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  2. Dormand–Prince method - Wikipedia

    en.wikipedia.org/wiki/Dormand–Prince_method

    Dormand–Prince is the default method in the ode45 solver for MATLAB [4] and GNU Octave [5] and is the default choice for the Simulink's model explorer solver. It is an option in Python's SciPy ODE integration library [6] and in Julia's ODE solvers library. [7]

  3. One-step method - Wikipedia

    en.wikipedia.org/wiki/One-step_method

    The Matlab function ode45 implements a one-step method that uses two embedded explicit Runge-Kutta methods with convergence orders 4 and 5 for step size control. [29] The solution can now be plotted, as a blue curve and as a red curve; the calculated points are marked by small circles:

  4. List of open-source software for mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_open-source...

    Octave (aka GNU Octave) is an alternative to MATLAB. Originally conceived in 1988 by John W. Eaton as a companion software for an undergraduate textbook, Eaton later opted to modify it into a more flexible tool. Development begun in 1992 and the alpha version was released in 1993. Subsequently, version 1.0 was released a year after that in 1994.

  5. MATLAB - Wikipedia

    en.wikipedia.org/wiki/MATLAB

    MATLAB (an abbreviation of "MATrix LABoratory" [22]) is a proprietary multi-paradigm programming language and numeric computing environment developed by MathWorks.MATLAB allows matrix manipulations, plotting of functions and data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in other languages.

  6. Cash–Karp method - Wikipedia

    en.wikipedia.org/wiki/Cash–Karp_method

    Main page; Contents; Current events; Random article; About Wikipedia; Contact us; Help; Learn to edit; Community portal; Recent changes; Upload file

  7. Shooting method - Wikipedia

    en.wikipedia.org/wiki/Shooting_method

    In numerical analysis, the shooting method is a method for solving a boundary value problem by reducing it to an initial value problem.It involves finding solutions to the initial value problem for different initial conditions until one finds the solution that also satisfies the boundary conditions of the boundary value problem.

  8. Codes for electromagnetic scattering by spheres - Wikipedia

    en.wikipedia.org/wiki/Codes_for_electromagnetic...

    "Mie solutions" (infinite series) to scattering, absorption and phase function of electromagnetic waves by a homogeneous concentring shells. 1997 BART [12] A. Quirantes [13] Fortran: Open source (own license) Based on the Aden–Kerker theory to calculate light-scattering properties for coated spherical particles 2004 MjcLscCoatSph [14] M. Jonasz

  9. Heaviside step function - Wikipedia

    en.wikipedia.org/wiki/Heaviside_step_function

    The Heaviside step function, or the unit step function, usually denoted by H or θ (but sometimes u, 1 or 𝟙), is a step function named after Oliver Heaviside, the value of which is zero for negative arguments and one for positive arguments. Different conventions concerning the value H(0) are in use.