Fast low-rank solution of the multidimensional hyperbolic problems
DOI10.1007/s10598-018-9414-5zbMath1397.65171OpenAlexW2805411774WikidataQ129738511 ScholiaQ129738511MaRDI QIDQ1787671
Ke Wang, Shiheng Wang, Zhenyan Zhong
Publication date: 5 October 2018
Published in: Computational Mathematics and Modeling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10598-018-9414-5
hyperbolic equationdensity matrix renormalization groupmultidimensional problemglobal linear systemlow-rank solutionQTT-format
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
Cites Work
- Unnamed Item
- Unnamed Item
- Tensor-Train Decomposition
- Computation of extreme eigenvalues in higher dimensions using block tensor train format
- A fast solver for Fokker-Planck equation applied to viscoelastic flows calculations: 2D FENE model.
- Greedy approximation of high-dimensional Ornstein-Uhlenbeck operators
- Quantics-TT collocation approximation of parameter-dependent and stochastic elliptic PDEs
- Analysis of individual differences in multidimensional scaling via an \(n\)-way generalization of ``Eckart-Young decomposition
- Computing Inner Eigenvalues of Matrices in Tensor Train Matrix Format
- CONVERGENCE OF A GREEDY ALGORITHM FOR HIGH-DIMENSIONAL CONVEX NONLINEAR PROBLEMS
- Alternating Minimal Energy Methods for Linear Systems in Higher Dimensions
- Approximation of $2^d\times2^d$ Matrices Using Tensor Decomposition
- QTT approximation of elliptic solution operators in higher dimensions
- Low-Rank Explicit QTT Representation of the Laplace Operator and Its Inverse
- Solution of Linear Systems and Matrix Inversion in the TT-Format
- Fast Solution of Parabolic Problems in the Tensor Train/Quantized Tensor Train Format with Initial Application to the Fokker--Planck Equation
- Use of tensor formats in elliptic eigenvalue problems
- Tucker Dimensionality Reduction of Three-Dimensional Arrays in Linear Time
- An Alternating Direction Method for Operator Equations
This page was built for publication: Fast low-rank solution of the multidimensional hyperbolic problems
