| Description |
1 online resource (xxiv, 500 pages) |
| Series |
Springer series in computational mathematics, 0179-3632 ; 42 |
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Springer series in computational mathematics ; 42.
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| Contents |
pt. 1. Algebraic tensors -- pt. 2. Functional analysis of tensor spaces -- pt. 3. Numerical treatment |
| Summary |
Annotation Special numerical techniques are already needed to deal with nxn matrices for large n. Tensor data are of size nxnx ... xn=n̂d, where n̂d exceeds the computer memory by far. They appear for problems of high spatial dimensions. Since standard methods fail, a particular tensor calculus is needed to treat such problems. The monograph describes the methods how tensors can be practically treated and how numerical operations can be performed. Applications are problems from quantum chemistry, approximation of multivariate functions, solution of pde, e.g., with stochastic coefficients, etc |
| Analysis |
Mathematics |
|
Chemistry |
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Numerical analysis |
|
Theoretical and Computational Chemistry |
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Theoretical, Mathematical and Computational Physics |
| Bibliography |
Includes bibliographical references and index |
| Subject |
Calculus of tensors.
|
|
Mathematics.
|
|
Mathematics
|
|
MATHEMATICS -- Algebra -- Intermediate.
|
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Cálculo tensorial
|
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Matemáticas
|
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Mathematics
|
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Calculus of tensors
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Tensor.
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Tensorrechnung.
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Numerische Mathematik.
|
| Form |
Electronic book
|
| ISBN |
9783642280276 |
|
3642280277 |
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