001454271 000__ 05030cam\a2200541\i\4500
001454271 001__ 1454271
001454271 003__ OCoLC
001454271 005__ 20230314003510.0
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001454271 019__ $$a1364344878
001454271 020__ $$a9783031120008$$q(electronic bk.)
001454271 020__ $$a3031120000$$q(electronic bk.)
001454271 020__ $$z9783031119996
001454271 020__ $$z3031119991
001454271 0247_ $$a10.1007/978-3-031-12000-8$$2doi
001454271 035__ $$aSP(OCoLC)1367327026
001454271 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDX
001454271 049__ $$aISEA
001454271 050_4 $$aQA371.5.D37
001454271 08204 $$a515.3520285$$223/eng/20230131
001454271 1001_ $$aNeuberger, John M.,$$d1962-$$eauthor.$$1https://isni.org/isni/0000000114658960
001454271 24510 $$aDifference matrices for ODE and PDE :$$ba MATLAB companion /$$cJohn M. Neuberger.
001454271 264_1 $$aCham :$$bSpringer,$$c2022.
001454271 300__ $$a1 online resource (1 volume) :$$billustrations (black and white, and colour).
001454271 336__ $$atext$$btxt$$2rdacontent
001454271 337__ $$acomputer$$bc$$2rdamedia
001454271 338__ $$aonline resource$$bcr$$2rdacarrier
001454271 504__ $$aIncludes bibliographical references.
001454271 5050_ $$a1. Introduction -- 2. Review of elementary numerical methods and MATLAB(R) -- 3. Ordinary Differential Equations -- 4. Partial Differential Equations -- 5. Advanced topics in semilinear elliptic BVP -- References.
001454271 506__ $$aAccess limited to authorized users.
001454271 520__ $$aThe use of difference matrices and high-level MATLAB commands to implement finite difference algorithms is pedagogically novel. This unique and concise textbook gives the reader easy access and a general ability to use first and second difference matrices to set up and solve linear and nonlinear systems in MATLAB which approximate ordinary and partial differential equations. Prerequisites include a knowledge of basic calculus, linear algebra, and ordinary differential equations. Some knowledge of partial differential equations is a plus though the text may easily serve as a supplement for the student currently working through an introductory PDEs course. Familiarity with MATLAB is not required though a little prior experience with programming would be helpful.In addition to its special focus on solving in MATLAB, the abundance of examples and exercises make this text versatile in use. It would serve well in a graduate course in introductory scientific computing for partial differential equations. With prerequisites mentioned above plus some elementary numerical analysis, most of the material can be covered and many of the exercises assigned in a single semester course. Some of the more challenging exercises make substantial projects and relate to topics from other typical graduate mathematics courses, e.g., linear algebra, differential equations, or topics in nonlinear functional analysis. A selection of the exercises may be assigned as projects throughout the semester. The student will develop the skills to run simulations corresponding to the primarily theoretical course material covered by the instructor. The book can serve as a supplement for the instructor teaching any course in differential equations. Many of the examples can be easily implemented and the resulting simulation demonstrated by the instructor. If the course has a numerical component, a few of the more difficult exercises may be assigned as student projects. Established researchers in theoretical partial differential equations may find this book useful as well, particularly as an introductory guide for their research students. Those unfamiliar with MATLAB can use the material as a reference to quickly develop their own applications in that language. Practical assistance in implementing algorithms in MATLAB can be found in these pages. A mathematician who is new to the practical implementation of methods for scientific computation in general can learn how to implement and execute numerical simulations of differential equations in MATLAB with relative ease by working through a selection of exercises. Additionally, the book can serve as a practical guide in independent study, undergraduate or graduate research experiences, or for reference in simulating solutions to specific thesis or dissertation-related experiments.
001454271 588__ $$aDescription based on print version record.
001454271 63000 $$aMATLAB.
001454271 650_0 $$aDifferential equations$$xComputer programs.
001454271 650_0 $$aDifferential equations, Partial$$xComputer programs.
001454271 650_0 $$aNumerical analysis$$xComputer programs.
001454271 650_0 $$aAlgorithms.
001454271 650_0 $$aComputer science$$xMathematics.
001454271 655_0 $$aElectronic books.
001454271 77608 $$iPrint version:$$aNeuberger, John M., 1962-$$tDifference matrices for ODE and PDE.$$dCham : Springer, 2022$$z9783031119996$$w(OCoLC)1346317749
001454271 852__ $$bebk
001454271 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-12000-8$$zOnline Access$$91397441.1
001454271 909CO $$ooai:library.usi.edu:1454271$$pGLOBAL_SET
001454271 980__ $$aBIB
001454271 980__ $$aEBOOK
001454271 982__ $$aEbook
001454271 983__ $$aOnline
001454271 994__ $$a92$$bISE