caa a22 4500 477047114 CHVBK 20180405111333.0 cr unu---uuuuu 170330e19960301xx s 000 0 eng 10.1007/BF00882054 doi (NATIONALLICENCE)springer-10.1007/BF00882054 Klimeš Luděk Department of Geophysics, Charles University, Ke Karlovu 3, 121 16, Praha 2, Czech Republic aut Accuracy of elastic finite differences in smooth media [Elektronische Daten] [Luděk Klimeš] The accuracy of finite-difference schemes of the 2nd and 4th order in 2-D and 3-D regular rectangular grids is studied. The method of designing the schemes and estimating their accuracy is proposed. The paper is devoted to the point schemes, expressed in terms of the discretized (point) values of the wave field and material parameters. Only the common schemes applicable in smooth parts of seismic models, outside structural interfaces, are taken into account. Finite differences at structural interfaces are studied elsewhere. The inaccuracy of finite-difference schemes is governed, above all, by the error in the phase velocity, caused by discretization. This error is estimated for several finite-difference schemes. It is explicitly dependent on the direction of propagation and on wave polarization. The maximum phase-velocity error over all directions of propagation enables the accuracy of the individual schemes to be appreciated in order to select the best one. The proposed approach is general and applicable to other finite-difference schemes, for example, of the 6th and higher orders. Birkhäuser Verlag, 1996 Seismic waves nationallicence finite differences of the 2nd and 4th order nationallicence 2-D and 3-D seismic modeling nationallicence accuracy nationallicence elasticity nationallicence pure and applied geophysics Birkhäuser-Verlag 148/1-2(1996-03-01), 39-76 0033-4553 148:1-2<39 1996 148 24 https://doi.org/10.1007/BF00882054 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00882054 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Klimeš Luděk Department of Geophysics, Charles University, Ke Karlovu 3, 121 16, Praha 2, Czech Republic aut NATIONALLICENCE 773 0- pure and applied geophysics Birkhäuser-Verlag 148/1-2(1996-03-01), 39-76 0033-4553 148:1-2<39 1996 148 24 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer