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09/15/2023
An entropy-based approach for a robust least squares spline approximation
We consider the weighted least squares spline approximation of a noisy d...
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05/30/2022
(Spectral) Chebyshev collocation methods for solving differential equations
Recently, the efficient numerical solution of Hamiltonian problems has b...
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03/21/2022
Continuous-Stage Runge-Kutta approximation to Differential Problems
In recent years, the efficient numerical solution of Hamiltonian problem...
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03/12/2022
Arbitrary high-order methods for one-sided direct event location in discontinuous differential problems with nonlinear event function
In this paper we are concerned with numerical methods for the one-sided ...
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10/27/2021
Arbitrarily high-order methods for Poisson problems
In this paper we are concerned with energy-conserving methods for Poisso...
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06/03/2021
A new framework for polynomial approximation to differential equations
In this paper we discuss a framework for the polynomial approximation to...
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07/18/2020
Maximal-entropy driven determination of weights in least-square approximation
We exploit the idea to use the maximal-entropy method, successfully test...
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02/24/2020
On the use of the Infinity Computer architecture to set up a dynamic precision floating-point arithmetic
We devise a variable precision floating-point arithmetic by exploiting t...
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01/30/2020
Arbitrarily high-order energy-preserving methods for simulating the gyrocenter dynamics of charged particles
Gyrocenter dynamics of charged particles plays a fundamental role in pla...
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12/03/2019
