Results 21 to 30 of about 9,356,932 (171)
Tensor decomposition and homotopy continuation [PDF]
, 2016 A computationally challenging classical elimination theory problem is to compute polynomials which vanish on the set of tensors of a given rank. By moving away from computing polynomials via elimination theory to computing pseudowitness sets via ...
Bernardi, Alessandra +3 more
core +4 more sources
Fractal and Fractional, 2022 In this article, we develop a numerical method based on the operational matrices of shifted Vieta–Lucas polynomials (VLPs) for solving Caputo fractional-order differential equations (FDEs).
Zulfiqar Ahmad Noor +3 more
doaj +1 more source
Machine Precision Evaluation of Singular and Nearly Singular Potential Integrals by Use of Gauss Quadrature Formulas for Rational Functions [PDF]
, 2008 A new technique for machine precision evaluation of singular and nearly singular potential integrals with 1/R singularities is presented. The numerical quadrature scheme is based on a new rational expression for the integrands, obtained by a cancellation
Graglia R.D, Lombardi, Guido
core +1 more source
International Journal of Differential Equations, 2021 In this paper, a class of fractional order differential equation expressed with Atangana–Baleanu Caputo derivative with nonlinear term is discussed.
Meryeme Hassouna +2 more
doaj +1 more source
Conditioning moments of singular measures for entropy maximization II: Numerical examples
, 2015 If moments of singular measures are passed as inputs to the entropy maximization procedure, the optimization algorithm might not terminate. The framework developed in our previous paper demonstrated how input moments of measures, on a broad range of ...
Budišić, Marko, Putinar, Mihai
core +1 more source
Numerical methods for Stochastic differential equations: two examples
ESAIM: Proceedings and Surveys, 2018 The goal of this paper is to present a series of recent contributions arising in numerical probability. First we present a contribution to a recently introduced problem: stochastic differential equations with constraints in law, investigated through ...
de Raynal Paul-Éric Chaudru +2 more
doaj +1 more source
Continuum Field Model of Street Canyon: Numerical Examples. Part 2
Engineering Transactions, 2015 Continuum field control model of a street canyon is considered. The six separate monocriterial optimal control problems consist of minimization of functionals of the total travel time, of global emissions of pollutants, and of global concentrations of ...
M.M. Duras
doaj +1 more source
Clustering solver for displacement-based numerical homogenization
Theoretical and Applied Mechanics Letters, 2022 Based on strain-clustering via k-means, we decompose computational domain into clusters of possibly disjoint cells. Assuming cells in each cluster take the same strain, we reconstruct displacement field.
Shaoqiang Tang, Xi Zhu
doaj +1 more source
Multi-component generalizations of the CH equation: geometrical aspects, peakons and numerical examples [PDF]
, 2010 The Lax pair formulation of the two-component Camassa–Holm equation (CH2) is generalized to produce an integrable multi-component family, CH(n, k), of equations with n components and 1 ⩽ |k| ⩽ n velocities.
Darryl D. Holm, R. Ivanov
semanticscholar +1 more source
Why more physics can help achieving better mathematics
, 2017 In this paper, we discuss the question whether a physical "simplification" of a model makes it always easier to study, at least from a mathematical and numerical point of view.
Eikmeier, André +2 more
core +1 more source