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Books on the topic 'Ordinary differential equations'

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Author: Grafiati

Published: 4 June 2021

Last updated: 30 July 2024

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1

Wolfgang, Walter. Ordinary differential equations. New York: Springer, 1998.

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2

Adkins, William A., and Mark G. Davidson. Ordinary Differential Equations. New York, NY: Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-3618-8.

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3

Walter, Wolfgang. Ordinary Differential Equations. New York, NY: Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4612-0601-9.

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4

Logemann, Hartmut, and Eugene P. Ryan. Ordinary Differential Equations. London: Springer London, 2014. http://dx.doi.org/10.1007/978-1-4471-6398-5.

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5

Tahir-Kheli, Raza. Ordinary Differential Equations. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-76406-1.

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6

Petrovski, I. G. Ordinary differential equations. London: Dover, 1985.

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7

Krasnov, M. L. Ordinary differential equations. Moscow: Mir Publishers, 1987.

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8

1932-, Rota Gian-Carlo, ed. Ordinary differential equations. 4th ed. New York: Wiley, 1989.

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9

Krasnov, M. L. Ordinary differential equations. Moscow: Mir, 1987.

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10

Adkins, William A. Ordinary Differential Equations. New York, NY: Springer New York, 2012.

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11

Krasnov, M. L. Ordinary differential equations. Moscow: Mir Publishers(distributed by Central Bks), 1987.

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12

Birkhoff, Garrett. Ordinary differential equations. 4th ed. New York: Wiley, 1989.

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13

Carrier, George F. Ordinary differential equations. Philadelphia: Society for Industrial and Applied Mathematics, 1991.

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14

Henner, Victor, Alexander Nepomnyashchy, Tatyana Belozerova, and Mikhail Khenner. Ordinary Differential Equations. Cham: Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-25130-6.

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15

I, Arnolʹd V. Ordinary differential equations. 3rd ed. Berlin: New York, 1992.

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16

A, Luque, Drabek P. 1953-, and Fonda Alessandro, eds. Handbook of differential equations: Ordinary differential equations. Amsterdam: Elsevier/North Holland, 2004.

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17

Battelli, Flaviano. Handbook of differential equations: Ordinary differential equations. Amsterdam: North Holland, 2008.

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18

Schwabik, Štefan. Generalized ordinary differential equations. Singapore: World Scientific, 1992.

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19

Hermann, Martin, and Masoud Saravi. Nonlinear Ordinary Differential Equations. New Delhi: Springer India, 2016. http://dx.doi.org/10.1007/978-81-322-2812-7.

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20

Hairer, E. Solving ordinary differential equations. 2nd ed. Berlin: Springer, 1996.

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21

Magnus, Robert. Essential Ordinary Differential Equations. Cham: Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-11531-8.

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22

1944-, Nørsett S. P., and Wanner Gerhard, eds. Solving ordinary differential equations. 2nd ed. Berlin: Springer-Verlag, 1993.

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23

Ola, Fatunla Simeon, ed. Computational ordinary differential equations. Ibadan: University Press, 1992.

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24

Coddington, Earl A. Linear ordinary differential equations. Philadelphia: SIAM, 1997.

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25

Hairer, E. Solving ordinary differential equations. Berlin: Springer-Verlag, 1991.

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26

Coddington, Earl A. Linear ordinary differential equations. Philadelphia: Society for Industrial and Applied Mathematics, 1997.

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27

Grimshaw, R. Nonlinear ordinary differential equations. Oxford [England]: Blackwell Scientific Publications, 1990.

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28

R, Cash Jeffrey, Gladwell Ian, and Institute of Mathematics and its Applications., eds. Computational ordinary differential equations. Oxford: Oxford University Press, 1992.

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29

Boudreau, Joseph F., and Eric S. Swanson. Ordinary differential equations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198708636.003.0011.

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Abstract:

This chapter surveys the ordinary differential equations (ODEs) that occur in classical and quantum mechanics, and describes both numerical algorithms and appropriate software design for solving them. Systems of ordinary differential equations, together with a few constants of integration, can in most cases be regarded as a means of defining a function (the “solution”). In this chapter, we develop an object-oriented architecture that applies integrators of the Runge-Kutta family to create these functions. Together with an automatic derivative system for generating partial derivatives from functions of one or more variables, the differential equation solver becomes a powerful tool for solving a variety of few-body problems in classical Hamiltonian systems. This chapter presents a blend of numerical algorithms, physics, and computing techniques. The phenomenon of energy drift is discussed and used to motivate symplectic solvers. Techniques such as adaptive step size and possible problems with stability and multiple scales are also discussed.

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30

Greenberg, Michael D. Ordinary Differential Equations. Wiley & Sons, Incorporated, John, 2014.

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31

Davidson, Mark G., and William A. Adkins. Ordinary Differential Equations. Springer New York, 2015.

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32

Zhitomirskii, Michail. Ordinary Differential Equations. WORLD SCIENTIFIC, 2021. http://dx.doi.org/10.1142/11590.

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33

Ordinary Differential Equations. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/3-540-34564-7.

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34

Ordinary Differential Equations. Elsevier, 2008. http://dx.doi.org/10.1016/s1874-5725(08)x8001-0.

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35

Howell, Kenneth B. Ordinary Differential Equations. CRC Press, 2018. http://dx.doi.org/10.1201/9780429466090.

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36

Howell, Kenneth B. Ordinary Differential Equations. CRC Press, 2019. http://dx.doi.org/10.1201/9780429347429.

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37

Roberts, Charles. Ordinary Differential Equations. Chapman and Hall/CRC, 2010. http://dx.doi.org/10.1201/b15111.

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38

Ordinary Differential Equations. CRC Press, 2015. http://dx.doi.org/10.1201/b19729.

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39

Cronin, Jane. Ordinary Differential Equations. CRC Press, 2007. http://dx.doi.org/10.1201/b17251.

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40

(Translator), E. J. Primrose, ed. Ordinary Differential Equations. Frederick Ungar, 1987.

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41

Arnold, Valdimir I. Ordinary Differential Equations. Independently Published, 2020.

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42

Ordinary differential equations. Hoboken, N.J: Wiley, 2012.

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43

Ordinary differential equations. Mineola, N.Y: Dover Publications, 2009.

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44

Ordinary differential equations. New York, N.Y: HarperPerennial, 1992.

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45

Greenberg, Michael D. Ordinary Differential Equations. Wiley & Sons, Incorporated, John, 2012.

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46

Michel, Anthony N., and Richard K. Miller. Ordinary Differential Equations. Elsevier Science & Technology Books, 2014.

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47

Michel, Anthony N., and Richard K. Miller. Ordinary Differential Equations. Dover Publications, 2007.

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48

Lebovitz, Norman R. Ordinary Differential Equations. Brooks/Cole Pub Co, 2002.

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49

Sever, Michael. Ordinary Differential Equations. Boole Press Ltd, 1987.

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50

Krasnov, M. L. Ordinary Differential Equations. Imported Pubn, 1987.

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