Tae-Kyung's references for research


Mathematics and Physics (Book) | Seismology (Book) | Analytic solution | Reference A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | Scattering Binder | Wavelet (Book) | Wavelet (Paper) | Fault (paper) | Attenuation

###### Mathematics and Physics (Book)

A. Pazy (1984), Seimgroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag New York, Inc. New York (Chap 7: The wave equation).

Ian N. Sneddon (1972), The Use of Integral Transforms, McGraw-Hill Book Company, Inc., New York. 539p.

Ian N. Sneddon (1951), Fourier Transforms, McGraw-Hill Book Company, Inc., New York, 542p.

Yudell L. Luke (1962), Integrals of Bessel Functions, McGraw-Hill Book Company, Inc., New York, 419p.

M.F. McCarthy and M.A. Hayes (editors) (1989), Elastic Wave Propagation, North-Holland, Elsevier Science Publishing Company, Inc., New York, 635p.

P.M. Morse and H. Feshbach (1953), Methods of Theoretical Physics, McGraw-Hill Book Company, Inc., New York.

I.N. Sneddon and M. Lowengrub (1969), Crack Problems in the Classical Theory of Elasticity, John Wiley & Sons, Inc., New York, 221p.


###### Seismology (Book and etc.)

A. Ben-Menahem and S.J. Singh (1981), Seismic Waves and Sources, Springer-Verlag, New York.

P.Berg, F. If, P. Nielsen and O. Skovgaard (1994), Analytic Reference Solutions, in 'Modeling the Earth for Oil Exploration- Final Report of the CEC's Geoscience I Program 1990-1993' edited by E. Helbig, Pergamon Press, 421-427.

R. Burridge (1976), Some Mathematical Topics in Seismology, Courant Institute of Mathematical Sciences, New York University, 317p.

J.K. Cohen and T. Chen (1993), Fundamental of the Discrete Wavelet Transform for Seismic Data Processing.

W.E. Fitzgibbon, M.F. Wheeler (1992), Computational Methods in Geosciences, Society for Industrial and Applied Mathematics, Philadelphia.

D. Lu, T. Ohyoshi and L. Zhu (1996), Treatment of Boundary Conditions in the Application of Wavelet-Galerkin Method to a SH Wave Problem

Y.-H. Pao and C.-C. Mow (1973), Diffraction of Elastic Waves and Dynamic Stress Concentrations, Crane, Russak & Company Inc., New York.

W.L. Pilant (1979), Elastic Waves in the Earth, Elsevier Scientific Publishing Company, New York.

R. Truell, C. Elbaum, B.B. Chick (1969), Ultrasonic Methods in Solid State Physics, Academic Press, Inc., New York.


###### Seismology (Analytic solutions)

R. Bortfeld (1961), Approximation to the Reflection and Transmission Coefficients of Plane Longitudinal and Transverse Waves, Geophysical Prospecting, Vol.9, 485-502.

R. Bortfeld (1962), Exact Solution of the Reflection and Refraction of Arbitrary Spherical Compressional Waves at Liquid-Liquid Interfaces and at Solid-Solid Interfaces with Equal Shear Velocities and Equal Densities, Geophysical Prospecting, Vol.10, 35-67.

R. Bortfeld (1962), Reflection and Refraction of Spherical Compressional Waves at Arbitrary Plane Interfaces, Geophysical Prospecting, Vol.10, 517-538.

R. Bortfeld (1964), Examples of Synthetic Refraction Arrivals and Wide-Angle Reflections, Geophysical Prospecting, Vol.12, 100-114.

R. Bortfeld (1967), Elastic Waves in Layered Media, Geophysical Prospecting, Vol.15 (4), 644-650.

M.D. Verweij and A.T. de Hoop (1990), Determination of Seismic Wavefields in Arbitrarily Continously Layered Media Using the Modified Cagniard Method, Geophys. J. Int., Vol.103, 731-754.

F. Wenzel, K.-J. Stenzel, and U. Zimmermann (1990), Wave Propagation in Laterally Heterogeneous Layered Media, Geophys. J. Int., Vol.103, 675-684.


###### Seismology (Journal)

*B.T. Aagaard, J.F. Hall, and T.H. Heaton (2001), Characterization of near-source ground motions with earthquake simulations, Earthquake Spectra, Vol.17 (2), 177-207. (* near-source ground motion)

B.T. Aagaard, T.H. Heaton, and J.F. Hall (2001), Dynamic earthquake ruptures in the presence of lithostatic normal stresses: implications for friction models and heat production, Bull. Seism. Soc. Am., Vol.91 (6), 1765-1796.

