-
1
-
-
0040580194
-
Error estimates for finite difference methods for a wide-angle "parabolic" equation
-
Akrivis G.D., Dougalis V.A., and Zouraris G.E. Error estimates for finite difference methods for a wide-angle "parabolic" equation. SIAM J. Numer. Anal. 33 (1996) 2488-2509
-
(1996)
SIAM J. Numer. Anal.
, vol.33
, pp. 2488-2509
-
-
Akrivis, G.D.1
Dougalis, V.A.2
Zouraris, G.E.3
-
2
-
-
0038684989
-
Unconditionally stable discretization schemes of non-reflecting boundary conditions for the one-dimensional Schrödinger equation
-
Antoine X., and Besse C. Unconditionally stable discretization schemes of non-reflecting boundary conditions for the one-dimensional Schrödinger equation. J. Comput. Phys. 188 (2003) 157-175
-
(2003)
J. Comput. Phys.
, vol.188
, pp. 157-175
-
-
Antoine, X.1
Besse, C.2
-
3
-
-
0031632570
-
Numerically absorbing boundary conditions for quantum evolution equations
-
Arnold A. Numerically absorbing boundary conditions for quantum evolution equations. VLSI Design 6 (1998) 313-319
-
(1998)
VLSI Design
, vol.6
, pp. 313-319
-
-
Arnold, A.1
-
4
-
-
0011217467
-
Discrete transparent boundary conditions for wide angle parabolic equations in underwater acoustics
-
Arnold A., and Ehrhardt M. Discrete transparent boundary conditions for wide angle parabolic equations in underwater acoustics. J. Comput. Phys. 145 (1998) 611-638
-
(1998)
J. Comput. Phys.
, vol.145
, pp. 611-638
-
-
Arnold, A.1
Ehrhardt, M.2
-
5
-
-
4444331530
-
Discrete transparent boundary conditions for the Schrödinger equation: Fast calculation, approximation, and stability
-
Arnold A., Ehrhardt M., and Sofronov I. Discrete transparent boundary conditions for the Schrödinger equation: Fast calculation, approximation, and stability. Comm. Math. Sci. 1 (2003) 501-556
-
(2003)
Comm. Math. Sci.
, vol.1
, pp. 501-556
-
-
Arnold, A.1
Ehrhardt, M.2
Sofronov, I.3
-
8
-
-
0000821904
-
A higher-order parabolic equation for wave propagation in an ocean overlying an elastic bottom
-
Collins M.D. A higher-order parabolic equation for wave propagation in an ocean overlying an elastic bottom. J. Acous. Soc. Am. 86 (1989) 1459-1464
-
(1989)
J. Acous. Soc. Am.
, vol.86
, pp. 1459-1464
-
-
Collins, M.D.1
-
9
-
-
0011764695
-
Discrete transparent boundary conditions for the Schrödinger equation
-
Ehrhardt M., and Arnold A. Discrete transparent boundary conditions for the Schrödinger equation. Riv. Mat. Univ. Parma 6 (2001) 57-108
-
(2001)
Riv. Mat. Univ. Parma
, vol.6
, pp. 57-108
-
-
Ehrhardt, M.1
Arnold, A.2
-
10
-
-
41149157590
-
-
M. Ehrhardt, A. Arnold, Discrete transparent boundary conditions for wide angle parabolic equations: Fast calculation and approximation, in: D.G. Simons (Ed.), Proceedings of the Seventh European Conference on Underwater Acoustics, July 3-8, 2004, Netherlands Organisation for Applied Scientific Research (TNO) and Delft University of Technology, Delft, The Netherlands pp. 9-14
-
M. Ehrhardt, A. Arnold, Discrete transparent boundary conditions for wide angle parabolic equations: Fast calculation and approximation, in: D.G. Simons (Ed.), Proceedings of the Seventh European Conference on Underwater Acoustics, July 3-8, 2004, Netherlands Organisation for Applied Scientific Research (TNO) and Delft University of Technology, Delft, The Netherlands pp. 9-14
-
-
-
-
11
-
-
33846038212
-
Discrete non-local boundary conditions for split-step Padé approximations of the one-way Helmholtz equation
-
Ehrhardt M., and Zisowsky A. Discrete non-local boundary conditions for split-step Padé approximations of the one-way Helmholtz equation. J. Comput. Appl. Math. 200 (2007) 471-490
-
(2007)
