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Green's functions and boundary value problems by Stakgold I., Holst M.

Green's functions and boundary value problems Stakgold I., Holst M. ebook
Page: 880
Publisher: Wiley
Format: djvu
ISBN: 0470609702, 9780470609705

Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green's theorems. Complex variables: Analytic functions, Cauchy's integral theorem and integral formula,Taylor's and Laurent' series, Residue theorem, solution integrals. Differential equations with constant coefficients, Method of variation of parameters, Cauchy's and Euler's equations, Initial and boundary value problems, Partial Differential Equations and variable separable method. We proceed by representing operators as noncommutative polynomials, using as indeterminates basic operators like differentiation, integration, and boundary evaluation. 2-port network parameters: driving point and transfer functions. Strum-Liouville problem, eigenfunction expansions, Green's functions and boundary value problems for partial differential equations, group theory, tensor analysis, approximation techniques. The crucial step for solving the boundary value problem is to understand the desired Green's operator as an oblique Moore-Penrose inverse. Harmonic functions satisfy {\Delta u=0} at inner vertices. Boundary Value Problems of Mathematical Physics (2 vol. Boundary Value Problems of Mathematical. Download Boundary Value Problems of Mathematical Physics 2 Volume. First order equation (linear and nonlinear), Higher order linear differential equations with constant coefficients, Method of variation of parameters, Cauchy's and Euler's equations, Initial and boundary value problems, Partial Differential Equations and variable separable method. \displaystyle \begin{array}{rcl} E(u)=\. Our approach works directly on the level of operators and does not transform the problem to a functional setting for determining the Green's function.