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    https://sophisticatedspectra.com/article/drosia-serenity-a-modern-oasis-in-the-heart-of-larnaca.2521391.html

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    Mathematical Methods in Optimization of Differential Systems

    Posted By: AvaxGenius
    Mathematical Methods in Optimization of Differential Systems

    Mathematical Methods in Optimization of Differential Systems by Viorel Barbu
    English | PDF | 1994 | 271 Pages | ISBN : 0792331761 | 16.4 MB

    This work is a revised and enlarged edition of a book with the same title published in Romanian by the Publishing House of the Romanian Academy in 1989. It grew out of lecture notes for a graduate course given by the author at the University if Ia~i and was initially intended for students and readers primarily interested in applications of optimal control of ordinary differential equations. In this vision the book had to contain an elementary description of the Pontryagin maximum principle and a large number of examples and applications from various fields of science. The evolution of control science in the last decades has shown that its meth­ ods and tools are drawn from a large spectrum of mathematical results which go beyond the classical theory of ordinary differential equations and real analy­ ses. Mathematical areas such as functional analysis, topology, partial differential equations and infinite dimensional dynamical systems, geometry, played and will continue to play an increasing role in the development of the control sciences. On the other hand, control problems is a rich source of deep mathematical problems. Any presentation of control theory which for the sake of accessibility ignores these facts is incomplete and unable to attain its goals.

    Averaging Methods in Nonlinear Dynamical Systems (Repost)

    Posted By: AvaxGenius
    Averaging Methods in Nonlinear Dynamical Systems (Repost)

    Averaging Methods in Nonlinear Dynamical Systems by Jan A. Sanders
    English | PDF | 2007 | 446 Pages | ISBN : 0387489169 | 3.7 MB

    Perturbation theory and in particular normal form theory has shown strong growth during the last decades. So it is not surprising that the authors have presented an extensive revision of the first edition of the Averaging Methods in Nonlinear Dynamical Systems book. There are many changes, corrections and updates in chapters on Basic Material and Asymptotics, Averaging, and Attraction. Chapters on Periodic Averaging and Hyperbolicity, Classical (first level) Normal Form Theory, Nilpotent (classical) Normal Form, and Higher Level Normal Form Theory are entirely new and represent new insights in averaging, in particular its relation with dynamical systems and the theory of normal forms. Also new are surveys on invariant manifolds in Appendix C and averaging for PDEs in Appendix E. Since the first edition, the book has expanded in length and the third author, James Murdock has been added.

    Applications of Symmetry Methods to Partial Differential Equations (Applied Mathematical Sciences)

    Posted By: AvaxGenius
    Applications of Symmetry Methods to Partial Differential Equations (Applied Mathematical Sciences)

    Applications of Symmetry Methods to Partial Differential Equations by George W. Bluman
    English | PDF(True) | 2010 | 415 Pages | ISBN : 038798612X | 1.9 MB

    This is an accessible book on advanced symmetry methods for partial differential equations. Topics include conservation laws, local symmetries, higher-order symmetries, contact transformations, delete "adjoint symmetries," Noether’s theorem, local mappings, nonlocally related PDE systems, potential symmetries, nonlocal symmetries, nonlocal conservation laws, nonlocal mappings, and the nonclassical method. Graduate students and researchers in mathematics, physics, and engineering will find this book useful.

    Principles of Partial Differential Equations

    Posted By: AvaxGenius
    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.

    Phase Space Analysis of Partial Differential Equations

    Posted By: AvaxGenius
    Phase Space Analysis of Partial Differential Equations

    Phase Space Analysis of Partial Differential Equations by Antonio Bove
    English | PDF | 2006 | 356 Pages | ISBN : 081764511X | 3.1 MB

    This collection of original articles and surveys treats linear and nonlinear aspects of the theory of partial differential equations. Phase space analysis methods, also known as microlocal analysis, have yielded striking results over the past years and have become one of the main tools of investigation. Equally important is their role in many applications to physics, for example, in quantum and spectral theory.

    Analytic Methods in the Theory of Differential and Pseudo-Differential Equations of Parabolic Type

    Posted By: AvaxGenius
    Analytic Methods in the Theory of Differential and Pseudo-Differential Equations of Parabolic Type

    Analytic Methods in the Theory of Differential and Pseudo-Differential Equations of Parabolic Type by Samuil D. Eidelman
    English | PDF | 2004 | 395 Pages | ISBN : 3034895925 | 26.9 MB

    The theory of parabolic equations, a well-developed part of the contemporary partial differential equations and mathematical physics, is the subject theory of of an immense research activity. A continuing interest in parabolic equations is caused both by the depth and complexity of mathematical problems emerging here, and by its importance in specific applied problems of natural science, technology, and economics.

