method of equation

  • 121Power series method — In mathematics, the power series method is used to seek a power series solution to certain differential equations. Method Consider the second order linear differential equation: a 2(z)f (z)+a 1(z)f (z)+a 0(z)f(z)=0;!Suppose a 2 is nonzero for all …

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  • 122Newton's method in optimization — A comparison of gradient descent (green) and Newton s method (red) for minimizing a function (with small step sizes). Newton s method uses curvature information to take a more direct route. In mathematics, Newton s method is an iterative method… …

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  • 123Electric field integral equation — The electric field integral equation is a relationship that allows one to calculate the electric field intensity E generated by an electric current distribution J .DerivationWe consider all quantities in the frequency domain, and so assume a time …

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  • 124Wave equation analysis — is a numerical method of analysis for the behavior of driven foundation piles. It predicts the pile capacity versus blow count relationship (bearing graph) and pile driving stress. The model mathematically represents the pile driving hammer and… …

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  • 125Lyapunov equation — In control theory, the discrete Lyapunov equation is of the form:A X A^H X + Q = 0where Q is a hermitian matrix. The continuous Lyapunov equation is of form:AX + XA^H + Q = 0.The Lyapunov equation occurs in many branches of control theory, such… …

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  • 126Cutting-plane method — In mathematical optimization, the cutting plane method is an umbrella term for optimization methods which iteratively refine a feasible set or objective function by means of linear inequalities, termed cuts. Such procedures are popularly used to… …

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  • 127Transcendental equation — A transcendental equation is an equation containing a transcendental function. Examples of such an equation are:x = e^{ x} :x = sin (x) olution methodsSome methods of finding solutions to a transcendental equation use graphical or numerical… …

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  • 128Additive Schwarz method — In mathematics, the additive Schwarz method, named after Hermann Schwarz, solves a boundary value problem for a partial differential equation approximately by splitting it into boundary value problems on smaller domains and adding the results.… …

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