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  2. PECE - Wikipedia

    en.wikipedia.org/wiki/PECE

    Download QR code; Print/export ... (The E's represent evaluations of the derivative function). [1] This technique is used in the MATLAB function ode113. [2] References

  3. Steffensen's method - Wikipedia

    en.wikipedia.org/wiki/Steffensen's_method

    Since the secant method can carry out twice as many steps in the same time as Steffensen's method, [b] in practical use the secant method actually converges faster than Steffensen's method, when both algorithms succeed: The secant method achieves a factor of about (1.6) 2 ≈ 2.6 times as many digits for every two steps (two function ...

  4. List of finite element software packages - Wikipedia

    en.wikipedia.org/wiki/List_of_finite_element...

    Any user implemented and/or from a set of predefined. Explicit methods: forward Euler, 3rd and 4th order Runge-Kutta. Implicit methods: backward Euler, implicit Midpoint, Crank-Nicolson, SDIRK. Embedded explicit methods: Heun-Euler, Bogacki-Shampine, Dopri, Fehlberg, Cash-Karp.

  5. Rank-index method - Wikipedia

    en.wikipedia.org/wiki/Rank-Index_method

    Download QR code; Print/export Download as PDF; Printable version; In other projects ... a is an allocation for the rank-index method with function r, ...

  6. Nelder–Mead method - Wikipedia

    en.wikipedia.org/wiki/Nelder–Mead_method

    It is a direct search method (based on function comparison) and is often applied to nonlinear optimization problems for which derivatives may not be known. However, the Nelder–Mead technique is a heuristic search method that can converge to non-stationary points [ 1 ] on problems that can be solved by alternative methods.

  7. Describing function - Wikipedia

    en.wikipedia.org/wiki/Describing_function

    It is based on quasi-linearization, which is the approximation of the non-linear system under investigation by a linear time-invariant (LTI) transfer function that depends on the amplitude of the input waveform. By definition, a transfer function of a true LTI system cannot depend on the amplitude of the input function because an LTI system is ...

  8. Powell's method - Wikipedia

    en.wikipedia.org/wiki/Powell's_method

    Powell's method, strictly Powell's conjugate direction method, is an algorithm proposed by Michael J. D. Powell for finding a local minimum of a function. The function need not be differentiable, and no derivatives are taken. The function must be a real-valued function of a fixed number of real-valued inputs. The caller passes in the initial point.

  9. Test functions for optimization - Wikipedia

    en.wikipedia.org/wiki/Test_functions_for...

    The test functions used to evaluate the algorithms for MOP were taken from Deb, [4] Binh et al. [5] and Binh. [6] The software developed by Deb can be downloaded, [ 7 ] which implements the NSGA-II procedure with GAs, or the program posted on Internet, [ 8 ] which implements the NSGA-II procedure with ES.