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Saturday, May 16, 2020 | History

3 edition of Optimal moving grids for time-dependent partial differential equations found in the catalog.

Optimal moving grids for time-dependent partial differential equations

Optimal moving grids for time-dependent partial differential equations

  • 4 Want to read
  • 18 Currently reading

Published by Research Institute for Advanced Computer Science, NASA Ames Research Center, National Technical Information Service, distributor in [Moffett Field, Calif.], [Springfield, Va .
Written in English

    Subjects:
  • Numerical grid generation (Numerical analysis),
  • Differential equations.

  • Edition Notes

    Other titlesOptimal moving grids for time dependent partial differential equations.
    StatementA.J. Werthen.
    SeriesNASA contractor report -- NASA CR-188850., RIACS technical report -- 89.42., RIACS technical report -- TR 89-42.
    ContributionsResearch Institute for Advanced Computer Science (U.S.)
    The Physical Object
    FormatMicroform
    Pagination1 v.
    ID Numbers
    Open LibraryOL15378001M

    The subject of the book is the mathematical theory of the discontinuous Galerkin method (DGM), which is a relatively new technique for the numerical solution of partial differential equations. The book is concerned with the DGM developed for elliptic and parabolic equations and its applications to the numerical simulation of compressible flow. @article{osti_, title = {Parallel-In-Time For Moving Meshes}, author = {Falgout, R. D. and Manteuffel, T. A. and Southworth, B. and Schroder, J. B.}, abstractNote = {With steadily growing computational resources available, scientists must develop e ective ways to utilize the increased resources. High performance, highly parallel software has be- come a standard.

    Handbook of Nonlinear Partial Differential Equations Second Edition, Updated, Revised and Extended Publisher: Chapman & Hall/CRC Press, Boca Raton-London-New York Year of Publication: Number of Pages: Summary Preface Features Contents References Index. 2d Advection Equation Matlab.

      The place of partial differential equations in mathematics is a very particular one: initially, the partial differential equations modeling natural phenomena were derived by combining calculus with physical reasoning in order to ex- press conservation laws and principles in partial differential equation form, leading to the wave equation. Stability of moving mesh method for partial differential equations, Proceedings of the Workshop on Scientific Computing'99 (Hong Kong, ) (Z.-C. Shi et al., ed.), Science Press, Beijing/New York, , pp.


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Optimal moving grids for time-dependent partial differential equations Download PDF EPUB FB2

Get this from a library. Optimal moving grids for time-dependent partial differential equations. [A J Werthen; Research Institute for Advanced Computer Science (U.S.)]. The Moving Finite Element (MFE) method is a technique for solving time-dependent partial differential equations (PDEs) using a spatial mesh which is.

7-Volume Set now available at special set price. Over the second half of the 20th century the subject area loosely referred to as numerical analysis of partial differential equations (PDEs) has undergone unprecedented development. At its practical end, the vigorous growth and steady diversification of the field were stimulated by the demand for accurate and reliable tools for.

Grid Generation Through Differential Systems. Authors; Authors and affiliations Flaherty, J. E., & Ludwig, R. On the stability of mesh equidistribution strategies for time-dependent partial differential equations. Journal of Computational A.

Optimal moving grids for time-dependent partial differential equations Author: Vladimir D. Liseikin. () Optimal moving grids for time-dependent partial differential equations. Journal of Computational Physics() Iterative schemes and algorithms for adaptive grid generation in one by:   Observations on an adaptive moving grid method for one-dimensional systems of partial differential equations.

Applied Numerical Mathematics, 3, – MathSciNet CrossRef zbMATH Google Scholar. The relationship between the moving finite element method and L 2 least-squares methods is discussed.

The paper also describes moving finite volume and discrete l 2 least-squares methods. Huang and Russell review a class of moving mesh algorithms based upon a moving mesh partial differential equation (MMPDE).Format: Paperback.

