**Submitted for publication**

Kawai, K., N. Takeuchi, and R.J. Geller, Feasibility of inversion
of seismic waveforms for local structure of D",
*Geophys. Res. Lett.,* submitted.

Hirabayashi, N ., R.J. Geller, and H. Mizutani, Superiority of optimally accurate schemes for numerical
calculation of synthetic seismograms: 1-D examples,
*Geophys. J. Int.,* submitted. [PDF]

Geller, R.J., H. Mizutani, and N. Hirabayashi, Existence of a second range of stability of optimally accurate
finite-difference schemes for numerically solving the wave equation,
*J. Comp. Physics.,* submitted. [PDF]

Geller, R.J., N. Hirabayashi, and H. Mizutani, A comparison of staggered-grid, conventional
one-step, and optimally accurate finite-difference
schemes for computing synthetic seismograms,
*Geophysics,* submitted. [PDF]

**Published papers with downloadable reprints
**

Kawai, K., N. Takeuchi, and R.J. Geller, Complete synthetic seismograms up
to 2 Hz for transversely isotropic spherically symmetric media, *Geophys.
J. Int.,* **164**, 411-424, 2006. [PDF]

Takeuchi, N., and R.J. Geller, Accurate numerical methods for solving the elastic
equation of motion for arbitrary source locations, *Geophys. J. Int.,*
**154**, 852-866, 2003. [PDF]

Geller, R.J., T. Hara, Geophysical aspects of very long baseline neutrino experiments,
*Nucl. Inst. Meth. Phys. Res. A, ***503**, 187-191, 2003. [PDF]

Pham, V.N., and R.J. Geller, Comment on "Signature of pending earthquake
from electromagnetic anomalies'', *Geophys. Res. Lett.*, **29**, doi:10.1029/2002GL015328, 2002. [PDF]

Hara, T., and R.J. Geller, Simultaneous waveform inversion for three-dimensional
Earth structure and earthquake source parameters considering a wide range of
modal coupling,* Geophys. J. Int., ***142**, 539-550, 2000. [PDF]

Takeuchi, N., and R.J. Geller, Optimally accurate second order time-domain
finite difference scheme for computing synthetic seismograms in 2-D and 3-D
media, *Phys. Earth Planet. Int., ***119**, 99-131, 2000. [PDF]

Mizutani, H., N. Takeuchi, and R.J. Geller, Comparison of accuracy and efficiency
of time-domain schemes for calculating synthetic seismograms, *Phys. Earth
Planet. Int.,* **119**, 75-97, 2000. [PDF]

Takeuchi, N., R.J. Geller, and P.R. Cummins, Complete synthetic seismograms
for 3-D heterogeneous Earth models computed using modified DSM operators and
their applicability to inversion for Earth structure, *Phys. Earth Planet.
Int.,* **119**, 25-36, 2000 [PDF]

Igel, H., N. Takeuchi, R.J. Geller, C. Megnin, H.P. Bunge, E. Clevede, J. Dalkolmo,
and B. Romanowicz, The COSY Project: verification of global seismic modeling
algorithms, *Phys. Earth Planet. Int.,* **119**, 3-23, 2000. [PDF]

Geller, R.J., and N. Takeuchi, Optimally accurate second order time domain
finite difference scheme for the elastic equation of motion, *Geophys. J.
Int., ***135**, 48-62, 1998. [PDF]

Cummins, P.R., N. Takeuchi, and R.J. Geller, Computation of complete synthetic
seismograms for laterally heterogeneous models using the Direct Solution Method,
*Geophys. J. Int.,* **130**, 1-16, 1997. [PDF]

Takeuchi, N., R.J. Geller, and P.R. Cummins, Highly accurate P-SV complete
synthetic seismograms using modified DSM operators, *Geophys. Res. Lett.,*
**23**, 1175-1178, 1996. [PDF]

Geller, R.J., and N. Takeuchi, A new method for computing highly accurate DSM
synthetic seismograms, *Geophys. J. Int.,* **123**, 449-470, 1995. [PDF]

