Results 81 to 90 of about 53,887 (179)

Efficient Deconvolution in Populational Inverse Problems

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 9, 15 May 2026.
ABSTRACT This work is focused on the inversion task of inferring the distribution over parameters of interest, leading to multiple sets of observations. The potential to solve such distributional inversion problems is driven by the increasing availability of data, but a major roadblock is blind deconvolution, arising when the observational noise ...
Arnaud Vadeboncoeur   +2 more
wiley   +1 more source

Transient modeling of extraction columns: Parameter estimation, uncertainty analysis, and operation optimization

open access: yesAIChE Journal, Volume 72, Issue 5, May 2026.
Abstract Despite extensive modeling efforts in extraction research, transient column models are rarely applied in industry due to concerns regarding parameter identifiability and model reliability. To address this, we analyzed uncertainty propagation from estimated parameters in a previously introduced column model and assessed identifiability via ill ...
Andreas Palmtag   +2 more
wiley   +1 more source

A priori bounds for the generalised parabolic Anderson model

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1315-1394, May 2026.
Abstract We show a priori bounds for solutions to (∂t−Δ)u=σ(u)ξ$(\partial _t - \Delta) u = \sigma (u) \xi$ in finite volume in the framework of Hairer's Regularity Structures [Invent Math 198:269–504, 2014]. We assume σ∈Cb2(R)$\sigma \in C_b^2 (\mathbb {R})$ and that ξ$\xi$ is of negative Hölder regularity of order −1−κ$- 1 - \kappa$ where κ<κ¯$\kappa <
Ajay Chandra   +2 more
wiley   +1 more source

Modeling of Root Water Uptake Dynamics and Solute Movement in Agricultural Fields Using Crank–Nicolson Finite Difference Method

open access: yesEngineering Reports, Volume 8, Issue 5, May 2026.
This study successfully developed and validated an open‐source; Python‐based numerical framework for simulating the coupled dynamics of root water uptake and solute transport in variably saturated soils. The model uniquely integrates a crop‐specific exponential RWU function within a stable Crank–Nicolson finite difference scheme. ABSTRACT Understanding
Wubale Demis Alamirew   +4 more
wiley   +1 more source

Impact of Uncertain Parameters on Navier–Stokes Equations With Heat Transfer via Polynomial Chaos Expansion

open access: yesInternational Journal for Numerical Methods in Fluids, Volume 98, Issue 5, Page 557-577, May 2026.
This study investigates the impact of uncertain parameters on Navier–Stokes equations coupled with heat transfer using the Intrusive Polynomial Chaos Method (IPCM). Sensitivity equations are formulated for key input parameters, such as viscosity and thermal diffusivity, and solved numerically using the Finite Element‐Volume method.
N. Nouaime   +3 more
wiley   +1 more source

Direct Numerical Simulation of Magnetohydrodynamic Slip‐Flow Past a Stretching Surface Using Physics‐Informed Neural Network

open access: yesHeat Transfer, Volume 55, Issue 3, Page 1674-1682, May 2026.
ABSTRACT Traditional numerical methods, such as finite difference methods (FDM), finite element methods (FEM), and spectral methods, often face meshing challenges and high computational cost for solving nonlinear coupled differential equations. Machine learning techniques, specifically Physics‐informed machine learning, address these obstacles by ...
Ahmad, Feroz Soomro, Husna Zafar
wiley   +1 more source

Unraveling the Mystery of Melt Migration in Migmatites: From Channeling Instability to Pattern Formation

open access: yesJournal of Geophysical Research: Solid Earth, Volume 131, Issue 5, May 2026.
Abstract Melt migration in partially molten rocks is commonly described by porous flow models controlled by the hydro‐mechanical compaction length, which effectively explains melt extraction at mid‐ocean ridges. However, this framework cannot account for the paradoxical accumulation of small melt fractions into rhythmic leucosome–melanosome bands in ...
Qingpei Sun   +3 more
wiley   +1 more source

Fast automated adjoints for spectral PDE solvers. [PDF]

open access: yesProc Natl Acad Sci U S A
Skene CS, Burns KJ.
europepmc   +1 more source

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