numerical methodsshock wavessurface waves (fluid)two-phase flowwave propagation/ finite difference techniquesfinite element techniquestwo-phase flowtruncation errornumerical modellingIn oil reservoir simulations
truncation, it is possible to estimate the errors and determine the error-bars for spectral functions, which is important when making accurate comparison to the results obtained by other methods and for determining the errors in the extracted quantities (such as peak positions, heights, and widths...
Understanding the concept of error and how it develops in numerical methods is important to the effective use of computer techniques.This study focuses on two major forms of numerical error: Round-off Error and Truncation Error.Reading Assignment:Chapra Chapter 4 (required)Chapra and Canale Section ...
A sixth order accurate numerical method is proposedfor nonlinear integral equations of the Fredholm type. First the problem is discretized and the integral approximated by the classical second order trapezoid rule. Then, the leading truncation error terms of the quadraturerule are approximated. The fir...
The review of the optimal local truncation error method (OLTEM) for the numerical solution of PDEs is presented along with some new developments of OLTEM. First, we explain the basic ideas of OLTEM for the 1-D wave equation and then we extend them to the time-dependent PDEs (the scalar...
The numerical results demonstrate that FLBT consistently outperforms traditional MOR methods in terms of accuracy and error reduction, making it an ideal solution for semiconductor manufacturing applications. The findings of this study have the potential to directly impact the semiconductor manufacturing ...
We perform a complete study of the truncation error of the Jacobi-Anger series. This series expands every plane wave in terms of spherical harmonics . We c... Q Carayol,F Collino - 《Esaim Mathematical Modelling & Numerical Analysis》 被引量: 33发表: 2005年 Fast inhomogeneous plane wave al...
"sigma"— Bar chart of Hankel singular values and associated error bounds. "energy"— Bar chart of normalized state energies. "loss"— Bar chart of neglected fraction of total energy. If you do not specify this argument, the functions uses"sigma"for balanced truncation objects. ...
"sigma"— Bar chart of Hankel singular values and associated error bounds. "energy"— Bar chart of normalized state energies. "loss"— Bar chart of neglected fraction of total energy. If you do not specify this argument, the functions uses"sigma"for balanced truncation objects. ...
In the present work, our aim is to get strong order-1 conditions with minimal truncation error constants of the Runge–Kutta method for optimal control problems of stochastic differential equations (SDEs). We let [Math Processing Error] be a numerical approximation to [Math Processing Error] ...