Finite Difference Methods
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F17%3A00521432" target="_blank" >RIV/68145535:_____/17:00521432 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1002/9781119176817.ecm2002" target="_blank" >http://dx.doi.org/10.1002/9781119176817.ecm2002</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/9781119176817.ecm2002" target="_blank" >10.1002/9781119176817.ecm2002</a>
Alternative languages
Result language
angličtina
Original language name
Finite Difference Methods
Original language description
It is shown how difference methods lead to monotone operators with uniformly bounded inverses for which discretization error estimates for the solution and its derivatives can readily be derived. Higher order of accuracy can be achieved for sufficiently regular solutions by extrapolation or by the use of various higher order difference methods.nProperties of solutions of elliptic, parabolic, hyperbolic, and convection‐dominated convection–diffusion problems as well as positivity and continuous and discrete maximum principles of the solution are shown. Computational aspects of solving difference equations are discussed. Stable discretization of time‐dependent problems is shown for parabolic problems and hyperbolic problems of first and second order. Various discretization methods for convection‐dominated convection–diffusion problems, including method of characteristics, are presented.nDifference methods have their main advantages in that regular meshes can be used. To handle more general problems, adaptive mesh refinement and use of graded meshes are discussed. Use of local Green's functions and other examples of exact difference schemes are also presented.n
Czech name
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Czech description
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Classification
Type
C - Chapter in a specialist book
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Book/collection name
Encyclopedia of Computational Mechanics Second Edition, 6 Volume Set
ISBN
978-1-119-00379-3
Number of pages of the result
52
Pages from-to
1-52
Number of pages of the book
4024
Publisher name
John Wiley & Sons, Ltd.
Place of publication
Chichester
UT code for WoS chapter
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