How Long to Read The Method of Fundamental Solutions: Theory and Applications

How Long Does it Take to Read The Method of Fundamental Solutions: Theory and Applications?

It takes the average reader 7 hours and 55 minutes to read The Method of Fundamental Solutions: Theory and Applications by Zi-Cai LI

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

Description

The fundamental solutions (FS) satisfy the governing equations in a solution domain S, and then the numerical solutions can be found from the exterior and the interior boundary conditions on ?S. The resource nodes of FS are chosen outside S, distinctly from the case of the boundary element method (BEM). This method is called the method of fundamental solutions (MFS), which originated from Kupradze in 1963. The Laplace and the Helmholtz equations are studied in detail, and biharmonic equations and the Cauchy-Navier equation of linear elastostatics are also discussed. Moreover, better choices of source nodes are explored. The simplicity of numerical algorithms and high accuracy of numerical solutions are two remarkable advantages of the MFS. However, the ill-conditioning of the MFS is notorious, and the condition number (Cond) grows exponentially via the number of the unknowns used. In this book, the numerical algorithms are introduced and their characteristics are addressed. The main efforts are made to establish the theoretical analysis in errors and stability. The strict analysis (as well as choices of source nodes) in this book has provided the solid theoretical basis of the MFS, to grant it to become an effective and competent numerical method for partial differential equations (PDE). Based on some of our works published as journal papers, this book presents essential and important elements of the MFS. It is intended for researchers, graduated students, university students, computational experts, mathematicians and engineers.

How long is The Method of Fundamental Solutions: Theory and Applications?

The Method of Fundamental Solutions: Theory and Applications by Zi-Cai LI is 472 pages long, and a total of 118,944 words.

This makes it 159% the length of the average book. It also has 145% more words than the average book.

How Long Does it Take to Read The Method of Fundamental Solutions: Theory and Applications Aloud?

The average oral reading speed is 183 words per minute. This means it takes 10 hours and 49 minutes to read The Method of Fundamental Solutions: Theory and Applications aloud.

What Reading Level is The Method of Fundamental Solutions: Theory and Applications?

The Method of Fundamental Solutions: Theory and Applications 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 The Method of Fundamental Solutions: Theory and Applications?

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