J. Comput. Appl. Math.
, vol.200
, pp. 471-490
-
-
Ehrhardt, M.1
Zisowsky, A.2
-
12
-
-
2142739347
-
Non-reflecting boundary conditions
-
Givoli D. Non-reflecting boundary conditions. J. Comput. Phys. 94 (1991) 1-29
-
(1991)
J. Comput. Phys.
, vol.94
, pp. 1-29
-
-
Givoli, D.1
-
13
-
-
0003285534
-
Numerical methods for problems in infinite domains
-
Elsevier, Amsterdam
-
Givoli D. Numerical methods for problems in infinite domains. Studies in Applied Mechanics vol. 33 (1992), Elsevier, Amsterdam
-
(1992)
Studies in Applied Mechanics
, vol.33
-
-
Givoli, D.1
-
14
-
-
0004129715
-
-
AIP Press, New York
-
Jensen F.B., Kuperman W.A., Porter M.B., and Schmidt H. Computational Ocean Acoustics (1994), AIP Press, New York
-
(1994)
Computational Ocean Acoustics
-
-
Jensen, F.B.1
Kuperman, W.A.2
Porter, M.B.3
Schmidt, H.4
-
15
-
-
0023533509
-
Ocean acoustic propagation by finite difference methods
-
Lee D., and McDaniel S.T. Ocean acoustic propagation by finite difference methods. Comput. Math. Appl. 14 (1987) 305-423
-
(1987)
Comput. Math. Appl.
, vol.14
, pp. 305-423
-
-
Lee, D.1
McDaniel, S.T.2
-
16
-
-
0003773667
-
Parabolic Equation Models for Electromagnetic Wave Propagation
-
IEE, London
-
Levy M.F. Parabolic Equation Models for Electromagnetic Wave Propagation. IEE Electromagnetic Waves Series vol. 45 (2000), IEE, London
-
(2000)
IEE Electromagnetic Waves Series
, vol.45
-
-
Levy, M.F.1
-
17
-
-
41149095177
-
-
M.F. Levy, Fast PE models for mixed environments, in: AGARD Conference on Propagation Assessment in Coastal Environments, Bremerhaven, Germany, 19-22 September, 1994, AGARD-Advisory Group for Aerospace Research & Development, Neuilly-sur-Seine, France, North Atlantic Treaty Organization, pp. 8-1-8-6
-
M.F. Levy, Fast PE models for mixed environments, in: AGARD Conference on Propagation Assessment in Coastal Environments, Bremerhaven, Germany, 19-22 September, 1994, AGARD-Advisory Group for Aerospace Research & Development, Neuilly-sur-Seine, France, North Atlantic Treaty Organization, pp. 8-1-8-6
-
-
-
-
18
-
-
0030836251
-
Transparent boundary conditions for parabolic equation: Solutions of radiowave propagation problems
-
Levy M.F. Transparent boundary conditions for parabolic equation: Solutions of radiowave propagation problems. IEEE Trans. Antennas Propag. 45 (1997) 66-72
-
(1997)
IEEE Trans. Antennas Propag.
, vol.45
, pp. 66-72
-
-
Levy, M.F.1
-
19
-
-
4243102663
-
Non-local boundary conditions for radiowave propagation
-
Cohen G. (Ed). Juan-les-Pins, France, 24-28 April 1995, SIAM, Philadelphia, PA
-
Levy M.F. Non-local boundary conditions for radiowave propagation. In: Cohen G. (Ed). Third International Conference on Mathematical and Numerical Aspects of Wave Propagation Phenomena. Juan-les-Pins, France, 24-28 April 1995 (1995), SIAM, Philadelphia, PA 499-505
-
(1995)
Third International Conference on Mathematical and Numerical Aspects of Wave Propagation Phenomena
, pp. 499-505
-
-
Levy, M.F.1
-
20
-
-
9644307911
-
Exact discrete nonlocal boundary conditions for high-order Padé parabolic equations
-
Mikhin D. Exact discrete nonlocal boundary conditions for high-order Padé parabolic equations. J. Acous. Soc. Am. 116 (2004) 2864-2875
-
(2004)
