Orthonormalization of a Subset of Bernstein Polynomial Basis Functions

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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Publication Details

Journal
The PUMP Journal of Undergraduate Research
Published
2024-11-10
DOI
https://doi.org/10.46787/pump.v7i0.3765
Primary Topic
Advanced Numerical Analysis Techniques
Type
article
Field-Weighted Citation Impact
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article

Orthonormalization of a Subset of Bernstein Polynomial Basis Functions

Thomas George, Alec Wendland
The PUMP Journal of Undergraduate Research
Advanced Numerical Analysis Techniques
article

Orthonormalization of a Subset of Bernstein Polynomial Basis Functions

Thomas George, Alec Wendland
article en

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.

The PUMP Journal of Undergraduate ResearchVol. 7
Carroll University (US)
Openalex Percentile: Top 78%
Advanced Numerical Analysis Techniques
DOIOpen Access PDFOpenAlex
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Orthonormalization of a Subset of Bernstein Polynomial Basis Functions — Thomas George, Alec Wendland · The PUMP Journal of Undergraduate Research (2024) | TGRS Research Map | TGRS