Tensor product analysis of partial difference equations
From MaRDI portal
Publication:5332840
DOI10.1090/S0002-9904-1964-11105-8zbMath0126.12704OpenAlexW2007948599MaRDI QIDQ5332840
Donald H. Thomas, John R. Rice, Robert E. Lynch
Publication date: 1964
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9904-1964-11105-8
Related Items
A finite-difference scheme for three-dimensional incompressible flows in spherical coordinates ⋮ Inference for low-rank tensors -- no need to debias ⋮ Formation of columnar baroclinic vortices in thermally stratified nonlinear spin-up ⋮ Direct solution of partial difference equations by tensor product methods ⋮ Differenzenverfahren zur Berechnung periodischer Lösungen von hyperbolischen Differentialgleichungen ⋮ A cheap preconditioner based on fast diagonalization method for matrix-free weighted-quadrature isogeometric analysis applied to nonlinear transient heat transfer problems ⋮ Matrix decomposition algorithms for elliptic boundary value problems: A survey ⋮ Computational methods of linear algebra ⋮ An In‐Core Finite Difference Method for Separable Boundary Value Problems on a Rectangle ⋮ Periodic and localized states in natural doubly diffusive convection ⋮ RBF-FD solution for a financial partial-integro differential equation utilizing the generalized multiquadric function ⋮ Main convergence theorems for the improved sor method with orderings ⋮ Greedy low-rank approximation in Tucker format of solutions of tensor linear systems ⋮ Adaptive improved block SOR method with orderings ⋮ Note on inversion of certain block-partitioned matrices ⋮ A canonical basis for the matrix transformation \(X \to AX+XB\) ⋮ A canonical basis for the matrix transformation \(X\to AXB\) ⋮ Discrete invariant imbedding and elliptic boundary-value problems over irregular regions ⋮ A one-sweep numerical method for vector-matrix difference equations with two-point boundary conditions ⋮ A black-box low-rank approximation algorithm for fast matrix assembly in isogeometric analysis ⋮ Invariant imbedding, difference equations, and elliptic boundary value problems ⋮ Pinning of rotating waves to defects in finite Taylor–Couette flow ⋮ Sulla determinazione della inversa delle matrici tridiagonali e tridiagonali a blicchi ⋮ A Kronecker product variant of the FACR method for solving the generalized Poisson equation ⋮ ISLET: Fast and Optimal Low-Rank Tensor Regression via Importance Sketching
Cites Work
- Unnamed Item
- Unnamed Item
- Alternating direction methods for three space variables
- Separation der Variablen in Hilbertschen Räumen
- The Numerical Solution of Parabolic and Elliptic Differential Equations
- On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
- An Alternating Direction Method for Solving the Biharmonic Equation
- Implicit Alternating Direction Methods
- Über eine Methode zur numerischen Lösung der Poissonschen Differenzengleichung für beliebige Gebiete
- Alternating Direction Implicit Methods
- Simultaneous, Successive and Alternating Direction Iteration Schemes
- Chebyshev Approximation by $a\Pi \frac{{x - r_i }}{{x + s_i }}$ and Application to ADI Iteration
