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

• المؤلف الرئيسي: Villena Samson, Michael Daniel
• مؤلفون آخرون: Wang Li-Lian
• التنسيق: Theses and Dissertations
• اللغة: English
• منشور في: 2014
• الموضوعات: DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis; DRNTU::Science::Mathematics::Applied mathematics::Simulation and modeling
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/60760
• المؤسسة: 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...