Compared to the conventional high-order staggered-grid finite-difference method (C-SFD), the time–space domain dispersion-relation-based high-order staggered-grid finite-difference method (TS-SFD) can ...

Abstract: This paper presents a finite difference method for the design of gradient coil in MRI. In this method, a linear matrix equation is formulated using a finite-difference approximation of the ...

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 ...

Abstract: As is known finite difference methods or multistep methods can been applied to solve scientific and technical tasks as the numerical methods with different properties. For this, here have ...

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Option pricing with various models (Black-Scholes, Heston, Merton jump diffusion, etc) and methods (Monte Carlo, finite difference, Fourier). Finite-Difference Approximations to the Heat Equation.

Department of Mathematics, College of Science, King Abdulaziz University, Jeddah, KSA. This paper is devoted to derive a logarithmic finite difference method as a new method to solve the Troesch’s ...

Computer Science Department, Purdue University, West Lafayette, IN, USA. In this paper I present a novel polynomial regression method for a uniformly sampled sequence of noisy data points that I call ...