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  2. Adaptive step size - Wikipedia

    en.wikipedia.org/wiki/Adaptive_step_size

    Adaptive step size. In mathematics and numerical analysis, an adaptive step size is used in some methods for the numerical solution of ordinary differential equations (including the special case of numerical integration) in order to control the errors of the method and to ensure stability properties such as A-stability.

  3. Euler method - Wikipedia

    en.wikipedia.org/wiki/Euler_method

    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 first proposed it in his book Institutionum calculi integralis (published 1768–1770). [1]

  4. Lis (linear algebra library) - Wikipedia

    en.wikipedia.org/wiki/Lis_(linear_algebra_library)

    Lis ( Library of Iterative Solvers for linear systems, pronounced [lis]) is a scalable parallel software library for solving discretized linear equations and eigenvalue problems that mainly arise in the numerical solution of partial differential equations by using iterative methods. [1] [2] [3] Although it is designed for parallel computers ...

  5. Timeline of algebra - Wikipedia

    en.wikipedia.org/wiki/Timeline_of_algebra

    The following is a timeline of key developments of algebra : Year. Event. c. 1800 BC. The Old Babylonian Strassburg tablet seeks the solution of a quadratic elliptic equation. [citation needed] c. 1800 BC. The Plimpton 322 tablet gives a table of Pythagorean triples in Babylonian Cuneiform script. [1] 1800 BC.

  6. Homological algebra - Wikipedia

    en.wikipedia.org/wiki/Homological_algebra

    Homological algebra is the branch of mathematics that studies homology in a general algebraic setting. It is a relatively young discipline, whose origins can be traced to investigations in combinatorial topology (a precursor to algebraic topology ) and abstract algebra (theory of modules and syzygies ) at the end of the 19th century, chiefly by ...

  7. Resolution (algebra) - Wikipedia

    en.wikipedia.org/wiki/Resolution_(algebra)

    Resolution (algebra) In mathematics, and more specifically in homological algebra, a resolution (or left resolution; dually a coresolution or right resolution [1]) is an exact sequence of modules (or, more generally, of objects of an abelian category) that is used to define invariants characterizing the structure of a specific module or object ...

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