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Numerical Integration Methods
During this chapter, the topic of numerical integration methods is discussed. As the inverse operation of a derivative, the integration methods are...
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Numerical Integration
What is numerical integration? Numerical integration or (numerical) quadrature...
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Numerical Integration
Does our multilevel refinement work well? Does it approximate well the original domain? To check on this, we use numerical integration. Fortunately,...
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A general quantum algorithm for numerical integration
Quantum algorithms have shown their superiority in many application fields. However, a general quantum algorithm for numerical integration, an...
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Geometric Numerical Integration
Modern Numerical Analysis is not only devoted to approximating the solutions of various problems through accurate and efficient numerical schemes,...
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A novel precise integration-based updated numerical integration method for milling stability prediction
Stability lobe diagrams (SLDs) can be employed to determine the stability behavior of a milling process. Hence, SLD recognition is an important issue...
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Numerical integration of bivariate fractal interpolation functions on rectangular domains
This paper primarily focuses on the derivation of fractal numerical integration for the data sets corresponding to two variable signals defined over...
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Numerical Integration
Integration is a very common requirement in quantitative finance. In some cases integrals can be evaluated analytically, or at least in terms of...
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Numerical Integration
When computing the element stiffness matrix and the load vector, an important part is the solution of integrals like.
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Numerical Analysis of an Efficient Time Integration Scheme for Unsteady Conjugate Heat Transfer
AbstractThe computational results of a time integration method for thermal interaction between viscous gas flows and solid domains are presented. The...
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Numerical Integration
Integration is one of the most important mathematical operations used by scientists and engineers.
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A numerical technique based on multiplicative integration strategy for fractional Darboux problem
In this paper, a numerical strategy is introduced for solving a class of linear fractional-order Darboux problem that includes the Caputo derivative....
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A single point integration rule for numerical manifold method without locking and hourglass issues
Due to the salient feature of cutting operation, the numerical manifold method (NMM) can deal with an any-shaped problem domain by the simplest...
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On an accurate numerical integration for the triangular and tetrahedral spectral finite elements
In the triangular/tetrahedral spectral finite elements, we apply a bilinear/trilinear transformation to map a reference square/cube to a...
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An Optimal Quadrature Formula for Numerical Integration of the Right Riemann–Liouville Fractional Integral
AbstractIn the present article, the problem of construction of the optimal quadrature formula for numerical integration of the right...
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On the Numerical Integration of the Multidimensional Kuramoto Model
The Kuramoto model, describing the synchronization dynamics of coupled oscillators, has been generalized in many ways over the past years. One recent...
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Numerical Integration
The objective of this chapter is to derive and then test methods that can be used to evaluate the definite integral
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A Numerical Time Integration Procedure for Secondary Dendrite Arm Spacing in Hyper-Peritectic Steel Alloys
A numerical time integration procedure for the calculation of the secondary dendrite arm spacing (SDAS) in FeC hyper-peritectic alloys is presented,...
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On the convergence of numerical integration as a finite matrix approximation to multiplication operator
We study the convergence of a family of numerical integration methods where the numerical integration is formulated as a finite matrix approximation...
