Found 427 Documents (Results 1–100)
A reduced-dimension method for unknown Crank-Nicolson finite element solution coefficient vectors of elastic wave equation with singular source term. (English) Zbl 07920121
An augmented subspace based adaptive proper orthogonal decomposition method for time dependent partial differential equations. (English) Zbl 07899001
Real-time computing for a parameterized feedback control problem of Boussinesq equations by POD and deep learning. (English) Zbl 07895486
Dynamics-augmented cluster-based network model. (English) Zbl 07891921
MSC:
76-XX
Learning physics-based reduced-order models from data using nonlinear manifolds. (English) Zbl 07861836
MSC:
37M21
A natural boundary element reduced-dimension model for uniform high-voltage transmission line problem in an unbounded outer domain. (English) Zbl 07841113
The global existence of strong solutions for a non-isothermal ideal gas system. (English) Zbl 07815374
Large-eddy simulation-based reconstruction of turbulence in a neutral boundary layer using spectral-tensor regularization. (English) Zbl 07814430
Phase-amplitude coordinate-based neural networks for inferring oscillatory dynamics. (English) Zbl 1533.93083
Data-driven inference of low order representations of observable dynamics for an airfoil model. (English) Zbl 1537.37107
A numerical comparison of simplified Galerkin and machine learning reduced order models for vaginal deformations. (English) Zbl 07801660
Explicit synchronous partitioned scheme for coupled reduced order models based on composite reduced bases. (English) Zbl 1536.65140
A reduced Galerkin finite element formulation based on proper orthogonal decomposition for the generalized KDV-RLW-Rosenau equation. (English) Zbl 1532.65085
A Bayesian inference approach for parametric identification through optimal control method. (English) Zbl 1533.74034
An efficient data-driven multiscale stochastic reduced order modeling framework for complex systems. (English) Zbl 07748041
Adaptive POD-DEIM correction for Turing pattern approximation in reaction-diffusion PDE systems. (English) Zbl 07745017
Analysis of an innovative sampling strategy based on \(k\)-means clustering algorithm for POD and POD-DEIM reduced order models of a 2-D reaction-diffusion system. (English) Zbl 07734811
Unsteady vortex shedding dynamics behind a circular cylinder in very shallow free-surface flows. (English) Zbl 1521.76112
Uniform bounds with difference quotients for proper orthogonal decomposition reduced order models of the Burgers equation. (English) Zbl 07698917
Compression of tokamak boundary plasma simulation data using a maximum volume algorithm for matrix skeleton decomposition. (English) Zbl 07679192
The stability analysis and nonlinear vibration control of shaft system for hydraulic generating set under multi-source excitation considering effects of dynamic and static eccentricities. (English) Zbl 1517.74048
Model reduction of convection-dominated partial differential equations via optimization-based implicit feature tracking. (English) Zbl 07625408
Predicting solar wind streams from the inner-heliosphere to Earth via shifted operator inference. (English) Zbl 07625381
Conditional Gaussian nonlinear system: a fast preconditioner and a cheap surrogate model for complex nonlinear systems. (English) Zbl 1540.76162
Shock trace prediction by reduced models for a viscous stochastic Burgers equation. (English) Zbl 07871095
Data-driven identification of dynamical models using adaptive parameter sets. (English) Zbl 07870655
Data-driven identification of the spatiotemporal structure of turbulent flows by streaming dynamic mode decomposition. (English) Zbl 1535.76057
MSC:
76F65
A sparse optimal closure for a reduced-order model of wall-bounded turbulence. (English) Zbl 1531.76049
Verifiability of the data-driven variational multiscale reduced order model. (English) Zbl 1503.65234
Balanced truncation model reduction for lifted nonlinear systems. (English) Zbl 1504.93045
Beattie, Christopher (ed.) et al., Realization and model reduction of dynamical systems. A festschrift in honor of the 70th birthday of Thanos Antoulas. Cham: Springer. 157-174 (2022).
