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  2. Initial value problem - Wikipedia

    en.wikipedia.org/wiki/Initial_value_problem

    In multivariable calculus, an initial value problem [a] (IVP) is an ordinary differential equation together with an initial condition which specifies the value of the unknown function at a given point in the domain. Modeling a system in physics or other sciences frequently amounts to solving an initial value problem.

  3. Symbolab - Wikipedia

    en.wikipedia.org/wiki/Symbolab

    Symbolab is an answer engine [1] that provides step-by-step solutions to mathematical problems in a range of subjects. [2] It was originally developed by Israeli start-up company EqsQuest Ltd., under whom it was released for public use in 2011. In 2020, the company was acquired by American educational technology website Course Hero. [3] [4]

  4. Midpoint method - Wikipedia

    en.wikipedia.org/wiki/Midpoint_method

    The step size is = The same illustration for = It is seen that the midpoint method converges faster than the Euler method. The midpoint method is a refinement of the Euler method + = + (,), and is derived in a similar manner.

  5. Euler method - Wikipedia

    en.wikipedia.org/wiki/Euler_method

    This differs from the (standard, or forward) Euler method in that the function is evaluated at the end point of the step, instead of the starting point. The backward Euler method is an implicit method , meaning that the formula for the backward Euler method has y n + 1 {\displaystyle y_{n+1}} on both sides, so when applying the backward Euler ...

  6. GeoGebra - Wikipedia

    en.wikipedia.org/wiki/GeoGebra

    GeoGebra (a portmanteau of geometry and algebra) is an interactive geometry, algebra, statistics and calculus application, intended for learning and teaching mathematics and science from primary school to university level.

  7. Direct multiple shooting method - Wikipedia

    en.wikipedia.org/wiki/Direct_multiple_shooting...

    The boundary value problem solver's performance suffers from this. Even stable and well-conditioned ODEs may make for unstable and ill-conditioned BVPs. A slight alteration of the initial value guess y 0 may generate an extremely large step in the ODEs solution y(t b; t a, y 0) and thus in the values of the function F whose root is sought. Non ...

  8. Mathematical visualization - Wikipedia

    en.wikipedia.org/wiki/Mathematical_visualization

    Mathematical visualization is used throughout mathematics, particularly in the fields of geometry and analysis. Notable examples include plane curves , space curves , polyhedra , ordinary differential equations , partial differential equations (particularly numerical solutions, as in fluid dynamics or minimal surfaces such as soap films ...

  9. Riemann problem - Wikipedia

    en.wikipedia.org/wiki/Riemann_problem

    A Riemann problem, named after Bernhard Riemann, is a specific initial value problem composed of a conservation equation together with piecewise constant initial data which has a single discontinuity in the domain of interest.