Taylor expansion behind Euler's method with second-order remainder (Q1675): Difference between revisions
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| Property / instance of: mathematical expression / rank | |||
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| Property / LaTeX source: y(x_{n}+h)=y(x_{n})+h\\,f\\bigl(x_{n},y(x_{n})\\bigr)+\\frac{h^{2}}{2}\\,y''(\\xi_{n}),\\qquad \\xi_{n}\\in(x_{n},x_{n}+h) / rank | |||
| Property / instance of | |||
| Property / instance of: mathematical expression / rank | |||
Normal rank | |||
| Property / LaTeX source | |||
y(x_{n}+h)=y(x_{n})+h\\,f\\bigl(x_{n},y(x_{n})\\bigr)+\\frac{h^{2}}{2}\\,y''(\\xi_{n}),\\qquad \\xi_{n}\\in(x_{n},x_{n}+h) | |||
| Property / LaTeX source: y(x_{n}+h)=y(x_{n})+h\\,f\\bigl(x_{n},y(x_{n})\\bigr)+\\frac{h^{2}}{2}\\,y''(\\xi_{n}),\\qquad \\xi_{n}\\in(x_{n},x_{n}+h) / rank | |||
Normal rank | |||
Latest revision as of 07:28, 4 September 2026
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Taylor expansion behind Euler's method with second-order remainder |
No description defined |
Statements
y(x_{n}+h)=y(x_{n})+h\\,f\\bigl(x_{n},y(x_{n})\\bigr)+\\frac{h^{2}}{2}\\,y''(\\xi_{n}),\\qquad \\xi_{n}\\in(x_{n},x_{n}+h)
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