R.E. Abercrombie and G. Ekstr\"om (2001), Earthquake slip on oceanic tranform faults, Nature, Vol.410, 74-77.

F. Abramovici (1970), Numerical Seismograms for a Layered Elastic Solid, Bull. Seism. Soc. Am., Vol.60 (6), 1861-1876.

F. Abramovici and J. Gal-Ezer (1978), Numerical Seismograms for a Vertical Point-Force in a Layered Solid, Bull. Seism. Soc. Am., Vol.68 (1), 81-101.

D.A. Adams and R.E. Abercrombie (1998), Seismic attenuation above 10 Hz in southern California from coda waves recorded in the Cajon Pass borehole, J. Geophys. Res., Vol.103 (B10), 24,257-24,270.

Y. Ai, D. Zhao, X. Gao, and W. Xu (2005), The crust and upper mantle discontinuity structure beneath Alaska inferred from receiver functions, Phys. Earth Planet. Inter., Vol.150, 339-350.

K. Aki (1973), Scattering of P waves under the Montana Lasa, J. Geophys. Res., Vol.78 (8), 1334-1346.

K. Aki (1980), Attenuation of shear-waves in the lithosphere for frequencies from 0.05 to 25 Hz, Phys. Earth Planet. Inter., Vol.21, 50-60.

K. Aki (1992), Scattering conversions P to S versus S to P, Bull. Seism. Soc. Am., Vol.82 (4), 1969-1972.

K. Aki, M. Bouchon, and P. Reasenberg (1974), Seismic source function for an underground nuclear explosion, Bull. Seism. Soc. Am., vol.64 (1), 131-148.

K. Aki and B. Chouet (1975), Origin of coda waves: source, attenuation, and scattering effects, J. Geophys. Res., vol.80 (23), 3322-3342.

K. Aki and V. Ferrazzini (2000), Seismic monitoring and modelling of an active volcano for prediction, J. Geophys. Res., vol.105 (B7), 16,617-16,640.

A. Akinci and H. Eyido\v{g}an (2000), Scattering and anelastic attenuation of seismic energy in the vicinity of north anatolian fault zone, eastern Turkey, Phys. Earth Planet. Inter., Vol.122, 229-239.

A. Akinci, J. Mejia, and A.L> Jemberie (2004), Attenuative dispersion of P waves and crustal Q in Turkey and Germany, Pure Appl. Geophys., Vol.161, 73-91.

A. Alinaghi,G. Bock, R. Kind, W. Handa, K. Wylegalla, TOR, and SVEKALAPKO Working Group (2003), Receiver function analysis of the crust and upper mantle from the North German Basin to the Archaean Baltic Shield, Geophys. J. Int., Vol.155, 641-652.

T. Alkhalifah (1995), Efficient Synthetic-Seismogram Generation in Transversely Isotropic, Inhomogeneous Media, Geophysics, Vol.60 (4), 1139-1150.

T. Alkhalifah (2000), An Acoustic Wave Equation for Anisotropic Media, Geophysics, Vol.65 (4), 1239-1250.

R.M. Allen and J. Tromp (2005), Resolution of regional seismic models: Squeezing the Iceland anomaly, Geophys. J. Int., Vol.161, 373-386.

Z. Alterman and F.C. Karal, Jr. (1968), Propagation of Elastic Waves in Layered Media by Finite Difference Methods, Bull. Seism. Soc. Am., Vol.58 (1), 367-398.

K. Al-Damegh, E. Sandvol, A. al-Lazki, and M. Barazangi (2004), Regional seismic wave propagation (Lg and Sn) and Pn attenuation in the Arabian Plate and surrounding regions, Geophys. J. Int., Vol.157, 775-795.

G.I. Al-Eqabi, K.D. Koper, and M.E. Wysession (2001), Source characterization of Nevada Test Site explosions and western U.S. Earthquakes using Lg waves: Implications for regional source discrimination, Bull. Seism. Soc. Am., Vol.91 (1), 140-153.

J. Almendros, J.M. Ib\'{a}\~{n}ez, G. Alguacil, and E. Del Pezzo (1999), Array analysis using circular-wave-front geometry: an application to locate the nearby seismo-volcanic source, Geophys. J. Int., Vol.136, 159-170.

D.L. Anderson (2001), Top-down tectonics?, Science, Vol.293, 2016-2018.

G. Anderson and C. Ji (2003), Static stress transfer during the 2002 Nenana Mountain-Denali Fault, Alaska, earthquake sequence, J. Geophys. Res., Vol.30 (6), 1310, doi:10.1029/2002GL016724.

