Results 21 to 30 of about 187 (87)

Hybrid Coupling With Operator Inference and the Overlapping Schwarz Alternating Method

International Journal for Numerical Methods in Engineering, Volume 127, Issue 17, 15 September 2026.
ABSTRACT This paper presents a hybrid approach for coupling subdomain‐local, nonintrusive Operator Inference (OpInf) reduced order models (ROMs) with each other and with subdomain‐local, high‐fidelity full order models (FOMs) using the overlapping Schwarz alternating method (O‐SAM).
Irina Tezaur, Eric Parish, Anthony Gruber, Ian Moore, Christopher Wentland, Alejandro Mota   +5 more
wiley   +1 more source

Dictionary‐based weak‐form training for noise‐robust series hybrid models with multiplicative unknowns

AIChE Journal, Volume 72, Issue 9, September 2026.
ABSTRACT Hybrid modeling combines first‐principles equations with a data‐driven subcomponent. Training for the data‐driven part is sensitive to measurement noise when training targets are constructed using pointwise time derivatives. Beyond differentiation errors, hybrid models involve solving an inverse problem to estimate the data‐driven term, which ...
Hangjun Cho, Akshay Kudva, Parth Shah, Dongheon Lee, Joseph Sang‐Il Kwon   +4 more
wiley   +1 more source

Coupled Dynamics Between Networks and Fields in Physical Space: A Theoretical Perspective

Annalen der Physik, Volume 538, Issue 9, September 2026.
Networks embedded in physical space often communicate through dynamical fields that both mediate and respond to collective behavior. A unified theoretical perspective is presented for these network‐field systems, linking established mathematical frameworks and revealing how feedback between discrete interactions and continuous spatial processes can ...
Alex Arenas, Oriol Artime, Albert Díaz‐Guilera, Sergio Gómez, Clara Granell   +4 more
wiley   +1 more source

A Semi‐Discrete Lagrangian‐Eulerian Numerical Scheme for Diffusive‐Dispersive Conservation Laws With Discontinuous Coefficient

Numerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.
ABSTRACT In this work, we present an extension of the semi‐discrete Lagrangian‐Eulerian numerical scheme for diffusive‐dispersive conservation law problems, including a jump discontinuous flux function. As in the one‐dimensional scalar hyperbolic case, the no‐flow curves also organize the geometry of the method.
Eduardo Abreu, Wanderson Lambert, Erivaldo Lima   +2 more
wiley   +1 more source

Deep Learning for Protein Modeling: From Single Structure to Bound Complex and Thermodynamic Ensemble, With a Focus on Architectural Design

WIREs Computational Molecular Science, Volume 16, Issue 5, September/October 2026.
Protein deep learning is moving from single structure prediction toward bound complex modeling and conformational ensemble generation. An architectural perspective shows how symmetry, evolutionary information, generative sampling, and energetic grounding shape performance and generalization.
Daniele Angioletti, Matteo Carli, Marco Nobile, Vittorio Limongelli   +3 more
wiley   +1 more source

KPP Dynamics in Predator–Prey Models: A Survey and a Mussel–Algae Case Study

Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.
ABSTRACT We discuss traveling fronts in several coupled reaction–diffusion systems that model predator–prey interactions, as well as other systems that share similar structural features. We review some cases where the traveling fronts exist and are small perturbations of fronts in certain scalar equations of Fisher–KPP or Burgers–FKPP type.
Anna Ghazaryan, Vahagn Manukian
wiley   +1 more source

Numerical Identification of Stationary States and Their Stability in a Model of Quantum Droplets

Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.
ABSTRACT In this work, we are motivated by a recent variant of the nonlinear Schrödinger (NLS) equation describing cold, dilute atomic condensates with quantum fluctuation effects. Our goal is to develop robust numerical methods capable of uncovering diverse stationary solutions in such NLS models.
Sun Lee, Panayotis G. Kevrekidis, Wenrui Hao   +2 more
wiley   +1 more source

Exponential convergence for ultrafast diffusion equations with log‐concave weights

Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract We study the asymptotic behavior of a weighted ultrafast diffusion PDE on the real line, with a log‐concave and log‐lipschitz weight, and prove exponential convergence to equilibrium. This result goes beyond the compact setting studied in Iacobelli [Discrete Contin. Dyn. Syst. 39 (2019), 4929–4943].
Max Fathi, Mikaela Iacobelli
wiley   +1 more source

Elliptic PDE learning is provably data-efficient. [PDF]

Proc Natl Acad Sci U S A, 2023
Boullé N, Halikias D, Townsend A.
europepmc   +1 more source

Dynamical behavior of analytic solutions of the generalized derivative nonlinear Schrödinger equation under stochastic perturbations in fiber communication systems. [PDF]

Sci Rep
Murad MAS, Abdullah AR, Mustafa MA, Hussain E.   +3 more
europepmc   +1 more source