Algorithms for Almost Block Diagonal Linear Systems
From MaRDI portal
Publication:4652242
DOI10.1137/S003614450240506XzbMath1062.65031OpenAlexW2081468400MaRDI QIDQ4652242
Ian Gladwell, Graeme Fairweather
Publication date: 25 February 2005
Published in: SIAM Review (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s003614450240506x
Computational methods for sparse matrices (65F50) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Direct numerical methods for linear systems and matrix inversion (65F05)
Related Items (26)
Numerical analysis of cubic orthogonal spline collocation methods for the coupled Schrödinger-Boussinesq equations ⋮ Rannacher time-marching with orthogonal spline collocation method for retrieving the discontinuous behavior of hedging parameters ⋮ A backward euler orthogonal spline collocation method for the time-fractional Fokker-Planck equation ⋮ Crank-Nicolson orthogonal spline collocation method combined with WSGI difference scheme for the two-dimensional time-fractional diffusion-wave equation ⋮ High‐order discrete‐time orthogonal spline collocation methods for singularly perturbed 1D parabolic reaction–diffusion problems ⋮ An ADI Crank-Nicolson orthogonal spline collocation method for the two-dimensional fractional diffusion-wave equation ⋮ Matrix decomposition algorithms for elliptic boundary value problems: A survey ⋮ BDF2 ADI orthogonal spline collocation method for the fractional integro-differential equations of parabolic type in three dimensions ⋮ The Crank-Nicolson orthogonal spline collocation method for one-dimensional parabolic problems with interfaces ⋮ Performance analysis of error-control B-spline Gaussian collocation software for PDEs ⋮ Componentwise error analysis for the block LU factorization of totally nonnegative matrices ⋮ An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems ⋮ A massively parallel algorithm for bordered almost block diagonal systems on GPUs ⋮ Low-rank iterative methods for periodic projected Lyapunov equations and their application in model reduction of periodic descriptor systems ⋮ A fast ADI orthogonal spline collocation method with graded meshes for the two-dimensional fractional integro-differential equation ⋮ A high-order numerical scheme using orthogonal spline collocation for solving the two-dimensional fractional reaction-subdiffusion equation ⋮ A high-order numerical method for solving the 2D fourth-order reaction-diffusion equation ⋮ Computing periodic deflating subspaces associated with a specified set of eigenvalues ⋮ A fourth-order collocation scheme for two-point interface boundary value problems ⋮ An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems on evolving domains ⋮ RECSY and SCASY Library Software: Recursive Blocked and Parallel Algorithms for Sylvester-Type Matrix Equations with Some Applications ⋮ Periodic Eigendecomposition and Its Application to Kuramoto--Sivashinsky System ⋮ Alternating direction implicit OSC scheme for the two-dimensional fractional evolution equation with a weakly singular kernel ⋮ A highly accurate algorithm for retrieving the predicted behavior of problems with piecewise-smooth initial data ⋮ Orthogonal spline collocation method for the two-dimensional time fractional mobile-immobile equation ⋮ Orthogonal spline collocation scheme for the multi-term time-fractional diffusion equation
Uses Software
This page was built for publication: Algorithms for Almost Block Diagonal Linear Systems
