Exact and Approximate Solutions of A Fractional Diffusion Problem with Fixed Space Memory Length
International Journal of Applied Mathematics and Computer ScienceWe study a fractional differential diffusion equation, where the spatial derivative is expressed by the fractional differential operator with a fixed space memory length.
Klimek Malgorzata, Blaszczyk Tomasz
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GloMarGridding: A Python Toolkit for Flexible Spatial Interpolation in Climate Applications
Geoscience Data Journal, Volume 13, Issue 2, April 2026.Global surface climate datasets contain structural uncertainty that is difficult to attribute to individual processing steps. We present GloMarGridding, a Python package that isolates the spatial interpolation component using Gaussian Process Regression (or kriging) to generate spatially complete fields and uncertainty estimates. The techniques used in
Richard C. Cornes +6 more
wiley +1 more source
On the shape of the radiation survival curve in tumor spheroids: The role of oxygen heterogeneity
Medical Physics, Volume 53, Issue 4, April 2026.Abstract Background The shape of cell survival curves at the tissue level remains an open question in radiobiology. While homogeneous cell populations (so‐called single cells) typically exhibit an exponential decrease in survival with increasing dose, it is unclear whether this behavior persists in multicellular systems, where oxygen and nutrient ...
Uwe Schneider +2 more
wiley +1 more source
Loss Behavior in Supervised Learning With Entangled States
Advanced Quantum Technologies, Volume 9, Issue 4, April 2026.Entanglement in training samples supports quantum supervised learning algorithm in obtaining solutions of low generalization error. Using analytical as well as numerical methods, this work shows that the positive effect of entanglement on model after training has negative consequences for the trainability of the model itself, while showing the ...
Alexander Mandl +4 more
wiley +1 more source
A rational cubic trigonometric approximation scheme of the generalized Cornu spirals. [PDF]
Springerplus, 2016 Mahmood H, Hussain M, Hussain MZ.
europepmc +1 more source
Breaking Barriers in High‐Order Spectral Methods: The Intrinsic Matrix Approach
International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.ABSTRACT This paper introduces a unified framework in Hilbert spaces for applying high‐order differential operators in bounded domains using Chebyshev, Legendre, and Fourier spectral methods. By exploiting the banded structure of differentiation matrices and embedding boundary conditions directly into the operator through a scaling law relating ...
Osvaldo Guimarães, José R. C. Piqueira
wiley +1 more source
Trigonometric derived rate of convergence of various smooth singular integral operators
Modern Mathematical MethodsIn this article, we continue the study of approximation of various smooth singular integral operators. This time the foundation of our research is a trigonometric Taylor’s formula.
George Anastassiou
doaj
Equivalence between various Shape Preserving Approximations of periodic functions
Researches in MathematicsWe show that the validity of Jackson-type estimates in comonotone and coconvex approximations of continuous $2\pi$-periodic functions by trigonometric polynomials is equivalent to the validity of the corresponding estimates of approximation by continuous
D. Leviatan, O.V. Motorna, I.O. Shevchuk
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Bernstein’s theorem and trigonometric approximation [PDF]
Transactions of the American Mathematical Society, 1936 openaire +2 more sources
On Diophantine approximation and trigonometric polynomials [PDF]
Pacific Journal of Mathematics, 1959 openaire +3 more sources