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math.NA2024
Regularization of Discrete Ill-Conditioned Problems Done Right -- I
Ibrahima Dione
When solving rank-deficient or discrete ill-posed problems by regularization methods, the choice of the regularization parameter is crucial. It is also of interest, the regularizat…
math.NA2023
High-Degree Splines from Discrete Fourier Transforms: Robust Methods to Obtain the Boundary Conditions
A. Pepin, S. Léger, N. Beaudoin
Computing accurate splines of degree greater than three is still a challenging task in today's applications. In this type of interpolation, high-order derivatives are needed on the…
math.NA2023★ 3 cited
Improved Moore-Penrose continuation algorithm for the computation of problems with critical points
S. Léger, P. Larocque, D. LeBlanc
Using typical solution strategies to compute the solution curve of challenging problems often leads to the break down of the algorithm. To improve the solution process, numerical c…