Partial learning using partially explicit discretization for multicontinuum/multiscale problems with limited observation: language interactions simulation
DOI10.1016/j.cam.2022.115034MaRDI QIDQ6157918
L. S. Zamorshchikova, N. V. Malysheva, Aleksei Tyrylgin, Sergei Stepanov, D. A. Ammosov
Publication date: 22 June 2023
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
finite element methodmachine learningimplicit-explicit schemeinterdisciplinary researchlanguage interactionsociolinguistics
Computational learning theory (68Q32) Artificial neural networks and deep learning (68T07) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical interpolation (65D05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Linguistics (91F20) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91)
Cites Work
- Generalized multiscale finite element methods (GMsFEM)
- The explicit-implicit-null method: removing the numerical instability of PDEs
- Fractional order bilingualism model without conversion from dominant unilingual group to bilingual group
- Two-level discretizations of nonlinear closure models for proper orthogonal decomposition
- Proper orthogonal decomposition closure models for turbulent flows: a numerical comparison
- Automated solution of differential equations by the finite element method. The FEniCS book
- Learning macroscopic parameters in nonlinear multiscale simulations using nonlocal multicontinua upscaling techniques
- Can the speakers of a dominated language survive as unilinguals? A mathematical model of bilingualism
- Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
- On the stability of implicit-explicit linear multistep methods
- Constraint energy minimizing generalized multiscale finite element method
- Non-local multi-continua upscaling for flows in heterogeneous fractured media
- Numerical modeling two natural languages interaction
- Temporal splitting algorithms for non-stationary multiscale problems
- Contrast-independent partially explicit time discretizations for multiscale wave problems
- Efficient hybrid explicit-implicit learning for multiscale problems
- A deep learning based reduced order modeling for stochastic underground flow problems
- Machine learning for accelerating macroscopic parameters prediction for poroelasticity problem in stochastic media
- The Future of Bilingualism: An Application of the Baggs and Freedman Model
- Nonlinear Model Reduction via Discrete Empirical Interpolation
- Multiscale Finite Element Methods
- Numerical Homogenization of Nonlinear Random Parabolic Operators
- Numerical Homogenization of Monotone Elliptic Operators
- A mathematical model for the dynamics of interactions between a unilingual and a bilingual population: Persistence versus extinction
- On numerical homogenization of shale gas transport
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