| 000 | 02064nam a2200253 4500 | ||
|---|---|---|---|
| 005 | 20250623101245.0 | ||
| 008 | 250623b |||||||| |||| 00| 0 eng d | ||
| 020 | _a9781032619917 | ||
| 040 |
_aCSL _cCSL |
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| 041 |
_2eng _aeng |
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| 084 |
_aB311 R4 _qCSL |
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| 100 |
_aRajasekar, Shanmuganathan _eauthor. _9813604 |
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| 245 |
_aNumerical Methods _b: Classical and Advanced Topics |
||
| 260 |
_aBoca Raton: _bCRC Press, _c2024. |
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| 300 |
_axv, 541p. _b: col. ill. _c; 25 cm. |
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| 500 | _aIncludes Index and selected answers | ||
| 520 | _aThis book presents a pedagogical treatment of a wide range of numerical methods to suit the needs of undergraduate and postgraduate students, and teachers and researchers in physics, mathematics, and engineering. For each method, the derivation of the formula/algorithm, error analysis, case studies, applications in science and engineering and the special features are covered. A detailed presentation of solving time-dependent Schrödinger equation and nonlinear wave equations, along with the Monte Carlo techniques (to mention a few) will aid in students’ understanding of several physical phenomena including tunnelling, elastic collision of nonlinear waves, electronic distribution in atoms, and diffusion of neutrons through simulation study. The book covers advanced topics such as symplectic integrators and random number generators for desired distributions and Monte Carlo techniques, which are usually overlooked in other numerical methods textbooks. Interesting updates on classical topics include: curve fitting to a sigmoid and Gaussian functions and product of certain two functions, solving of differential equations in the presence of noise, and solving the time-independent Schrödinger equation. | ||
| 650 |
_aNumerical analysis _9713154 |
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| 650 |
_aMathematics—Data processing _9813605 |
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| 650 | _aAlgorithms | ||
| 650 |
_aComputer simulation _9713688 |
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| 650 | _aEngineering mathematics—Data processing | ||
| 942 |
_2CC _n0 _cTEXL _hB311 R4 |
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| 999 |
_c1432123 _d1432123 |
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