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Singular-perturbation theory : an introduction with applications / Donald R. Smith

資料種別:: 図書
出版情報:: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1985
形態:: xvi, 500 p. ; 24 cm
著者名:: Smith, Donald R. (Donald Ray), 1939 Jan. 23- <DA03219004>
ISBN:: 9780521300421 [0521300428]
書誌ID:: BA00644856

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注記:

Bibliography: p. 479-493
Includes indexes

主題:

Differential equations--Numerical solutions; Perturbation (Mathematics)

言語:

英語

目次情報:

Preface

Acknowledgments

Preliminary results

Initial-Value Problems of Oscillatory Type / Part I：

Precession of the planet Mercury / 1：

Krylov/Bogoliubov averaging / 2：

The multiscale technique / 3：

Error estimates for perturbed-oscillation problems / 4：

Initial-Value Problems of Overdamped Type / Part II：

Linear overdamped initial-value problems / 5：

Nonlinear overdamped initial-value problems / 6：

Conditionally stable problems / 7：

Boundary-Value Problems / Part III：

Linear scalar problems / 8：

Linear first-order systems / 9：

Nonlinear problems / 10：

References

Name index

Subject index

Preface

Acknowledgments

Preliminary results

Initial-Value Problems of Oscillatory Type / Part I：

Precession of the planet Mercury / 1：

Krylov/Bogoliubov averaging / 2：

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