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Wednesday, May 6, 2020 | History

4 edition of Monotone Flows and Rapid Convergence for Nonlinear Partial Differential Equations (Series in Mathematical Analysis and Applications, 7) found in the catalog.

Monotone Flows and Rapid Convergence for Nonlinear Partial Differential Equations (Series in Mathematical Analysis and Applications, 7)

by V. Lakshmikantham

  • 1 Want to read
  • 6 Currently reading

Published by CRC .
Written in English


The Physical Object
Number of Pages328
ID Numbers
Open LibraryOL7490799M
ISBN 100415305284
ISBN 109780415305280

  Two chapters examine quasimonotone and nonquasimonotone delay differential equations, and the book closes with a discussion of applications to quasimonotone systems of reaction-diffusion type. Throughout, Smith discusses applications of the theory to many mathematical models arising in biology. This book is devoted to the study of nonlinear evolution and difference equations of first and second order governed by a maximal monotone operator. This class of abstract evolution equations contains not only a class of ordinary differential equations, but also unify some important partial differential equations, such as the heat equation.

Nonlinear Partial Differential Equations in Engineering discusses methods of solution for nonlinear partial differential equations, particularly by using a unified treatment of analytic and numerical procedures. The book also explains analytic methods, approximation methods (such as asymptotic processes, perturbation procedures, weighted residual methods), and specific numerical procedures. Title: On Nonlinear Differential Equations, the Maximum Operation, and Monotone Convergence Author: Robert E. Kalaba Subject: A proof that the solutions to certain classes of nonlinear ordinary and partial differential equations may be represented in terms of the maximum operation applied to the solutions of associated linear equations.

Monotone iterative technique for functional differential equations with retardation and anticipation Article in Nonlinear Analysis 66(10) May with 71 Reads How we measure 'reads'. A discrete monotone iterative method is reported here to solve a space-fractional nonlinear diffusion–reaction equation. More precisely, we propose a Crank–Nicolson discretization of a reaction–diffusion system with fractional spatial derivative of the Riesz type. The finite-difference scheme is based on the use of fractional-order centered differences, and it is solved using a monotone Author: Salvador Flores, Jorge E. Macías-Díaz, Ahmed S. Hendy, Ahmed S. Hendy.


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Monotone Flows and Rapid Convergence for Nonlinear Partial Differential Equations (Series in Mathematical Analysis and Applications, 7) by V. Lakshmikantham Download PDF EPUB FB2

A monotone iterative technique is used to obtain monotone approximate solutions that converge to the solution of nonlinear problems of partial differential equations of elliptic, parabolic and hyperbolic type.

This volume describes that technique, which has played a valuable role in unifying a varie. Get this from a library. Monotone flows and rapid convergence for nonlinear partial differential equations.

[V Lakshmikantham; S Köksal]. Monotone Flows and Rapid Convergence for Nonlinear Partial Differential Equations - CRC Press Book A monotone iterative technique is used to obtain monotone approximate solutions that converge to the solution of nonlinear problems of partial differential equations of elliptic, parabolic and hyperbolic type.

Monotone Flows and Rapid Convergence for Nonlinear Partial Differential Equations V. Lakshmikantham and S. Koksal Taylor & Francis Taylor & Francis by: Monotone Flows and Rapid Convergence for Nonlinear Partial Differential Equations by V.

Lakshmikantham,available at Book Depository with free delivery worldwide. Buy Monotone Iterative Techniques for Discontinuous Nonlinear Differential Equations (Chapman & Hall/CRC Pure and Applied Mathematics) on FREE SHIPPING on qualified ordersCited by: Monotone Approximations and Rapid Convergence.

Author links open overlay panel V we shall investigate monotone flows which approximate the solutions of various nonlinear dynamic equations starting from the classical successive approximations Rapid Convergence for Nonlinear Partial Differential Equations, Taylor & Francis, England () Cited by: 2.

The objectives of this monograph are to present some topics from the theory of monotone operators and nonlinear semigroup theory which are directly applicable to the existence and uniqueness theory of initial-boundary-value problems for partial differential equations and to construct such operators as realizations of those problems in appropriate function : R.

