Results 51 to 60 of about 1,364,487 (206)

FinalKAN: A Dual‐Stream KAN Network Integrating Multisource Features for Radio Telescope Pointing Correction

open access: yesAdvances in Astronomy, Volume 2026, Issue 1, 2026.
This paper investigates the degradation of pointing accuracy in the Kunming 40‐m radio telescope due to long‐term equipment aging and environmental disturbances. Conventional linear pointing models are constrained by their linear modeling framework, making it difficult to accurately represent the nonlinear errors induced by temperature, wind speed, and
Yao He   +3 more
wiley   +1 more source

Convergence of quasilinear parabolic equations to semilinear equations

open access: yesDiscrete and Continuous Dynamical Systems - B, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bezerra, Flank D. M.   +2 more
openaire   +2 more sources

Numerical Schemes Based on Splines for Two‐Dimensional Singularly Perturbed Elliptic Partial Differential Equations With Mixed Shifts

open access: yesInternational Journal of Differential Equations, Volume 2026, Issue 1, 2026.
In this study, we considered a singular perturbation problem of two‐dimensional, linear elliptic partial differential equations having both positive and negative shifts in both directions of the reaction terms, whose solution exhibits characteristic boundary layers.
Vivek K.   +2 more
wiley   +1 more source

Quantitative Nonlocal‐to‐Local Limits in Multispecies Interaction Systems via Relative Entropy and Modulated Energy

open access: yesJournal of Applied Mathematics, Volume 2026, Issue 1, 2026.
We derive quantitative convergence rates for nonlocal‐to‐local limits in a class of multispecies interaction systems with finite‐range kernels. The nonlocal model consists of coupled aggregation–diffusion equations in which intra‐ and interspecies interactions are mediated by short‐range convolution operators.
S. C. Oukouomi Noutchie, John Venetis
wiley   +1 more source

Monotone Finite-Difference Schemes With Second Order Approximation Based on Regularization Approach for the Dirichlet Boundary Problem of the Gamma Equation

open access: yesIEEE Access, 2020
We investigate the initial boundary value problem for the Gamma equation transformed from the nonlinear Black-Scholes equation for pricing option to a quasilinear parabolic equation of second derivative.
Le Minh Hieu   +2 more
doaj   +1 more source

Remarks on global solutions to the initial-boundary value problem for quasilinear degenerate parabolic equations with a nonlinear source term [PDF]

open access: yesOpuscula Mathematica, 2019
We give an existence theorem of global solution to the initial-boundary value problem for \(u_{t}-\operatorname{div}\{\sigma(|\nabla u|^2)\nabla u\}=f(u)\) under some smallness conditions on the initial data, where \(\sigma (v^2)\) is a positive ...
Mitsuhiro Nakao
doaj   +1 more source

Numerical identification of a coefficient in a parabolic quasilinear equation [PDF]

open access: yes, 1985
summary:In the article the following optimal control problem is studied: to determine a certain coefficient in a quasilinear partial differential equation of parabolic type so that the solution of a boundary value problem for this equation would minimise
Neumann, Jan
core   +1 more source

On the principle of linearized stability for quasilinear evolution equations in time‐weighted spaces

open access: yesMathematische Nachrichten, Volume 298, Issue 12, Page 3939-3959, December 2025.
Abstract Quasilinear (and semilinear) parabolic problems of the form v′=A(v)v+f(v)$v^{\prime }=A(v)v+f(v)$ with strict inclusion dom(f)⊊dom(A)$\mathrm{dom}(f)\subsetneq \mathrm{dom}(A)$ of the domains of the function v↦f(v)$v\mapsto f(v)$ and the quasilinear part v↦A(v)$v\mapsto A(v)$ are considered in the framework of time‐weighted function spaces ...
Bogdan‐Vasile Matioc   +2 more
wiley   +1 more source

Quasilinear generalized parabolic Anderson model [PDF]

open access: yes, 2018
International audienceWe provide in this work a local in time well-posedness result for a quasilinear generalized parabolic Anderson model in dimension two∂tu+Δπ(u)=g(u)ξ.The key idea of our approach is a simple transformation of the equation which ...
Hofmanova, Martina   +4 more
core   +1 more source

On a quasilinear parabolic integrodifferential equation

open access: yesDifferential and Integral Equations, 1995
The author considers the nonlinear Volterra integrodifferential equation \(u_ t - a* \text{div} h(\text{grad} u) = a*g\), where \(x \in \mathbb{R}^ n\), \(t \geq 0\) and where the initial function \(u(0,x) = w(x)\) is given. The kernel \(a\) satisfies \(a \in L^ 1_{\text{loc}} (\mathbb{R}^ +)\) and the parabolic condition \(\text{Re}\widetilde a ...
openaire   +3 more sources

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