Crank–Nicolson method

finite difference method for numerically solving parabolic differential equations
Place numerical_method_for_partial_differential_equations Q588725
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Crank–Nicolson method

Summary

Crank–Nicolson method is a numerical method for partial differential equations[1]. It draws 267 Wikipedia views per month (numerical_method_for_partial_differential_equations category, ranking #1 of 1).[2]

Key Facts

  • Crank–Nicolson method's instance of is recorded as numerical method for partial differential equations[3].
  • Crank–Nicolson method's instance of is recorded as finite difference method[4].
  • Crank–Nicolson method's instance of is recorded as implicit Runge–Kutta method[5].
  • John Crank is named after Crank–Nicolson method[6].
  • Phyllis Nicolson is named after Crank–Nicolson method[7].
  • Crank–Nicolson method's based on is recorded as trapezoidal rule[8].
  • Crank–Nicolson method's has part is recorded as Euler method[9].
  • Crank–Nicolson method's has part is recorded as backward Euler method[10].
  • Crank–Nicolson method's Freebase ID is recorded as /m/060bs0[11].
  • Crank–Nicolson method's computes solution to is recorded as parabolic partial differential equation[12].
  • Crank–Nicolson method's Microsoft Academic ID is recorded as 180931078[13].
  • Crank–Nicolson method's OpenAlex ID is recorded as C180931078[14].

Body

Designation and Status

Recorded instance of include numerical method for partial differential equations[3], finite difference method[4], and implicit Runge–Kutta method[5].

History and Context

Things named after include John Crank[6], a mathematician[15], 1916–2006[16], of United Kingdom[17] and Phyllis Nicolson[7], a mathematician[18], 1917–1968[19], of United Kingdom[20], specialised in thermal conduction[21].

Why It Matters

Crank–Nicolson method draws 267 Wikipedia views per month (numerical_method_for_partial_differential_equations category, ranking #1 of 1).[2] It has Wikipedia articles in 11 language editions, a strong signal of global cultural recognition.[22]

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] . Freebase Data Dumps. wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Inline context (facts about related entities)

  1. [15] . Wikidata. wikidata.org. → on this site
  2. [16] . Wikidata. wikidata.org. → on this site
  3. [17] . Wikidata. wikidata.org. → on this site
  4. [18] . Wikidata. wikidata.org. → on this site
  5. [19] . Wikidata. wikidata.org. → on this site
  6. [20] . Wikidata. wikidata.org. → on this site
  7. [21] . Wikidata. wikidata.org. → on this site

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [22] . Wikidata sitelinks. wikidata.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). Crank–Nicolson method. Retrieved May 3, 2026, from https://4ort.xyz/entity/crank-nicolson-method
MLA “Crank–Nicolson method.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/crank-nicolson-method.
BibTeX @misc{4ortxyz_crank-nicolson-method_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Crank–Nicolson method}}, year = {2026}, url = {https://4ort.xyz/entity/crank-nicolson-method}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Crank–Nicolson method — https://4ort.xyz/entity/crank-nicolson-method (retrieved 2026-05-03)

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