A bi-fidelity stochastic collocation method for transport equations with diffusive scaling and multi-dimensional random inputs
DOI10.1016/j.jcp.2022.111252OpenAlexW3185668598MaRDI QIDQ2671327
Liu Liu, Xueyu Zhu, Lorenzo Pareschi
Publication date: 3 June 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.09250
transport equationsuncertainty quantificationasymptotic-preserving schemesdiffusive scalingGoldstein-Taylor modelbi-fidelity method
Stochastic analysis (60Hxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Probabilistic methods, stochastic differential equations (65Cxx)
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Cites Work
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- Asymptotic-preserving methods for hyperbolic and transport equations with random inputs and diffusive scalings
- Sparse high order FEM for elliptic sPDEs
- Diffusive limit for finite velocity Boltzmann kinetic models
- Uncertainty quantification for kinetic models in socio-economic and life sciences
- Multi-fidelity stochastic collocation method for computation of statistical moments
- Uncertainty quantification for hyperbolic and kinetic equations
- A bi-fidelity surrogate modeling approach for uncertainty propagation in three-dimensional hemodynamic simulations
- Multi-scale control variate methods for uncertainty quantification in kinetic equations
- A bi-fidelity method for the multiscale Boltzmann equation with random parameters
- An Introduction to Radiative Transfer
- Optimal Model Management for Multifidelity Monte Carlo Estimation
- A Stochastic Collocation Algorithm with Multifidelity Models
- Stochastic Collocation Methods on Unstructured Grids in High Dimensions via Interpolation
- Computational Aspects of Stochastic Collocation with Multifidelity Models
- Stochastic galerkin and collocation methods for quantifying uncertainty in differential equations: a review
- Multilevel Monte Carlo Path Simulation
- A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
- Diffusive Relaxation Schemes for Multiscale Discrete-Velocity Kinetic Equations
- Uniformly Accurate Diffusive Relaxation Schemes for Multiscale Transport Equations
- Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization
- Radiative Transfer in the Atmosphere and Ocean
- Efficient Stochastic Asymptotic-Preserving Implicit-Explicit Methods for Transport Equations with Diffusive Scalings and Random Inputs
- A High Order Stochastic Asymptotic Preserving Scheme for Chemotaxis Kinetic Models with Random Inputs
- Nonlinear information fusion algorithms for data-efficient multi-fidelity modelling
- Numerical methods for kinetic equations
- Stochastic finite element methods for partial differential equations with random input data
- Diffusion Approximation and Computation of the Critical Size
- Implicit-Explicit Runge--Kutta Schemes for Hyperbolic Systems and Kinetic Equations in the Diffusion Limit
- Uncertainty Quantification for the BGK Model of the Boltzmann Equation Using Multilevel Variance Reduced Monte Carlo Methods
- Hyperbolic models for the spread of epidemics on networks: kinetic description and numerical methods
- Hyperbolic compartmental models for epidemic spread on networks with uncertain data: Application to the emergence of COVID-19 in Italy
- ERROR ESTIMATE OF A BIFIDELITY METHOD FOR KINETIC EQUATIONS WITH RANDOM PARAMETERS AND MULTIPLE SCALES
- MEAN-FIELD CONTROL VARIATE METHODS FOR KINETIC EQUATIONS WITH UNCERTAINTIES AND APPLICATIONS TO SOCIOECONOMIC SCIENCES
- Modeling and simulating the spatial spread of an epidemic through multiscale kinetic transport equations
- Multiscale Variance Reduction Methods Based on Multiple Control Variates for Kinetic Equations with Uncertainties
- High-Order Collocation Methods for Differential Equations with Random Inputs
- ON DIFFUSION BY DISCONTINUOUS MOVEMENTS, AND ON THE TELEGRAPH EQUATION
- A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
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