Concepedia

Basis Function Selection

Basis Function Selection is the systematic process of choosing a set of linearly independent functions, typically from a space of orthogonal polynomials or trigonometric functions, that serve as the foundational elements for approximating solutions to differential equations in spectral methods, distinguished by its critical impact on convergence rate, numerical accuracy, and stability.

180

Publications

26.5K

Citations

444

Authors

243

Institutions

Publications per year

2017–2026

25

Parents

Publications

180

Self-Consistent Molecular-Orbital Methods. IX. An Extended Gaussian-Type Basis for Molecular-Orbital Studies of Organic Molecules

R. Ditchfield, Warren J. Hehre, John A. Pople · The Journal of Chemical Physics · 1971 · 10.5K citations

, , +15

Entropy-based algorithms for best basis selection

Ronald R. Coifman, Mladen Victor Wickerhauser · IEEE Transactions on Information Theory · 1992 · 3.2K citations

, , +16

Auxiliary basis sets to approximate Coulomb potentials

Karin Eichkorn, Oliver Treutler, Holger Öhm et al. · Chemical Physics Letters · 1995 · 2.9K citations

, , +11

Sampling and Sampling Methods

İlker Etikan · Biometrics & Biostatistics International Journal · 2017 · 1.2K citations · Full text

, , +13

Minimally augmented Karlsruhe basis sets

Jingjing Zheng, Xuefei Xu, Donald G. Truhlar · Theoretical Chemistry Accounts · 2010 · 1.1K citations

, , +4

1–5 of 180

Authors

444

  1. SA
    Stephen A. Rizzi

    Langley Research Center, United States

    3 publications · 120 citations

    3

    h-index

  2. AP
    Adam Przekop

    Langley Research Center, United States

    3 publications · 120 citations

    3

    h-index

  3. KF
    Karl Friston

    University College London, United Kingdom

    2 publications · 116 citations

    2

    h-index

  4. ZH
    Zhaoshui He

    Guangdong University of Technology, China

    2 publications · 33 citations

    2

    h-index

  5. CT
    Carl Taswell

    Stanford University, United States

    2 publications · 70 citations

    2

    h-index

1–5 of 444

Institutions

243

  1. Purdue University West Lafayette

    West Lafayette, United States

    4 h-index

    5 publications

    328 citations

  2. Yale University

    New Haven, United States

    3 h-index

    3 publications

    3.2K citations

  3. Politecnico di Milano

    Milan, Italy

    3 h-index

    3 publications

    365 citations

  4. Texas A&M University

    College Station, United States

    3 h-index

    6 publications

    117 citations

  5. University of California San Diego

    San Diego, United States

    3 h-index

    5 publications

    1.3K citations

  6. Langley Research Center

    Hampton, United States

    3 h-index

    3 publications

    120 citations

  7. Georgia Institute of Technology

    Atlanta, United States

    3 h-index

    6 publications

    388 citations

  8. Chinese Academy of Sciences

    Beijing, China

    3 h-index

    11 publications

    218 citations

1–8 of 243

Venues

  1. The Journal of Chemical Physics

    11 publications · 10.9K citations

    10

    h-index

  2. Theoretical Chemistry Accounts

    8 publications · 1.6K citations

    8

    h-index

  3. Chemical Physics Letters

    7 publications · 3.1K citations

    7

    h-index

  4. Journal of Computational Physics

    3 publications · 153 citations

    3

    h-index

  5. Numerische Mathematik

    3 publications · 101 citations

    3

    h-index

1–5