Cummins, P.R., R.J. Geller, T. Hatori, and N. Takeuchi, DSM complete synthetic
seismograms: SH, spherically symmetric, case, *Geophys. Res. Lett.,* **21**,
533-536, 1994. [PDF]

Cummins, P.R., R.J. Geller, and N. Takeuchi, DSM complete synthetic seismograms:
P-SV, spherically symmetric, case, *Geophys. Res. Lett.,* **21**, 1663-1666,
1994. [PDF]

**Published papers in refereed journals
(from 1974 to 2000)
**

- N. Takeuchi, R. J. Geller and P.R. Cummins: "Complete synthetic seismograms for 3-D heterogeneous Earth models computed using modifed DSM operators and their applicability to inversion for Earth structure," Phys. Earth Planet. Int., 119 (2000) 25-36.
- N. Takeuchi and R.J. Geller: "Optimally accurate second order time-domain finite difference scheme for computing synthetic seismograms in 2-D and 3-D media," Phys. Earth Planet. Int., 119 (2000) 99-131.
- H. Mizutani, R.J. Geller N. Takeuchi: "Comparison of accuracy and efficiency of time-domain schemes for calculating synthetic seismograms," Phys. Earth Planet. Int., 119 (2000) 75-97.
- H. Igel, N. Takeuchi, R.J. Geller, C. Megnin, H.P. Bunge, E. Clevede, J. Dalkolmo, and B. Romanowicz: "The COSY Project: verification of global seismic modeling algorithms," Phys Earth Planet. Int., 199 (2000) 3-23.
- T. Hara and R.J. Geller: "Simultaneous waveform inversion for 3-D Earth structure and earthquake source parameters considering a wide range of modal coupling," Geophys. J. Int., 142 (2000) 539-550.
- R.J. Geller and N. Takeuchi: "Optimally accurate second order time domain finite difference scheme for the elastic equation of motion: 1-D case," Geophys. J. Int., 135 (1998) 48-62.
- P.R. Cummins, N. Takeuchi and R.J. Geller: "Computation of complete synthetic seismograms for laterally heterogeneous models using the Direct Solution Method," Geophys. J. Int., 130 (1997) 1-16.
- N. Takeuchi, R.J. Geller and P.R. Cummins: "Highly accurate P-SV complete synthetic seismograms using modified DSM operators," Geophys. Res. Lett., 23 (1996) 1175-1178.
- R.J. Geller and T. Hatori: "DSM synthetic seismograms using analytic trial functions: Plane-layered, isotropic, case," Geophys. J. Int., 120 (1995) 163-172.
- R.J. Geller and N. Takeuchi: "A new method for computing highly accurate DSM synthetic seismograms," Geophys. J. Int., 123 (1995) 449-470.
- R.J. Geller and T. Ohminato: "Computation of synthetic seismograms and their partial derivatives for heterogeneous media with arbitrary natural boundary conditions using the Direct Solution Method," Geophys. J. Int., 116 (1994) 421-446.
- T. Hara and R.J. Geller: "Anomalously large near-field Rayleigh waves excited by the 1992 Landers, California, earthquake," Bull. Seismol. Soc. Am., 84 (1994) 751-760.
- P.R. Cummins, R.J. Geller, T. Hatori and N. Takeuchi: "DSM complete synthetic seismograms: SH, spherically symmetric, case," Geophys. Res. Lett., 21 (1994) 533-536.
- P.R. Cummins, R.J. Geller and N. Takeuchi: "DSM complete synthetic seismograms: P-SV, spherically symmetric, case," Geophys. Res. Lett., 21 (1994) 1663-1666.
- T. Hara and R.J. Geller: "On the geological origin of long wavelength lateral heterogeneity in the mid-depth range of the upper mantle," Geophys. Res. Lett., 21 (1994) 907-910.
- T. Hara, S. Tsuboi and R.J. Geller: "Inversion for laterally heterogeneous upper mantle S-wave velocity structure using iterative waveform inversion," Geophys. J. Int., 115 (1993) 667-698.
