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Nonstandard Finite Difference Schemes

This second edition of Nonstandard Finite Difference Models of Differential Equations provides an update on the progress made in both the;

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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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Applications Of Nonstandard Finite Difference Schemes

wish to know how to construct nonstandard schemes and see how these are applied to obtain numerical solutions of the differential equations;

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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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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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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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Applications of Lie Groups to Difference Equations

difference schemes for nonlinear differential equations. A guide to methods and results in a new area of application of Lie groups to difference;

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Applications of Lie Groups to Difference Equations

difference schemes for nonlinear differential equations. A guide to methods and results in a new area of application of Lie groups to difference;

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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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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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Computational Fluid Dynamics for Incompressible Flows

difference and finite volume methods. Discusses various higher-order bounded convective schemes, TVD discretisation schemes based on the;

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Computational Fluid Dynamics for Incompressible Flows

difference and finite volume methods. Discusses various higher-order bounded convective schemes, TVD discretisation schemes based on the;

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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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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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Regularization Algorithms for Ill-Posed Problems

operator equations, both linear and nonlinear. These approximation schemes form a basis for implementable numerical algorithms for the stable;

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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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Finite Difference Methods,Theory and Applications

This book constitutes the thoroughly refereed post-conference proceedings of the 6th International C;...

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Finite Difference Methods in Heat Transfer

Finite Difference Methods in Heat Transfer, Second Edition focuses on finite difference methods and ;...

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Pricing Financial Instruments

derivative structures. From a summary of stochastic pricing processes and arbitrage pricing arguments, through the analysis of numerical schemes and;

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Wavelet Based Approximation Schemes for Singular Integral Equations

dimensional solids by the existing classical numerical schemes is challenging (computational time/memory requirements). Therefore, with the;

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Wavelet Based Approximation Schemes for Singular Integral Equations

dimensional solids by the existing classical numerical schemes is challenging (computational time/memory requirements). Therefore, with the;

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Derivatives and Internal Models

analysis, GARCH models, differential equations, finite difference schemes, Martingales and Numeraires.;

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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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Computational Aerodynamics and Fluid Dynamics: An Introduction

The book gives the reader the basis for understanding the way numerical schemes achieve accurate and stable simulations of physical;

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Generalized Difference Methods for Differential Equations

This text presents a comprehensive mathematical theory for elliptic, parabolic, and hyperbolic diffe;...

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Radically Elementary Probability Theory. (AM-117), Volume 117

of stochastic processes. This is made possible by using a small amount of Abraham Robinson's nonstandard analysis and not attempting to convert the;

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Finite-Difference Modelling Of Earthquake Motions

schemes for solving wave equations and elastodynamic equations of motion in heterogeneous media, and provides an introduction to the rheology;

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