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  • Partial fraction decomposition - Wikipedia
    In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is, a fraction such that the numerator and the denominator are both polynomials) is an operation that consists of expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions with a simpler denominator
  • Heaviside cover-up method - Wikipedia
    Separation of a fractional algebraic expression into partial fractions is the reverse of the process of combining fractions by converting each fraction to the lowest common denominator (LCD) and adding the numerators This separation can be accomplished by the Heaviside cover-up method, another method for determining the coefficients of a partial fraction Case one has fractional expressions
  • Split-step method - Wikipedia
    Split-step method In numerical analysis, the split-step Fourier method is a pseudo-spectral numerical method used to solve nonlinear partial differential equations like the nonlinear Schrödinger equation The name arises for two reasons
  • Solving quadratic equations with continued fractions - Wikipedia
    Solving quadratic equations with continued fractions In mathematics, a quadratic equation is a polynomial equation of the second degree The general form is where a ≠ 0 The quadratic equation on a number can be solved using the well-known quadratic formula, which can be derived by completing the square
  • Separation of variables - Wikipedia
    In mathematics, separation of variables (also known as the Fourier method) is any of several methods for solving ordinary and partial differential equations, in which algebra allows one to rewrite an equation so that each of two variables occurs on a different side of the equation
  • Explicit and implicit methods - Wikipedia
    For such problems, to achieve given accuracy, it takes much less computational time to use an implicit method with larger time steps, even taking into account that one needs to solve an equation of the form (1) at each time step That said, whether one should use an explicit or implicit method depends upon the problem to be solved


















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