scientific article; zbMATH DE number 7489192
zbMath1482.65108MaRDI QIDQ5061863
Saifon Chaturantabut, Suchinthra Rungpitaxmana
Publication date: 14 March 2022
Full work available at URL: http://thaijmath.in.cmu.ac.th/index.php/thaijmath/article/view/1466
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
finite difference methodsFisher's equationproper orthogonal decomposition (POD)partial differential equations (PDEs)discrete empirical interpolation method (DEIM)ordinary differential equations (ODEs)model order reductions (MORs)
System structure simplification (93B11) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70)
Cites Work
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- Nonlinear model reduction for the Navier-Stokes equations using residual DEIM method
- The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows
- A nonlinear POD-Galerkin reduced-order model for compressible flows taking into account rigid body motions
- An improved algorithm for balanced POD through an analytic treatment of impulse response tails
- Non-linear Petrov-Galerkin methods for reduced order modelling of the Navier-Stokes equations using a mixed finite element pair
- A new estimation of the lower error bound in balanced truncation method
- Optimality of balanced proper orthogonal decomposition for data reconstruction. II: Further approximation results
- Fully discrete finite element approximations of the forced Fisher equation
- Nonlinear Galerkin method for low-dimensional modeling of fluid dynamic system using POD modes
- Error estimates for abstract linear-quadratic optimal control problems using proper orthogonal decomposition
- Proper orthogonal decomposition approach and error estimation of mixed finite element methods for the tropical Pacific Ocean reduced gravity model
- Numerical solution of Fisher's equation using a moving mesh method
- Balanced truncation approach to model reduction of Markovian jump time-varying delay systems
- Model reduction of dynamical systems by proper orthogonal decomposition: error bounds and comparison of methods using snapshots from the solution and the time derivatives
- An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
- A graph-theoretical approach for the analysis and model reduction of complex-balanced chemical reaction networks
- Non-linear Petrov-Galerkin methods for reduced order hyperbolic equations and discontinuous finite element methods
- POD/DEIM nonlinear model order reduction of an ADI implicit shallow water equations model
- Model order reduction for nonlinear dynamical systems based on trajectory piecewise-linear approximations
- A pseudospectral method of solution of Fisher's equation
- Local-global model reduction of parameter-dependent, single-phase flow models via balanced truncation
- Spatial characterization of the numerically simulated vorticity fields of a flow in a flume
- A posteriorierror estimation for semilinear parabolic optimal control problems with application to model reduction by POD
- Galerkin approximation with proper orthogonal decomposition : new error estimates and illustrative examples
- A Posteriori Error Estimation for DEIM Reduced Nonlinear Dynamical Systems
- Are the Snapshot Difference Quotients Needed in the Proper Orthogonal Decomposition?
- A State Space Error Estimate for POD-DEIM Nonlinear Model Reduction
- Nonlinear Model Reduction via Discrete Empirical Interpolation
- Approximation errors and model reduction with an application in optical diffusion tomography
- The critical wave speed for the Fisher–Kolmogorov–Petrowskii–Piscounov equation with cut-off
- Numerical studies on 2-dimensional reaction-diffusion equations
- Proper orthogonal decomposition for flow calculations and optimal control in a horizontal CVD reactor
- Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics
- An error estimate of the proper orthogonal decomposition in model reduction and data compression
- Application of POD and DEIM on dimension reduction of non-linear miscible viscous fingering in porous media
- Trajectory Piecewise Linear Approach for Nonlinear Differential-Algebraic Equations in circuit simulation
- Note on a principal axis transformation for non-hermitian matrices
- Numerical study of Fisher's reaction-diffusion equation by the Sinc collocation method
- Galerkin proper orthogonal decomposition methods for parabolic problems
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