- R.J. Geller and T. Hara: "Two efficient algorithms for iterative linearized inversion of seismic waveform data," Geophys. J. Int., 115 (1993) 699-710.
- T. Hara, S. Tsuboi and R.J. Geller: "Laterally heterogeneous upper mantle S-wave velocity structure obtained by iterative linearized waveform inversion," Proc. Japan Acad., 68B (1992) 155-160.
- T. Hara, S. Tsuboi and R.J. Geller: "Inversion for laterally heterogeneous earth structure using a laterally heterogeneous starting model: preliminary results," Geophys. J. Int., 104 (1991) 523-540.
- R.J. Geller: "Comment ongThe gravito-elastodynamics of a pre-stressed elastic earth," Geophys. J. Int., 106 (1991) 499-503.
- R.J. Geller, T. Hara and S. Tsuboi: "On the equivalence of two methods for computing partial derivatives of seismic waveforms," Geophys. J. Int., 100 (1990) 155-158.
- R.J. Geller, T. Hara and S. Tsuboi: "On the equivalence of two methods for computing partial derivatives of seismic waveforms. II - Laterally homogeneous initial model," Geophys. J. Int., 102 (1990) 499-502.
- R.J. Geller: "Reply," J. Phys. Earth , 38 (1990) 187-188.
- S. Tsuboi and R.J. Geller: "Coupling between the multiplets of laterally heterogeneous earth models," Geophys. J. Int., 96 (1989) 371-379.
- R.J. Geller: "Elastodynamics in a laterally heterogeneous, self-gravitating body," Geophys. J., 94 (1988) 271-283.
- R.J. Geller: "On the derivation of the elastic equation of motion," J. Phys. Earth, 36 (1988) 201-228.
- S.P. Morris, R.J. Geller, H. Kawakatsu and S. Tsuboi: "Variational free oscillation computations for three laterally heterogeneous earth models," Phys. Earth Planet. Int., 47 (1987) 288-318.
- S. Tsuboi and R.J. Geller: "Partial derivatives of synthetic seismograms for a laterally heterogeneous earth model," Geophys. Res. Lett., 14 (1987) 832-835.
- R.J. Geller, R. M. Noack and A. L. Fetter: "Normal mode solutions for absorbing boundary conditions," Geophys. Res. Lett., 12 (1985) 145-148.
- S. Tsuboi, R.J. Geller and S. P. Morris: "Partial derivatives of the eigenfrequencies of a laterally heterogeneous earth model," Geophys. Res. Lett., 12 (1985) 817-820.
- A.J. Michael and R.J. Geller: "Linear moment tensor inversion for shallow thrust earthquakes combining first-motion and surface wave data," J. Geophys. Res., 89 (1984) 1889-1897.
- J.P. Stefani, R.J. Geller and G. C. Kroeger: "A direct measurement of the distance between a hypocenter in a Benioff zone and the slab-mantle contact," J. Geophys. Res., 87 (1982) 323-328.
- S.C. Wang, K.C. McNally and R.J. Geller: "Strain release along the Middle America trench, Mexico," Geophys. Res. Lett., 9 (1982) 182-185.
- S.P.Morris and R.J. Geller: "A variational calculation of the toroidal modes of a simple laterally heterogeneous model," Bull. Seismol. Soc. Am., 72 (1982) 1155-1166.
- N.H. Sleep, R.J. Geller and S. Stein: "A constraint on the earth's
lateral heterogeneity from the scattering of spheroidal mode Q
^{-1}measurements," Bull. Seismol. Soc. Am., 71 (1981) 183-197. - S. Stein, J.M. Mills and R.J. Geller: "Q
^{-1}models from data space inversion of fundamental spheroidal mode attenuation measurements," in 'Anelasticity in the Earth', ed. F. Stacey et al., Geodynamics Series 4, American Geophysical Union (1981) 39-53. - M.A. Spieth, D.P. Hill and R.J. Geller: "Crustal structure in the Northwestern foothills of the Sierra Nevada from two seismic refraction experiments," Bull. Seismol. Soc. Am., 71 (1981) 1075-1087.
