Found 135 Documents (Results 1–100)
Empirical density estimation based on spline quasi-interpolation with applications to copulas clustering modeling. (English) Zbl 07900332
An adaptive certified space-time reduced basis method for nonsmooth parabolic partial differential equations. (English) Zbl 07870807
Model order reduction with novel discrete empirical interpolation methods in space-time. (English) Zbl 07866490
Advancing wave equation analysis in dual-continuum systems: a partial learning approach with discrete empirical interpolation and deep neural networks. (English) Zbl 07834872
Energy-conserving hyper-reduction and temporal localization for reduced order models of the incompressible Navier-Stokes equations. (English) Zbl 07819050
A reduced order model for domain decompositions with non-conforming interfaces. (English) Zbl 1534.65263
Projection-based reduced order models for parameterized nonlinear time-dependent problems arising in cardiac mechanics. (English) Zbl 1533.92019
Efficient and accurate nonlinear model reduction via first-order empirical interpolation. (English) Zbl 07766226
Gradient-preserving hyper-reduction of nonlinear dynamical systems via discrete empirical interpolation. (English) Zbl 1526.65057
Adaptive POD-DEIM correction for Turing pattern approximation in reaction-diffusion PDE systems. (English) Zbl 07745017
A localized reduced basis approach for unfitted domain methods on parameterized geometries. (English) Zbl 1539.65169
Discrete empirical interpolation and unfitted mesh FEMs: application in PDE-constrained optimization. (English) Zbl 07702620
On a certified VMS-Smagorinsky reduced basis model with LPS pressure stabilisation. (English) Zbl 07699014
Efficient and certified solution of parametrized one-way coupled problems through DEIM-based data projection across non-conforming interfaces. (English) Zbl 1512.65221
Reviewer: Marius Ghergu (Dublin)
Radial basis function partition of unity procedure combined with the reduced-order method for solving Zakharov-Rubenchik equations. (English) Zbl 1539.65135
Dictionary-based model order reduction via POD-DEIM with support vector machine for the parametrized Burgers’ equation. (English) Zbl 1538.65449
Stabilized reduced-order models for unsteady incompressible flows in three-dimensional parametrized domains. (English) Zbl 1521.76320
A hyper-reduced MAC scheme for the parametric Stokes and Navier-Stokes equations. (English) Zbl 07561089
Multilinear POD-DEIM model reduction for 2D and 3D semilinear systems of differential equations. (English) Zbl 1497.37106
An empirical interpolation method for two-dimensional vector fields and vector measurements. (English) Zbl 07865374
An EIM-degradation free reduced basis method via over collocation and residual hyper reduction-based error estimation. (English) Zbl 07515446
Feasibility of DEIM for retrieving the initial field via dimensionality reduction. (English) Zbl 07500740
Modified parareal method for solving the two-dimensional nonlinear shallow water equations using finite volumes. (English) Zbl 1518.76040
Non-negative moment fitting quadrature rules for fictitious domain methods. (English) Zbl 1524.74427
A space-time certified reduced basis method for quasilinear parabolic partial differential equations. (English) Zbl 1486.65169
Structure preserving model order reduction of shallow water equations. (English) Zbl 1484.65181
Reviewer: Petr Sváček (Praha)
Computational bottlenecks for PROMs: precomputation and hyperreduction. (English) Zbl 1483.65154
Benner, Peter (ed.) et al., Model order reduction. Volume 2: Snapshot-based methods and algorithms. Berlin: De Gruyter. 181-243 (2021).
Reviewer: Yinhua Xia (Hefei)
Reduced basis methods. (English) Zbl 1476.65245
Benner, Peter (ed.) et al., Model order reduction. Volume 2: Snapshot-based methods and algorithms. Berlin: De Gruyter. 139-179 (2021).
Model order reduction by proper orthogonal decomposition. (English) Zbl 1467.35021
Benner, Peter (ed.) et al., Model order reduction. Volume 2: Snapshot-based methods and algorithms. Berlin: De Gruyter. 47-96 (2021).
Basic ideas and tools for projection-based model reduction of parametric partial differential equations. (English) Zbl 1518.65120
Benner, Peter (ed.) et al., Model order reduction. Volume 2: Snapshot-based methods and algorithms. Berlin: De Gruyter. 1-46 (2021).
