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. diegzumillo

    Inverse of method of image charges

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  2. K

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  3. R

    Question about when to use the Variational Method

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  4. C

    Use the Node Voltage method to solve

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  5. M

    Use Euler's method with h=0.05 to find approximate values?

    Homework Statement Use Euler's method with h=0.05 to find approximate values for the solution of the initial-value problem y'=2x^2+3y^2-2, y(2)=1 at x=0.1, 0.2, 0.3. Homework Equations None. The Attempt at a Solution Here's my work: y'=2x^2+3y^2-2, y(2)=1 f(x, y)=2x^2+3y^2-2, x0=2, y0=1...
  6. T

    Another method to silence viruses .

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  7. O

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  8. _N3WTON_

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  9. R

    Any efficient method to find divisors of a number

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  10. C

    MHB Can the Method of Characteristics Solve Complex Traffic Flow Models?

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  11. A

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  12. K

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  13. M

    Determining the velocity of sound in the air by the resonance method

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  14. Feodalherren

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  15. M

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  16. _N3WTON_

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  17. F

    Truss Analysis using joints method 2D analysis

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  18. Y

    Euler's Method to approximate a second order Differential Equation

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  19. H

    Method of Variation of Coefficients

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  20. 4

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  21. F

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  22. R

    What are the method used to know bigger prime

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  23. Lolligirl

    MHB Shortcuts or a proper method for converting a regex to a DFA?

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  24. M

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  25. Telemachus

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  26. avito009

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  27. _N3WTON_

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  28. J

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  29. M

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  30. _N3WTON_

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  31. O

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  32. O

    Node Voltage Method: Solve for v0 in Circuit

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  33. T

    Physics Project using finite method?

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  34. jnbp13

    Easiest Method to Evaluate Imperfect Square Root up to 5 Decimals?

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  35. Chacabucogod

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  36. P

    Frobenius method and Euler equations

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  37. R

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  38. M

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  39. F

    Local Variables in Construct versus in Method Body

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  40. gfd43tg

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  41. gfd43tg

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  42. L

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  43. I

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  44. S

    Maximizing Ultrasonic Wave Production with Magnetostriction Method

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  45. K

    Gradient Descent and Cauchy Method in Differential Equations

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  46. Dethrone

    MHB Volume of Region Bounded by x^2-y^2=16, y=0, x=8, about y-axis

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  47. C

    MHB What statistical method to use for the below problem?

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  49. L

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  50. J

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