Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Boundary methods: A criterion for completeness.

I Herrera1

  • 1Institute for Research in Applied Mathematics and Systems, National University of Mexico, Apdo, Postal 20-726, México 20, D. F.

Proceedings of the National Academy of Sciences of the United States of America
|August 1, 1980
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Amphetamine in adolescence induces a sex-specific mesolimbic dopamine phenotype in the adult prefrontal cortex.

Communications biology·2025
Same author

Amphetamine in Adolescence Induces a Sex-Specific Mesolimbic Dopamine Phenotype in the Adult Prefrontal Cortex.

bioRxiv : the preprint server for biology·2025
Same author

Higgs Oscillations in a Unitary Fermi Superfluid.

Physical review letters·2024
Same author

Dynamics of a Fermi Gas Quenched to Unitarity.

Physical review letters·2021
Same author

High-Frequency Sound in a Unitary Fermi Gas.

Physical review letters·2020
Same author

Assessing sustainability performance in the educational sector. A high school case study.

The Science of the total environment·2019
Same journal

Tau protein as a regulator of mitochondrial function and dynamics.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same journal

A scalable, dividing cell model for the robust propagation and quantification of human sporadic Creutzfeldt-Jakob disease prions.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same journal

Epigenetic regulation of mesenchymal BMP signaling directs postnatal organ innervation.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same journal

Single-shot wide-field biochemical imaging at 1 kHz frame rate.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same journal

Morphogenesis and topological evolution of a frustrated nematic liquid crystal under confinement.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same journal

B cell-intrinsic CXCR3 drives efficient generation of ectopic pulmonary germinal center responses to influenza A virus infection.

Proceedings of the National Academy of Sciences of the United States of America·2026
See all related articles

This study introduces a criterion for developing complete solution systems, enhancing flexibility in alternative methods to boundary integral equations for complex problems.

Area of Science:

  • Numerical analysis
  • Mathematical methods in engineering

Background:

  • Boundary integral equations (BIE) are a common numerical method.
  • Alternative methods require complete solution systems for effective application.
  • Developing these systems is crucial for advancing numerical techniques.

Purpose of the Study:

  • To establish a criterion for the completeness of solution systems.
  • To enhance the flexibility of alternative methods to BIE.
  • To facilitate the development of robust numerical solutions.

Main Methods:

  • Establishing a theoretical criterion for solution system completeness.
  • Developing function systems that satisfy the criterion.
  • Analyzing convergence properties of approximating procedures.

Related Experiment Videos

Main Results:

  • A novel criterion for completeness of solution systems is established.
  • Demonstration of function systems complete for various boundary conditions.
  • Increased theoretical flexibility for alternative numerical methods.

Conclusions:

  • The developed criterion enables the creation of more adaptable numerical methods.
  • This work provides a foundation for applying alternative techniques to a wider range of problems.
  • Advances in numerical analysis through theoretical completeness.