This year’s Abel Prize, an annual lifetime achievement award for mathematics that is bestowed by the Norwegian Academy of Science and Letters and was modeled on the Nobel Prize, has been given to Gerd ...

In this video, learn how to solve boundary value differential equations using the finite difference method in Python. We break down the mathematical theory behind differential equations and transform ...

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 ...

Flat tires happen so often, they're practically an inevitability for the millions of American drivers out there on the road. If you break down the math on the 220 million flats reported a year on ...

ABSTRACT: This study presents a comprehensive numerical investigation of fourth-order nonlinear boundary value problems (BVPs) using an efficient and accurate computational approach. The present work ...

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 ...

INTRODUCTION: The finite element method (FEM) is an engineering resource applied to calculate the stress and deformation of complex structures, and has been widely used in orthodontic research. With ...

TAMPA --If Nate Schmidt learned anything during the 2018 Stanley Cup Playoffs, it was that depth scoring is often the difference between winning and losing. It was, after all, exactly what doomed his ...

ABSTRACT: Beam is one of the common structures in engineering, with the development of technology, homogeneous beams no longer meet the needs of engineering structural design, for this reason, people ...

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 ...

Abstract: The unconditionally stable (US) Chebyshev (CS) finite-difference time-domain (FDTD) method is extended for solving the problems of long-time simulation or harmonic resonance using a ...