Error analysis of a residual-based stabilization-motivated POD-ROM for incompressible flows. (English) Zbl 1507.76037
MSC:
76D05
Full and reduced order model consistency of the nonlinearity discretization in incompressible flows. (English) Zbl 1507.76039
A POD-based ROM strategy for the prediction in time of advection-dominated problems. (English) Zbl 07605620
Dynamical and chaotic behaviors of natural convection flow in semi-annular cylindrical domains using energy-conserving low-order spectral models. (English) Zbl 1510.76052
MSC:
76E06
A POD reduced order method applied to an instability problem of Rayleigh-Bénard convection. (English) Zbl 1494.76066
Reduced basis finite element methods for the Korteweg-de Vries-Burgers equation. (English) Zbl 07524476
The reduced-order method of continuous space-time finite element scheme for the non-stationary incompressible flows. (English) Zbl 07518115
A ROM-accelerated parallel-in-time preconditioner for solving all-at-once systems in unsteady convection-diffusion PDEs. (English) Zbl 1510.65199
A reduced-order extrapolated finite difference iterative scheme for uniform transmission line equation. (English) Zbl 1484.65178
A global eigenvalue reassignment method for the stabilization of nonlinear reduced-order models. (English) Zbl 07863757
An efficient proper orthogonal decomposition based reduced-order model for compressible flows. (English) Zbl 07510072
A cure for instabilities due to advection-dominance in POD solution to advection-diffusion-reaction equations. (English) Zbl 07508508
A sliding mode estimation method for fluid flow fields using a differential inclusions-based analysis. (English) Zbl 1478.93092
A highly efficient reduced-order extrapolating model for the 2D viscoelastic wave equation. (English) Zbl 1488.65390
On optimal pointwise in time error bounds and difference quotients for the proper orthogonal decomposition. (English) Zbl 1493.65154
Reviewer: Bülent Karasözen (Ankara)
Data-driven inference of high-accuracy isostable-based dynamical models in response to external inputs. (English) Zbl 1475.37096
MSC:
37M99
Coherent structure identification in turbulent channel flow using latent Dirichlet allocation. (English) Zbl 1495.76056
A multifidelity ensemble Kalman filter with reduced order control variates. (English) Zbl 1467.62153
From the POD-Galerkin method to sparse manifold models. (English) Zbl 1471.76057
Benner, Peter (ed.) et al., Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 279-319 (2021).
Low-order models for predicting radiative transfer effects on Rayleigh-Bénard convection in a cubic cell at different Rayleigh numbers. (English) Zbl 1469.76118
Delay-coordinate maps, coherence, and approximate spectra of evolution operators. (English) Zbl 1460.37077
A hybrid stabilization approach for reduced-order models of compressible flows with shock-vortex interaction. (English) Zbl 07843263
A reduced-order extrapolating space-time continuous finite element method for the 2D Sobolev equation. (English) Zbl 07777656
Nonintrusive proper generalised decomposition for parametrised incompressible flow problems in OpenFOAM. (English) Zbl 07678493
Operator-theoretic framework for forecasting nonlinear time series with kernel analog techniques. (English) Zbl 1496.37085
MSC:
37M10
Data-driven correction reduced order models for the quasi-geostrophic equations: a numerical investigation. (English) Zbl 1483.76047
Reduced basis model order reduction for Navier-Stokes equations in domains with walls of varying curvature. (English) Zbl 1482.76089
Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms. (English) Zbl 1506.93015
Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders. (English) Zbl 1454.65184
Phase-synchronization properties of laminar cylinder wake for periodic external forcings. (English) Zbl 1460.76290
A reduced-order extrapolated Crank-Nicolson collocation spectral method based on proper orthogonal decomposition for the two-dimensional viscoelastic wave equations. (English) Zbl 1457.65146
Reviewer: Murli Gupta (Washington, D. C.)
Certified reduced basis VMS-Smagorinsky model for natural convection flow in a cavity with variable height. (English) Zbl 1447.65067
Numerical analysis of a projection-based stabilized POD-ROM for incompressible flows. (English) Zbl 1450.65129
Reviewer: Dana Černá (Liberec)
Reduced-order modelling of radiative transfer effects on Rayleigh-Bénard convection in a cubic cell. (English) Zbl 1460.76727
ANOVA Gaussian process modeling for high-dimensional stochastic computational models. (English) Zbl 1437.62286
An optimized FD extrapolated scheme based on POD for the 2D integro-differential equation of parabolic type. (English) Zbl 1454.65132
Reviewer: Bülent Karasözen (Ankara)
Precessing cube: resonant excitation of modes and triadic resonance. (English) Zbl 1460.76904
MSC:
76U05
Efficient frequency response computation for low-order modelling of spatially distributed systems. (English) Zbl 1440.93154
A data-driven phase and isostable reduced modeling framework for oscillatory dynamical systems. (English) Zbl 1433.37077
A reduced-order extrapolation technique for solution coefficient vectors in the mixed finite element method for the 2D nonlinear Rosenau equation. (English) Zbl 1434.65192
Nonlinear dynamics in mechanics and engineering: 40 years of developments and Ali H. Nayfeh’s legacy. (English) Zbl 1430.70002
An adaptive way of choosing significant snapshots for proper orthogonal decomposition. (English) Zbl 1425.74471
Fehr, Jörg (ed.) et al., IUTAM symposium on model order reduction of coupled systems. MORCOS 2018. Proceedings of the IUTAM symposium, Stuttgart, Germany, May 22–25, 2018. Cham: Springer. IUTAM Bookser. 36, 67-79 (2020).
A reduced-order extrapolated Crank-Nicolson finite spectral element method for the 2D non-stationary Navier-Stokes equations about vorticity-stream functions. (English) Zbl 1432.65141
Reviewer: Denis Sidorov (Irkutsk)
A reduced-order extrapolating collocation spectral method based on POD for the 2D Sobolev equations. (English) Zbl 1513.65409
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