Approximate Derivations of Order n [PDF]
Acta Mathematica Hungarica, 2014 The aim of this paper is to prove characterization theorems for higher order derivations. Among others we prove that the system defining higher order derivations is stable. Further characterization theorems in the spirit of N.~G.~de Bruijn will also be presented.
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Stability, instability, and error of the force-based quasicontinuum approximation [PDF]
, 2009 Due to their algorithmic simplicity and high accuracy, force-based model coupling techniques are popular tools in computational physics. For example, the force-based quasicontinuum (QCF) approximation is the only known pointwise consistent quasicontinuum
Luskin, Mitchell Barry +5 more
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On Local and Controlled Approximation Order
Journal of Approximation Theory, 1993 The authors deal with approximations to smooth functions by objects which are essentially discrete convolutions. The purpose is to get error estimates for approximation power of dilates of these convolutions in terms of the dilation parameter \(h\).
Halton, E.J., Light, W.A.
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Numerical approximation for a variable-order nonlinear reaction-subdiffusion equation [PDF]
, 2013 Natural Science Foundation of Fujian province [2009J01014]Fractional reaction-subdiffusion equations are widely used in recent years to simulate physical phenomena. In this paper, we consider a variable-order nonlinear reaction-subdiffusion equation.
Turner, I. +6 more
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Approximation Properties for Orderings on ∗ -Fields [PDF]
Transactions of the American Mathematical Society, 1988 The goal of this paper is to extend the main theorems on approximation properties of the topological space of orderings from formally real fields to skew fields with an involution
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A High-order Coupled Compact Integrated RBF Approximation Based Domain Decomposition Algorithm for Second-order Differential Problems [PDF]
, 2015 This paper presents a high-order coupled compact integrated RBF (CC IRBF) approximation based domain decomposition (DD) algorithm for the discretisation of second-order differential problems.
Tien, C. M. T. +9 more
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Hamiltonian Perturbations at the Second-Order Approximation [PDF]
Annales Henri Poincaré, 2020 Integrability condition of Hamiltonian perturbations of integrable Hamiltonian PDEs of hydrodynamic type up to the second order approximation is considered.
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Algorithms and error bounds for multivariate piecewise constant approximation [PDF]
, 2011 We review the surprisingly rich theory of approximation of functions of many vari- ables by piecewise constants. This covers for example the Sobolev-Poincar´e inequalities, parts of the theory of nonlinear approximation, Haar wavelets and tree ...
Davydov, Oleg
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ON THE ORDER OF METRIC APPROXIMATION OF MAXIMAL LINKED SYSTEMS AND CAPACITARIAN DIMENSIONS
Transactions of the Karelian Research Centre of the Russian Academy of Sciences, 2019 It is shown that in any metric compact space X there exists a countable closed subset F whose upper capacitarian dimension dimBF is equal to any preassigned non-negative number not exceeding the upper capacitarian dimension of X.
Alexander Ivanov, Ol’ga Fomkina
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Numerical Approximation of Fractional-Order Volterra Integrodifferential Equation
Journal of Function Spaces, 2020 Laplace transform is a powerful tool for solving differential and integrodifferential equations in engineering sciences. The use of Laplace transform for the solution of differential or integrodifferential equations sometimes leads to the solutions in ...
Xiaoli Qiang +3 more
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