A Novel Reconstruction Technique for Finite-Volume Truncation Error Estimation

2019 ◽  
Author(s):  
William C. Tyson ◽  
Christopher J. Roy ◽  
Carl F. Ollivier Gooch
Keyword(s):  
Error Estimation ◽  
Finite Volume ◽  
Truncation Error ◽  
Reconstruction Technique ◽  
Truncation Error Estimation

Finite Volume Solution Reconstruction Methods For Truncation Error Estimation

2013 ◽  
Author(s):  
Tyrone Phillips ◽  
Joseph M. Derlaga ◽  
Christopher J. Roy ◽  
Jeffrey Borggaard
Keyword(s):  
Error Estimation ◽  
Finite Volume ◽  
Truncation Error ◽  
Reconstruction Methods ◽  
Truncation Error Estimation

scholarly journals Numerical methods for the multiplicative partial differential equations

2017 ◽  
Vol 15 (1) ◽  
pp. 1344-1350
Author(s):  
Muhammet Yazıcı ◽  
Harun Selvitopi
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Numerical Methods ◽  
Error Estimation ◽  
Truncation Error ◽  
Numerical Solutions ◽  
Partial Differential ◽  
The Matrix ◽  
The Stability ◽  
Truncation Error Estimation

Abstract We propose the multiplicative explicit Euler, multiplicative implicit Euler, and multiplicative Crank-Nicolson algorithms for the numerical solutions of the multiplicative partial differential equation. We also consider the truncation error estimation for the numerical methods. The stability of the algorithms is analyzed by using the matrix form. The result reveals that the proposed numerical methods are effective and convenient.

Variable step Rosenbrock algorithm for transient response of damped structures

1998 ◽  
Vol 213 (2) ◽  
pp. 191-198 ◽  
Author(s):  
R Piché ◽  
P Nevalainen
Keyword(s):  
Error Estimation ◽  
Truncation Error ◽  
Large Time ◽  
Interpolation Formula ◽  
Time Step ◽  
Estimation Formula ◽  
Variable Step ◽  
Intermediate Output ◽  
Two Degree Of Freedom ◽  
Truncation Error Estimation

A Rosenbrock algorithm with varying time step is adapted for transient analysis of damped second-order differential equations. The time step adjustment is based on an embedded local truncation error estimation formula. An interpolation formula can be used for intermediate output. The stepping formula is L-stable and the error estimation formula is bounded for large time steps. The Rosenbrock algorithm is compared with the Thomas—Gladwell STEP34 algorithm, which is found to be only conditionally stable. Numerical results are given for two linear examples: a stiff, linear, two-degree-of-freedom system and a non-proportionally damped plate.

scholarly journals Quasi-A Priori Truncation Error Estimation in the DGSEM

2014 ◽  
Vol 64 (2) ◽  
pp. 425-455 ◽  
Author(s):  
Gonzalo Rubio ◽  
François Fraysse ◽  
David A. Kopriva ◽  
Eusebio Valero
Keyword(s):  
Error Estimation ◽  
Truncation Error ◽  
A Priori ◽  
Truncation Error Estimation
Sign in / Sign up

Export Citation Format

Share Document