Topic
Tridiagonal matrix algorithm
About: Tridiagonal matrix algorithm is a research topic. Over the lifetime, 1070 publications have been published within this topic receiving 21084 citations.
Papers published on a yearly basis
1 / 2
Papers
TL;DR: A block tridiagonal matrix is factored with minimal fill-in using a cyclic reduction algorithm that is easily parallelized, which will allow many physical applications to optimally use the parallel resources on current supercomputers.
47 citations
TL;DR: In this paper, a numerical solution of generalized Burgers-Huxley (gBH) equation is approximated by using a new scheme: modified cubic B-spline differential quadrature method (MCB-DQM).
47 citations
TL;DR: A linear high-order compact difference scheme is proposed to solve the one-dimensional Burgers’ equation, which is fourth-orders accurate in space and second-order accurate in time and can be directly used for solving the tridiagonal linear system.
47 citations
TL;DR: A limited processor version of the recursive doubling algorithm for the solution of tridiagonal linear systems using O( n / p + log p ) parallel arithmetic steps on a parallel computer with p n processors.
46 citations
TL;DR: In this paper, the Gauss elimination algorithm for solving the tridiagonal system of linear algebraic equations associated with most implicit heat conduction codes is specialized to the inverse problem and the upper limit in additional computation time generally does not exceed 27-36%.
Abstract: A very efficient numerical technique has been developed to solve the one-dimensional Inverse problem of heat conduction. The Gauss elimination algorithm for solving the tridiagonal system of linear algebraic equations associated with most implicit heat conduction codes is specialized to the inverse problem. When compared to the corresponding direct problem, the upper limit in additional computation time generally does not exceed 27-36%. The technique can be adapted to existing one-dimensional implicit heat conduction codes with minimal effort and applied to difference equations obtained from finite-difference, finite-element, finite control volume, or similar techniques, provided the difference equations are tridiagonal in form. It is also applicable to the nonlinear case in- which thermal properties are temperature-dependent and is valid for one-dimensional radial cylindrical and spherical geometries as well as composite bodies. The calculations reported here were done by modifying a one-dimensional impl...
46 citations
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Performance Metrics
| Year | Papers |
|---|---|
| 2025 | 3 |
| 2024 | 7 |
| 2023 | 11 |
| 2022 | 22 |
| 2021 | 14 |
| 2020 | 11 |