Approximation of the Stieltjes Integral and Applications in Numerical Integration [PDF]
, 2003 Some inequalities for the Stieltjes integral and applications in numerical integration are given. The Stieltjes integral is approximated by the product of the divided difference of the integrator and the Lebesgue integral of the integrand.
Cerone, Pietro, Dragomir, Sever S
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Local RBF approximation for scattered data fitting with bivariate splines [PDF]
, 2005 In this paper we continue our earlier research [4] aimed at developing effcient methods of local approximation suitable for the first stage of a spline based two-stage scattered data fitting algorithm.
Davydov, O., Sestini, A., Morandi, R.
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Approximation methods for hybrid diffusion systems with state-dependent switching processes : numerical algorithms and existence and uniqueness of solutions [PDF]
, 2010 By focusing on hybrid diffusions in which continuous dynamics and discrete events coexist, this work is concerned with approximation of solutions for hybrid stochastic differential equations with a state-dependent switching process.
Yuan, Chenggui +3 more
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Efficient approximation of random fields for numerical applications [PDF]
, 2014 This article is dedicated to the rapid computation of separable expansions for the approximation of random fields. We consider approaches based on techniques from the approximation of non-local operators on the one hand and based on the pivoted Cholesky ...
Michael Peters +5 more
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Generating Numerical Approximations
Computational Linguistics, 2012 We describe a computational model for planning phrases like “more than a quarter” and “25.9 per cent” which describe proportions at different levels of precision. The model lays out the key choices in planning a numerical description, using formal definitions of mathematical form (e.g., the distinction between fractions and percentages) and roundness ...
Richard Power, Sandra Williams
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Numerical Ruin Probability in the Dual Risk Model with Risk-Free Investments
Risks, 2018 In this paper, a dual risk model under constant force of interest is considered. The ruin probability in this model is shown to satisfy an integro-differential equation, which can then be written as an integral equation. Using the collocation method, the
Sooie-Hoe Loke, Enrique Thomann
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Numerical Approaches to Fractional Integrals and Derivatives: A Review
Mathematics, 2020 Fractional calculus, albeit a synonym of fractional integrals and derivatives which have two main characteristics—singularity and nonlocality—has attracted increasing interest due to its potential applications in the real world.
Min Cai, Changpin Li
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Accurate ENO-like schemes for the model of fluid flows in a nozzle with variable cross-section [PDF]
Iranian Journal of Numerical Analysis and OptimizationA class of accurate high-order $ENO$-like schemes for the model of fluid flows in a nozzle with variable cross-section is presented. The model contains a nonconservative source term, which causes unsatisfactory results to standard numerical schemes, even
D.H. Cuong, M.D. Thanh
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Numerical Approximation of Optimal Convex Shapes [PDF]
SIAM Journal on Scientific Computing, 2020 This article investigates the numerical approximation of shape optimization problems with PDE constraint on classes of convex domains. The convexity constraint provides a compactness property which implies well posedness of the problem. Moreover, we prove the convergence of discretizations in two-dimensional situations. A numerical algorithm is devised
Sören Bartels, Gerd Wachsmuth
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Optimal Control of the Van der Pol Oscillator Problem by Using Orthogonal Polynomial-Based Optimization [PDF]
Control and Optimization in Applied MathematicsThe orthogonal polynomials approximation method is widely regarded as a highly effective and versatile technique for solving optimal control problems in nonlinear systems.
Reza Dehghan
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