How Long to Read Tensor Numerical Methods in Quantum Chemistry

How Long Does it Take to Read Tensor Numerical Methods in Quantum Chemistry?

It takes the average reader 5 hours and 5 minutes to read Tensor Numerical Methods in Quantum Chemistry by Venera Khoromskaia

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

Description

The conventional numerical methods when applied to multidimensional problems suffer from the so-called "curse of dimensionality", that cannot be eliminated by using parallel architectures and high performance computing. The novel tensor numerical methods are based on a "smart" rank-structured tensor representation of the multivariate functions and operators discretized on Cartesian grids thus reducing solution of the multidimensional integral-differential equations to 1D calculations. We explain basic tensor formats and algorithms and show how the orthogonal Tucker tensor decomposition originating from chemometrics made a revolution in numerical analysis, relying on rigorous results from approximation theory. Benefits of tensor approach are demonstrated in ab-initio electronic structure calculations. Computation of the 3D convolution integrals for functions with multiple singularities is replaced by a sequence of 1D operations, thus enabling accurate MATLAB calculations on a laptop using 3D uniform tensor grids of the size up to 1015. Fast tensor-based Hartree-Fock solver, incorporating the grid-based low-rank factorization of the two-electron integrals, serves as a prerequisite for economical calculation of the excitation energies of molecules. Tensor approach suggests efficient grid-based numerical treatment of the long-range electrostatic potentials on large 3D finite lattices with defects.The novel range-separated tensor format applies to interaction potentials of multi-particle systems of general type opening the new prospects for tensor methods in scientific computing. This research monograph presenting the modern tensor techniques applied to problems in quantum chemistry may be interesting for a wide audience of students and scientists working in computational chemistry, material science and scientific computing.

How long is Tensor Numerical Methods in Quantum Chemistry?

Tensor Numerical Methods in Quantum Chemistry by Venera Khoromskaia is 297 pages long, and a total of 76,329 words.

This makes it 100% the length of the average book. It also has 93% more words than the average book.

How Long Does it Take to Read Tensor Numerical Methods in Quantum Chemistry Aloud?

The average oral reading speed is 183 words per minute. This means it takes 6 hours and 57 minutes to read Tensor Numerical Methods in Quantum Chemistry aloud.

What Reading Level is Tensor Numerical Methods in Quantum Chemistry?

Tensor Numerical Methods in Quantum Chemistry 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 Tensor Numerical Methods in Quantum Chemistry?

Tensor Numerical Methods in Quantum Chemistry by Venera Khoromskaia is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

To buy Tensor Numerical Methods in Quantum Chemistry by Venera Khoromskaia on Amazon click the button below.