How Long to Read Sobolev Gradients and Differential Equations

By John Neuberger

How Long Does it Take to Read Sobolev Gradients and Differential Equations?

It takes the average reader 4 hours and 55 minutes to read Sobolev Gradients and Differential Equations by John Neuberger

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

Description

A Sobolev gradient of a real-valued functional on a Hilbert space is a gradient of that functional taken relative to an underlying Sobolev norm. This book shows how descent methods using such gradients allow a unified treatment of a wide variety of problems in differential equations. For discrete versions of partial differential equations, corresponding Sobolev gradients are seen to be vastly more efficient than ordinary gradients. In fact, descent methods with these gradients generally scale linearly with the number of grid points, in sharp contrast with the use of ordinary gradients. Aside from the first edition of this work, this is the only known account of Sobolev gradients in book form. Most of the applications in this book have emerged since the first edition was published some twelve years ago. What remains of the first edition has been extensively revised. There are a number of plots of results from calculations and a sample MatLab code is included for a simple problem. Those working through a fair portion of the material have in the past been able to use the theory on their own applications and also gain an appreciation of the possibility of a rather comprehensive point of view on the subject of partial differential equations.

How long is Sobolev Gradients and Differential Equations?

Sobolev Gradients and Differential Equations by John Neuberger is 287 pages long, and a total of 73,759 words.

This makes it 97% the length of the average book. It also has 90% more words than the average book.

How Long Does it Take to Read Sobolev Gradients and Differential Equations Aloud?

The average oral reading speed is 183 words per minute. This means it takes 6 hours and 43 minutes to read Sobolev Gradients and Differential Equations aloud.

What Reading Level is Sobolev Gradients and Differential Equations?

Sobolev Gradients and 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 Sobolev Gradients and Differential Equations?

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