W.L. Anderson (1989), A hybrid fast Hankel transform algorithm for electromagnetic modeling, Geophysics, Vol.54 (2), 263-266.

D.J. Andrews (1973), A numerical study of tectonic stress release by underground explosions, Bull. Seism. Soc. Am., Vol.63 (4), 1375-1391.

D.J. Andrews and Y. Ben-Zion (1997), Wrinkle-like slip pulse on a fault between different materials, J. Geophys. Res., Vol.102 (B1), 553-571.

R.J. Apsel and J.E. Luco (1983), On the Green's Functions for a Layered Half-Space, Bull. Seism. Soc. Am., Vol.73 (4), 931-951.

B. Arntsen and J.M. Carcione (2000), A New Insight into the Reciprocity Principle, Geophysics, Vol.65 (5), 1604-1612.

I.M. Artemieva, M. Billien, J.-J. L\'{e}v\^{e}que, and W.D. Mooney (2004), Shear wave velocity, seismic attenuation, and thermal structure of the continental upper mantle, Geophys. J. Int., Vol.157, 607-628.

J. Artru, T. Farges, and P. Lognonn\'{e} (2004), Acoustic waves generated from seismic surface waves: propagation properties determined from Doppler sounding observations and normal-mode modelling, Geophys. J. Int., Vol.158 (3), (in press)

S. Assefa, C. McCann, and J. Sothcott (1999), Attenuation of P- and S-waves in limestones, Geophys. Prospect., Vol.47, 359-392.

T. Baba, Y. Tanioka, P.R. Cummins, and K. Uhira (2002), The slip distribution of the 1946 Nankai earthquake estimated from tsunami iversion using a new plate model, Phys. Earth Planet. Inter., Vol.132, 59-73.

A.M. Baig, F.A. Dahlen, and S.-H. Hung (2003), Traveltimes of waves in three-dimensional random media, Geophys. J. Int., vol.153, 467-482.

A.M. Baig and F.A. Dahlen (2004), Statistics of traveltimes and amplitudes in random media, Geophys. J. Int., vol.158, 187-210.

A.M. Baig and F.A. Dahlen (2004), Travetime biases in random media and the S-wave discrepancy, Geophys. J. Int., vol.158 (2), (in press).

G.E. Baker, J. Stenvens, and H. Xu (2004), Lg group velocity: a depth discriminant revisited, Bull. Seism. Soc. Am., vol.94 (2), 722-739.

G. Bal (2003?), On the self-averaging of wave energy in random media, ????.

G. Bal, G. Ppanicolaou, and L. Ryzhik (2002), Self-averaging in time reversal for the parabolic wave equation, Stochastics and Dynamics, vol.2 (4), 507-531.

G. Bal and M. Moscoso (2000), Polarization effects of seismic waves on the basis of radiative transport theory, Geophys. J. Int., vol.142, 571-585.

C.-G. Bank and M.G. Bostock (2003), Linearized inverse scattering of teleseismic waves for anisotropic crust and mantle structure: 2. numerical examples and application to data from Canadian stations, J. Geophys. Res., vol.108 (B5), 2259, doi:10.1029/2002JB001951.

S.C. Bannister, E.S. Husebye, and B.O. Ruud (1990), Telesemsic P coda analyzed by three-component and array techniques: Deterministic location of topographic P-to-Rg scattering near the NORESS array, Bull. Seism. Soc. Am., vol.80 (6), 1969-1986.

S. Bannister and A. Melhuish (1997), Seismic scattering and reverberation, Kaingaroa plateau, Taupo Volcanic Zone, New Zealand, New Zealand Journal of Geology and Geophysics, vol.40, 375-381.

G. Barberi, M.T. Cosentino, A. Gervasi, I. Guerra, G. Neri, and B. Orecchio (2004), Crustal seismic tomography in the Calabrian Arc region, south Italy, Phys. Earth Planet. Inter., vol.147 (4), (in press).

T. Bartosch and J. Wassermann (2004), Wavelet coherence analysis of broadband array data recorded at Stromboli volcano, Italy, Bull. Seism. Soc. Am., vol.94 (1), 44-52.

F.G. Bass, V.D. Freilikher and V.V. Prosentsov (39), Nonlinear scatterers in nonlinear media: Born approximation and local perturbation method, Waves Random Media, vol.12, 39-46.

K. Bataille and S.M. Flatt\'{e} (1988), Inhomogeneities near the core-mantle boundary inferred from short-period scattered PKP waves recorded at the Global Didital Seismograph Network, J. Geophys. Res., vol.93 (B12), 15,057-15,064.

