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An Introduction to Computational Science / / by Allen Holder, Joseph Eichholz



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Autore: Holder Allen Visualizza persona
Titolo: An Introduction to Computational Science / / by Allen Holder, Joseph Eichholz Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019
Edizione: 1st ed. 2019.
Descrizione fisica: 1 online resource (XVI, 470 p. 164 illus., 158 illus. in color.)
Disciplina: 004.0151
004
Soggetto topico: Operations research
Decision making
Management science
Computer mathematics
Operations Research/Decision Theory
Operations Research, Management Science
Computational Science and Engineering
Persona (resp. second.): EichholzJoseph
Nota di contenuto: Chapter 1. Solving Single Variable Equations -- Chapter 2. Solving Systems of Equations -- Chapter 3. Approximation -- Chapter 4. Optimization -- Chapter 5. Ordinary Differential Equations -- Chapter 6. Stochastic Methods & Simulation -- Chapter 7. Computing Considerations -- Chapter 8. Modeling with Matrices -- Chapter 9. Modeling with Ordinary Differential Equations -- Chapter 10. Modeling with Delayed Differential Equations -- Chapter 11. Partial Differential Equations -- Chapter 12. Modeling with Optimization and Simulation -- Chapter 13. Regression Modeling -- Appendix A.
Sommario/riassunto: This textbook provides an introduction to the growing interdisciplinary field of computational science. It combines a foundational development of numerical methods with a variety of illustrative applications spread across numerous areas of science and engineering. The intended audience is the undergraduate who has completed introductory coursework in mathematics and computer science. Students gain computational acuity by authoring their own numerical routines and by practicing with numerical methods as they solve computational models. This education encourages students to learn the importance of answering: How expensive is a calculation, how trustworthy is a calculation, and how might we model a problem to apply a desired numerical method? The text is written in two parts. Part I provides a succinct, one-term inauguration into the primary routines on which a further study of computational science rests. The material is organized so that the transition to computational science from coursework in calculus, differential equations, and linear algebra is natural. Beyond the mathematical and computational content of Part I, students gain proficiency with elemental programming constructs and visualization, which are presented in MATLAB syntax. The focus of Part II is modeling, wherein students build computational models, compute solutions, and report their findings. The models purposely intersect numerous areas of science and engineering to demonstrate the pervasive role played by computational science.
Titolo autorizzato: An Introduction to Computational Science  Visualizza cluster
ISBN: 3-030-15679-6
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910337821703321
Lo trovi qui: Univ. Federico II
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Serie: International Series in Operations Research & Management Science, . 0884-8289 ; ; 278