Results 21 to 30 of about 11,094 (111)

A multi-resolution, non-parametric, Bayesian framework for identification of spatially-varying model parameters

, 2008
This paper proposes a hierarchical, multi-resolution framework for the identification of model parameters and their spatially variability from noisy measurements of the response or output.
Ainsworth, Barry, Brigham, Chen, Chopin, Craig, Del Moral, Del Moral, Del Moral, Dorobantu, Dostert, Doucet, E, Emery, Engl, Fadale, Fatemi, Ferreira, Fienen, Gelman, Green, Groetsch, Hegstad, Higdon, Higdon, Higdon, Holloman, Hou, Hughes, Jefferys, Kaipio, Kennedy, Kevrekidis, Kimeldorf, Kitanidis, Koutsourelakis, Lee, Lee, Lewicki, Liu, Liu, Liu, MacEachern, P.S. Koutsourelakis, Robert, Sangali, Schmidt, Simo, Tikhonov, Tikhonov, Tipping, Torquato, Velamur Asokan, Vermaak, Wang, Wang, Wang, Weir, Wynn   +58 more
core   +1 more source

Ergodic Mean Field Games with H\"ormander diffusions [PDF]

, 2017
We prove existence of solutions for a class of systems of subelliptic PDEs arising from Mean Field Game systems with H\"ormander diffusion. These results are motivated by the feedback synthesis Mean Field Game solutions and the Nash equilibria of a large
Dragoni, Federica, Feleqi, Ermal
core   +3 more sources

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

International Journal for Numerical Methods in Fluids, EarlyView.
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, B. Després, M. A. Puscas, C. Fiorini   +3 more
wiley   +1 more source

Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver

International Journal for Numerical Methods in Fluids, EarlyView.
A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
wiley   +1 more source

Interaction of Dirac δ$$ \delta $$‐Waves in the Inviscid Levine and Sleeman Chemotaxis Model

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This article investigates interactions of δ$$ \delta $$‐shock waves in the inviscid Levine and Sleeman chemotaxis model ut−λ(uv)x=0$$ {u}_t-\lambda {(uv)}_x=0 $$, vt−ux=0$$ {v}_t-{u}_x=0 $$. The analysis employs a distributional product and a solution concept that extends the classical solution concept.
Adelino Paiva
wiley   +1 more source

Elucidating the cellular determinants of the end‐systolic pressure‐volume relationship of the heart via computational modelling

The Journal of Physiology, EarlyView.
Abstract figure legend Using a multiscale computational model of left ventricular electromechanics, we investigated how sarcomere dynamics influence the end‐systolic pressure‐volume (ESPV) relationship in ejecting beats compared to isovolumetric beats.
Francesco Regazzoni, Corrado Poggesi, Cecilia Ferrantini   +2 more
wiley   +1 more source

A priori bounds for the generalised parabolic Anderson model

Communications 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, Guilherme de Lima Feltes, Hendrik Weber   +2 more
wiley   +1 more source

Asymptotic Analysis of the Static Bidomain Model for Pulsed Field Cardiac Ablation

Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2510-2531, 15 March 2026.
ABSTRACT Cardiac arrhythmias are caused by faulty electrical signals in the heart, which lead to chaotic wave propagation and impaired cardiac function. This work focuses on a non‐thermal ablation technique based on electroporation (EP), a promising method for treating arrhythmias, called pulsed field ablation (PFA).
Annabelle Collin, Simone Nati Poltri, Clair Poignard   +2 more
wiley   +1 more source

A stabilized cut discontinuous Galerkin framework: I. Elliptic boundary value and interface problems

, 2018
We develop a stabilized cut discontinuous Galerkin framework for the numerical solution of el- liptic boundary value and interface problems on complicated domains.
Gürkan, Ceren, Massing, André
core   +1 more source

Accelerating Conjugate Gradient Solvers for Homogenization Problems With Unitary Neural Operators

International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.
ABSTRACT Rapid and reliable solvers for parametric partial differential equations (PDEs) are needed in many scientific and engineering disciplines. For example, there is a growing demand for composites and architected materials with heterogeneous microstructures.
Julius Herb, Felix Fritzen
wiley   +1 more source