Nonstandard Finite Difference Schemes: Methodology And Applications
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A01=Ronald E Mickens
Author_Ronald E Mickens
Category=PBKS
Denominator Functions
Discrete Conservation Laws
Discrete Hamiltonian Systems
Discrete Lagrangian Systems
Discrete Modelling
Dynamic Consistency
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Exact Finite Difference Schemes
Exponential Numerical Integration
Geometric Numerical Integration
Non-Local Discretization
NSFD Methodology
NSFD Schemes
Numerical Analysis of Differential Equations
Sub-equations for Differential Equations
Product details
- ISBN 9789811222535
- Publication Date: 20 Nov 2020
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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This second edition of Nonstandard Finite Difference Models of Differential Equations provides an update on the progress made in both the theory and application of the NSFD methodology during the past two and a half decades. In addition to discussing details related to the determination of the denominator functions and the nonlocal discrete representations of functions of dependent variables, we include many examples illustrating just how this should be done.Of real value to the reader is the inclusion of a chapter listing many exact difference schemes, and a chapter giving NSFD schemes from the research literature. The book emphasizes the critical roles played by the "principle of dynamic consistency" and the use of sub-equations for the construction of valid NSFD discretizations of differential equations.
