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georgiev s numerical analysis time scales 2022

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Textbook in PDF format Mathematical models cannot be solved using the traditional analytical methods for dynamic equations on time scales. These models must be dealt with using computational methods. This textbook introduces numerical methods for initial value problems for dynamic equations on time scales. Hands-on examples utilizing MATLAB and practical problems illustrate a wide variety of solution techniques. Preface Polynomial interpolation Numerical integration Piecewise polynomial approximation The Euler method The order 2 Taylor series method – TS(2) The order p Taylor series method – TS (p) Linear multistep methods – LMMs Runge–Kutta methods – RKMs The series solution method – SSM The Adomian polynomials method Weak solutions and variational methods for some classes of linear first-order dynamic systems Variational methods for nonlinear dynamic equations Rolle’s theorem Fréchet and Gâteaux derivatives Pötzsche’s chain rules Lebesgue integration. Lp-spaces. Sobolev spaces Mazur’s theorem Bibliography Index

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Georgiev S. Numerical Analysis on Time Scales 2022.pdf 5.9 MB

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georgiev s numerical analysis time scales 2022

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