000 02064nam a2200253 4500
005 20250623101245.0
008 250623b |||||||| |||| 00| 0 eng d
020 _a9781032619917
040 _aCSL
_cCSL
041 _2eng
_aeng
084 _aB311 R4
_qCSL
100 _aRajasekar, Shanmuganathan
_eauthor.
_9813604
245 _aNumerical Methods
_b: Classical and Advanced Topics
260 _aBoca Raton:
_bCRC Press,
_c2024.
300 _axv, 541p.
_b: col. ill.
_c; 25 cm.
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
650 _aMathematics—Data processing
_9813605
650 _aAlgorithms
650 _aComputer simulation
_9713688
650 _aEngineering mathematics—Data processing
942 _2CC
_n0
_cTEXL
_hB311 R4
999 _c1432123
_d1432123