Scientific Research Publishing

LeVeque, R.J. (2007) Finite Difference Methods for Ordinary and Partial Differential Equations. SIAM.

ABSTRACT: The tactical organization of players in a 4-3-3 system is a crucial issue for optimizing collective performance in football. This article proposes an innovative mathematical approach to ...
IEEE

High-Precision Controllable-Stability Conformal Finite-Difference Time-Domain Method

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 ...
C&EN

Beyond Numerical Hessians: Higher-Order Derivatives for Machine Learning Interatomic Potentials via Automatic Differentiation

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. The development of machine learning interatomic potentials (MLIPs) has revolutionized ...
Frontiers

Studies of three dimensional stagged-grid finite difference for Z-axis tipper electromagnetic numerical simulation

ZTEM (Z-Axis Tipper Electromagnetic System) is a frequency-domain airborne electromagnetic exploration method that utilizes natural field sources. This method is highly efficient and capable of ...
IEEE

Finite-Difference Time-Domain Methods: From Fields and Potentials to Gauge-Invariant Field-Impulses With Universal Current-Impulse Source

Abstract: This article presents the finite-difference time-domain (FDTD) method for gauge-invariant field-impulses, which constitute the fundamental physical quantities of electromagnetics (EM) in ...
Frontiers

Innovative stochastic finite difference approach for modelling unsteady non-Newtonian mixed convective fluid flow with variable thermal conductivity and mass diffusivity

A novel stochastic numerical scheme is introduced to solve stochastic differential equations. The development of the scheme is based on two different parts. One part finds the solution for the ...