- H. Kawakatsu and R.J. Geller: "A new iterative method for finding the normal modes of a laterally heterogeneous body," Geophys. Res. Lett., 8 (1981) 1195-1197.
- R.J. Geller and C.S. Mueller: "Four similar earthquakes in central California," Geophys. Res. Lett., 7 (1980) 821-824.
- E.A. Okal and R.J. Geller: "On the observability of isotropic seismic sources: the 1970 Colombian earthquake," Phys. Earth Planet. Inter., 18 (1979) 176-196.
- E.A. Okal and R.J. Geller: "Determination of shear wave velocity at the base of the mantle from profiles of diffracted SH waves," Bull. Seismol. Soc. Am., 69 (1979) 1039-1053.
- S.C. Wang, R.J. Geller, S. Stein and B. Taylor: "An intraplate thrust earthquake in the South China Sea," J. Geophys. Res., 84 (1979) 5627-5631.
- S. Stein, N. H. Sleep, R.J. Geller, S.C. Wang and G. C. Kroeger: "Earthquakes along the passive margin of eastern Canada," Geophys. Res. Lett., 6 (1979) 537-540.
- N.H. Sleep, S. Stein, R.J. Geller and R. G. Gordon: "Comment on ``The use of minimum dissipation principle in tectonophysics," Earth Planet. Sci. Lett., 45 (1979) 218-220.
- R.J. Geller and S. Stein: "Time domain measurements of attenuation of fundamental spheroidal modes 0S6 - 0S28 for the 1977 Indonesian earthquake," Bull. Seismol. Soc. Am., 69 (1979) 1671-1691.
- R.J. Geller, G.A. Frazier and M. W. McCann Jr.: "Dynamic finite element modeling of dislocations in a laterally heterogeneous crust," J. Phys. Earth, 27 (1979) 395-407.
- R.J. Geller, and S. Stein: "Normal modes of a laterally heterogeneous body: a one dimensional example," Bull. Seismol. Soc. Am., 68 (1978) 103-116.
- S. Stein, and R.J. Geller: "Time domain observations and synthesis of split spheroidal and torsional free oscillations of the 1960 Chilean earthquake: Preliminary results," Bull. Seismol. Soc. Am., 68 (1978) 325-332.
- W.F. Miller, R.J. Geller and S. Stein: "Use of a bubble tiltmeter as a horizontal seismometer," Geophys. J. R. Astron. Soc., 54 (1978) 661-668.
- S. Stein and R.J. Geller: "Attenuation measurements of split normal modes for the 1960 Chilean and 1964 Alaskan earthquakes," Bull. Seismol. Soc. Am., 68 (1978) 1595-1611.
- R.J. Geller, H. Kanamori and K. Abe: "Addenda and corrections togMagnitude of great shallow earthquakes from 1904 to 1952," Bull. Seismol. Soc. Am., 68 (1978) 1763-1764.
- R.J. Geller and H. Kanamori: "Magnitudes of great shallow earthquakes from 1904 to 1952," Bull. Seismol. Soc. Am., 67 (1977) 587-598.
- R.J. Geller and S. Stein: "Split free oscillation amplitudes for the 1960 Chilean and 1964 Alaskan earthquakes," Bull. Seismol. Soc. Am., 67 (1977) 651-660.
- S. Stein, and R.J. Geller: "Amplitudes of the split normal modes of a rotating elliptical earth," J. Phys. Earth, 25 (1977) 117-142.
- R.J. Geller: "Scaling relations for earthquake source parameters and magnitudes," Bull. Seismol. Soc. Am., 66 (1976) 1501-1523.
- R.J. Geller: "Body force equivalents for seismic stress drop sources," Bull. Seismol. Soc. Am., 66 (1976) 1801-1804.
- R.J. Geller: "Representation theorems for an infinite shear fault," Geophys. J. R. Astr. Soc., 39 (1974) 123-131.
- R.J. Geller: "Comment ongEvidence of precursive compression for two deep earthquakes," Nature, 252 (1974) 28-29.

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