    Differential Quadrature and Its Application in Engineering

    Posted By: AvaxGenius
    Differential Quadrature and Its Application in Engineering

    Differential Quadrature and Its Application in Engineering by Chang Shu
    English | PDF | 2000 | 356 Pages | ISBN : 144711132X | 26.1 MB

    In the past few years, the differential quadrature method has been applied extensively in engineering. This book, aimed primarily at practising engineers, scientists and graduate students, gives a systematic description of the mathematical fundamentals of differential quadrature and its detailed implementation in solving Helmholtz problems and problems of flow, structure and vibration.

    Stochastic Ordinary and Stochastic Partial Differential Equations: Transition from Microscopic to Macroscopic Equations

    Posted By: AvaxGenius
    Stochastic Ordinary and Stochastic Partial Differential Equations: Transition from Microscopic to Macroscopic Equations

    Stochastic Ordinary and Stochastic Partial Differential Equations: Transition from Microscopic to Macroscopic Equations by Peter Kotelenez
    English | PDF | 2008 | 449 Pages | ISBN : 0387743162 | 3.9 MB

    This book provides the first rigorous derivation of mesoscopic and macroscopic equations from a deterministic system of microscopic equations. The microscopic equations are cast in the form of a deterministic (Newtonian) system of coupled nonlinear oscillators for N large particles and infinitely many small particles. The mesoscopic equations are stochastic ordinary differential equations (SODEs) and stochastic partial differential equatuions (SPDEs), and the macroscopic limit is described by a parabolic partial differential equation.

    Wave Propagation and Time Reversal in Randomly Layered Media

    Posted By: AvaxGenius
    Wave Propagation and Time Reversal in Randomly Layered Media

    Wave Propagation and Time Reversal in Randomly Layered Media by Jean-Pierre Fouque
    English | PDF | 2007 | 623 Pages | ISBN : 0387308903 | 16.3 MB

    Wave propagation in random media is an interdisciplinary field that has emerged from the need in physics and engineering to model and analyze wave energy transport in complex environments.

    Advanced Topics in Computational Partial Differential Equations: Numerical Methods and Diffpack Programming

    Posted By: AvaxGenius
    Advanced Topics in Computational Partial Differential Equations: Numerical Methods and Diffpack Programming

    Advanced Topics in Computational Partial Differential Equations: Numerical Methods and Diffpack Programming by Hans Petter Langtangen
    English | PDF | 2003 | 676 Pages | ISBN : 3540014381 | 56.9 MB

    The book is suitable for readers with a background in basic finite element and finite difference methods for partial differential equations who wants gentle introductions to advanced topics like parallel computing, multigrid methods, and special methods for systems of PDEs. The goal of all chapters is to *compute* solutions to problems, hence algorithmic and software issues play a central role.

    Recent Developments in Domain Decomposition Methods

    Posted By: AvaxGenius
    Recent Developments in Domain Decomposition Methods

    Recent Developments in Domain Decomposition Methods by Luca F. Pavarino
    English | PDF | 2002 | 255 Pages | ISBN : 3540434135 | 20.5 MB

    This volume collects some of the papers presented at the Workshop on Do- main Decompositionheld at ETH, Zurich,on June 7-8th 2001.The Workshop was organized by Luca F. Pavarino (University of Milan), Christoph Schwab (ETH Zurich), Andrea Toselli (ETH Zurich), and OlofB. Widlund (Courant Institute of Mathematical Sciences). Our sponsors were the University of Milan, Department of Mathematics (MURST projects: "Calcolo Scientifico: modelli e metodi numerici innovativi" and "Simmetrie, forme geometriche, evoluzione e memoria nelle equazioni alle derivate parziali"), the Seminar for Applied Mathematics, ETH Zurich, and the Program on Computational Science and Engineering at ETH Zurich.

    Higher Order Partial Differential Equations in Clifford Analysis: Effective Solutions to Problems

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    Higher Order Partial Differential Equations in Clifford Analysis: Effective Solutions to Problems

    Higher Order Partial Differential Equations in Clifford Analysis: Effective Solutions to Problems by Elena Obolashvili
    English | PDF | 2003 | 183 Pages | ISBN : 0817642862 | 9.58 MB

    The most important thing is to write equations in a beautiful form and their success in applications is ensured. Paul Dirac The uniqueness and existence theorems for the solutions of boundary and initial value problems for systems of high-order partial differential equations (PDE) are sufficiently well known.

    Mathematical Methods in Physics: Distributions, Hilbert Space Operators, and Variational Methods

    Posted By: AvaxGenius
    Mathematical Methods in Physics: Distributions, Hilbert Space Operators, and Variational Methods

    Mathematical Methods in Physics: Distributions, Hilbert Space Operators, and Variational Methods by Philippe Blanchard
    English | PDF | 2003 | 469 Pages | ISBN : 1461265894 | 38.8 MB

    Physics has long been regarded as a wellspring of mathematical problems. Mathematical Methods in Physics is a self-contained presentation, driven by historic motivations, excellent examples, detailed proofs, and a focus on those parts of mathematics that are needed in more ambitious courses on quantum mechanics and classical and quantum field theory. A comprehensive bibliography and index round out the work.