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Principles of Partial Differential Equations

Posted By: AvaxGenius
Date: 21 Mar 2022 04:28:59
Principles of Partial Differential Equations

Principles of Partial Differential Equations by Alexander Komech
English | PDF(True) | 2009 | 165 Pages | ISBN : 1441910956 | 3.2 MB

This concise book covers the classical tools of PDE theory used in today's science and engineering: characteristics, the wave propagation, the Fourier method, distributions, Sobolev spaces, fundamental solutions, and Green's functions. The approach is problem-oriented, giving the reader an opportunity to master solution techniques.
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Periodic Integral & Pseudodifferential Equations with Numerical Approximation

Posted By: AvaxGenius
Date: 5 Mar 2022 16:46:26
Periodic Integral & Pseudodifferential Equations with Numerical Approximation

Periodic Integral & Pseudodifferential Equations with Numerical Approximation by Jukka Saranen
English | PDF | 2002 | 461 Pages | ISBN : 3540418784 | 29 MB

Classical boundary integral equations arising from the potential theory and acoustics (Laplace and Helmholtz equations) are derived. Using the parametrization of the boundary these equations take a form of periodic pseudodifferential equations. A general theory of periodic pseudodifferential equations and methods of solving are developed, including trigonometric Galerkin and collocation methods, their fully discrete versions with fast solvers, quadrature and spline based methods.
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