Orthonormalization of a Subset of Bernstein Polynomial Basis Functions

Authors

  • Thomas St George Carroll University
  • Alec Wendland University of Connecticut

DOI:

https://doi.org/10.46787/pump.v7i0.3765

Keywords:

Bernstein polynomials; orthogonalization; combinatorial identities; ordinary differential equations

Abstract

An explicit formula for an orthornomalized subset Bernstein polynomial basis is derived in order to solve linear boundary value problems with Dirichlet conditions via the Galerkin method.

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Published

2024-11-10

How to Cite

St George, T., & Wendland, A. (2024). Orthonormalization of a Subset of Bernstein Polynomial Basis Functions. The PUMP Journal of Undergraduate Research, 7, 258–273. https://doi.org/10.46787/pump.v7i0.3765

Issue

Vol. 7 (2024): PUMP Journal of Undergraduate Research

Section

Articles

License

Copyright (c) 2024 Thomas St George, Alec Wendland

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

The author(s) will retain the copyright, but by submitting the article agree to grant permission to the PUMP Journal of Undergraduate Research to publish, distribute, and archive the article. The author(s) will acknowledge prior publication in the PUMP Journal of Undergraduate Research for all future uses of the article or parts of it.