Method Definition and 14 Discussions

In mathematics and computational science, the Euler method (also called forward Euler method) is a first-order numerical procedure for solving ordinary differential equations (ODEs) with a given initial value. It is the most basic explicit method for numerical integration of ordinary differential equations and is the simplest Runge–Kutta method. The Euler method is named after Leonhard Euler, who treated it in his book Institutionum calculi integralis (published 1768–1870).The Euler method is a first-order method, which means that the local error (error per step) is proportional to the square of the step size, and the global error (error at a given time) is proportional to the step size.
The Euler method often serves as the basis to construct more complex methods, e.g., predictor–corrector method.

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  1. D

    Euler Method in C++

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  2. H

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  3. donaldparida

    B Methods of integration: direct and indirect substitution

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    • donaldparida
    • Thread
    • calc 1 concept indefinite integral method substitution
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    • Forum: Calculus
  4. S

    Operational State of a Bulb

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  5. W

    Complex Solutions to Oscillations

    Homework Statement Homework Equations The Attempt at a Solution I tried differentiating both sides of 3 and re-arranging it such that it started to look like equation 2, however i got stuck with 2 first order terms z' and couldn't find a way to manipulate it into a function z. I then...
  6. S

    MATLAB Separation of variables in MATLAB

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  7. Rocky_Tseng

    Intro Physics Is there a book about how to do research in Physics?

    Is there a book about how to do research in Physics or Physicist's experience? especially in Astrophysics, if not, general physics is also very good. thanks.
  8. S

    Root-Finding method in MATLAB

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  9. B

    List of quantitative methods for optimization

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    • Bobishere
    • Thread
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    • Forum: General Math
  10. Y

    Finding the maximum value of a function

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  11. M

    Calc II - Disk vs Shell method different volumes

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  12. Y

    Heun's method question

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  13. B

    Abaqus 6.14 CAE - Imperfection Study

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  14. S

    Frobenius method for Hermite Equation

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