Nonlinear Partial Differential Equations in Engineering

Numerical Solution of Partial Differential Equations in Science and Engineering  eBooks & eLearning

Posted by AvaxGenius at Oct. 17, 2022
Numerical Solution of Partial Differential Equations in Science and Engineering

Numerical Solution of Partial Differential Equations in Science and Engineering by Leon Lapidus, George F. Pinder
English | PDF | 1999 | 690 Pages | ISBN : 0471098663 | 23.4 MB

From the reviews of Numerical Solution of Partial Differential Equations in Science and Engineering:
"The book by Lapidus and Pinder is a very comprehensive, even exhaustive, survey of the subject . . . [It] is unique in that it covers equally finite difference and finite element methods."
Burrelle's

Partial Differential Equations: New Methods for Their Treatment and Solution  eBooks & eLearning

Posted by AvaxGenius at July 12, 2024
Partial Differential Equations: New Methods for Their Treatment and Solution

Partial Differential Equations: New Methods for Their Treatment and Solution by Richard Bellman , George Adomian
English | PDF | 1985 | 306 Pages | ISBN : 9027716811 | 17 MB

The purpose of this book is to present some new methods in the treatment of partial differential equations. Some of these methods lead to effective numerical algorithms when combined with the digital computer. Also presented is a useful chapter on Green's functions which generalizes, after an introduction, to new methods of obtaining Green's functions for partial differential operators. Finally some very new material is presented on solving partial differential equations by Adomian's decomposition methodology. This method can yield realistic computable solutions for linear or non­ linear cases even for strong nonlinearities, and also for deterministic or stochastic cases - again even if strong stochasticity is involved. Some interesting examples are discussed here and are to be followed by a book dealing with frontier applications in physics and engineering. In Chapter I, it is shown that a use of positive operators can lead to monotone convergence for various classes of nonlinear partial differential equations. In Chapter II, the utility of conservation technique is shown. These techniques are suggested by physical principles. In Chapter III, it is shown that dyn~mic programming applied to variational problems leads to interesting classes of nonlinear partial differential equations. In Chapter IV, this is investigated in greater detail. In Chapter V, we show. that the use of a transformation suggested by dynamic programming leads to a new method of successive approximations.

Partial Differential Equations: New Methods for Their Treatment and Solution  eBooks & eLearning

Posted by AvaxGenius at July 12, 2024
Partial Differential Equations: New Methods for Their Treatment and Solution

Partial Differential Equations: New Methods for Their Treatment and Solution by Richard Bellman , George Adomian
English | PDF | 1985 | 306 Pages | ISBN : 9027716811 | 17 MB

The purpose of this book is to present some new methods in the treatment of partial differential equations. Some of these methods lead to effective numerical algorithms when combined with the digital computer. Also presented is a useful chapter on Green's functions which generalizes, after an introduction, to new methods of obtaining Green's functions for partial differential operators. Finally some very new material is presented on solving partial differential equations by Adomian's decomposition methodology. This method can yield realistic computable solutions for linear or non­ linear cases even for strong nonlinearities, and also for deterministic or stochastic cases - again even if strong stochasticity is involved. Some interesting examples are discussed here and are to be followed by a book dealing with frontier applications in physics and engineering. In Chapter I, it is shown that a use of positive operators can lead to monotone convergence for various classes of nonlinear partial differential equations. In Chapter II, the utility of conservation technique is shown. These techniques are suggested by physical principles. In Chapter III, it is shown that dyn~mic programming applied to variational problems leads to interesting classes of nonlinear partial differential equations. In Chapter IV, this is investigated in greater detail. In Chapter V, we show. that the use of a transformation suggested by dynamic programming leads to a new method of successive approximations.

Partial Differential Equations: New Methods for Their Treatment and Solution  eBooks & eLearning

Posted by AvaxGenius at July 12, 2024
Partial Differential Equations: New Methods for Their Treatment and Solution

Partial Differential Equations: New Methods for Their Treatment and Solution by Richard Bellman , George Adomian
English | PDF | 1985 | 306 Pages | ISBN : 9027716811 | 17 MB

