LEADER 00994nam a2200253 i 4500 001 991003211009707536 005 20020509114121.0 008 970419s1964 de ||| | ger 035 $ab11126085-39ule_inst 035 $aPARLA177325$9ExL 040 $aDip.to Filol. Class. e Med.$bita 082 0 $a873.01 100 1 $aPöschl, Viktor$0414066 245 14$aDie Hirtendichtung Virgils /$cViktor Pöschl 260 $aHeidelberg :$bWinter,$c1964 300 $a154 p. ;$c20 cm. 650 4$aVirgilio Marone, Publio$xSaggio critico 907 $a.b11126085$b02-04-14$c28-06-02 912 $a991003211009707536 945 $aLE007 870.1 Vergilius POS 01.501$g1$i2007000010853$lle007$o-$pE0.00$q-$rl$s- $t0$u0$v0$w0$x0$y.i11264184$z28-06-02 945 $aLE007 870.1 Vergilius POS 01.501$g2$i2015000021557$lle007$o-$pE0.00$q-$rl$s- $t0$u0$v0$w0$x0$y.i11264196$z28-06-02 996 $aHirtendichtung Virgils$9560442 997 $aUNISALENTO 998 $ale007$b01-01-97$cm$da $e-$fger$gde $h4$i2 LEADER 04259nam 22006375 450 001 9910742484603321 005 20251009085010.0 010 $a3-031-33556-2 024 7 $a10.1007/978-3-031-33556-3 035 $a(MiAaPQ)EBC30719756 035 $a(Au-PeEL)EBL30719756 035 $a(DE-He213)978-3-031-33556-3 035 $a(PPN)272273562 035 $a(CKB)28044438700041 035 $a(EXLCZ)9928044438700041 100 $a20230823d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNumerical Methods for Initial Value Problems in Physics /$fby Francisco S. Guzmán 205 $a1st ed. 2023. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2023. 215 $a1 online resource (365 pages) 311 08$aPrint version: Guzmán, Francisco S. Numerical Methods for Initial Value Problems in Physics Cham : Springer,c2023 9783031335556 320 $aIncludes bibliographical references and index. 327 $aChapter1. Introduction -- Chapter2. Ordinary Differential Equations -- Chapter3. Simple Methods for Initial Value Problems Involving PDEs -- Chapter4. Method of Lines for Initial Value Problems Involving PDEs -- Chapter5. Finite Volume Methods -- Chapter6. Initial Value Problems in 3+1 and 2+1 dimensions -- Chapter7. Appendix A: Stability of Evolution Schemes -- Chapter8. Appendix B: Codes. 330 $aThis textbook is a comprehensive overview of the construction, implementation, and application of important numerical methods for the solution of Initial Value Problems (IVPs). Beginning with IVPs involving Ordinary Differential Equations (ODEs) and progressing to problems with Partial Differential Equations (PDEs) in 1+1 and 3+1 dimensions, it provides readers with a clear and systematic progression from simple to complex concepts. The numerical methods selected in this textbook can solve a considerable variety of problems and the applications presented cover a wide range of topics, including population dynamics, chaos, celestial mechanics, geophysics, astrophysics, and more. Each chapter contains a variety of solved problems and exercises, with code included. These examples are designed to motivate and inspire readers to delve deeper into the state-of-the-art problems in their own fields. The code is written in Fortran 90, in a library-free style, making them easy to program and efficient to run. The appendix also includes the same code in C++, making the book accessible to a variety of programming backgrounds. At the end of each chapter, there are brief descriptions of how the methods could be improved, along with one or two projects that can be developed with the methods and codes described. These projects are highly engaging, from synchronization of chaos and message encryption to gravitational waves emitted by a binary system and non-linear absorption of a scalar field. With its clear explanations, hands-on approach, and practical examples, this textbook is an essential resource for advanced undergraduate and graduate students who want to the learn how to use numerical methods to tackle challenging problems. 606 $aMathematical physics 606 $aMathematics$xData processing 606 $aDifferential equations 606 $aSystem theory 606 $aMathematical Methods in Physics 606 $aComputational Mathematics and Numerical Analysis 606 $aMathematical Physics 606 $aDifferential Equations 606 $aComplex Systems 615 0$aMathematical physics. 615 0$aMathematics$xData processing. 615 0$aDifferential equations. 615 0$aSystem theory. 615 14$aMathematical Methods in Physics. 615 24$aComputational Mathematics and Numerical Analysis. 615 24$aMathematical Physics. 615 24$aDifferential Equations. 615 24$aComplex Systems. 676 $a530.151535 700 $aGuzma?n$b Francisco S.$01425548 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910742484603321 996 $aNumerical Methods for Initial Value Problems in Physics$93555966 997 $aUNINA