Finite difference methods have become a cornerstone in the simulation of seismic wave propagation, providing a robust numerical framework to approximate the differential equations that govern seismic ...
SIAM Journal on Numerical Analysis, Vol. 26, No. 6 (Dec., 1989), pp. 1474-1486 (13 pages) An explicit finite difference algorithm is developed to approximate the solution of a nonlinear and nonlocal ...
We consider the application of finite-difference methods to the numerical solution of boundary-value problems. In particular we are concerned to study the feasibility and convergence of the difference ...
Copyright AD-TECH; licensee AZoM.com Pty Ltd. This is an AZo Open Access Rewards System (AZo-OARS) article distributed under the terms of the AZo–OARS https://www ...
My main research interests are in developing, analyzing, and implementing numerical methods, in particular for solving PDEs to high orders of accuracy. Such methods include pseudospectral and high ...
Liquefaction risk assessment of a saturated soil deposit is presented next to illustrate the proposed Monte Carlo procedure. A loose to medium dense hydraulically placed sand deposit (Fig. 4a), with ...
A free-boundary formulation is considered for the price of American options under jump-diffusion models with finite jump activity. On the free boundary a Cauchy boundary condition holds, due to the ...
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