K. Bataille, R.-S. Wu, and S.M. Flatt\'{e} (1990), Inhomogeneities near the core-mantle boundary evidenced from scattered waves: a review, Pure Appl. Geophys., vol.132, 151-173.

D.R. Baumgardt (1990), Investigation of teleseismic Lg blockage and scattering using regional arrays, Bull. Seism. Soc. Am., Vol.80 (6), 2261-2281.

D.R. Baumgardt (2001), Sedimentary basins and the blockage of Lg wave propagation in the continents, Pure. Appl. Geophys., Vol.158, 1207-1250.

A. Bayliss, K.E. Jordan, B.J. LeMesurier, and E. Turkel (1986), A Fourth-Order Accurate Finite-Difference Scheme for the Computation of Elastic Waves, Bull. Seism. Soc. Am., Vol.76 (4), 1115-1132.

R.M. Beam and R.F. Warming (2000), Multiresolution analysis and supercompact multiwavelets, SIAM J. Sci. Comput., Vol.22 (4), 1238-1268.

C. Beghein and J. Trampert (2004), Probability density functions for radial anisotropy from fundamental mode surface wave data and the Neighbourhood Algorithm, Geophys. J. Int., Vol.157, 1163-1174.

R. Benites, K. Aki, and K. Yomogida (1992), Multiple Scattering of SH Waves in 2-D Media iwth Many Cavities, Pure Appl. Geophys., Vol.138 (3), 353-390.

R. Benites, P.M. Roberts, K. Yomogida, and M. Fehler (1997), Scattering of Elastic Waves in 2-D Composite Media I: Theory and Test, Physics of the Earth and Planetary Interiors (Phys. Earth Planet. Inter.), Vol.104, 161-173.

A. Ben-Menahem and R.L. Gibson, Jr. (1990), Scattering of Elastic Waves by Localized Anisotropic Inclusions, J. Acoust. Soc. Am., Vol.87 (6), 2300-2309.

A. Ben-Menahem and A.G. Sena (1990), Seismic Source Theory in Stratified Anisotropic Media, J. Geophys. Res., Vol.95 (B10), 15,395-15,427.

A. Ben-Menahem and A.G. Sena (1990), The Elastodynamic Green's Tensor in an Anisotropic Half-Space, Geophys. J. Int., Vol.102, 421-443.

A. Ben-Menahem, R.L. Gibson Jr., and A.G. Sena (1991), Green's Tensor and Radiation Patterns of Point Sources in General Anisotropic Inhomogeneous Elastic Media, Geophys. J. Int., Vol.107, 297-308.

Y. Ben-Zion (1989), The Response of Two Jointed Quarter Spaces to SH Line Sources Located at the Material Discontinuity Interface, Geophys. J. Int., Vol.98, 213-222.

Y. Ben-Zion (1990), The Response of Two Half Spaces to Point Dislocations at the Material Interface, Geophys. J. Int., Vol.101, 507-528.

Y. Ben-Zion (1996), Stress slip, and earthquakes in models of complex single-fault systems incorporating brittle and creep deformations, J. Geophys. Res., Vol.101, (B3) 5677-5706.

Y. Ben-Zion (1998), Properties of Seismic Fault Zone Waves and Their Utility for Imaging Low-Velocity Structures, J. Geophys. Res., Vol.103 (B6), 12,567-12,585.

Y. Ben-Zion (1999), Corrigendum: The Response of Two Half Spaces to Point Dislocations at the Material Interface by Ben-Zion (1990), Geophys. J. Int., Vol.137, 580-582.

Y. Ben-Zion (2001), Dynamic ruptures in recent models of earthquake faults, J. Mech. Phys. Solids, Vol.49, 2209-2244.

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Y. Ben-Zion and K. Aki (1990), Seismic Radiation from an SH Line Source in a Laterally Heterogeneous Planar Fault Zone, Bull. Seism. Soc. Am., Vol.80 (4), 971-994.

Y. Ben-Zion and D.J. Andrews (1998), Properties and Implications of Dynamic Rupture along a Material Interface, Bull. Seism. Soc. Am., Vol.88 (4), 1085-1094.

Y. Ben-Zion and Y. Huang (2002), Dynamic rupture on an interface between a compliant fault zone layer and a stiffer surrounding solid, J. Geophys. Res., Vol.107 (B2), 10.1029/2001JB000254.

Y. Ben-Zion, Z. Peng, D. Okaya, L. Seeber, J.G. Armbruster, N. Ozer, A.J. Michael, S. Baris, and M. Aktar (2003), A shallow fault-zone structure illuminated by trapped waves in the Karadere-Duzce branch of the North Anatolian fault, Geophy. J. Int., (in press).

Y. Ben-Zion and J.R. Rice (1997), Dynamic simulations of slip on a smooth fault in an elastic solid, J. Geophys. Res., Vol.102 (B8), 17,771-17,784.

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N.N. Belyashova, V.I. Shacilov,N.N. Mikhailova, I.I. Komarov, Z.I. Sinyova, A.V. Belyashov, and M.N. Malakhova (2001), On the use of calibration explosions at the former Semipalatinsk test site for compiling a travel-time model of the crust and upper mantle, Pure Appl. Geophys., Vol.158, 193-209.

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R. Bortfeld (1961), Approximation to the Reflection and Transmission Coefficients of Plane Longitudinal and Transverse Waves, Geophysical Prospecting, Vol.9, 485-502.

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J. Kawahara and T. Yamashita (1992), Scattering of elastic waves by a fracture zone containing randomly distributed cracks, Pure Appl. Geophys., Vol.139 (1), 121-144.

V.A. Korneev and L.R. Johnson (1993), Scattering of elastic waves by a spherical inclusion-I. Theory and numerical tests, Geophys. J. Int., Vol.115, 230-250.

X. Li and J.A. Hudson (1997), Multiple scattering of elastic waves from a continuous and heterogeneous region, Geophys. J. Int., Vol.126, 845-862.

E. Liu, S. Crampin, and J.A. Hudson (1997), Diffraction of seismic waves by cracks with application to hydraulic fracturing, Geophysics, Vol.62 (1), 253-265.

Y. Liu, R.-S. Wu, and C.F. Ying (2000), Scattering of elastic waves by an elastic or viscoelastic cylinder, Geophys. J. Int., Vol.142, 439-460.

Y. Murai, J. Kawahara, and T. Yamashita (1995), Multiple scattering of SH waves in 2-D elastic media with distributed cracks, Geophys. J. Int., Vol.122, 925-937.

K. Nagano (1998), Crack-wave dispersion at a fluid-filled fracture with low-velocity layers, Geophys. J. Int., Vol.134, 903-910.

T. Pointer, E. Liu, and J.A. Hudson (1998), Numerical modelling of seismic waves scattered by hydrofractures: application of the indirect boundary element method, Geophys. J. Int., Vol.135, 289-303.

Y. Takei (2002), Effect of pore gemetry on Vp/Vs: From equilibrium geometry to crack, J. Geophys. Res., Vol.107 (B2), 10.1029/2001JB000522.

T. Yamashita (1990), Attenuation and dispersion of SH waves due to scattering by randomly distributed cracks, Pure Appl. Geophys., Vol.132 (3), 545-568.


###### Wavelet (Book and etc.)

B. Alpert, G. Beylkin, and L. Vozovoi (1999), Adaptive Solution of Partial Differential Equations in Multiwavelet Bases, PAM Report 409, July 1999 (submitted).

B. Alpert, L. Greengard, and T. Hagstrom (?), An Integral Evolution Formula for the Wave Equation.

E. Bacry, S. Mallat and G. Papanicolaou (?), A Wavelet Based Space-Time Adaptive Numerical Method for Partial Differential Equations

J.J. Benedetto and M.W. Frazier (1994) Wavelets: Mathematics and Application, CRC Press, Inc., Florida (Chap12: On wavelet-based algorithms for solving differential equations, Beylkin).

G. Beylkin, R. Coifman and V. Rokhlin (?) Fast Wavelet Trasnforms and Numerical Algorithms I.

P. Charton and V. Perrier (1996), A Pseudo-Wavelet Scheme for the Two-Dimensional Navier-Stokes Equations, Matematica Aplicada e computacional (submitted).

J.K. Cohen and T. Chen (1993), Fundamental of the Discrete Wavelet Transform for Seismic Data Processing.

G. Kaiser (1994) A friendly Guide to Wavelets, Birkhauser Boston, USA.

D. Lu, T. Ohyoshi and L. Zhu (1996), Treatment of Boundary Conditions in the Application of Wavelet-Galerkin Method to a SH Wave Problem.

W. Sweldens and P. Schroder (?), Building Your Own Wavelets at Home.

J.R. Williams and K. Amaratunga (1994), High Order Wavelet Extrapolation Schemes for Initial Value Problems and Boundary Value Problems, IESL Technical Report, No. 94-07.

