Results 41 to 50 of about 16,427 (118)

Asymptotic Derivation and Numerical Investigation of Time-Dependent Simplified Pn Equations

, 2012
The steady-state simplified Pn (SPn) approximations to the linear Boltzmann equation have been proven to be asymptotically higher-order corrections to the diffusion equation in certain physical systems.
Frank, M., Larsen, E. W., Olbrant, E., Seibold, B.   +3 more
core   +1 more source

Duo‐AttnOPNets: Advancing Global Operational Forecasting for Atmospheric Carbon Monoxide With AI‐Empowered 4D‐Var

Journal of Advances in Modeling Earth Systems, Volume 18, Issue 2, February 2026.
Abstract The accuracy of global forecasting of atmospheric composition is essential for protecting public health and advancing climate research. Carbon monoxide (CO), a key pollutant with indirect greenhouse effects, requires timely and accurate prediction.
Judongyang Zhou, Fangxin Fang, Christopher C. Pain, Linfeng Li, Jie Zheng, Yanghua Wang, Ionel Michael Navon, Jiang Zhu   +7 more
wiley   +1 more source

Strongly hyperbolic second order Einstein's evolution equations

, 2004
BSSN-type evolution equations are discussed. The name refers to the Baumgarte, Shapiro, Shibata, and Nakamura version of the Einstein evolution equations, without introducing the conformal-traceless decomposition but keeping the three connection ...
A. Arbona, C. Bona, C. Bona, C. Bona, C. Bona, G. Calabrese, G. Calabrese, Gabriel Nagy, H. Kreiss, J. Kohn, L. Hörmander, L. Hörmander, L. Lehner, L.E. Kidder, M. Shibata, O. Reula, O. Sarbach, Omar E. Ortiz, Oscar A. Reula, T.W. Baumgarte   +19 more
core   +1 more source

Boundary spike‐layer solutions of the multi‐dimensional singular Keller–Segel system: Existence, profiles and stability

Proceedings of the London Mathematical Society, Volume 132, Issue 2, February 2026.
Abstract This paper investigates boundary‐layer solutions of the singular Keller–Segel system (proposed in Keller and Segel [J. Theor. Biol. 30 (1971), 377–380]) in multi‐dimensional domains, which describes cells' chemotactic movement toward the concentration gradient of the nutrient they consume, subject to a zero‐flux boundary condition for the cell
Jose A. Carrillo, Jingyu Li, Zhi‐An Wang, Wen Yang   +3 more
wiley   +1 more source

Inverse Design in Nanophotonics via Representation Learning

Advanced Optical Materials, Volume 14, Issue 1, 9 January 2026.
This review frames machine learning (ML) in nanophotonics through a classification based on where ML is applied. We categorize methods as either output‐side, which create differentiable surrogates for solving Maxwell's partial differential equations (PDEs), or input‐side, which learn compact representations of device geometry.
Reza Marzban, Ali Adibi, Raphaël Pestourie   +2 more
wiley   +1 more source

Complex singularities and PDEs

, 2015
In this paper we give a review on the computational methods used to characterize the complex singularities developed by some relevant PDEs. We begin by reviewing the singularity tracking method based on the analysis of the Fourier spectrum.
Caflisch, R. E., Gargano, F., Sammartino, M., Sciacca, V.   +3 more
core  

Corrigendum to “Fredholm operators, semigroups and the asymptotic and boundary behavior of solutions of PDEs” [J. Differential Equations 193 (2003) 460–480]

Journal of Differential Equations, 2007
openaire   +1 more source

Understanding the impacts of extreme weather on biological control through traveling wave analysis of a prey-predator model. [PDF]

Sci Rep
Aktar MS, Yue Y, Bani-Yaghoub M, Ou C, Ali MA.   +4 more
europepmc   +1 more source

A renormalization group analysis of bubble breakup. [PDF]

Sci Rep
Okumura K.
europepmc   +1 more source

Soliton solutions with bifurcation, sensitivity, chaotic and stability analysis of the (2+1)-dimensional Zoomeron equation using generalized Riccati equation mapping method. [PDF]

Sci Rep
Zainab A, Saad KM, Abbas M, Hamanah WM, Yousaf MZ, Birhanu A.   +5 more
europepmc   +1 more source