Results 221 to 230 of about 7,186 (267)

Evaluating LLMs on Kazakhstan's mathematics exam for university admission. [PDF]

Front Artif Intell
Kadyrov S, Abdrasilov B, Sabyrov A, Baizhanov N, Makhmutova A, Kyllonen PC.   +5 more
europepmc   +1 more source

Self‐Similar Blowup for the Cubic Schrödinger Equation

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1831-1918, August 2026.
ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley   +1 more source

Implicit quiescent soliton perturbation in optical metamaterials with complex Ginzburg-Landau equation having nonlinear chromatic dispersion and Kudryashov's forms of self-phase modulation structures by lie symmetry. [PDF]

MethodsX
Adem AR, Arnous AH, Triki H, González-Gaxiola O, Calucag LS, Biswas A.   +5 more
europepmc   +1 more source

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Convergence of the Immersed Interface Method in Linear Elasticity. [PDF]

Mathematica (N Y)
Asghar S, Peng Q, Javierre E, Vermolen F.   +3 more
europepmc   +1 more source

An Efficient Quasi‐Static Condensation‐Based Framework for Seismic Analysis of Multi‐Supported Secondary Structures

Earthquake Engineering &Structural Dynamics, Volume 55, Issue 10, Page 2466-2485, August 2026.
ABSTRACT Multi‐supported non‐structural components (NSCs) are prone to seismic damage, yet their response prediction remains challenging when support motions are spatially incoherent. This study proposes an enhanced quasi‐static condensation (EQSC) method for linear, lightweight, dynamically detuned multi‐supported NSCs under the neglect of primary ...
Duozhi Wang, Fengze Li, Xudong Zhi, Nawawi Chouw, Rong Zhang, Feng Fan   +5 more
wiley   +1 more source

Maximum likelihood estimation of log-affine models using detailed-balanced reaction networks. [PDF]

J Math Biol
Henriksson O, Améndola C, Rodriguez JI, Yu PY.   +3 more
europepmc   +1 more source

Nonstationary Spatial Correlation of Earthquake Ground Motions in California

Earthquake Spectra, Volume 42, Issue 3, August 2026.
Assessing seismic risk to spatially distributed infrastructure systems requires realistic representations of spatially correlated ground motions. Existing models for the spatial correlations of ground motions rely on strong second‐order stationarity assumptions, under which the correlation structure is assumed to be invariant across space, potentially ...
Pengfei Wang, Busra Bocekli, Junhui Yang, Scott J. Brandenberg, Jonathan P. Stewart   +4 more
wiley   +1 more source

A Survey of Lattice-Based Physical-Layer Security for Wireless Systems with <i>p</i>-Modular Lattice Constructions. [PDF]

Entropy (Basel)
Khodaiemehr H, Bagheri K, Mohajer A, Feng C, Panario D, Leung VCM.   +5 more
europepmc   +1 more source