J.R. Williams and K. Amaratunga (1995), A Discrete Wavelet Transform Without Edge Effects Using Wavelet Extrapolation, IESL Technical Report, No. 95-02.


###### Wavelet (Journal)

B. K. Alpert (1993), A Class of Bases in L2 for the Sparse Representation of Integral Operators, SIAM Journal on Mathematical Analysis, Vol.24, 246-262.

B. K. Alpert, G. Beylkin, D. Gines, and L. vozovoi (2002), Adaptive solution of partial differential equations in multiwavelet bases, J. Comput. Phys., Vol. 182, 149-190.

K. Amaratunga and J.R. Williams (1992), Wavelet-Galerkin Solutions for One Dimensional Partial Differential Equations, Int. J. Numer. Methods Eng., Vol. 37, 2703-2716.

G. Beylkin (1998), On Multiresolution Methods in Numerical Analysis, Documenta Mathematica (Doc. Math.) J. DMV (Extra Volume ICM 1998 III), 481-490.

G. Beylkin, N. Coult and M. J. Mohlenkamp (1999), Fast Spectral Projection Algorithms for Density-Matrix Computations, J. Comput. Phys., vol.152, 32-54.

W. Cai and J. Wang (1996), Adaptive Multiresolution Collocation Methods for Initial Boundary Value Problems of Nonlinear PDEs, SIAM J. Numer. Anal., Vol.33 (3), 937-970.

W. Dahmen (1997), Wavelet and Multiscale Methods for Operator Equations, Acta Numerica, Vol.6, 55-228.

J. Fr\"{o}hlich and K. Schneider (1997), An Adaptive Wavelet-Vaguelette Algorithm for the Solution of PDEs, J. Comput. Phys., Vol.130, 174-190.

M. Holschneider (1993), General Inversion Formulas for Wavelet Transforms, Journal of Mathematical Physics, Vol.34 (9), 4190-4198.

M. Holschneider (1994), Functional Calculus Using Wavelet Transforms, Journal of Mathematical Physics, Vol.35 (7), 3745-3752.

L. Jameson (1995), On the Spline-Based Wavelet Differentiation Matrix, Applied Numerical Mathematics, Vol.17, 33-45.

J. Lewalle (1994), Wavelet Transforms for Some Equations of Fluid Mechanics, Acta Mechanica, Vol.140, 1-25.

J. Lewalle (1997), Hamiltonian Formulation for the Diffusion Equation, Physical Review E, Vol.55 (2), 1590-1599.

J. Lewalle (1998), Formal Improvement in the Solution of the Wavelet-Transformed Poisson and Diffusion Equations, Journal of Mathematical Physics, Vol.39 (8), 4119-4128.

R.A. Lippert, T.A. Arias and A. Edelman (1998), Multiscale Computation with Interpolating Wavelets, J. Comput. Phys., Vol.140, 278-310.

S. Qian and J. Weiss (1993), Wavelets and the Numerical Solution of Partial Differential Equations, J. Comput. Phys., Vol.106, 155-175.

G. Saracco (1994), Propagation of Transient Waves through a Stratified Fluid Medium: Wavelet Analysis of a Nonasymptotic Decomposition of the Propagator. Part I. Spherical Waves through a Two-Layered System, J. Acoust. Soc. Am., Vol.95 (3), 1191-1205.

C. Torrence and G.P. Compo (1998), A Practical Guide to Wavelet Analysis, Bulletin of the American Meteorological Society, Vol.79 (1), 61-78.


###### Fault, dynamic rupture, friction, stress, modeling in faults

B.T. Aagaard, T.H. Heaton, and J.F. Hall (2001), Dynamic earthquake ruptures in the presence of lithostatic normal stresses: implications for friction models and heat production, Bull. Seism. Soc. Am., vol.91 (6), 1765-1796.

D.J. Andrews (1973), A numerical study of tectonic stress release by underground explosions, Bull. Seism. Soc. Am., vol.63 (4), 1375-1391.

D.J. Andrews and Y. Ben-Zion (1997), Wrinkle-like slip pulse on a fault between different materials, J. Geophys. Res., vol.102 (B1), 553-571.

Y. Ben-Zion (1998), Properties of seismic fault zone waves and their utility for imaging low-velocity structures, J. Geophys. Res., vol.103 (B6), 12567-12585.

*Y. Ben-Zion (2001), Dynamic ruptures in recent models of earthquake faults, J. Mech. Phys. Solids, vol.49, 2209-2244. (*including general reviews)

*Y. Ben-Zion (2003), Key formulas in earthquake seismology, in `International Handbook of Earthquake and Engineering Seismology', Part B, Academic Press. (*basic relationship in fault dynamics)

Y. Ben-Zion and D.J. Andrews (1998), Properties and implications of dynamic rupture along a material interface, Bull. Seism. Soc. Am., vol.88 (4), 1085-1094.

