Results 61 to 70 of about 8,291 (138)
International Journal for Numerical Methods in Biomedical Engineering, Volume 42, Issue 2, February 2026.This work presents an innovative approach to modelling 1D fluid dynamics in complex networks using physics‐informed neural networks as surrogate models. By integrating physics‐based constraints with data‐driven learning, we develop an efficient and generalisable framework for uncertainty quantification and parameter estimation in real‐world ...
William Ryan +4 more
wiley +1 more source
Sharp commutator estimates of all order for Coulomb and Riesz modulated energies
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 207-292, February 2026.Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley +1 more source
Dimer models and conformal structures
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
wiley +1 more source
Model‐Free Data‐Driven Computational Analysis for Soil Consolidation Problems
International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 2, Page 1166-1175, 10 February 2026.ABSTRACT Soils are inherently uncertain natural materials. In geotechnical engineering, soil properties are fundamentally characterised by testing small samples. The results will then be utilised to determine appropriate geomaterial constitutive models and associated parameters for implementation in conventional computational procedures such as finite ...
Wuzhou Zhai +3 more
wiley +1 more source
Neural Operators for Continuous Bias Correction of Water Level Forecast Guidance
Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 1, February 2026.Abstract The National Oceanic and Atmospheric Administration's (NOAA) Global Two‐Dimensional Surge and Tide Operational Forecast System (STOFS‐2D‐Global) provides global operational tidal, subtidal, and total water level forecast guidance with a 7.5‐day horizon.
Atieh Alipour +10 more
wiley +1 more source
Modal Analysis of Water Distribution Systems With the Elastic Water Column Model
Water Resources Research, Volume 62, Issue 2, February 2026.Abstract This paper presents a modal and participation factor (PF) analysis of water distribution systems (WDSs) using the elastic water column model (EWCM). Modal analysis, widely used in other engineering fields, is adapted here to characterize the dynamic behavior of WDSs under transient conditions. By linearizing the EWCM around an operating point,
Morteza Imani +3 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. +3 more
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International Journal for Numerical Methods in Engineering, Volume 127, Issue 1, 15 January 2026.ABSTRACT The multiresolution finite wavelet domain method has been meticulously studied in numerous wave propagation simulations, showing excellent convergence properties and very fast computing times. The multiresolution procedure always starts with the coarse solution, and then finer solutions can be superimposed on the coarse solution until ...
Dimitris Dimitriou +2 more
wiley +1 more source
A Second-Order Network Structure Based on Gradient-Enhanced Physics-Informed Neural Networks for Solving Parabolic Partial Differential Equations. [PDF]
Entropy (Basel), 2023 Sun K, Feng X.
europepmc +1 more source
International Journal for Numerical Methods in Engineering, Volume 127, Issue 1, 15 January 2026.ABSTRACT Steering a system towards a desired target in a very short amount of time is a challenging task from a computational standpoint. Indeed, the intrinsically iterative nature of optimal control problems requires multiple simulations of the state of the physical system to be controlled. Moreover, the control action needs to be updated whenever the
Matteo Tomasetto +2 more
wiley +1 more source