Results 91 to 100 of about 2,483 (203)
Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14244-14265, August 2026.ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti +2 more
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14122-14148, August 2026.ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen +3 more
wiley +1 more source
Continuous adjoint method for calculating sensitivities to geometry changes
The aim of this work is to develop an analytical formulation to calculate the sensitivities to geometric changes using the continuous adjoint method. The primary goal is to obtain closed-form, efficient, and robust expressions that quantify how surface deformation modifies an aerodynamic functional, with particular emphasis on drag force. Starting from
openaire +2 more sources
Vector‐Driven Projection and Backprojection
Medical Physics, Volume 53, Issue 8, August 2026.Abstract Background Projection and backprojection are fundamental operators in tomographic image reconstruction. Existing approaches—namely pixel‐driven (PD), ray‐driven (RD), and distance‐driven (DD)—are subject to well‐known trade‐offs among interpolation artifacts, geometric flexibility, and computational cost. Purpose This study aims to introduce a
Ismail Melik Turker, Isa Yildirim
wiley +1 more source
Quasireversibility for inhomogeneous ill-posed problems in Hilbert spaces
Electronic Journal of Differential Equations, 2010 In a Hilbert space $mathcal{H}$, the inhomogeneous ill-posed abstract Cauchy problem is given by $frac{du}{dt} = Au(t) + h(t)$, $u(0) = chi$, $0 leq t < T$; where $A$ is a positive self-adjoint linear operator acting on $mathcal{H}$, $chi in ...
Beth M. Campbell Hetrick
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Persistent sheaf Laplacian analysis of protein stability and solubility changes upon mutation
Protein Science, Volume 35, Issue 8, August 2026.Abstract Genetic mutations frequently disrupt protein structure, stability, and solubility, acting as primary drivers for a wide spectrum of diseases. Despite the critical importance of these molecular alterations, existing computational models often lack interpretability and fail to integrate essential physicochemical interactions.
Yiming Ren +4 more
wiley +1 more source
Unsteady Continuous Adjoint Method Using Pod For Jet-Based Flow Control
, 2014 An approximation method based on Proper Orthogonal Decomposition (POD) is used for the storage of the primal flow fields, needed during the solution of the unsteady adjoint equations in aerodynamic optimization problems. Here, without loss in generality, the presentation is restricted to flow control optimization; its extension to aerodynamic shape ...
Vezyris, C., +3 more
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Gradient‐Free Online Learning of Subgrid‐Scale Dynamics With Neural Emulators
Journal of Advances in Modeling Earth Systems, Volume 18, Issue 8, August 2026.Abstract In this paper, we propose a generic algorithm to train machine learning‐based subgrid parametrizations online, that is, with a posteriori loss functions, but for non‐differentiable numerical solvers. The proposed approach leverages a neural emulator to approximate the reduced state‐space solver, which is then used to allow gradient propagation
H. Frezat +3 more
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The ASTE‐BGC Data‐Assimilative Regional Ocean Biogeochemical Model
Journal of Advances in Modeling Earth Systems, Volume 18, Issue 8, August 2026.Abstract We present a data‐assimilative regional ocean biogeochemical model, ASTE‐BGC, which simulates the physical and biogeochemical state of the North Atlantic Ocean from 2002 to 2017. Model physics are provided by a physical state estimate (ASTE), which assimilates O(109) in situ and satellite‐based observations over the model domain and time ...
L. A. Moseley +5 more
wiley +1 more source
Electronic Journal of Differential Equations, 2016 In this article we consider the Robin-Cauchy problem for multidimensional elliptic equations in a cylindrical domain. The method of spectral expansion in eigenfunctions of the Robin-Cauchy problem for equations with deviating argument establishes a ...
Berikbol T. Torebek
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