Results 221 to 230 of about 2,222 (257)

Analytical and numerical properties of an extended angiogenesis PDEs model. [PDF]

J Math Biol
De Luca P, Marcellino L.
europepmc   +1 more source

Efficient Tensor Completion Algorithms for Highly Oscillatory Operators

Numerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.
ABSTRACT We address the problem of recovering highly oscillatory operators, represented as n×n$$ n\times n $$ matrices with a fixed set of observed entries. Given that these matrices can be well compressed by butterfly matrix decomposition of L=𝒪(logn) levels requiring only O(nlogn)$$ O\left(n\log n\right) $$ degrees of freedom, we propose a novel ...
Navjot Singh, Edgar Solomonik, Xiaoye Sherry Li, Yang Liu   +3 more
wiley   +1 more source

Temporal neural operator for modeling time-dependent physical phenomena. [PDF]

Sci Rep
Diab W, Al Kobaisi M.
europepmc   +1 more source

Modelling Future Evolution of the Antarctic Ice Sheet With Explainable Machine Learning

Journal of the Royal Society of New Zealand, Volume 56, Issue 4, August 2026.
The accelerating effects of climate change, particularly rising sea levels resulting from melting land ice, require accurate predictions of ice sheet dynamics. Traditional numerical models, such as the Parallel Ice Sheet Model (PISM), are widely used; however, they rely on simplifying assumptions and are computationally intensive, limiting their ...
Paula Maddigan, Bach Hoai Nguyen, Peter Yu Feng Siew, Bing Xue, Nicholas Golledge, Mengjie Zhang   +5 more
wiley   +1 more source

β-Fractional [Formula: see text]-dimensional generalized KP model: nonlinear dynamical behaviors, analytical wave structures, bifurcation, and sensitivity analysis. [PDF]

Sci Rep
Demirbilek U, Danladi A, Akbulut A, Boulaaras S, Ahmed KK.   +4 more
europepmc   +1 more source

Synergistic Engineering of Nanostructures via Anodic Aluminum Oxide Templates and Atomic Layer Deposition: Design Principles, Mechanisms, and Applications

Small Structures, Volume 7, Issue 8, August 2026.
Anodic aluminum oxide (AAO) templates combined with atomic layer deposition (ALD) constitute a synergistic platform for engineering functional nanostructures within highly ordered, high‐aspect‐ratio porous architectures. By linking precursor transport modeling, surface chemistry control, and tailored ALD strategies, this review establishes a unified ...
Hyeon Joon Choi, Neul Ha, Jisu Jung, Ryeowon Kim, S. Joon Kwon, Sunghak Park, Wooseok Yang, Hyunjung Shin   +7 more
wiley   +1 more source

Novel solitons in the (2+1)-dimensional Heisenberg spin chain via generalized conformable derivatives. [PDF]

Sci Rep
Alam BE, Morales-Luna G, Fernandez-Anaya G.   +2 more
europepmc   +1 more source

Analytical evaluations using neural network-based method for wave solutions of combined Kairat-II-X differential equation in fluid mechanics. [PDF]

Sci Rep
Zhou P, Manafian J, Lakestani M, Ilhan OA, Bahador NJ, Fattah AA, Mahmoud KH, Nuray R, Nagiyeva N.   +8 more
europepmc   +1 more source

Nonlinear periodic orbit solutions and their bifurcation structure at the origin of soliton hopping in coupled microresonators. [PDF]

Commun Phys
Deshmukh S, Tusnin A, Tikan A, Kippenberg TJ, Schneider TM.   +4 more
europepmc   +1 more source

Physics-informed neural networks with hybrid Kolmogorov-Arnold network and augmented Lagrangian function for solving partial differential equations. [PDF]

Sci Rep
Zhang Z, Wang Q, Zhang Y, Shen T, Shen T, Zhang W.   +5 more
europepmc   +1 more source