Finite-difference approximations for the first derivative, valid halfway between equidistant gridpoints, are in general much more accurate than the corresponding approximations, which are valid at ...

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 ...

Abstract: This letter proposes a generalized and controllable-stability conformal method to address stability challenges inherent in conformal finite-difference time-domain algorithms. A quantitative ...

Abstract: Local dip estimation is essential for various applications in exploration geophysics, directly impacting seismic interpretation and imaging quality. Conventional methods, including the ...

According to Basel III, financial institutions have to charge a credit valuation adjustment (CVA) to account for a possible counterparty default. Calculating this measure and its sensitivities is one ...

Abstract: Immersed finite element methods enable the simulation of physical systems that are challenging - or even prohibitively complex - for classical finite element approaches, spanning domains ...

ABSTRACT: This paper focuses on constructing the adaptive analysis model based on the Finite Element Method (FEM) with an unstructured mesh, which includes taking full advantage of the two-dimensional ...