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E-raamat: Ordinary and Partial Differential Equation Routines in C, Cplusplus, Fortran, Java, Maple, and MATLAB [Taylor & Francis e-raamat]

(Lehigh University, Bethlehem, Pennsylvania, USA), (Arizona State University, Tempe, USA)
  • Formaat: 528 pages, 10 Illustrations, black and white
  • Ilmumisaeg: 24-Nov-2003
  • Kirjastus: Chapman & Hall/CRC
  • ISBN-13: 9780429214707
Teised raamatud teemal:
  • Taylor & Francis e-raamat
  • Hind: 281,59 €*
  • * hind, mis tagab piiramatu üheaegsete kasutajate arvuga ligipääsu piiramatuks ajaks
  • Tavahind: 402,26 €
  • Säästad 30%
  • Formaat: 528 pages, 10 Illustrations, black and white
  • Ilmumisaeg: 24-Nov-2003
  • Kirjastus: Chapman & Hall/CRC
  • ISBN-13: 9780429214707
Teised raamatud teemal:
Scientists and engineers attempting to solve complex problems require efficient, effective ways of applying numerical methods to ODEs and PDEs. They need a resource that enables fast access to library routines in their choice of a programming language.Ordinary and Partial Differential Equation Routines in C, C++, Fortran, Java, Maple, and MATLAB provides a set of ODE/PDE integration routines in the six most widely used languages in science and engineering, enabling scientists and engineers to apply ODE/PDE analysis toward solving complex problems.This text concisely reviews integration algorithms, then analyzes the widely used Runge Kutta method ( since hyphenation is used here, I added it below; hyphenation could also be dropped since it is not used in the book). It first presents a complete code before discussing its components in detail, focusing on integration concepts such as error monitoring and control. The format allows you to understand the basics of ODE/PDE integration, then calculate sample numerical solutions within your targeted programming language. The applications discussed can be used as templates for the development of a spectrum of new applications and associated codes.
1 Some Basics of ODE Integration 1(106)
1.1 General Initial Value ODE Problem
1(6)
1.2 Origin of ODE Integrators in the Taylor Series
7(6)
1.3 The Runge Kutta Method
13(5)
1.4 Accuracy of RK Methods
18(33)
1.5 Embedded RK Algorithms
51(21)
1.6 Library ODE Integrators
72(23)
1.7 Stability of RK Methods
95(12)
2 Solution of a 1x1 ODE System 107(184)
2.1 Programming in MATLAB
107(36)
2.2 Programming in C
143(31)
2.3 Programming in C++
174(32)
2.4 Programming in Fortran
206(26)
2.5 Programming in Java
232(31)
2.6 Programming in Maple
263(28)
3 Solution of a 2x2 ODE System 291(48)
3.1 Programming in MATLAB
291(7)
3.2 Programming in C
298(8)
3.3 Programming in C++
306(8)
3.4 Programming in Fortran
314(7)
3.5 Programming in Java
321(8)
3.6 Programming in Maple
329(10)
4 Solution of a Linear PDE 339(58)
4.1 Programming in MATLAB
344(15)
4.2 Programming in C
359(7)
4.3 Programming in C++
366(8)
4.4 Programming in Fortrav
374(6)
4.5 Programming in Java
380(7)
4.6 Programming in Maple
387(10)
5 Solution of a Nonlinear PDE 397(54)
5.1 Programming in MATLAB
402(9)
5.2 Programming in C
411(7)
5.3 Programming in C++
418(7)
5.4 Programming in Fortran
425(6)
5.5 Programming in Java
431(7)
5.6 Programming in Maple
438(13)
Appendix A Embedded Runge Kutta Pairs 451(8)
Appendix B Integrals from ODES 459(6)
Appendix C Stiff ODE Integration 465(24)
C.1 The BDF Formulas Applied to the 2x2 ODE System
465(3)
C.2 MATLAB Program for the Solution of the 2x2 ODE System
468(9)
C.3 MATLAB Program for the Solution of the 2x2 ODE System Using ode23s and odel5s
477(12)
Appendix D Alternative Forms of ODES 489(4)
Appendix E Spatial p Refinement 493(10)
Appendix F Testing ODEIPDE Codes 503(8)
Index 511


Lee, H.J.; Schiesser, W.E.