Y. Ben-Zion and Y. Huang (2002), Dynamic rupture on an interface between a compliant fault zone layer and a stiffer surrounding solid, J. Geophys. Res., vol.107 (B2), 10.1029/2001JB000254.

Y. Ben-Zion, Z. Peng, D. Okaya, L. Seeber, J.G. Armbruster, N. Ozer, A.J. Michael, S. Baris, and M. Aktar (2003), A shallow falut-zone structure illuminated by trapped waves in the Karadere-Duzce branch of the North Anatolian Fault, western Turkey, Geophys. J. Int., Vol.152, 699-717.

Y. Ben-Zion and J.R. Rice (1997), Dynamic simulations of slip on a smooth fault in an elastic solid, J. Geophys. Res., vol.102 (B8), 17771-17784.

*Y. Ben-Zion and C.G. Sammis (2003), Characterization of fault zones, Pure Appl. Geophysics, vol.160, 677-715. (*including general reviews)

G.C. Beroza and T. Mikumo (1996), Short slip duration in dynamic rupture in the presence of heterogeneous fault properties, J. Geophys. Res., vol.101 (B10), 22449-22460.

*A. Cochard and J.R. Rice (2000), Fault rupture between dissimilar materials: ill-posedness, regularization, and slip-pulse response, J. Geophys. Res., Vol.105 (B11), 25891-25907. (* good for understanding physics in dissimilar materials)

S. Das (2003), Spontaneous complex earthquake rupture propagation, Pure Appl. Geophys., Vol.160, 579-602.

J. Gomberg, NM. Beeler, M.L. Blanpied, and P. Bodin (1998), Earthquake triggering by transient and static deformations, J. Geophys. Res., Vol.103 (B10), 24,411-24,426.

J.-P. Gratier, P. favreau, and F. Renard (2003), Modeling fluid transfer along California faults when integrating pressure solution crack sealing and compaction processes, J. Geophys. Res., Vol.108 (B2), 2104, doi:10.1029/2001JB000380.

J.L. Hardebeck, J.J. Nazareth, and E. Hauksson (1998), The static stress change triggering model: Constraints from two southern California aftershock sequences, J. Geophys. Res., vol.103 (B10), 24,427-24,437.

R.A. Harris and S.M. Day (1997), Effects of a low-velocity zone on a dynamic rupture, Bull. Seism. Soc. Am., vol.87 (5), 1267-1280.

R.A. Harris and R.W. Simpson (1998), Suppression of large earthquakes by stress shadows: A comparison of Coulomb and rate-and-state failure, J. Geophys. Res., vol.103 (B10), 24,439-24,451.

I.R. Ionescu and M. Campillo (1999), Influence of the shape of the friction law and fault finiteness on the duration of initiation, J. Geophys. Res., vol.104 (B2), 3013-3024.

A. Kato, M. Ohnaka, and H. Mochizuki (2003), Consititutive properties for the shear failure of intact granite in seismogenic environments, J. Geophys. Res., vol.108 (B1), 2060, doi:10.1029/2001JB000791.

D. Kilb, J. Gomberg, and P. Bodin (2000), Triggering of earthquake aftershocks by dynamic stresses, Nature, Vol.408, 570-574.

G.C.P. King and D.D. Bowman (2003), The evolution of regional seismicity between large earthquakes, J. Geophys. Res., vol.108 (B2), 2096, doi:10.1029/2001JB000783.

G.C.P. King and M. Cocco (2000), Fault interaction by elastic stress changes: new clues from earthquake sequences, Advances in Geophysics, vol.44, 1-38.

R. Madariaga (2003), Radiation from a finite reverse fault in a half space, Pure Appl. Geophys., Vol.160, 555-577.

R. Malservisi, C. Gans, and K.P. Furlong (2003), Numerical modeling of strike-slip creeping faults and implications for the Hayward fault, California, Tectonophysics, Vol.361, 121-137.

P. M. Mai and G.C. Beroza (2002), A spatial random field model to characterize complexity in earthquake slip, J. Geophys. Res., vol.107 (B11), 2308, doi:10.1029/2001JB000588.

D.D. Oglesby, R.A. Archuleta, and S.B. Nielsen (2000), Dynamics of dip-slip faulting: Explorations in two dimensions, J. Geophys. Res., vol.105 (B6), 13643-13653.