Adaptivity with moving grids. Optimal moving grids for time-dependent partial differential equations book solving time-dependent partial differential equations (PDEs).

has to increase from finer to coarser grids. The optimal dependence of these numbers is. The second edition features lots of improvements and new material. The most significant additions include - finite difference methods and implementations for a 1D time-dependent heat equation (Chapter 1.

6), - a solver for vibration of elastic structures (Chapter 5. 6), - a step-by-step instruction of how to develop and test Diffpack programs for a physical /5(3). Moving finite element, least squares, and finite volume approximations of steady and time-dependent PDEs in multidimensions (M.J.

Baines). Adaptive mesh movement - the MMPDE approach and its applications (W. Huang, R.D. Russell). The geometric integration of scale-invariant ordinary and partial differential equations (C.J.

Budd, M.D. Piggott). Boundary Value Problems: and Partial Differential Equations, Edition 6 - Ebook written by David L. Powers. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Boundary Value Problems: and Partial Differential Equations, Edition 6.

A summary of numerical methods for time-dependent advection-dominated partial differential equations (R.E.

Ewing, H. Wang). Approximate factorization for time-dependent partial differential equations(P.J. van der Houwen, B.P. Sommeijer). Series Title: Numerical analysisv. Other Titles: Journal of computational and applied mathematics. Hence, these equations are time-dependent advection–diffusion partial differential equations (PDEs) in terms of the concentration c or the saturation S.

In particular, Eq. () has an S-shaped nonlinear flux function f and a degenerate capillary diffusion term. Sometimes the diffusion phenomenon is so small that its effect is by: This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations.

Introduces both the fundamentals of time dependent differential equations and their numerical solutions Introduction to Numerical Methods for Time Dependent Differential Equations delves into the underlying mathematical theory needed to solve time dependent differential equations numerically.

adaptive and moving grids. Nielsen Book Data. Adaptivity with moving grids Chris J. Budd In this article we survey r-adaptive (or moving grid) methods for solving time-dependent partial differential equations (PDEs).

Although these methods have received much less as well as optimal transport methods. This is followed by an analysis of methods which have a more Lagrange-like. In this book we will particularly focus on optimal control problems subject to differentialalgebraic equations.

DAEs are composite systems of differential equations and algebraic equa1 2 CHAPTER 1. INTRODUCTION tions and often are viewed as differential equations on manifolds. The implicit ODE F (t, z(t), z(t), ˙ u(t)) = 0nz, t ∈ [t0, tf.

The relationship between the moving finite element method and L 2 least-squares methods is discussed. The paper also describes moving finite volume and discrete l 2 least-squares methods.

Huang and Russell review a class of moving mesh algorithms based upon a moving mesh partial differential equation (MMPDE). Multigrid (MG) methods in numerical analysis are algorithms for solving differential equations using a hierarchy of are an example of a class of techniques called multiresolution methods, very useful in problems exhibiting multiple scales of behavior.

For example, many basic relaxation methods exhibit different rates of convergence for short- and. In this paper, Euler equations are solved to simulate compressible flow on unstructured moving grids. Solution domain is discretized using control-volume finite-element method.

This method is benefited from the power of finite element in discretizing solution domain, and the capability of finite volume in conserving physical by: 3. Z. Sun and C.-W. Shu, Stability of the fourth order Runge-Kutta method for time-dependent partial differential equations, Annals of Mathematical Sciences and Applications, v2 (), pp J.

Huang and C.-W. Shu, A second-order asymptotic-preserving and positive-preserving discontinuous Galerkin scheme for the Kerr-Debye model.Publications of Jie Shen Books; Spectral Methods: Algorithms, Analysis and Applications (Springer Series in Computational Mathematics, V.

41) (by Jie Shen, Tao Tang and Li-Lian Wang, Springer, Aug. ), Erratum and the associated Matlab codes. Spectral and High-Order Methods with Applications (by Jie Shen and Tao Tang, Science Press of China, ); .The place of partial differential equations in mathematics is a very particular one: initially, the partial differential equations modeling natural phenomena were derived by combining calculus with physical reasoning in order to express conservation laws and principles in partial differential equation form, leading to the wave equation, the.