Reviewer: Michael Jung (Dresden)
Fast solution of the linearized Poisson-Boltzmann equation with nonaffine parametrized boundary conditions using the reduced basis method. (English) Zbl 07704919
MSC:
65Nxx
Enhanced model-order reduction approach via online adaptation for parametrized nonlinear structural problems. (English) Zbl 1490.74121
Beyond Gaussian approximation: bootstrap for maxima of sums of independent random vectors. (English) Zbl 1461.62042
Reviewer: Thorsten Dickhaus (Bremen)
Stability of discrete empirical interpolation and gappy proper orthogonal decomposition with randomized and deterministic sampling points. (English) Zbl 1453.65287
Reviewer: Abdallah Bradji (Annaba)
Model reduction for transport-dominated problems via online adaptive bases and adaptive sampling. (English) Zbl 1453.65286
Reviewer: Abdallah Bradji (Annaba)
Certified reduced basis VMS-Smagorinsky model for natural convection flow in a cavity with variable height. (English) Zbl 1447.65067
Implementation and detailed assessment of a GNAT reduced-order model for subsurface flow simulation. (English) Zbl 07581569
Reduced-order modelling for the Allen-Cahn equation based on scalar auxiliary variable approaches. (English) Zbl 1449.65284
Mass conservative reduced order modeling of a free boundary osmotic cell swelling problem. (English) Zbl 1432.65148
Weakly intrusive low-rank approximation method for nonlinear parameter-dependent equations. (English) Zbl 07099313
Trajectory-based DEIM (TDEIM) model reduction applied to reservoir simulation. (English) Zbl 1411.86003
Model order reduction for parametrized nonlinear hyperbolic problems as an application to uncertainty quantification. (English) Zbl 1404.65112
Numerical approximation of parametrized problems in cardiac electrophysiology by a local reduced basis method. (English) Zbl 1440.92003
An improved empirical mode decomposition method based on the cubic trigonometric B-spline interpolation algorithm. (English) Zbl 1427.94021
A combination of proper orthogonal decomposition-discrete empirical interpolation method (POD-DEIM) and meshless local RBF-DQ approach for prevention of groundwater contamination. (English) Zbl 1409.76095
Uncertainty quantification for low-frequency, time-harmonic Maxwell equations with stochastic conductivity models. (English) Zbl 1405.35264
Energy preserving model order reduction of the nonlinear Schrödinger equation. (English) Zbl 1404.65310
A progressive reduced basis/empirical interpolation method for nonlinear parabolic problems. (English) Zbl 1397.65180
The discrete empirical interpolation method: canonical structure and formulation in weighted inner product spaces. (English) Zbl 1415.65107
An algorithmic comparison of the hyper-reduction and the discrete empirical interpolation method for a nonlinear thermal problem. (English) Zbl 1390.80017
POD/DEIM reduced-order modeling of time-fractional partial differential equations with applications in parameter identification. (English) Zbl 1404.65140
Online interpolation point refinement for reduced-order models using a genetic algorithm. (English) Zbl 1383.65123
A matrix DEIM technique for model reduction of nonlinear parametrized problems in cardiac mechanics. (English) Zbl 1439.74394
Numerical solution of the parameterized steady-state Navier-Stokes equations using empirical interpolation methods. (English) Zbl 1439.76064
Magic points in finance: empirical integration for parametric option pricing. (English) Zbl 1429.91320
Structure preserving integration and model order reduction of skew-gradient reaction-diffusion systems. (English) Zbl 1387.35353
Structure preserving model reduction of parametric Hamiltonian systems. (English) Zbl 1379.78019
Reviewer: Teodora-Liliana Rădulescu (Craiova)
A reduced-basis approach to two-phase flow in porous media. (English) Zbl 1365.76300
Cancès, Clément (ed.) et al., Finite volumes for complex applications VIII – hyperbolic, elliptic and parabolic problems. FVCA 8, Lille, France, June 12–16, 2017. Cham: Springer (ISBN 978-3-319-57393-9/hbk; 978-3-319-57394-6/ebook; 978-3-319-58818-6/set). Springer Proceedings in Mathematics & Statistics 200, 477-486 (2017).
Hierarchical model reduction of nonlinear partial differential equations based on the adaptive empirical projection method and reduced basis techniques. (English) Zbl 1362.65129
Reviewer: Abdallah Bradji (Annaba)
Efficient estimation of cardiac conductivities via POD-DEIM model order reduction. (English) Zbl 1361.92046
Dimensionality reduction of parameter-dependent problems through proper orthogonal decomposition. (English) Zbl 1381.65005
Nonlinear model-order reduction for compressible flow solvers using the discrete empirical interpolation method. (English) Zbl 1371.76103
POD-based model reduction with empirical interpolation applied to nonlinear elasticity. (English) Zbl 1352.74048
Sensitivity analysis approach for reduced-order approximations of optimal control problems governed by Burgers equation. (English) Zbl 1353.49043
An empirical interpolation approach to reduced basis approximations for variational inequalities. (English) Zbl 1351.49034
An empirical interpolation and model-variance reduction method for computing statistical outputs of parametrized stochastic partial differential equations. (English) Zbl 1386.65044
Energy stable model reduction of neurons by nonnegative discrete empirical interpolation. (English) Zbl 1359.37145
Interpolation of inverse operators for preconditioning parameter-dependent equations. (English) Zbl 1382.65035
A new selection operator for the discrete empirical interpolation method – improved a priori error bound and extensions. (English) Zbl 1382.65193
Real time parameter identification and solution reconstruction from experimental data using the proper generalized decomposition. (English) Zbl 1423.74961
Global-local nonlinear model reduction for flows in heterogeneous porous media. (English) Zbl 1423.76414
The generalized empirical interpolation method: stability theory on Hilbert spaces with an application to the Stokes equation. (English) Zbl 1423.76346
Reduced-order multiscale modeling of nonlinear \(p\)-Laplacian flows in high-contrast media. (English) Zbl 1395.65086
Accelerating PDE constrained optimization by the reduced basis method: application to batch chromatography. (English) Zbl 1352.49026
Certified dual-corrected radiation patterns of phased antenna arrays by offline-online order reduction of finite-element models. (English) Zbl 1351.78041
Efficient model reduction of parametrized systems by matrix discrete empirical interpolation. (English) Zbl 1349.65154
POD/DEIM reduced-order strategies for efficient four dimensional variational data assimilation. (English) Zbl 1349.76535
POD-DEIM approach on dimension reduction of a multi-species host-parasitoid system. (English) Zbl 1515.35131
A fast certified parametric near-field-to-far-field transformation technique for electrically large antenna arrays. (English) Zbl 1329.78053
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