LEADER 01851oam 2200505I 450 001 9910704476303321 005 20130625163612.0 035 $a(CKB)5470000002440929 035 $a(OCoLC)828681644 035 $a(EXLCZ)995470000002440929 100 $a20130228d1987 ua 0 101 0 $aeng 135 $aurbn||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aInverse problems in the modeling of vibrations of flexible beams $efinal report /$fH.T. Banks, R.K. Powers, I.G. Rosen 210 1$aHampton, Va. :$cInstitute for Computer Applications in Science and Engineering, NASA Langley Research Center,$d[1987] 215 $a1 online resource (i, 21 pages) $cillustrations 225 1 $aNASA contractor report ;$v178259 225 1 $aICASE report ;$vno. 87-10 300 $aTitle from title screen (viewed on Feb. 28, 2013). 300 $a"February 1987." 320 $aIncludes bibliographical references (pages 20-21). 517 $aInverse problems in the modeling of vibrations of flexible beams 606 $aBeams (supports)$2nasat 606 $aFlexible bodies$2nasat 606 $aMathematical models$2nasat 606 $aVibration damping$2nasat 615 7$aBeams (supports) 615 7$aFlexible bodies. 615 7$aMathematical models. 615 7$aVibration damping. 700 $aBanks$b H. T.$01422303 702 $aPowers$b R. K. 702 $aRosen$b I. Gary 712 02$aInstitute for Computer Applications in Science and Engineering, 712 02$aUnited States.$bNational Aeronautics and Space Administration, 801 0$bGPO 801 1$bGPO 801 2$bGPO 906 $aBOOK 912 $a9910704476303321 996 $aInverse problems in the modeling of vibrations of flexible beams$93546137 997 $aUNINA LEADER 05446nam 22007095 450 001 9910645894003321 005 20231204161614.0 010 $a9783031120008$b(electronic bk.) 010 $z9783031119996 024 7 $a10.1007/978-3-031-12000-8 035 $a(MiAaPQ)EBC7184607 035 $a(Au-PeEL)EBL7184607 035 $a(CKB)26028010100041 035 $a(DE-He213)978-3-031-12000-8 035 $a(PPN)267811047 035 $a(EXLCZ)9926028010100041 100 $a20230119d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDifference Matrices for ODE and PDE $eA MATLAB® Companion /$fby John M. Neuberger 205 $a1st ed. 2023. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2023. 215 $a1 online resource (212 pages) 311 08$aPrint version: Neuberger, John M. Difference Matrices for ODE and PDE Cham : Springer International Publishing AG,c2023 9783031119996 320 $aIncludes bibliographical references. 327 $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. 330 $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. 606 $aMathematics?Data processing 606 $aDifference equations 606 $aFunctional equations 606 $aMathematical analysis 606 $aComputational Mathematics and Numerical Analysis 606 $aDifference and Functional Equations 606 $aAnalysis 606 $aEquacions diferencials$2thub 606 $aEquacions en derivades parcials$2thub 606 $aProgrames d'ordinador 2thub 606 $aAlgorismes 2thub 608 $aLlibres electrònics$2thub 615 0$aMathematics?Data processing. 615 0$aDifference equations. 615 0$aFunctional equations. 615 0$aMathematical analysis. 615 14$aComputational Mathematics and Numerical Analysis. 615 24$aDifference and Functional Equations. 615 24$aAnalysis. 615 7$aEquacions diferencials. 615 7$aEquacions en derivades parcials. 615 7$aProgrames d'ordinador 2thub 615 7$aAlgorismes 2thub 676 $a515.625 676 $a515.3520285 700 $aNeuberger$b John M.$f1962-$01353363 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910645894003321 996 $aDifference Matrices for ODE and PDE$93251595 997 $aUNINA