Results 31 to 40 of about 58 (55)

Physics‐Informed Machine Learning Framework to Retroactively Estimate Mantle Thermal Convection From Partial Geophysical Observations

open access: yesJournal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 4, August 2026.
Abstract Mantle convection drives the solid Earth, powering plate motions, volcanism, and earthquakes while regulating planetary heat loss. Reconstructing its history is hampered by sparse, noisy observations concentrated near the surface and the present day. Here I develop an inverse physics‐informed neural network framework to estimate mantle thermal
Atsushi Nakao
wiley   +1 more source

A trace–path integral formula over function fields

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract We show that an arithmetic path integral over the ℓ$\ell$‐torsion of a Jacobian J[ℓ]$J[\ell]$ is equal to the trace of the Frobenius action on a representation of the Heisenberg group H(J[ℓ])$H(J[\ell])$, up to an explicitly determined sign.
Yan Yau Cheng
wiley   +1 more source

A Matrix‐Free, Scalable, and Robust Implicit Material Point Method

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.
ABSTRACT An implicit material point method is presented using a new dynamic relaxation solver, allowing for a simple and efficient quasi‐static formulation that may be readily implemented in existing explicit‐dynamic codes. The use of dynamic relaxation and aggregation is shown to produce an extremely robust material point method scheme, with good ...
Sam J. V. Sutcliffe   +5 more
wiley   +1 more source
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A study of a self-adjoint coupled system of three nonlinear ordinary differential inclusions with cyclic anti-periodic boundary conditions

Discussiones Mathematicae Differential Inclusions, Control and Optimization
Summary: In this article, we shall deal with the existence theory for a self-adjoint coupled system of three nonlinear second-order ordinary differential inclusions with cyclic anti-periodic boundary conditions on an arbitrary domain. We consider convex valued as well as non-convex valued right-hand side of the given system and apply the standard fixed-
Ahmad, Bashir   +3 more
openaire   +4 more sources

Existence Results for a Self-adjoint Coupled System of Three Nonlinear Ordinary Differential Equations with Cyclic Boundary Conditions

Qualitative Theory of Dynamical Systems, 2022
Bashir Ahmad   +2 more
exaly  

Characterization of Domains of Self-Adjoint Ordinary Differential Operators II

Results in Mathematics, 2011
Aiping Wang, Jiong Sun, Xiaoling Hao
exaly  

Survey Article: Self-adjoint ordinary differential operators and their spectrum

Rocky Mountain Journal of Mathematics, 2015
Jiong Sun, Anton Zettl
exaly  

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