Accurate seabed modeling using finite difference methods

Accurate Finite Difference Methods for Option Pricing

Advanced finite-difference methods for seismic modeling

Advanced finite-difference methods for seismic modeling Yang Liu1,2 and Mrinal K Sen2 State Key Laboratory of Petroleum Resource and Prospecting (China University of Petroleum, Beijing), Beijing, 102249, China The Institute for Geophysics, John A. and Katherine G. Jackson School of Geosciences, The University of Texas at Austin, 10100 Burnet Road, R2200 Austin, TX 78758, USA E-mail: wliuyang@vi...

Accurate Finite Difference Methods for Time-harmonic Wave Propagation

Finite difference methods for solving problems of time-harmonic acoustics are developed and analyzed. Multi-dimensional inhomogeneous problems with variable, possibly discontinuous, coefficients are considered, accounting for the effects of employing non-uniform grids. A weighted-average representation is less sensitive to transition in wave resolution (due to variable wave numbers or non-unifo...

Multiplicative Finite Difference Methods

Based on multiplicative calculus, the finite difference schemes for the numerical solution of multiplicative differential equations and Volterra differential equations are presented. Sample problems were solved using these new approaches.

Finite Difference Methods

In this notes, we summarize numerical methods for solving Stokes equations on rectangular grid, and solve it by multigrid vcycle method with distributive Gauss-Seidel relaxation as smoothing. The numerical methods we concerned are MAC scheme, nonconforming rotate bilinear FEM and nonconforming rotate bilinear FVM. 1. PROBLEM STATEMENT We consider Stokes equation (1.1) 8 >< >: μ ~ u +rp =~ f in ...