Tag: Partial

Free Download Partial Differential Equations – Comprehensive Course
Last updated 10/2023
MP4 | Video: h264, 1920×1080 | Audio: AAC, 44.1 KHz
Language: English | Size: 16.29 GB | Duration: 17h 4m
PDE solved by Fourier Transform, Fourier Series, method of separation of variables + section on uncertainty principle

Free Download Partial Differential Equations and Calculus of Variations by Stefan Hildebrandt, Rolf Leis
English | PDF | 1988 | 429 Pages | ISBN : 3540505083 | 25.3 MB
This volume contains 18 invited papers by members and guests of the former Sonderforschungsbereich in Bonn (SFB 72) who, over the years, collaborated on the research group "Solution of PDE’s and Calculus of Variations". The emphasis is on existence and regularity results, on special equations of mathematical physics and on scattering theory.

Free Download Calculus of Variations and Nonlinear Partial Differential Equations: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 27 – July 2, 2005 by Luigi Ambrosio , Luis Caffarelli , Michael G. Crandall , Lawrence C. Evans , Nicola Fusco
English | PDF | 2008 | 213 Pages | ISBN : 3540759131 | 2.9 MB
This volume provides the texts of lectures given by L. Ambrosio, L. Caffarelli, M. Crandall, L.C. Evans, N. Fusco at the Summer course held in Cetraro (Italy) in 2005. These are introductory reports on current research by world leaders in the fields of calculus of variations and partial differential equations. The topics discussed are transport equations for nonsmooth vector fields, homogenization, viscosity methods for the infinite Laplacian, weak KAM theory and geometrical aspects of symmetrization. A historical overview of all CIME courses on the calculus of variations and partial differential equations is contributed by Elvira Mascolo.

Free Download Peter Markowich, "Applied Partial Differential Equations:: A Visual Approach"
English | 2006 | pages: 210 | ISBN: 3540346457, 3662518120 | PDF | 17,5 mb
This book presents topics of science and engineering which occur in nature or are part of daily life. It describes phenomena which are modelled by partial differential equations, relating to physical variables like mass, velocity and energy, etc. to their spatial and temporal variations. The author has chosen topics representing his career-long interests, including the flow of fluids and gases, granular flows, biological processes like pattern formation on animal skins, kinetics of rarified gases and semiconductor devices. Each topic is presented in its scientific or engineering context, followed by an introduction of applicable mathematical models in the form of partial differential equations.

Free Download Partial Discharges (PD)
by Pattanadech, Norasage;Haller, Rainer;Kornhuber, Stefan;Muhr, Michael;
English | 2023 | ISBN: 1119568455 | 339 pages | True PDF | 16.36 MB
PARTIAL DISCHARGES (PD) ― DETECTION, IDENTIFICATION AND LOCALIZATION

Free Download Partial Differential Equations (238 Pages)
by Osamu Sano
English | 2023 | ISBN: 9811270880 | 239 pages | True PDF | 20.08 MB
Quite a number of phenomena in science and technology, industrial and/or agricultural production and transport, medical and/or biological flows and movements, social and/or economical developments, etc., depend on many variables, and are very much complicated. Although the detailed knowledge is accumulated in respective fields, it is meaningful to model and analyze the essential part of the phenomena in terms of smaller number of variables, which falls into partial differential equations. This book aims at providing students and researchers the basic ideas and the methods to solve problems in various fields. Particular attention is paid to bridge the gap between mathematics and the real world. To do this, we start from a simple system with intuitively understandable physical background, extract the essential part, formulate into mathematical tools, and then generalize for further application. Here logical thinking in depth and wide linking to various fields are sought to construct intellectual network.

Free Download Multiplicative Partial Differential Equations
by Svetlin G. Georgiev
English | 2023 | ISBN: 1032575034 | 269 pages | True PDF | 3.62 MB
This book presents an introduction to the theory of multiplicative partial differential equations (MPDEs). It is suitable for all types of basic courses on MPDEs. The author’s aim is to present a clear and well-organized treatment of the concept behind the development of mathematics and solution techniques. The text material of this book is presented in highly readable, mathematically solid format. Many practical problems are illustrated displaying a wide variety of solution techniques.

Free Download Delay Ordinary and Partial Differential Equations
by Andrei D. Polyanin
English | 2023 | ISBN: 0367486911 | 434 pages | True PDF | 5.14 MB
Delay Ordinary and Partial Differential Equations is devoted to linear and nonlinear ordinary and partial differential equations with constant and variable delay. It considers qualitative features of delay differential equations and formulates typical problem statements. Exact, approximate analytical and numerical methods for solving such equations are described, including the method of steps, methods of integral transformations, method of regular expansion in a small parameter, method of matched asymptotic expansions, iteration-type methods, Adomian decomposition method, collocation method, Galerkin-type projection methods, Euler and Runge-Kutta methods, shooting method, method of lines, finite-difference methods for PDEs, methods of generalized and functional separation of variables, method of functional constraints, method of generating equations, and more. The presentation of the theoretical material is accompanied by examples of the practical application of methods to obtain the desired solutions. Exact solutions are constructed for many nonlinear delay reaction-diffusion and wave-type PDEs that depend on one or more arbitrary functions. A review is given of the most common mathematical models with delay used in population theory, biology, medicine, economics, and other applications. The book contains much new material previously unpublished in monographs. It is intended for a broad audience of scientists, university professors, and graduate and postgraduate students specializing in applied and computational mathematics, mathematical physics, mechanics, control theory, biology, medicine, chemical technology, ecology, economics, and other disciplines. Individual sections of the book and examples are suitable for lecture courses on applied mathematics, mathematical physics, and differential equations for delivering special courses and for practical training.