Results 91 to 100 of about 1,373 (161)

Disentangling Spatial‐Temporal Features for Controllable Factors Learning in Precipitation Nowcasting

Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 4, August 2026.
Abstract Precipitation nowcasting refers to the high‐resolution forecasting of rainfall and hydrometeors within 0–6 hr according to the official definition of the World Meteorological Organization, which has relied on numerical models for decades. Recently, artificial intelligence (AI) has shown promise in addressing precipitation nowcasting.
Nan Yang, Chong Wang, Ruikai Yang, Xiaofeng Li   +3 more
wiley   +1 more source

A new hybrid block collocation method for solving elliptic PDEs. [PDF]

Sci Rep
Rufai MA, Filippone S, Ramos H, Modanese G.   +3 more
europepmc   +1 more source

Understanding the Robustness of Reparameterized Full‐Waveform Inversion Through Loss Landscape Perspective: Application to VSP Data

Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 4, August 2026.
Abstract Full waveform inversion (FWI) reconstructs subsurface models by minimizing the mismatch between observed and simulated seismic data. However, the strong nonlinearity of the inversion problem makes gradient‐based optimization highly sensitive to inaccurate initial models and incomplete observational data.
Ning Wang, Ying Shi, Bingchuan Geng, Xuan Ke   +3 more
wiley   +1 more source

Homogenised balance equations for nematic liquid crystal flow in elastic porous media. [PDF]

Z Angew Math Phys
Alwady M, Mottram NJ, Penta R.
europepmc   +1 more source

A Unified Framework From Boltzmann Transport to Proton Treatment Planning

Studies in Applied Mathematics, Volume 157, Issue 2, August 2026.
ABSTRACT We develop a unified stochastic–deterministic framework for proton transport in radiotherapy. The deterministic formulation is based on a Boltzmann–Fokker–Planck (BFP) equation with continuous slowing‐down, angular diffusion, and scattering terms, posed in a kinetic variational setting.
Andreas E. Kyprianou, Aaron Pim, Tristan Pryer   +2 more
wiley   +1 more source

Physics-informed neural network with weighted loss and hard constraints for hyperbolic conservation laws. [PDF]

Sci Rep
Ghoreishi MS, Naderan H.
europepmc   +1 more source

A Direct Approach for Detection of Bottom Topography in Shallow Water

Studies in Applied Mathematics, Volume 157, Issue 2, August 2026.
ABSTRACT We propose a fast, stable, and direct analytic method to detect underwater channel topography from surface wave measurements, based on one‐dimensional shallow water equations. The technique requires knowledge of the free surface and its first two time derivatives at a single instant t★$t^{\star }$ above the fixed, bounded open segment of the ...
Noureddine Lamsahel, Carole Rosier
wiley   +1 more source

QEKI: A Quantum-Classical Framework for Efficient Bayesian Inversion of PDEs. [PDF]

Entropy (Basel)
Yong J, Tang S.
europepmc   +1 more source

Deep Energy Method for Large Deformation Analysis of Isotropic and Inhomogeneous Hyperelastic Ellipsoidal Pressurized Structures

International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.
ABSTRACT The accurate prediction of displacement and stress fields in pressure vessels is essential for the safe and reliable design of these structures, particularly when dealing with nonlinear behavior such as that of hyperelastic functionally graded materials (FGMs).
Nasser Firouzi, Shaofan Li, Timon Rabczuk   +2 more
wiley   +1 more source

Implementing physics-informed neural networks with deep learning for differential equations. [PDF]

Front Artif Intell
Emmert-Streib F, Tripathi S, Farea A, Holzinger A.   +3 more
europepmc   +1 more source