Parallel tensor methods for high-dimensional linear PDEs (Q2002269)

scientific article

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English	Parallel tensor methods for high-dimensional linear PDEs	scientific article

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instance of

scholarly article

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title

Parallel tensor methods for high-dimensional linear PDEs (English)

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author

Arnout M. P. Boelens

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Daniele Venturi

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Daniel M. Tartakovsky

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published in

Journal of Computational Physics

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publication date

11 July 2019

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full work available at URL

https://arxiv.org/abs/1803.10270

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zbMATH Keywords

probability density function equation

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method of distributions

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high-dimensional PDEs

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describes a project that uses

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MaRDI publication profile

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cites work

The Boltzmann equation and its applications

0 references

A computable evolution equation for the joint response-excitation probability density function of stochastic dynamical systems

0 references

Q4236354

0 references

Q3515491

0 references

Q4857359

0 references

The numerical approximation of nonlinear functionals and functional differential equations

0 references

Q5707654

0 references

The Fokker-Planck equation. Methods of solution and applications.

0 references

Q4296871

0 references

Numerical methods for kinetic equations

0 references

On a simulation scheme for the Boltzmann equation

0 references

Mean-Field Model Beyond Boltzmann-Enskog Picture for Dense Gases

0 references

An efficient direct simulation Monte Carlo method for low Mach number noncontinuum gas flows based on the Bhatnagar–Gross–Krook model

0 references

A direct method for solving the Boltzmann equation

0 references

Numerical methods for high-dimensional probability density function equations

0 references

Numerical methods for stochastic partial differential equations with white noise

0 references

Deep learning-based numerical methods for high-dimensional parabolic partial differential equations and backward stochastic differential equations

0 references

Tensor networks and hierarchical tensors for the solution of high-dimensional partial differential equations

0 references

Spectral Methods for Time-Dependent Problems

0 references

Multivariate Regression and Machine Learning with Sums of Separable Functions

0 references

A regularized Newton method for the efficient approximation of tensors represented in the canonical tensor format

0 references

Non-intrusive low-rank separated approximation of high-dimensional stochastic models

0 references

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

0 references

A Practical Randomized CP Tensor Decomposition

0 references

Local Convergence of the Alternating Least Squares Algorithm for Canonical Tensor Approximation

0 references

Q4822978

0 references

On Local Convergence of Alternating Schemes for Optimization of Convex Problems in the Tensor Train Format

0 references

Iterative Solution of Nonlinear Equations in Several Variables

0 references

Parallel Candecomp/Parafac Decomposition of Sparse Tensors Using Dimension Trees

0 references

A new scheme for the tensor representation

0 references

Tensor Spaces and Numerical Tensor Calculus

0 references

Tensor Decompositions and Applications

0 references

Hierarchical Singular Value Decomposition of Tensors

0 references

A Multilinear Singular Value Decomposition

0 references

A fully symmetric nonlinear biorthogonal decomposition theory for random fields

0 references

Higher order Schmidt decompositions

0 references

Tensor Rank and the Ill-Posedness of the Best Low-Rank Approximation Problem

0 references

Most Tensor Problems Are NP-Hard

0 references

On Generic Nonexistence of the Schmidt--Eckart--Young Decomposition for Complex Tensors

0 references

Algorithm 941

0 references

Optimization on the hierarchical Tucker manifold - applications to tensor completion

0 references

Tensor-Train Decomposition

0 references

Parallel tensor sampling in the hierarchical Tucker format

0 references

Parallel ALS Algorithm for Solving Linear Systems in the Hierarchical Tucker Representation

0 references

Distributed hierarchical SVD in the Hierarchical Tucker format

0 references

Analysis and compression of six-dimensional gyrokinetic datasets using higher order singular value decomposition

0 references

A Semi-Lagrangian Vlasov Solver in Tensor Train Format

0 references

Low-rank approximation in the numerical modeling of the Farley-Buneman instability in ionospheric plasma

0 references

Q4210921

0 references

Q2757765

0 references

An efficient numerical method for solving the Boltzmann equation in multidimensions

0 references

ABOUT THE SPLITTING ALGORITHM FOR BOLTZMANN AND B.G.K. EQUATIONS

0 references

Q4211184

0 references

Q4409400

0 references

The mathematical theory of dilute gases

0 references

Fluid dynamical limit of the nonlinear Boltzmann equation to the level of the compressible Euler equation

0 references

The fluid dynamic limit of the nonlinear boltzmann equation

0 references

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

0 references

Moment closure hierarchies for kinetic theories.

0 references

Q4393437

0 references

A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems

0 references

Discrete-velocity models and numerical schemes for the Boltzmann-BGK equation in plane and axisymmetric geometries

0 references

High frequency oscillatory flows in a slightly rarefied gas according to the Boltzmann–BGK equation

0 references

The Gaussian-BGK model of Boltzmann equation with small Prandtl number

0 references

SOLUTION OF THE BOLTZMANN-HILBERT INTEGRAL EQUATION II. THE COEFFICIENTS OF VISCOSITY AND HEAT CONDUCTION

0 references

Model Dependence of the Slip Coefficient

0 references

LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares

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Identifiers

zbMATH Open document ID

1416.65387

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DOI

10.1016/j.jcp.2018.08.057

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2002269