Solving the Boltzmann Equation with a Neural Sparse Representation (Q6154197)

scientific article; zbMATH DE number 7820563

Language	Label	Description	Also known as
English	Solving the Boltzmann Equation with a Neural Sparse Representation	scientific article; zbMATH DE number 7820563

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instance of

scholarly article

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title

Solving the Boltzmann Equation with a Neural Sparse Representation (English)

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published in

SIAM Journal on Scientific Computing

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publication date

19 March 2024

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full work available at URL

https://arxiv.org/abs/2302.09233

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zbMATH Keywords

Boltzmann equation

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BGK model

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quadratic collision

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canonical polyadic decomposition

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singular value decomposition

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MaRDI profile type

MaRDI publication profile

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cites work

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Analysis of individual differences in multidimensional scaling via an \(n\)-way generalization of ``Eckart-Young'' decomposition

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Numerical solution of the Boltzmann equation with S-model collision integral using tensor decompositions

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Numerical methods for kinetic equations

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The Deep Ritz Method: a deep learning-based numerical algorithm for solving variational problems

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A Fast Spectral Method for the Boltzmann Collision Operator with General Collision Kernels

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High order asymptotic preserving DG-IMEX schemes for discrete-velocity kinetic equations in a diffusive scaling

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Asymptotic-preserving neural networks for multiscale time-dependent linear transport equations

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A Micro-Macro Decomposition-Based Asymptotic-Preserving Scheme for the Multispecies Boltzmann Equation

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Dynamical Low‐Rank Approximation

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Learning invariance preserving moment closure model for Boltzmann-BGK equation

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Multi-Scale Deep Neural Network (MscaleDNN) for Solving Poisson-Boltzmann Equation in Complex Domains

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Physics-informed neural networks for solving forward and inverse flow problems via the Boltzmann-BGK formulation

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Neural-network based collision operators for the Boltzmann equation

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Fast algorithms for computing the Boltzmann collision operator

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Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

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Randomized Alternating Least Squares for Canonical Tensor Decompositions: Application to A PDE With Random Data

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Macroscopic transport equations for rarefied gas flows. Approximation methods in kinetic theory.

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Approximation of the Boltzmann collision operator based on Hermite spectral method

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Deterministic numerical solutions of the Boltzmann equation using the fast spectral method

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Using neural networks to accelerate the solution of the Boltzmann equation

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Identifiers

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6154197