G. Perrin, J.R. Rice, and G. Zheng (1995), Self-healing slip pulse on a frictional surface, J. Mech. Phys. Solids, Vol.43 (9), 1461-1495.

N. Pulido and K. Irikura (2000), Estimation of dynamic rupture parameters from the radiated seismic energy and apparent stress, Geophys. Res. Lett., vol.27 (23), 3945-3948.

K. Ranjith and J.R. Rice (2001), Slip dynamics at an interface between dissimilar materials, J. Mech. Phys. Solids, Vol.49, 341-361.

J.C. Savage and A.H. Lachenbruch (2003), Consequences of viscous drag beneath a transform fault, J. Geophys. Res., vol.108 (B1), 2025, doi:10.1029/2001JB000711.

C.H. Scholz (1998), Earthquakes and firction laws, Nature, Vol.391, 37-42.

R. Tibi, G. Bock, and D.A. Wiens (2003), Source characteristics of large deep earthquakes: Constraint on the faluting mechanism at great depth, J. Geophys. Res., Vol.108 (B2), 2091, doi:10.1029/2002JB001948.

K. Uenishi and J.R. Rice (2003), Universal nucleation length for slip-weakening rupture instability under nonuniform fault loading, J. Geophys. Res., Vol.108 (B1), 2042, doi:10.1029/2001JB001681.

C. Voisin (2002), Dynamic triggering of earthquakes: the nonlinear slip-dependent friction case, J. Geophys. Res., Vol.107 (B12), 2356, doi:10.1029/2001JB001121.

K. Wang, R. Wells, S. Mazzotti, R.D. Hyndman, and T. Sagiya (2003), A revised dislocation model of interseismic deformation of the Cascadia subduction zone, J. Geophys. Res., Vol.108 (B1), 2046, doi:10.1029/2001JB001227.

J. Weertman (1980), Unstable slippage across a fault that separates elastic media of different elastic constants J. Geophys. Res., Vol.85 (B3), 1455-1461.


###### Scattering, attenuation

K. Aki (1980), Attenuation of shear-waves in the lithosphere for frequencies, Phys. Earth Planet. Inter., vol.21, 50-60.

K. Aki (1992), Scattering conversions P to S versus S to P, Bull. Seism. Soc. Am., vol.82 (4), 1969-1972.

K. Aki and B. Chouet (1975), Origin of coda waves: source, attenuation, and scattering effects, J. Geophys. Res., vol.80 (23), 3322-3342.

A. Akinci and H. Eyido\v{g}an (2000), Scattering and anelastic attenuation of seismic energy in the vicinity of north anatolian fault zone, eastern Turkey, Phys. Earth Planet. Inter., vol.122, 229-239.

V.F. Cormier and X. Li (2002), Frequency-dependent seismic attenuation in the inner core, 2. A scattering and fabric interpretation, J. Geophys. Res., Vol.107 (B12), 2362, doi:10.1029/2002JB001796.

M. Fehler, M. Hoshiba, H. Sato, and K. Obara (1992), Separation of scattering and intrinsic attenuation for the Kanto-Tokai region, Japan, using measurements of S-wave energy versus hypocentral distance, Geophys. J. Int., vol.108, 787-800.

M. Fehler and H. Sato (2003), Coda, Pure Appl. Geophys., Vol.160, 541-554.

P.M. Hatzidimitriou (1994), Scattering and anelastic attenuation of seismic energy in Northern Greece, Pure Appl. Geophys., Vol.143 (4), 587-601

X. Li and V.F. Cormier (2002), Frequency-dependent seismic attenuation in the inner core, 1. A viscoelastic interpretation, J. Geophys. Res., Vol.107 (B12), 2361, doi:10.1029/2002JB001795.

K. Mayeda, S. Koyanagi, M. Hoshiba, K. Aki, and Y. Zeng (1992), A comparitive study of scattering, intrinsic, and coda Q^{-1} for Hawaii, Long Valley, and Central California between 1.5 and 15.0 Hz, J. Geophys. Res., Vol.97 (B5), 6643-6659.

L.G. Pujades, A. Ugalde, J.A. Canas. M. Navarro, F.J. Badal, and V. Corchete (1997), Intrinsic and scattering attenuation from observed seismic codas in the Almeria Basin (southeastern Iberian Peninsula), Geophys. J. Int., Vol.129, 281-291.

A. Schubnel and Y. Gu\'eguen (2003), Dispersion and anisotropy of elastic waves in cracked rocks, J. Geophys. Res., Vol.108 (B2), 2101, doi:10.1029/2002JB001824.