Titlebook: Computational Methods in Physics; Compendium for Stude Simon ?irca,Martin Horvat Textbook 20182nd edition Springer International Publishing

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Solving Non-linear Equations,In all areas of physics, mathematics, and engineering, we need to solve non-linear equations.

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Transformations of Functions and Signals,The Fourier transformation . of the function . on the real axis is defined as . The sufficient conditions for the existence of . are that . is absolutely integrable, i.e. ., and that . is piecewise continuous or has a finite number of discontinuities.

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Boundary-Value Problems for ODE,In this chapter we discuss methods for the solution of problems with ordinary differential equations, where we require the solution to satisfy the equation within the definition domain, and boundary conditions at its edges.

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Simon ?irca,Martin HorvatExplains core numerical methods a physicist should know or be aware of.Shows how to control errors, stability, and convergence.Supports learning with comprehensive physics- and engineering-motivated e

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Textbook 20182nd edition?erential equations. The revised text now includes an introduction to sparse matrix methods, the solution of matrix equations, and pseudospectra of matrices; it discusses the sparse Fourier, non-uniform Fourier and discrete wavelet transformations, the basics of non-linear regression and the Kolmogo

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