By Jose E. Castillo,Guillermo F. Miranda

To support clear up actual and engineering difficulties, mimetic or appropriate algebraic discretization tools hire discrete constructs to imitate the continual identities and theorems present in vector calculus. Mimetic Discretization Methods specializes in the hot mimetic discretization technique co-developed through the 1st writer. in accordance with the Castillo-Grone operators, this easy mimetic discretization strategy is constantly legitimate for spatial dimensions no more than 3. The booklet additionally provides a numerical procedure for acquiring corresponding discrete operators that mimic the continuum differential and flux-integral operators, allowing an analogous order of accuracy within the inside in addition to the area boundary.


After an outline of varied mimetic ways and purposes, the textual content discusses using continuum mathematical versions so as to encourage the normal use of mimetic tools. The authors additionally provide easy numerical research fabric, making the booklet compatible for a path on numerical equipment for fixing PDEs. The authors disguise mimetic differential operators in a single, , and 3 dimensions and supply an intensive creation to object-oriented programming and C++. additionally, they describe how their mimetic equipment toolkit (MTK)—available online—can be used for the computational implementation of mimetic discretization equipment. The textual content concludes with the appliance of mimetic easy methods to established nonuniform meshes in addition to a number of case studies.


Compiling the authors’ many ideas and effects built through the years, this e-book indicates easy methods to receive a strong numerical answer of PDEs utilizing the mimetic discretization strategy. It additionally is helping readers examine replacement tools within the literature.

Show description

Read Online or Download Mimetic Discretization Methods PDF

Similar number systems books

Meshfree Methods for Partial Differential Equations II: 43 (Lecture Notes in Computational Science and Engineering)

The numerical therapy of partial differential equations with particle equipment and meshfree discretization suggestions is a truly lively examine box either within the arithmetic and engineering neighborhood. as a result of their independence of a mesh, particle schemes and meshfree equipment can take care of huge geometric alterations of the area extra simply than classical discretization options.

Analysis and Simulation of Multifield Problems (Lecture Notes in Applied and Computational Mechanics)

The research and simulation of multifield difficulties have lately turn into probably the most genuine and vibrant components of study. even though the person subproblems of complicated technical and actual phenomena frequently are understood individually, their interplay and coupling create not just new problems but additionally a whole new point and caliber of interacting coupled box difficulties.

Mathematical Models in Photographic Science (Mathematics in Industry)

This e-book offers mathematical types that come up in present photographic technology. The e-book includes seventeen chapters, every one facing one quarter of photographic technological know-how, and a last bankruptcy containing workouts. each one bankruptcy, other than the 2 introductory chapters, start with basic heritage info at a degree comprehensible by way of graduate and undergraduate scholars.

Numerical Methods for General and Structured Eigenvalue Problems: 46 (Lecture Notes in Computational Science and Engineering)

This ebook is ready computing eigenvalues, eigenvectors, and invariant subspaces of matrices. therapy comprises generalized and based eigenvalue difficulties and all very important features of eigenvalue computations. a distinct function is the targeted therapy of based eigenvalue difficulties, offering perception on accuracy and potency earnings to be anticipated from algorithms that take the constitution of a matrix under consideration.

Additional resources for Mimetic Discretization Methods

Example text

Download PDF sample

Rated 4.53 of 5 – based on 33 votes