001468296 000__ 04937cam\\22006137a\4500
001468296 001__ 1468296
001468296 003__ OCoLC
001468296 005__ 20230707003245.0
001468296 006__ m\\\\\o\\d\\\\\\\\
001468296 007__ cr\un\nnnunnun
001468296 008__ 230530s2023\\\\si\\\\\\ob\\\\001\0\eng\d
001468296 019__ $$a1381093794
001468296 020__ $$a9789811992636$$q(electronic bk.)
001468296 020__ $$a9811992630$$q(electronic bk.)
001468296 020__ $$z9811992622
001468296 020__ $$z9789811992629
001468296 0247_ $$a10.1007/978-981-19-9263-6$$2doi
001468296 035__ $$aSP(OCoLC)1380615327
001468296 040__ $$aYDX$$beng$$cYDX$$dGW5XE$$dEBLCP
001468296 049__ $$aISEA
001468296 050_4 $$aQA371
001468296 08204 $$a515/.35$$223/eng/20230605
001468296 1001_ $$aMitsui, T.$$q(Taketomo)
001468296 24510 $$aNumerical analysis of ordinary and delay differential equations /$$cTaketomo Mitsui, Guang-Da Hu.
001468296 260__ $$aSingapore :$$bSpringer,$$c2023.
001468296 300__ $$a1 online resource.
001468296 4901_ $$aMatematica per il 3+2
001468296 4901_ $$aUNITEXT ;$$vv. 145
001468296 504__ $$aIncludes bibliographical references and index.
001468296 5050_ $$aChapter 1. Introduction -- Chapter 2. Initial-value Problems -- Chapter 3. Runge-Kutta Methods for ODEs -- Chapter 4. Polynomial Interpolation -- Chapter 5. Linear Multistep Methods for ODEs -- Chapter 6. Analytical Theory of Delay Differential Equations -- Chapter 7. Numerical DDEs and Their Stability -- Bibliography -- References.
001468296 506__ $$aAccess limited to authorized users.
001468296 520__ $$aThis book serves as a concise textbook for students in an advanced undergraduate or first-year graduate course in various disciplines such as applied mathematics, control, and engineering, who want to understand the modern standard of numerical methods of ordinary and delay differential equations. Experts in the same fields can also learn about the recent developments in numerical analysis of such differential systems. Ordinary differential equations (ODEs) provide a strong mathematical tool to express a wide variety of phenomena in science and engineering. Along with its own significance, one of the powerful directions toward which ODEs extend is to incorporate an unknown function with delayed argument. This is called delay differential equations (DDEs), which often appear in mathematical modelling of biology, demography, epidemiology, and control theory. In some cases, the solution of a differential equation can be obtained by algebraic combinations of known mathematical functions. In many practical cases, however, such a solution is quite difficult or unavailable, and numerical approximations are called for. Modern development of computers accelerates the situation and, moreover, launches more possibilities of numerical means. Henceforth, the knowledge and expertise of the numerical solution of differential equations becomes a requirement in broad areas of science and engineering. One might think that a well-organized software package such as MATLAB serves much the same solution. In a sense, this is true; but it must be kept in mind that blind employment of software packages misleads the user. The gist of numerical solution of differential equations still must be learned. The present book is intended to provide the essence of numerical solutions of ordinary differential equations as well as of delay differential equations. Particularly, the authors noted that there are still few concise textbooks of delay differential equations, and then they set about filling the gap through descriptions as transparent as possible. Major algorithms of numerical solution are clearly described in this book. The stability of solutions of ODEs and DDEs is crucial as well. The book introduces the asymptotic stability of analytical and numerical solutions and provides a practical way to analyze their stability by employing a theory of complex functions.
001468296 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed June 5, 2023).
001468296 650_0 $$aDifferential equations.
001468296 650_0 $$aNumerical analysis.
001468296 655_0 $$aElectronic books.
001468296 7001_ $$aHu, Guang-Da.
001468296 77608 $$iPrint version: $$z9811992622$$z9789811992629$$w(OCoLC)1355185459
001468296 830_0 $$aUnitext.$$pMatematica per il 3+2.
001468296 830_0 $$aUnitext ;$$vv. 145.
001468296 852__ $$bebk
001468296 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-981-19-9263-6$$zOnline Access$$91397441.1
001468296 909CO $$ooai:library.usi.edu:1468296$$pGLOBAL_SET
001468296 980__ $$aBIB
001468296 980__ $$aEBOOK
001468296 982__ $$aEbook
001468296 983__ $$aOnline
001468296 994__ $$a92$$bISE