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One-step method

In numerical mathematics, one-step methods and multi-step methods are a large group of calculation methods for solving initial value problems. This problem, in which an ordinary differential equation is given together with an initial condition, plays a central role in all natural and engineering sciences and is also becoming increasingly important in the…

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Special procedures and procedure classes

Augustin-Louis CauchyHeun's methodClassical Runge-Kutta methodJohn C. ButcherErnst Hairer
12 related topics

Consistency and convergence

Truncation errorLipschitz-continuousTaylor expansion
3 related topics

Stiffness and A-stability

Joseph O. HirschfelderExponential decayGermund Dahlquist
3 related topics

Practical example: Solving initial value problems with numerical software

MatlabLotka-Volterra equationsPopulations
3 related topics

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Overview

Introduction

Consistency and convergence

Stiffness and A-stability

Special procedures and procedure classes

Practical example: Solving initial value problems with numerical software

Literature

  • ISBN ISBN (identifier)

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One-step method

Nodes53
Edges52
Triples54
Avg. degree1.96
Density0.037736
Components1

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One-step method

Top relations

related to Stiffness and A-stability · 14
One-step method → According, An, Charles Francis Curtiss, Germund Dahlquist, Hirschfelder, However, Joseph, Stiff, Such, Swedish, The, There, They, This
related to Runge-Kutta method · 10
One-step method → An, Euler, First, For, Heun's, In, Phi, Runge-Kutta, The, This
related to Extrapolation method · 8
One-step method → An, However, In, It, Josef Stoer, Roland Bulirsch, Romberg, The
related to Method with step width control · 7
One-step method → For, In, Initial, One, The, Therefore, This
related to Convergence order · 6
One-step method → As, For, In, It, The, With
related to Basic idea of the one-step procedure · 5
One-step method → Both, In, The, This, Under
related to Definition · 3
One-step method → It, Let, With
is a · 1
One-step method → explicit Euler method

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Important terminology

displaystyle method step methods one-step initial value order solution example explicit differential size problems calculated given point equation also numerical

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
One-step methodis aexplicit Euler method0.90text
One-step methodrelated to Basic idea of the one-step procedureIn0.60section
One-step methodrelated to Basic idea of the one-step procedureThis0.60section
One-step methodrelated to Basic idea of the one-step procedureUnder0.60section
One-step methodrelated to Basic idea of the one-step procedureThe0.60section
One-step methodrelated to Basic idea of the one-step procedureBoth0.60section
One-step methodrelated to Convergence orderFor0.60section
One-step methodrelated to Convergence orderAs0.60section
One-step methodrelated to Convergence orderIt0.60section
One-step methodrelated to Convergence orderIn0.60section
One-step methodrelated to Convergence orderThe0.60section
One-step methodrelated to Convergence orderWith0.60section

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