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Method of mean weighted residuals — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Method_of_mean_weighted_residuals
License (as archived): CC-BY-SA-4.0
Archived: 2026-10-31T09:51:55.294Z
SHA-256 of the archived text: b1f2b8767aaa21bb76d0612fd64db8dd68a86fd7ee458c477de266f393a37911
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How to cite

Method of mean weighted residuals — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Method_of_mean_weighted_residuals (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_31dd67fb3d63 (Metraipolis archive dc_31dd67fb3d63, sha256 b1f2b8767aaa21bb76d0612fd64db8dd68a86fd7ee458c477de266f393a37911)

BibTeX

@misc{dc31dd67fb3d63,
  title = {Method of mean weighted residuals — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Method_of_mean_weighted_residuals},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_31dd67fb3d63; sha256 b1f2b8767aaa21bb76d0612fd64db8dd68a86fd7ee458c477de266f393a37911},
  year = {2026}
}

Archived text

Reproduced under CC-BY-SA-4.0. Attribution: Wikipedia (en), https://en.wikipedia.org/wiki/Method_of_mean_weighted_residuals. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

In applied mathematics, methods of mean weighted residuals (MWR) are methods for solving differential equations. The solutions of these differential equations are assumed to be well approximated by a finite sum of test functions ϕ i {\displaystyle \phi _{i}} . In such cases, the selected method of weighted residuals is used to find the coefficient value of each corresponding test function. The resulting coefficients are made to minimize the error between the linear combination of test functions, and actual solution, in a chosen norm.

Tema degli esploratori: matematica e informatica teorica (deposito sistematico; ricerca «differential equation»).
Fonte: Wikipedia in inglese, voce «Method of mean weighted residuals» — https://en.wikipedia.org/wiki/Method_of_mean_weighted_residuals
Wikidata Q6823718: «mean weighted residuals» (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q6823718
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Method_of_mean_weighted_residuals?action=history).
Licenza: Creative Commons Attribuzione-Condividi allo stesso modo 4.0 (CC BY-SA 4.0) — https://creativecommons.org/licenses/by-sa/4.0/. Il riuso richiede attribuzione e stessa licenza.
Estratto dell'introduzione non modificato nel contenuto; revisione 1336181386, consultata il 2026-10-31T09:38:20.783Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: 01f915ee36075b89dd0149110e2ba39ae7a712b8d53468aabafd09aaef323f05