How Long to Read Numerical Methods for Singularly Perturbed Differential Equations

How Long Does it Take to Read Numerical Methods for Singularly Perturbed Differential Equations?

It takes the average reader 5 hours and 54 minutes to read Numerical Methods for Singularly Perturbed Differential Equations by Hans-Görg Roos

Assuming a reading speed of 250 words per minute. Learn more

Description

The analysis of singular perturbed differential equations began early in this century, when approximate solutions were constructed from asymptotic ex pansions. (Preliminary attempts appear in the nineteenth century [vD94].) This technique has flourished since the mid-1960s. Its principal ideas and methods are described in several textbooks. Nevertheless, asymptotic ex pansions may be impossible to construct or may fail to simplify the given problem; then numerical approximations are often the only option. The systematic study of numerical methods for singular perturbation problems started somewhat later - in the 1970s. While the research frontier has been steadily pushed back, the exposition of new developments in the analysis of numerical methods has been neglected. Perhaps the only example of a textbook that concentrates on this analysis is [DMS80], which collects various results for ordinary differential equations, but many methods and techniques that are relevant today (especially for partial differential equa tions) were developed after 1980.Thus contemporary researchers must comb the literature to acquaint themselves with earlier work. Our purposes in writing this introductory book are twofold. First, we aim to present a structured account of recent ideas in the numerical analysis of singularly perturbed differential equations. Second, this important area has many open problems and we hope that our book will stimulate further investigations.Our choice of topics is inevitably personal and reflects our own main interests.

How long is Numerical Methods for Singularly Perturbed Differential Equations?

Numerical Methods for Singularly Perturbed Differential Equations by Hans-Görg Roos is 352 pages long, and a total of 88,704 words.

This makes it 119% the length of the average book. It also has 108% more words than the average book.

How Long Does it Take to Read Numerical Methods for Singularly Perturbed Differential Equations Aloud?

The average oral reading speed is 183 words per minute. This means it takes 8 hours and 4 minutes to read Numerical Methods for Singularly Perturbed Differential Equations aloud.

What Reading Level is Numerical Methods for Singularly Perturbed Differential Equations?

Numerical Methods for Singularly Perturbed Differential Equations is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Numerical Methods for Singularly Perturbed Differential Equations?

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