| 000 | 03864nam a22005415i 4500 | ||
|---|---|---|---|
| 001 | 978-3-030-02647-9 | ||
| 003 | DE-He213 | ||
| 005 | 20220801213810.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 190117s2019 sz | s |||| 0|eng d | ||
| 020 |
_a9783030026479 _9978-3-030-02647-9 |
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| 024 | 7 |
_a10.1007/978-3-030-02647-9 _2doi |
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| 050 | 4 | _aTA349-359 | |
| 072 | 7 |
_aTGMD _2bicssc |
|
| 072 | 7 |
_aSCI096000 _2bisacsh |
|
| 072 | 7 |
_aTGMD _2thema |
|
| 082 | 0 | 4 |
_a620.105 _223 |
| 100 | 1 |
_aMadenci, Erdogan. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _934414 |
|
| 245 | 1 | 0 |
_aPeridynamic Differential Operator for Numerical Analysis _h[electronic resource] / _cby Erdogan Madenci, Atila Barut, Mehmet Dorduncu. |
| 250 | _a1st ed. 2019. | ||
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2019. |
|
| 300 |
_aXI, 282 p. 163 illus., 137 illus. in color. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 505 | 0 | _a1 Introduction -- 2 Peridynamic Differential Operator -- 3 Numerical Implementation -- 4 Interpolation, Regression and Smoothing -- 5 Ordinary Differential Equations -- 6 Partial Differential Equations -- 7 Coupled Field Equations -- 8 Integro-Differential Equations -- 9 Weak Form of Peridynamics -- 10 Peridynamic Least Squares Minimization. . | |
| 520 | _aThis book introduces the peridynamic (PD) differential operator, which enables the nonlocal form of local differentiation. PD is a bridge between differentiation and integration. It provides the computational solution of complex field equations and evaluation of derivatives of smooth or scattered data in the presence of discontinuities. PD also serves as a natural filter to smooth noisy data and to recover missing data. This book starts with an overview of the PD concept, the derivation of the PD differential operator, its numerical implementation for the spatial and temporal derivatives, and the description of sources of error. The applications concern interpolation, regression, and smoothing of data, solutions to nonlinear ordinary differential equations, single- and multi-field partial differential equations and integro-differential equations. It describes the derivation of the weak form of PD Poisson’s and Navier’s equations for direct imposition of essential and natural boundary conditions. It also presents an alternative approach for the PD differential operator based on the least squares minimization. Peridynamic Differential Operator for Numerical Analysis is suitable for both advanced-level student and researchers, demonstrating how to construct solutions to all of the applications. Provided as supplementary material, solution algorithms for a set of selected applications are available for more details in the numerical implementation. | ||
| 650 | 0 |
_aMechanics, Applied. _93253 |
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| 650 | 0 |
_aSolids. _93750 |
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| 650 | 0 |
_aMaterials—Analysis. _934415 |
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| 650 | 0 |
_aMathematics—Data processing. _931594 |
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| 650 | 1 | 4 |
_aSolid Mechanics. _931612 |
| 650 | 2 | 4 |
_aCharacterization and Analytical Technique. _934416 |
| 650 | 2 | 4 |
_aComputational Science and Engineering. _934417 |
| 700 | 1 |
_aBarut, Atila. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _934418 |
|
| 700 | 1 |
_aDorduncu, Mehmet. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _934419 |
|
| 710 | 2 |
_aSpringerLink (Online service) _934420 |
|
| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783030026462 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783030026486 |
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-030-02647-9 |
| 912 | _aZDB-2-ENG | ||
| 912 | _aZDB-2-SXE | ||
| 942 | _cEBK | ||
| 999 |
_c75607 _d75607 |
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