2 edition of **discrete maximum principle** found in the catalog.

discrete maximum principle

L. T. Fan

- 119 Want to read
- 24 Currently reading

Published
**1964**
by Wiley in New York
.

Written in English

- Mathematical optimization.

**Edition Notes**

Includes bibliographies.

Statement | [by] Liang-tseng Fan [and] Chiu-sen Wang. |

Contributions | Wang, Chiu-sen, joint author. |

Classifications | |
---|---|

LC Classifications | QA402.5 .F3 |

The Physical Object | |

Pagination | ix, 158 p. |

Number of Pages | 158 |

ID Numbers | |

Open Library | OL5917075M |

LC Control Number | 64020065 |

One of such basic properties is the discrete maximum principle. In this paper we analyze its relation to the so-called matrix maximum principles. We analyze the different matrix maximum principles (Ciarlet, Stoyan and Ciarlet-Stoyan maximum principles) and their by: 2. • Some reasonable discrete analogue of CMP (which may depend, in general, on the nature of numerical technique used) is often called the discrete maximum principle (or DMP in short). • Conditions on parameters of computational schemes (e.g. on mesh shape and size, time-step values, etc) a priori providing a validity of.

Minimal assumptions on the limiter are given in order to guarantee the validity of the discrete maximum principle, and then a precise definition of it is proposed and analyzed. Numerical results for convection–diffusion problems confirm the by: Mathematical Control Theory. Now online version available (click on link for pdf file, pages) (Please note: book is copyrighted by Springer-Verlag. Springer has kindly allowed me to place a copy on the web, as a reference and for ease of web searches.

[23] Ikeda T., Maximum Principle in Finite Element Models for Convection-Diffusion Phenomena, Lecture Notes Numer. Appl. Anal., 4, Kinokuniya Book Store, Tokyo, [24] Karátson J., Korotov S., Discrete maximum principles for finite element solutions of nonlinear elliptic problems with mixed boundary conditions, Numer. [23] Ikeda T., Maximum Principle in Finite Element Models for Convection-Diffusion Phenomena, Lecture Notes Numer. Appl. Anal., 4, Kinokuniya Book Store, Tokyo, Google Scholar [24] Karátson J., Korotov S., Discrete maximum principles for finite element solutions of nonlinear elliptic problems with mixed boundary conditions, by: 7.

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The second part of the present work is concerned with the validity of the maximum principle for a discrete, or approximate solution. Various, mainly linear algebraic techniques were developed over the years.

These frameworks for studying discrete maximum principles are highly successfulFile Size: KB. Philippe G. Ciarlet (bornParis) is a French mathematician, and introduced the concepts of discrete Green functions and the discrete maximum principle, His contributions and those of his collaborators can be found in his well-known mater: École polytechnique.

Online shopping from a great selection at Books Store. () The discrete maximum principle for linear simplicial finite element approximations of a reaction–diffusion problem. Linear Algebra and its Applications() Monotone finite volume schemes for diffusion equations on unstructured triangular discrete maximum principle book shape-regular polygonal by: Additional Physical Format: Online version: Styś, Tadeusz.

Discrete maximum principle. Warszawa: Państwowe Wydawnictwo Naukowe, (OCoLC) Discrete maximum principle. [Liang-Tseng Fan; C S Wang] Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Contacts Search for a Library.

Create lists, bibliographies and reviews: or Search WorldCat. Find items in. Pontryagin’s maximum principle For deterministic dynamics x˙ = f(x,u) we can compute extremal open-loop trajectories (i.e. local minima) by solving a boundary-value ODE problem with given x(0) and λ(T) = ∂ ∂x qT (x), where λ(t) is the gradient.

This Is The First Comprehensive Book About Maximum Entropy Principle And Its Applications To A Diversity Of Fields Like Statistical Mechanics, Thermo-Dynamics, Business, Economics, Insurance, Finance, Contingency Tables, Characterisation Of Probability Distributions (Univariate As Well As Multivariate, Discrete As Well As Continuous), Statistical Inference, Non-Linear.

The classical example. Harmonic functions are the classical example to which the strong maximum principle applies. Formally, if f is a harmonic function, then f cannot exhibit a strict local maximum within the domain of definition of other words, either f is a constant function, or, for any point inside the domain of f, there exist other points arbitrarily close to at which f takes.

Buy The Discrete Maximum Principle: A Study of Multistage Systems Optimization on FREE SHIPPING on qualified ordersCited by: The discrete maximum principles to be presented in the next two sections are based on Lemma 3. Discrete maximum principle for f ≤ 0. In this section, we establish a discrete maximum principle for the numerical scheme when the load function is non-positive; i.e., f ≤ 0.

The main result can be stated as follows. Theorem Cited by: 3. () A discrete maximum principle for the weak Galerkin finite element method on nonuniform rectangular partitions. Numerical Methods for Partial Differential Equations() The finite volume scheme preserving maximum principle for diffusion equations with discontinuous by: Abstract This chapter is concerned with the design of high-resolution finite ele-ment schemes satisfying the discrete maximum principle.

The presented algebraic flux correction paradigm is a generalization of the flux-corrected transport (FCT) methodology. @article{osti_, title = {The discrete maximum principle in finite-element thermal radiation analysis}, author = {Lobo, M and Emergy, A F}, abstractNote = {Under certain conditions, usually intense surface heat transfer associated with radiation, finite-element solutions display anomalous behaviors.

These behaviors have been traced to the violation of a discrete maximum principle. Whereas the maximum principles in the semidiscrete case exhibit similar features to those of continuous reaction-diffusion model (i.e., they hold under similar assumptions), in the discrete case the weak maximum principle holds for a smaller class of functions and the strong maximum principle is only valid in a weaker sense involving the domain Cited by: 5.

Dubovitskii () provided a strc~g maximum principle for the problem (to which the Lagrange problem can be transformed as well) with the so called locally convex functionals. nique we firstly provide two versions of the discrete maximum principle closely related to the general maximum principle given by Ioffe ().Author: R.

Pytlak. The discrete minimum principle provides a positivity-preserving approximation if the discretization parameter is small enough and if some structure conditions on the non-linearity and the triangulation are assumed.

The discrete maximum principle. This book covers important topics like stability, hyperbolicity, bifurcation theory and chaos, topics which are essential in order to understand the fascinating behavior of nonlinear discrete dynamical systems.

The theory is illuminated by several examples and exercises, many of them taken from population dynamical studies. Browse other questions tagged pde numerical-methods heat-equation finite-differences maximum-principle or ask your own question. The Overflow Blog How the pandemic changed traffic trends from M visitors across Stack.

maximum principle for Galerkin solutions of general linear elliptic problems. The characterization is formulated in terms of the discrete Green’s function and the elliptic projection of the b.

2 The discrete integral maximum principle 7 3 Iterated graph 13 The purpose of this paper is to prove an analogue of the latter integral maximum principle in the setting of discrete heat equation on a graph.

This will enable us to the reader to the book [26], to the surveys [7], [10], [22] and to the references therein.On the Discrete Maximum Principle for the Beltrami Color Flow Article (PDF Available) in Journal of Mathematical Imaging and Vision 29(1) .Discrete maximum principle for for a discrete parabolic operator While reading a paper on the topic 'Numerical solutions for generalized Black-Scholes equation', It is given that their numerical scheme can be executed explicitly by solving a linear system $\mathbf.