Showalter. Nonlinear Evolution and Difference Equations of Monotone Type in Hilbert Spaces book. This book is devoted to the study of non-linear evolution and difference equations of first or second order governed by maximal monotone operator.

Some Applications to Nonlinear Partial Differential Equations and. With Behzad Djafari-Rouhani, Hadi Author: Behzad Djafari-Rouhani, Hadi Khatibzadeh. Monotone Flows and Rapid Convergence for Nonlinear Partial Differential Equations (Mathematical Analysis and Applications) by V.

Lakshmikantham. Good. Ships with Tracking Number. INTERNATIONAL WORLDWIDE Shipping available. May not contain Access Codes or Supplements. May be re-issue. May be ex-library. Shipping & Handling by region. Monotone Flows and Rapid Convergence for Nonlinear Partial Differential Equations V.

Lakshmikantham A monotone iterative technique is used to obtain monotone approximate solutions that converge to the solution of nonlinear problems of partial differential equations of elliptic, parabolic and hyperbolic type.

This book is concerned with basic results on Cauchy problems associated with nonlinear monotone operators in Banach spaces with applications to partial differential equations of evolutive type.

This is a monograph about the most significant results obtained in this area in last decades but is also. This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems.

The exposition leads the reader through the general theory based on abstract (pseudo-) monotone or accretive operators as fast as possible towards the analysis of concrete differential equations, which have specific applications in continuum (thermo Brand: Birkhäuser Basel.

Linear Evolution Equations Linear Degenerate Equations Nonlinear Parabolic Equations Abstract Difference Approximations Degenerate Parabolic Equations Variational Inequalities Chapter IV.

Accretive Operators and Nonlinear Cauchy Problems IV. 1 Accretive Operators in Hilbert Space Monotone Flows and Rapid Convergence for Nonlinear Partial Differential Equations 1st Edition.

Lakshmikantham, S. Koksal Septem A monotone iterative technique is used to obtain monotone approximate solutions that converge to the solution of nonlinear problems of partial differential equations of elliptic, parabolic and. Abstract. We consider approximation schemes for monotone systems of fully nonlinear second order partial differential equations.

We first prove a general convergence result for monotone, consistent and regular schemes. This result is a generalization to the well known framework of Barles-Souganidis, in the case of scalar nonlinear equation.

A proof that the solutions to certain classes of nonlinear ordinary and partial differential equations may be represented in terms of the maximum operation applied to the solutions of associated linear equations. This, in effect, affords a new approach to the quasi-linearization of nonlinear differential equations.

In mathematics and physics, a nonlinear partial differential equation is a partial differential equation with nonlinear describe many different physical systems, ranging from gravitation to fluid dynamics, and have been used in mathematics to solve problems such as the Poincaré conjecture and the Calabi are difficult to study: there are almost no general techniques.

Nonlinear Partial Differential Equations will serve as an excellent textbook for a first course in modern analysis or as a useful self-study guide. Key topics in nonlinear partial differential equations as well as several fundamental tools and methods are presented. The. Purchase Nonlinear Partial Differential Equations and Their Applications, Volume 31 - 1st Edition.

Print Book & E-Book. ISBN. Abstract. In the first section, we recall a general result concerning existence, uniqueness, and Itô’s formula for the norm square of solutions to nonlinear monotone stochastic differential equations in the framework of (Krylov and Rozovskii, Stochastic evolution equations, Plenum Publishing, ), which goes back to (Pardoux, C.R.

Acad. Sci. A–A, ) and (Pardoux, Equations Author: Feng-Yu Wang, Feng-Yu Wang.Monotone iterative method for a class of nonlinear fractional differential Available via license: CC BY-NC-ND Content may be subject to copyright.Monotone Iterations for Numerical Solutions of Nonlinear Elliptic Partial Differential Equations* Xinzhi Liu Department of Applied Mathematics University of Waterloo Waterloo, Ontario, Canada N2L 3Gl and Yau Shu Wong and Ji Xingzhi Department of Mathematics University of Alberta Edmonton, Alberta, Canada T6G 2Gl ABSTRACT Employing a weighted difference scheme and the method of upper-lower Cited by: 6.