Results 121 to 130 of about 130,230 (316)

Convergence properties of dynamic mode decomposition for analytic interval maps

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 179-206, February 2026.
Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji   +3 more
wiley   +1 more source

Dimer models and conformal structures

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala   +3 more
wiley   +1 more source

Locally Adaptive Non‐Hydrostatic Shallow Water Extension for Moving Bottom‐Generated Waves

open access: yesInternational Journal for Numerical Methods in Fluids, Volume 98, Issue 2, Page 159-173, February 2026.
This study proposes a locally adaptive non‐hydrostatic model, which is based on the non‐hydrostatic extension of the shallow water equations (SWE) with a quadratic pressure relation, and applies it to wave propagation generated by a moving bottom. To obtain the locally adaptive model, we investigate several potential adaptivity criteria based on the ...
Kemal Firdaus, Jörn Behrens
wiley   +1 more source

Mesh, Hydrodynamic Boundary, and Uncertainty Analysis of the 2D‐SWEs: Taking Numerical Simulation of River Networks as an Example

open access: yesWater Resources Research, Volume 62, Issue 2, February 2026.
Abstract Targeting the issues of insufficient predictive ability and inefficient computation in two‐dimensional shallow water equations (2D‐SWEs), this study deeply couples the mesh and hydrodynamic boundary, constructing multiple 2D hydrodynamic models (run 2,640 times).
Hong Chen   +4 more
wiley   +1 more source

A New Inclusion on Inequalities of the Hermite–Hadamard–Mercer Type for Three-Times Differentiable Functions

open access: yesMathematics
The goal of this study is to develop numerous Hermite–Hadamard–Mercer (H–H–M)-type inequalities involving various fractional integral operators, including classical, Riemann–Liouville (R.L), k-Riemann–Liouville (k-R.L), and their generalized fractional ...
Talib Hussain   +2 more
doaj   +1 more source

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