J. Acous. Soc. Am.
, vol.116
, pp. 2864-2875
-
-
Mikhin, D.1
-
21
-
-
41149139506
-
-
J.S. Papadakis, Impedance formulation of the bottom boundary condition for the parabolic equation model in underwater acoustics, NORDA Parabolic Equation Workshop, NORDA Tech. Note 143, 1982
-
J.S. Papadakis, Impedance formulation of the bottom boundary condition for the parabolic equation model in underwater acoustics, NORDA Parabolic Equation Workshop, NORDA Tech. Note 143, 1982
-
-
-
-
22
-
-
0011188824
-
Impedance bottom boundary conditions for the parabolic-type approximations in underwater acoustics
-
Vichnevetsky R., Knight D., and Richter G. (Eds), IMACS, New Brunswick, NJ
-
Papadakis J.S. Impedance bottom boundary conditions for the parabolic-type approximations in underwater acoustics. In: Vichnevetsky R., Knight D., and Richter G. (Eds). Advances in Computer Methods for Partial Differential Equations VII (1992), IMACS, New Brunswick, NJ 585-590
-
(1992)
Advances in Computer Methods for Partial Differential Equations VII
, pp. 585-590
-
-
Papadakis, J.S.1
-
23
-
-
0001865630
-
Exact nonreflecting boundary conditions for parabolic-type approximations in underwater acoustics
-
Papadakis J.S. Exact nonreflecting boundary conditions for parabolic-type approximations in underwater acoustics. J. Comput. Acous. 2 (1994) 83-98
-
(1994)
J. Comput. Acous.
, vol.2
, pp. 83-98
-
-
Papadakis, J.S.1
-
24
-
-
0033704101
-
Low-order modes in smoothly curved, oversized and lossy waveguides of arbitrary cross section: Parabolic equation approach
-
Popov A.V., and Zhu N.Y. Low-order modes in smoothly curved, oversized and lossy waveguides of arbitrary cross section: Parabolic equation approach. AEÜ Int. J. Electr. Commun. 54 (2000) 175-182
-
(2000)
AEÜ Int. J. Electr. Commun.
, vol.54
, pp. 175-182
-
-
Popov, A.V.1
Zhu, N.Y.2
-
25
-
-
0345816843
-
Transparent boundary conditions for split-step Padé approximations of the one-way Helmholtz equation
-
Schmidt F., Friese T., and Yevick D. Transparent boundary conditions for split-step Padé approximations of the one-way Helmholtz equation. J. Comput. Phys. 170 (2001) 696-719
-
(2001)
J. Comput. Phys.
, vol.170
, pp. 696-719
-
-
Schmidt, F.1
Friese, T.2
Yevick, D.3
-
26
-
-
0000978807
-
The parabolic approximation method
-
Wave Propagation and Underwater Acoustics. Keller J.B., and Papadakis J.S. (Eds), Springer, New York
-
Tappert F.D. The parabolic approximation method. In: Keller J.B., and Papadakis J.S. (Eds). Wave Propagation and Underwater Acoustics. Lecture Notes in Physics vol. 70 (1977), Springer, New York 224-287
-
(1977)
Lecture Notes in Physics
, vol.70
, pp. 224-287
-
-
Tappert, F.D.1
-
27
-
-
0001347206
-
An exact radiation condition for use with the a posteriori PE method
-
Thomson D.J., and Mayfield M.E. An exact radiation condition for use with the a posteriori PE method. J. Comput. Acous. 2 (1994) 113-132
-
(1994)
J. Comput. Acous.
, vol.2
, pp. 113-132
-
-
Thomson, D.J.1
Mayfield, M.E.2
-
28
-
-
0032137784
-
Numerical solution of problems on unbounded domains. A review
-
Tsynkov S.V. Numerical solution of problems on unbounded domains. A review. Appl. Numer. Math. 27 (1998) 465-532
-
(1998)
Appl. Numer. Math.
, vol.27
, pp. 465-532
-
-
Tsynkov, S.V.1
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