Computational geometryintersectionsNCtool-path generationAlgorithms have been derived for computing 3D tool paths for planar and non-planar machined surfaces. Concepts from computational geometry such as vector
There are three kinds of distinct mathematics: natural mathematics (NMA), computational/computer mathematics (CMA), and regular mathematics (RMA). It is Nature that feeds all the required inputs such as the seed, heat, light, and nutrients, and executes all the functions which outputs a tree...
Too high or too low learning rate of neural networks has a detrimental effect on the computational accuracy of the model14. A suitable learning rate can make the target function quickly restore the partial optimal solution. However, there is still no suitable formula to set the learning rate ...
for developing scientific simulations using the Go language. We mainly consider the development of numerical methods and solvers for differential equations. We also present some functions for fast Fourier transforms, the generation of random numbers, probability distributions, and computational geometry. ...
In this novel research work, steady, incompressible flow of non-Newtonian fluid (micropolar fluid) is addressed over a stretched curved surface. Viscous effects is accounted. The governing flow expression are first altered into ordinary system and then computational results are computed. The main conc...
Combined with (50), this reveals the dependence of the relative error on the computational cost, through the parameter N; specifically, the errors are O(N^{-2/d}) as N\rightarrow \infty. The above bound can also be written in terms of the refinement level \ell using \frac{N}{M}=...
Numerical Simulation Partial Differential Equations Mathematical and Computational Engineering Applications 1 Introduction The Virtual Element Method (VEM) was first proposed in [1] for elliptic problems in two space dimensions as a generalization of the Finite Element Method (FEM), where the mesh ele...
The frame — This becomes important only when different frames exist, as with moving mesh, deformed geometry, and geometric nonlinearity in structural mechanics. Simply put: Should the integral be taken over a deformed or undeformed geometry?
Computational Mathematics 31 EditorialBoard R.Bank R.L.Graham J.Stoer R.Varga H.Yserentant ErnstHairer ChristianLubich GerhardWanner GeometricNumerical Integration Structure-PreservingAlgorithms forOrdinaryDifferentialEquations SecondEdition With146Figures ABC PrefacetotheFirstEdition Theythrowgeometryoutthedoor,an...
a geometry-related factor, is also taken into consideration as a crucial component. Furthermore, the specularity coefficient, which is a wall boundary coefficient related to thekinetic theoryfor granular flows (Zhong et al., 2015), is considered as a modeling parameter. After identifying the model...