Well-conditioned collocation schemes and new triangular spectral-element methods

• Main Author: Villena Samson, Michael Daniel
• Other Authors: Wang Li-Lian
• Format: Theses and Dissertations
• Language: English
• Published: 2014
• Subjects: DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis; DRNTU::Science::Mathematics::Applied mathematics::Simulation and modeling
• Online Access: https://hdl.handle.net/10356/60760
• Institution: Nanyang Technological University

In the first portion of this thesis, a new well-conditioned collocation method for solving differential equations based on Birkhoff interpolation is presented. The collocation schemes on interior points using the interpolation basis functions produce linear systems that do not use differentiation m...