Results 331 to 340 of about 3,276,797 (361)

Dynamic Mode Decomposition and Its Variants

Annual Review of Fluid Mechanics, 2021
Dynamic mode decomposition (DMD) is a factorization and dimensionality reduction technique for data sequences. In its most common form, it processes high-dimensional sequential measurements, extracts coherent structures, isolates dynamic behavior, and ...
P. Schmid
semanticscholar   +1 more source

Extended Physics-informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition based Deep Learning Framework for Nonlinear Partial Differential Equations

AAAI Spring Symposium: MLPS, 2020
We propose a generalized space-time domain decomposition framework for the physics-informed neural networks (PINNs) to solve nonlinear partial differential equations (PDEs) on arbitrary complex-geometry domains.
Ameya Dilip Jagtap, G. Karniadakis
semanticscholar   +1 more source

Energy decomposition analysis

Catalysis from A to Z, 2020
The energy decomposition analysis (EDA) is a powerful method for a quantitative interpretation of chemical bonds in terms of three major expressions.
Moritz von Hopffgarten, G. Frenking
semanticscholar   +1 more source

Finding Branch-Decompositions and Rank-Decompositions [PDF]

SIAM Journal on Computing, 2007
We present a new algorithm that can output the rank-decomposition of width at most k of a graph if such exists. For that we use an algorithm that, for an input matroid represented over a fixed finite field, outputs its branch-decomposition of width at most k if such exists. This algorithm works also for partitioned matroids.
Hlineny, P, Oum, SI Oum, Sang-il
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From the Sup-Decomposition to Sequential Decompositions

Journal of Mathematical Imaging and Vision, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ronaldo Fumio Hashimoto, Junior Barrera
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A decomposition of continuity [PDF]

Acta Mathematica Hungarica, 1986
This paper introduces the following notions. A subset B of a topological space (X,\({\mathcal T})\) is defined to be an \({\mathcal A}\)-set if \(B=U-W\) where U is open and W is regular open. A function f: (X,\({\mathcal T})\to (Y,{\mathcal U})\) is called \({\mathcal A}\)-continuous if \(f^{-1}(V)\) is an \({\mathcal A}\)- set in X for each open set ...
Jingcheng Tong, Jingcheng Tong
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A Data–Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition

Journal of nonlinear science, 2014
The Koopman operator is a linear but infinite-dimensional operator that governs the evolution of scalar observables defined on the state space of an autonomous dynamical system and is a powerful tool for the analysis and decomposition of nonlinear ...
Matthew O. Williams, I. Kevrekidis, Clarence W. Rowley   +2 more
semanticscholar   +1 more source

Decomposition of snarks

Journal of Graph Theory, 1987
AbstractThere are several methods for constructing snarks (cubic graphs with chromatic index 4). We study the reverse process of splitting a snark into smaller snarks which compose it. We also introduce the notion of a “prime” snark.
Cameron, Peter J., Cheywynd, Amanda G., Watkins, John J.   +2 more
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Regular Decompositions

2008
We introduce the notion of regular decomposition of an ideal and present a first algorithm to compute it. Designed to avoid generic perturbations and eliminations of variables, our algorithm seems to have a good behaviour with respect to the sparsity of the input system.
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Decomposition of algebras

1989
In this paper we deal with the problem of decomposing finite communtative Q-algebras as a direct product of local Q-algebras. We solve this problem by reducing it to the problem of finding a decomposition of finite algebras over finite field. We will show that it is possible to define a lifting process that allows to reconstruct the answer over the ...
Patrizia Gianni, Patrizia Gianni, Victor S. Miller, Barry M. Trager   +3 more
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