Results 101 to 110 of about 86,380,618 (176)

A Unified Block‐Modal Framework for Inverse Source Problems in Heat and Mass Transfer

International Journal for Numerical Methods in Engineering, Volume 127, Issue 19, 15 October 2026.
ABSTRACT This work presents a unified block–modal framework for inverse source identification in linear diffusive problems arising in heat and mass transfer. Starting from a general parabolic model with mixed boundary operators, the Classical Integral Transform Technique is employed to project the dynamics onto an orthonormal eigenbasis, yielding a ...
André J. P. de Oliveira, Diego C. Knupp, Lucas L. S. Costa, Luiz A. S. Abreu, Mousa J. Huntul, Antônio J. Silva Neto   +5 more
wiley   +1 more source

Volumetric Ablation of Phenolic Resin in Extreme Environments: A Variable-Property Physics-Informed Neural Network Framework. [PDF]

Polymers (Basel)
Du W, Ma T, Song H.
europepmc   +1 more source

Data-driven, ML-assisted approaches to problem well-posedness. [PDF]

PNAS Nexus
Bertalan T, Kevrekidis GA, Koronaki ED, Mishra S, Rebrova E, Kevrekidis IG.   +5 more
europepmc   +1 more source

Bayesian bilevel operator learning with low-rank adaptation for efficient uncertainty quantification of PDE inverse problems. [PDF]

Nat Commun
Zhang RZ, Miles CE, Xie X, Lowengrub JS.
europepmc   +1 more source

Fast automated adjoints for spectral PDE solvers. [PDF]

Proc Natl Acad Sci U S A
Skene CS, Burns KJ.
europepmc   +1 more source

The finite element neural network method to simulate two dimensional partial differential equations and perform parameter identification. [PDF]

Sci Rep
Abda M, Berthet L, Hamedi M, Hibatullah D, Piollet E, Blake C, Blais B, Gosselin FP.   +7 more
europepmc   +1 more source

An Hilbert space approach for a class of arbitrage free implied volatilities models [PDF]

We present an Hilbert space formulation for a set of implied volatility models introduced in \cite{BraceGoldys01} in which the authors studied conditions for a family of European call options, varying the maturing time and the strike price $T$ an $K$, to
Brace, Alan, Fabbri, Giorgio, Goldys, Benjamin   +2 more
core  

Going with the flow to solve for symmetry-driven PDE dynamics with physics-informed neural networks. [PDF]

Nat Commun
Kavousanakis ME, Fabiani G, Georgiou AS, Siettos C, Kevrekidis PG, Kevrekidis IG.   +5 more
europepmc   +1 more source

Smoothness and stability in the Alt-Phillips problem. [PDF]

Math Ann
Carducci M, Tortone G.
europepmc   +1 more source

An effective and accurate semi-implicit time integration scheme for dynamics in nearly- and fully-incompressible hyperelastic solids. [PDF]

J Comput Phys
Terrell EM, Davey M, Wells DR, Griffith BE.   +3 more
europepmc   +1 more source