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02/08/2023
Orthogonal systems for time-dependent spectral methods
This paper is concerned with orthonormal systems in real intervals, give...
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06/15/2022
Sobolev-Orthogonal Systems with Tridiagonal Skew-Hermitian Differentiation Matrices
We introduce and develop a theory of orthogonality with respect to Sobol...
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02/16/2021
Positivity-preserving methods for population models
Many important applications are modelled by differential equations with ...
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01/31/2021
Solving the linear semiclassical Schrödinger equation on the real line
The numerical solution of a linear Schrödinger equation in the semiclass...
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01/07/2021
Approximation of wave packets on the real line
In this paper we compare three different orthogonal systems in L_2(ℝ) wh...
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12/14/2020
A Differential Analogue of Favard's Theorem
Favard's theorem characterizes bases of functions {p_n}_n∈ℤ_+ for which ...
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11/20/2019
A family of orthogonal rational functions and other orthogonal systems with a skew-Hermitian differentiation matrix
In this paper we explore orthogonal systems in L_2(R) which give rise to...
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11/13/2019