trapezoidal rule
implicit one-step numerical method for solving differential equations
| rdfs:label |
"trapezoidal rule"@en
|
|
skos:alt |
"one-step Adams–Moulton method"@en
|
| schema:description |
"implicit one-step numerical method for solving differential equations"@en
|
|
schema:date |
"2026-07-30T11:03:20+00:00"^^xsd:dateTime |
| schema:version | 2524787042 |
| wikibase:identifiers | 2 |
| wikibase:sitelinks | 6 |
| wikibase:statements | 15 |
| p:P138 | wd:statement/Q7835583-ab2459f3-4adf-cc47-92b7-92271b8f060e |
| p:P155 | wd:statement/Q7835583-d0e3a3a3-4886-0fd5-d986-950d1df96aef |
| p:P1552 | wd:statement/Q7835583-bf94d49e-475c-d778-eedd-212a81dfe03d |
| wd:statement/Q7835583-c3a30c33-4cb0-ef65-c58f-6e044dc87d80 | |
| wd:statement/Q7835583-c79b3abd-4e0d-cd8e-8b54-b4117e4577e4 | |
| p:P156 | wd:statement/Q7835583-e00bc4f1-4189-f8f9-9d82-966d870f97db |
| p:P1889 | wd:statement/Q7835583-f1188896-4347-49bd-7c0f-350b69c12121 |
| p:P2534 | wd:statement/Q7835583-ac6e6c08-43c3-255c-df18-17ece38d27c7 |
| p:P31 | wd:statement/Q7835583-17ea88bc-4443-7231-74b6-22fd4744d3d1 |
| wd:statement/Q7835583-773f4d19-4033-1515-3fd5-f2389443f787 | |
| p:P461 | wd:statement/Q7835583-5e1a0e53-4e03-5cab-c5d4-cb5fc4723af7 |
| p:P6104 | wd:statement/Q7835583-0FF94658-EA49-485E-9FAA-5BF1762527E7 |
| p:P6366 | wd:statement/Q7835583-6B53FF9D-02CA-4E71-ACCC-D08494C78B22 |
| p:P646 | wd:statement/Q7835583-D08A1821-9E05-40BD-9E15-3E1E1BFB587E |
| p:P8558 | wd:statement/Q7835583-e9a657f0-4742-1ea8-d8c7-37f2dbd52d07 |
|
p:direct- |
<https:/ |
| wdt:P138 | trapezoid |
| wdt:P155 | backward Euler method |
| wdt:P1552 | number of stages |
| order of convergence | |
| number of steps | |
| wdt:P156 | two-step Adams–Moulton method |
| wdt:P1889 | Heun's method |
| wdt:P2534 | "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">=</mo><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mstyle displaystyle="false" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow></mstyle></mrow><mi>h</mi><mo maxsize="1.623em" minsize="1.623em">(</mo><mi>f</mi><mo stretchy="false">(</mo><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo>,</mo><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mi>f</mi><mo stretchy="false">(</mo><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow></msub><mo>,</mo><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">)</mo><mo maxsize="1.623em" minsize="1.623em">)</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P31 | implicit Runge–Kutta method |
| Adams–Moulton methods | |
| wdt:P461 | Linear multistep method |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "157033734" |
| wdt:P646 | "/m/0j65w95" |
| wdt:P8558 | "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable columnspacing="1em" rowspacing="4pt" columnalign="center center center "><mtr><mtd class="mwe-math-matrix-right"><mn>0</mn></mtd><mtd class="mwe-math-matrix-left"><mn>0</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd class="mwe-math-matrix-bottom mwe-math-matrix-right"><mn>1</mn></mtd><mtd class="mwe-math-matrix-bottom mwe-math-matrix-left"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow></mtd><mtd class="mwe-math-matrix-bottom"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow></mtd></mtr><mtr><mtd class="mwe-math-matrix-top mwe-math-matrix-right"></mtd><mtd class="mwe-math-matrix-top mwe-math-matrix-left"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow></mtd><mtd class="mwe-math-matrix-top"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow></mtd></mtr></mtable></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
Download as: