Upwind scheme

Discretization method for differential equations
Place numerical_method_in_hyperbolic_partial_differential_equations Q7899499
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Upwind scheme

Summary

Upwind scheme is a numerical method in hyperbolic partial differential equations[1]. It draws 77 Wikipedia views per month (numerical_method_in_hyperbolic_partial_differential_equations category, ranking #2 of 5).[2]

Key Facts

  • Upwind scheme's instance of is recorded as numerical method in hyperbolic partial differential equations[3].
  • Upwind scheme's instance of is recorded as finite difference method[4].
  • Upwind scheme's Freebase ID is recorded as /m/03grqr3[5].
  • Upwind scheme's computes solution to is recorded as hyperbolic partial differential equation[6].
  • Upwind scheme's defining formula is recorded as \begin{cases} \frac{u_i^{n+1} - u_i^n}{\Delta t} + a \frac{u_i^n - u_{i-1}^n}{\Delta x} = 0 & a > 0 \ \frac{u_i^{n+1} - u_i^n}{\Delta t} + a \frac{u_{i+1}^n - u_i^n}{\Delta x} = 0 & a < 0 \end{cases}[7].
  • Upwind scheme's JSTOR topic ID is recorded as upwind-schemes[8].
  • Upwind scheme's maintained by WikiProject is recorded as WikiProject Mathematics[9].
  • Upwind scheme's maintained by WikiProject is recorded as WikiProject Fluid dynamics[10].
  • Upwind scheme's Microsoft Academic ID is recorded as 94025248[11].
  • Upwind scheme's OpenAlex ID is recorded as C94025248[12].

Body

Designation and Status

Recorded instance of include numerical method in hyperbolic partial differential equations[3] and finite difference method[4].

Why It Matters

Upwind scheme draws 77 Wikipedia views per month (numerical_method_in_hyperbolic_partial_differential_equations category, ranking #2 of 5).[2]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Upwind scheme. Retrieved May 3, 2026, from https://4ort.xyz/entity/upwind-scheme
MLA “Upwind scheme.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/upwind-scheme.
BibTeX @misc{4ortxyz_upwind-scheme_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Upwind scheme}}, year = {2026}, url = {https://4ort.xyz/entity/upwind-scheme}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Upwind scheme — https://4ort.xyz/entity/upwind-scheme (retrieved 2026-05-03)

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