From quantum error correction to emergent gravity: Probing holographic universes at QLab

One of the deepest ambitions in modern physics is understanding how the fabric of space and time could emerge from fundamental quantum degrees of freedom to establish a quantum theory of gravity.
IEEE

Finite-Difference Gradient Approximation-Based Phase Shift Adaptive Correction Flux Waveform Controller in Ferromagnetic Material Testing

Abstract: Among various magnetic property measurement devices, single-sheet testers (SSTs) are widely used due to their adaptability. However, the inherent nonlinearity of SSTs introduces unknown ...
Simon Fraser University

Finite Difference Approximations of Derivatives

First-order derivatives: n additional function calls are needed. Second-order derivatives based on gradient calls, when the "grd" module is specified (Dennis and Schnabel 1983): n additional gradient ...
Machine Design

What’s The Difference Between FEM, FDM and FVM?

What Are FEM, FDM and FVM? FEM, FDM and FVM differ from one another in important ways. Understanding these distinctions is key to selecting the method most appropriate for your purposes. The ...
Frontiers

Numerical modeling of mixed convective nanofluid flow with fractal stochastic heat and mass transfer using finite differences

This study presents the first comprehensive numerical simulation of heat and mass transfer in fractal-like mixed convective nanofluid flows. The flow of non-Newtonian nanofluids over flat and ...
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 ...
Scientific Research Publishing

Godunov, S.K. (1959) A Finite Difference Method for the Numerical Computation of Discontinuous Solutions of the Equations of Fluid Dynamics. Matematicheskii Sbornik, 47, 271-306.

ABSTRACT: In this paper, we shall be concerned with the numerical solution of parabolic equations in one space variable and the time variable t. We expand Taylor series to derive a higher-order ...
IEEE

Three-Dimensional Elastic Full-Waveform Inversion Using Temporal Fourth-Order Finite-Difference Approximation

Abstract: Full-waveform inversion (FWI) serves as a useful tool to quantitatively investigate the properties of the subsurface. Presently, 3-D elastic FWI uses a finite-difference time-domain (FDTD) ...
Interesting Engineering

What Is Finite Element Analysis and How Does It Work?

Finite Element Analysis, or FEA, is the simulation of a physical phenomenon using a numerical mathematic technique called the Finite Element Method, or FEM. This process is at the core of mechanical ...
Scientific Research Publishing

V. B. Andreev and N. Kopteva, “On the Convergence, Uniform with Respect to a Small Parameter of Monotone Three-Point Finite-Difference Approximations,” Journal of ...

ABSTRACT: In this paper, a numerical solution for a system of singularly perturbed convection-diffusion equations is studied. The system is discretized by the Il’in scheme on a uniform mesh. It is ...