Abstract
A Petrov–Galerkin formulation of the semidiscrete linear transient heat conduction problem is given, from which a unified set of A-stable higher-order time integration methods is derived. Accuracy and stability properties can be controlled by an algorithmic parameter introduced in the definition of the test functions. In this manner, A-stable algorithms of order 2 p and L-stable algorithms of order 2 p−1 are derived from a unique formulation. In addition, algorithms with intermediate accuracy and stability properties are made available. The effects of varying the algorithmic parameter are investigated. Numerical tests are included to support the theoretical analysis.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Computer Methods in Applied Mechanics and Engineering
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.