Reduced collocation method for time-dependent parametrized partial differential equations
DOI10.1007/s41980-019-00210-wzbMath1442.65291OpenAlexW2921705307WikidataQ128129122 ScholiaQ128129122MaRDI QIDQ2330394
Rezvan Ghaffari, Farideh Ghoreishi
Publication date: 22 October 2019
Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s41980-019-00210-w
collocation methodleast squaresproper orthogonal decomposition (POD) methodparametrized partial differential equations (PDEs)reduced basis methods (RBMs)
PDEs in connection with fluid mechanics (35Q35) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Diffusion and convection (76R99) Parametrices in context of PDEs (35A17)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- A reduced radial basis function method for partial differential equations on irregular domains
- Parametric analytical preconditioning and its applications to the reduced collocation methods
- Certified reduced basis methods for parametrized parabolic partial differential equations with non-affine source terms
- A natural-norm successive constraint method for inf-sup lower bounds
- Reduced basis approximation and a posteriori error estimation for the time-dependent viscous Burgers' equation
- A reduced basis method for evolution schemes with parameter-dependent explicit operators
- Reduced-basis approximation of the viscous Burgers equation: Rigorous a posteriori error bounds.
- An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
- Reduced collocation methods: Reduced basis methods in the collocation framework
- Reduced basis method and domain decomposition for elliptic problems in networks and complex parametrized geometries
- Certified reduced basis approximation for parametrized partial differential equations and applications
- A successive constraint linear optimization method for lower bounds of parametric coercivity and inf-sup stability constants
- The method of proper orthogonal decomposition for dynamical characterization and order reduction of mechanical systems: an overview
- Preconditioning Legendre Spectral Collocation Methods for Elliptic Problems I: Finite Difference Operators
- A prioriconvergence of the Greedy algorithm for the parametrized reduced basis method
- Certified Reduced Basis Methods for Parametrized Partial Differential Equations
- Large‐Scale Inverse Problems and Quantification of Uncertainty
- Certified Reduced Basis Methods and Output Bounds for the Harmonic Maxwell's Equations
- REDUCED BASIS APPROXIMATION ANDA POSTERIORIERROR ESTIMATION FOR THE PARAMETRIZED UNSTEADY BOUSSINESQ EQUATIONS
- Convergence Rates for Greedy Algorithms in Reduced Basis Methods
- Spectral Methods for Time-Dependent Problems
- An Efficient Output Error Estimation for Model Order Reduction of Parametrized Evolution Equations
- Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations
- A ‘best points’ interpolation method for efficient approximation of parametrized functions
- The Reduced Basis Method for Incompressible Viscous Flow Calculations
- Principal component analysis in linear systems: Controllability, observability, and model reduction
- A subspace approach to balanced truncation for model reduction of nonlinear control systems
- Reduced Order Controllers for Spatially Distributed Systems via Proper Orthogonal Decomposition
- On the Reduced Basis Method
- A Practical Guide to Pseudospectral Methods
- A space-time hp-interpolation-based certified reduced basis method for Burgers' equation
- Convergence Rates of the POD–Greedy Method
- A posteriorierror bounds for reduced-basis approximations of parametrized parabolic partial differential equations
- Turbulence, Coherent Structures, Dynamical Systems and Symmetry
- A Space-Time Petrov--Galerkin Certified Reduced Basis Method: Application to the Boussinesq Equations
- Reduced basis method for finite volume approximations of parametrized linear evolution equations
- Spectral Methods
- Reduced Basis Methods for Partial Differential Equations
- Proper orthogonal decomposition for reduced basis feedback controllers for parabolic equations
- Galerkin proper orthogonal decomposition methods for parabolic problems
This page was built for publication: Reduced collocation method for time-dependent parametrized partial differential equations