The purpose of this book is to present some new methods in the treatment of partial differential equations. Some of these methods lead to effective numerical algorithms when combined with the digital computer. Also presented is a useful chapter on Green's functions which generalizes, after an introduction, to new methods of obtaining Green's functions for partial differential operators. Finally some very new material is presented on solving partial differential equations by Adomian's decomposition methodology. This method can yield realistic computable solutions for linear or non­ linear cases even for strong nonlinearities, and also for deterministic or stochastic cases - again even if strong stochasticity is involved. Some interesting examples are discussed here and are to be followed by a book dealing with frontier applications in physics and engineering. In Chapter I, it is shown that a use of positive operators can lead to monotone convergence for various classes of nonlinear partial differential equations. In Chapter II, the utility of conservation technique is shown. These techniques are suggested by physical principles. In Chapter III, it is shown that dyn~mic programming applied to variational problems leads to interesting classes of nonlinear partial differential equations. In Chapter IV, this is investigated in greater detail. In Chapter V, we show. that the use of a transformation suggested by dynamic programming leads to a new method of successive approximations.

Select Ideas in Partial Differential Equations  eBooks & eLearning

Posted by yoyoloit at July 4, 2021
Select Ideas in Partial Differential Equations

Select Ideas in Partial Differential Equations
by Costa, Peter

English | 2021 | ISBN: 9781636390956 | 234 pages | PDF | 10.04 MB
Systems of Nonlinear Partial Differential Equations: Applications to Biology and Engineering

A.W. Leung, "Systems of Nonlinear Partial Differential Equations: Applications to Biology and Engineering"
English | 1989 | ISBN: 0792301382 | DJVU | pages: 422 | 2.8 mb

Handbook of Nonlinear Partial Differential Equations  eBooks & eLearning

Posted by insetes at July 23, 2019
Handbook of Nonlinear Partial Differential Equations

Handbook of Nonlinear Partial Differential Equations By Polyanin A.D., Zaitsev V.F.
2003 | 821 Pages | ISBN: 1584883553 | PDF | 5 MB

Nonlinear Partial Differential Equations for Scientists and Engineers  eBooks & eLearning

Posted by insetes at April 28, 2019
Nonlinear Partial Differential Equations for Scientists and Engineers

Nonlinear Partial Differential Equations for Scientists and Engineers By Lokenath Debnath (auth.)
2012 | 860 Pages | ISBN: 0817682643 | PDF | 7 MB

Reduced Basis Methods for Partial Differential Equations: An Introduction (Repost)  eBooks & eLearning

Posted by AvaxGenius at Oct. 21, 2023
Reduced Basis Methods for Partial Differential Equations: An Introduction (Repost)

Reduced Basis Methods for Partial Differential Equations: An Introduction by Alfio Quarteroni , Andrea Manzoni , Federico Negri
English | PDF (True) | 2016 | 305 Pages | ISBN : 3319154303 | 2.7 MB

This book provides a basic introduction to reduced basis (RB) methods for problems involving the repeated solution of partial differential equations (PDEs) arising from engineering and applied sciences, such as PDEs depending on several parameters and PDE-constrained optimization.

Hyperbolic Partial Differential Equations: Theory, Numerics and Applications (Repost)  eBooks & eLearning

Posted by AvaxGenius at May 17, 2024
Hyperbolic Partial Differential Equations: Theory, Numerics and Applications (Repost)

Hyperbolic Partial Differential Equations: Theory, Numerics and Applications by Andreas Meister , Jens Struckmeier
English | PDF (True) | 2002 | 329 Pages | ISBN : 3322802299 | 30.7 MB

The following chapters summarize lectures given in March 2001 during the summerschool on Hyperbolic Partial Differential Equations which took place at the Technical University of Hamburg-Harburg in Germany. This type of meeting is originally funded by the Volkswa­ genstiftung in Hannover (Germany) with the aim to bring together well-known leading experts from special mathematical, physical and engineering fields of interest with PhD­ students, members of Scientific Research Institutes as well as people from Industry, in order to learn and discuss modern theoretical and numerical developments. Hyperbolic partial differential equations play an important role in various applications from natural sciences and engineering. Starting from the classical Euler equations in fluid dynamics, several other hyperbolic equations arise in traffic flow problems, acoustics, radiation transfer, crystal growth etc. The main interest is concerned with nonlinear hyperbolic problems and the special structures, which are characteristic for solutions of these equations, like shock and rarefaction waves as well as entropy solutions. As a consequence, even numerical schemes for hyperbolic equations differ significantly from methods for elliptic and parabolic equations: the transport of information runs along the characteristic curves of a hyperbolic equation and consequently the direction of transport is of constitutive importance. This property leads to the construction of upwind schemes and the theory of Riemann solvers. Both concepts are combined with explicit or implicit time stepping techniques whereby the chosen order of accuracy usually depends on the expected dynamic of the underlying solution.