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Navier-stokes, equations --- Solutions numeriques --- Solutions numeriques
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Navier-stokes, equations --- Solutions numeriques --- Dynamique des fluides --- Solutions numeriques
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The study of numerical methods for solving ordinary differential equations is constantly developing and regenerating, and this third edition of a popular classic volume, written by one of the world’s leading experts in the field, presents an account of the subject which reflects both its historical and well-established place in computational science and its vital role as a cornerstone of modern applied mathematics.In addition to serving as a broad and comprehensive study of numerical methods for initial value problems, this book contains a special emphasis on Runge-Kutta methods by the mathematician who transformed the subject into its modern form dating from his classic 1963 and 1972 papers. A second feature is general linear methods which have now matured and grown from being a framework for a unified theory of a wide range of diverse numerical schemes to a source of new and practical algorithms in their own right. As the founder of general linear method research, John Butcher has been a leading contributor to its development; his special role is reflected in the text. The book is written in the lucid style characteristic of the author, and combines enlightening explanations with rigorous and precise analysis. In addition to these anticipated features, the book breaks new ground by including the latest results on the highly efficient G-symplectic methods which compete strongly with the well-known symplectic Runge-Kutta methods for long-term integration of conservative mechanical systems.This third edition of Numerical Methods for Ordinary Differential Equations will serve as a key text for senior undergraduate and graduate courses in numerical analysis, and is an essential resource for research workers in applied mathematics, physics and engineering.
Differential equations --- Équations différentielles --- Numerical solutions. --- Solutions numériques.
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Graphes, Théorie des. --- Markov, Processus de --- Probabilités. --- Solutions numériques.
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"Un cours d'introduction à la théorie des équations différentielles ordinaires, accompagné d'un exposé détaillé de différentes méthodes numériques permettant de les résoudre en pratique". Nombreux exemples concrets. Exercices et problèmes d'application aux chapitres. [SDM].
Analyse numérique --- Equations différentielles --- Numerical analysis --- Differential equations --- Solutions numériques --- Numerical solutions --- Equations differentielles --- Solutions numeriques. --- Solutions numeriques --- Differential equations. --- Numerical analysis. --- Analyse numérique --- Equations différentielles --- Solutions numériques --- Equations differentielles - Solutions numeriques. --- Equations differentielles - Solutions numeriques - Problèmes et exercices
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Information systems --- Differential equations --- Data processing. --- Maple (Computer file) --- Maple (Computer file). --- Maple (logiciel) --- Équations différentielles --- Solutions numériques --- Solutions numériques. --- Équations différentielles --- Solutions numériques.
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Intersecting two large research areas--numerical analysis and applied probability/quering theory--this book is a self -contained introduction to the numerical solution of structured Markov chains, which have a wide applicability in queueing theory and stochastic modeling. Aimed at graduates and researchers in numerical analysis, applied mathematics, probability, engineering and computer science it provides a thorough overview of the current literature. The book, consisting of nine chapters, is presented in three parts. Part 1 covers a basic description of the fundamental concepts related to Markov chains, a systematic treatment of the structure matrix tools, including finite Toeplitz matrices, displacement operators, FFT, and the infinite block Toeplitz matrices, their relationship with matrix power series and the fundamental problems of solving matrix equations can computing canonical factorizations. Part 2 deals with the description and analysis of structure Markov chains and includes M/G/1, quasi-birth0death processes, non-skip-free queries and tree-like processes. Part 3 covers solution algorithms where new convergence and applicability results are proved. Each chapter ends with bibliographic notes for further reading, and the book ends with an appendix collecting the main general concepts and results used in the book, a list of the main annotations and algorithms used in the book, and an extensive index.
Numerical analysis --- Stochastic processes --- Markov processes --- Markov, Processus de --- Numerical solutions. --- Solutions numériques --- Solutions numériques
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