What is Method: Definition and 1000 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. King_Silver

    Question regarding Newton's Method

    So I know how to do Newton's Method without any trouble, taking a value for n then taking it away from the function divided by the derivative of the function I get that entirely and have done roughly 22-23 examples of it over the past 3-4 days. However I have come across one question regarding...
  2. F

    Method of steepest descent for a quartic oscillator

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  3. thegirl

    Method used to find harmonic functions in complex analysis

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  4. davidbenari

    Matrix method to find coefficients of 1-d S.E.

    I haven't taken a course on quantum mechanics yet, but I was asked to solve (numerically) ##[-\frac{\hbar^2}{2m}\frac{d^2}{dx^2}+V(x)]\phi(x)=E\phi(x) ## ##V(x)=2000(x-0.5)^2## by supposing the solution is ##\sum_{0}^{\infty} a_n \phi_n(x)## and ##\phi_n(x)## is the typical solution to the a...
  5. RJLiberator

    Strength/Weakness of Each Method to Collect Earth data

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  6. W

    Solve Truss Joints Using Method of Joints

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  7. evinda

    MHB How is the Finite Difference Method Applied in Wave Approximation?

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  8. T

    Trying to apply superposition method to circuit, not working

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  9. T

    Runge-Kutta method - Orbital mechanics

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  10. J

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  11. R

    Law of multiple proportions (need method check please)

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  12. ognik

    MHB Learning Lagrange Mesh Method for 1D Schrödinger Eqtn.

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  13. M

    Undetermined coefficient method

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  14. I

    Finite difference method to solve first-order, multivariable

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  15. D

    Determine current and voltage using Node Voltage method

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  16. Y

    Solving ODEs with Heun's Method: A Question

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  17. T

    Finding roots using Newton's method in MATLAB

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  18. evinda

    MHB How to Solve a Boundary Value Problem Using the Finite Difference Method?

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  19. B

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  20. Erikono

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  21. D

    Looking for online videos on QFT using path integral method

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  22. W

    Method for determining error in an equation

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  23. S

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  24. EdajMay

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  25. Sirsh

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  26. Erikono

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  27. mariem.makh

    Fortran FORTRAN Code for Control Volume Finite Element Method Fluid Flow Problems

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  28. davidbenari

    A question related to the method of images and uniqueness theorems

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  29. mester1025

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  30. C

    Atom-Transfer Radical Polymerization: Method Question

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  31. D

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  32. davidbenari

    Two questions related to "classical problem" of the image method

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  33. E

    Variation on the Van Der Pauw method

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  34. TheMathNoob

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  35. N

    Finite Difference Method for non-square grid

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  36. Safinaz

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  37. Julio1

    MHB Method of Characteristic Curves

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  38. J

    Method to distinguish SiO2 and CaCO3

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  39. J

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  40. Shreyas Shree

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  41. G

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  42. S

    MHB Using Component Method to Add Vectors

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  43. ognik

    MHB Please check Frobenius's method

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  44. S

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  45. ChrisVer

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  46. HollyFlame

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  47. duc

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  48. Robin04

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  49. Thor90

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  50. T

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