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The Theory of Difference Schemes

The Theory of Difference Schemes emphasizes solutions to boundary value problems through multiple difference schemes. It addresses the;

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Exact Finite-Difference Schemes

Exact Finite-Difference Schemes is a first overview of the topic also describing the state-of-the-art in this field of numerical analysis;

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Well-Posedness of Parabolic Difference Equations

schemes. Modern computers allow the implementation of highly accurate ones; hence, their construction and investigation for various boundary value;

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Nonstandard Finite Difference Schemes

theory and application of the NSFD methodology during the past two and a half decades. In addition to discussing details related to the;

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Exact and Truncated Difference Schemes for Boundary Value ODEs

corresponding theory is based on exact difference schemes (EDS) from which the implementable truncated difference schemes (TDS) are derived. The TDS are;

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Numerical Schemes for Conservation Laws

for unstructured grids (finite volume methods). Higher order schemes are also included. In the second part of the book the algorithms for;

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Computer-Aided Analysis of Difference Schemes for Partial Differential Equations

stability of a wide range of difference schemes. The authors provide specific characteristics of each scheme and their application to real world;

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Applications of Lie Groups to Difference Equations

differential equations in numerical schemes. This symmetry preservation results in symmetry reduction of the difference model along with that of the;

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Applications of Lie Groups to Difference Equations

differential equations in numerical schemes. This symmetry preservation results in symmetry reduction of the difference model along with that of the;

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Difference Methods for Singular Perturbation Problems

Difference Methods for Singular Perturbation Problems focuses on the development of robust difference schemes for wide classes of boundary;

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Homotopy Theory of Schemes

properties are satisfied, for example, concerning the algebraic $K$-theory of those schemes. In this way, advanced methods of algebraic topology;

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Advances In The Applications Of Nonstandard Finite Difference Schemes

This volume provides a concise introduction to the methodology of nonstandard finite difference (NSFD) schemes construction and shows how;

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Hilbert Schemes of Points and Infinite Dimensional Lie Algebras

Hilbert schemes, which parametrize subschemes in algebraic varieties, have been extensively studied in algebraic geometry for the last 50;

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Applications Of Nonstandard Finite Difference Schemes

difference schemes and illustrate how such techniques can be applied to several important problems. Chapter 1 gives an overview of the subject and;

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Sir Humphrey's Legacy

Whilst private sector pension schemes have been closing down rapidly in the last few years, public sector employees continue to enjoy 'gold;

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Difference Equations, Second Edition

analysis of discrete-time systems, the numerical integration of differential equations by finite-difference schemes, and the study of deterministic;

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Finite-Difference Modelling Of Earthquake Motions

book requires only undergraduate degree-level mathematics and provides a user-friendly explanation of the relevant theory. It explains FD;

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Numerical Methods in Computational Finance

parabolic PDEs. It encapsulates all the background information to construct stable and accurate finite difference schemes. Part D Advanced;

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Foundations Of Computational Mathematics

, to chaos in finite difference schemes, these essays explore the foundational issues of computational mathematics. ;

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Finite Difference Computing with PDEs

. Accordingly, it especially addresses: the construction of finite difference schemes, formulation and implementation of algorithms, verification;

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Sampling Theory and Methods

Sampling Theory and Methods presents in detail several sampling schemes like simple random sampling, unequal probability sampling methods;

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Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy

90th birthday. The contributions address those fields that Professor Godunov is most famous for: differential and difference equations, partial;

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Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy

90th birthday. The contributions address those fields that Professor Godunov is most famous for: differential and difference equations, partial;

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Difference and Differential Equations with Applications in Queueing Theory

Equations with Applications in Queueing Theory presents the unique connections between the methods and applications of differential equations;

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Cartesian CFD Methods for Complex Applications

applications of Cartesian CFD methods and describe the employed algorithms and numerical schemes. An emphasis is laid on complex multi-physics;

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Cambridge Cultural Social Studies

Difference Troubles, first published in 1997, examines the implications for social theory and sexual politics of taking difference;

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Foundations of Iso-Differential Calculus

equilibrium points, periodic points and cycles. Chapter 2 are introduces iso-difference calculus and the general theory of the linear homogeneous and;

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