treatment of a sloping sea bottom in the parabolic approximation
-
J. S. Papadakis and B. Pelloni, "A method for the treatment of a sloping sea bottom in the parabolic approximation," J. Comput. Acoust. 4(1), 89-100 (1996).
-
(1996)
J. Comput. Acoust.
, vol.4
, Issue.1
, pp. 89-100
-
-
Papadakis, J.S.1
Pelloni, B.2
-
51
-
-
0030283759
-
Accurate modeling of transparent boundaries in quasi-optics
-
A. V. Popov, "Accurate modeling of transparent boundaries in quasi-optics," Radio Sci. 31(6), 1781-1790 (1996).
-
(1996)
Radio Sci.
, vol.31
, Issue.6
, pp. 1781-1790
-
-
Popov, A.V.1
-
52
-
-
0003833857
-
-
Springer, New York
-
S. Voss, S. Martello, I. Osman, and C. Roucairol, Meta-Heuristics: Advances and Trends in Local Search Paradigms for Optimization (Springer, New York, 1998).
-
(1998)
Meta-Heuristics: Advances and Trends in Local Search Paradigms for Optimization
-
-
Voss, S.1
Martello, S.2
Osman, I.3
Roucairol, C.4
|