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Numerical solutions of differential equations --- Differential equations --- Numerical solutions.

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Numerical solutions of differential equations

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This book collects, explains and analyses basic methods and recent results for the successful numerical solution of singularly perturbed differential equations. Such equations model many physical phenomena and their solutions are characterized by the presence of layers. The book is a wide-ranging introduction to the exciting current literature in this area. It concentrates on linear convection-diffusion equations and related nonlinear flow problems, encompassing both ordinary and partial differential equations. While many numerical methods are considered, particular attention is paid to those with realistic error estimates. The book provides a solid and thorough foundation for the numerical analysis and solution of singular perturbation problems.

Differential equations --- Perturbation (Mathematics) --- Numerical solutions. --- Perturbation (Mathematics). --- Differential equations - Numerical solutions.

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Geometry, Differential --- Manifolds (Mathematics) --- 517.91 --- Numerical solutions

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Qualitative Estimates For Partial Differential Equations: An Introduction describes an approach to the use of partial differential equations (PDEs) arising in the modelling of physical phenomena. It treats a wide range of differential inequality techniques applicable to problems arising in engineering and the natural sciences, including fluid and solid mechanics, physics, dynamics, biology, and chemistry.The book begins with an elementary discussion of the fundamental principles of differential inequality techniques for PDEs arising in the solution of physical problems, and then shows how these are used in research.Qualitative Estimates For Partial Differential Equations: An Introduction is an ideal book for students, professors, lecturers, and researchers who need a comprehensive introduction to qualitative methods for PDEs arising in engineering and the natural sciences.

Differential equations, Partial --- Equations aux dérivées partielles --- Numerical solutions --- Solutions numériques --- Numerical solutions. --- Equations aux dérivées partielles --- Solutions numériques