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Books on the topic 'Differential equations system'

Author: Grafiati

Published: 5 June 2025

Last updated: 24 June 2025

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1

Ilchmann, Achim. Surveys in Differential-Algebraic Equations I. Springer Berlin Heidelberg, 2013.

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2

Maury, Bertrand. The Respiratory System in Equations. Springer Milan, 2013.

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3

Arendt, Wolfgang, Joseph A. Ball, Jussi Behrndt, Karl-Heinz Förster, Volker Mehrmann, and Carsten Trunk, eds. Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations. Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0297-0.

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4

Verhulst, Ferdinand. Nonlinear differential equations and dynamical systems. Springer-Verlag, 1990.

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5

Arrowsmith, D. K. Dynamical systems: Differential equations, maps, and chaotic behaviour. Chapman & Hall, 1992.

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6

Arrowsmith, D. K. Dynamical systems: Differential equations, maps, and chaotic behaviour. Chapman & Hall, 1998.

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7

Arrowsmith, D. K. Dynamical systems: Differential equations, maps and chaotic behaviour. Chapman & Hall, 1992.

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8

Kunita, Hiroshi. Stochastic flows and stochastic differential equations. Cambridge UniversityPress, 1990.

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9

Vidyasagar, M. Non-linear systems analysis. 2nd ed. Prentice-Hall International (UK), 1993.

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10

Kaikko, Juha. Performance prediction of gas turbines by solving a system of non-linear equations. Lappeenranta University of Technology, 1998.

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11

Institute Of Electrical and Electronics Engineers. IEEE standards multivalue logic system for VHDL model interoperability (Std-logic-1164). Institute of Electrical and Electronics Engineers, 1993.

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12

Crespo, Luis G. Differential flatness and cooperative tracking in the Lorenz system. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 2002.

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13

Sharkovskiĭ, Aleksandr Nikolaevich. Dinamicheskie sistemy i different︠s︡ialʹno-raznostnye uravnenii︠a︡: Sbornik nauchnykh trudov. Institut matematiki AN USSR, 1986.

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14

Zajączkowski, Wojciech M. Existence and regularity of solutions of some elliptic system in domains with edges. Państwowe Wydawn. Nauk., 1988.

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15

Layton, Richard A. Principles of analytical system dynamics. Springer, 1998.

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16

Thomas, Banks H., Fabiano R. H, Itō Kiyosi 1915-, Society for Industrial and Applied Mathematics., and AMS-IMS-SIAM Joint Summer Research Conference on Control and Identification of Partial Differential Equations (1992 : Mount Holyoke College), eds. Identification and control in systems governed by partial differential equations. Society for Industrial and Applied Mathematics, 1993.

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17

1952-, Kunisch K. (Karl), and SpringerLink (Online service), eds. Optimal control of coupled systems of partial differential equations. Birkhäuser Verlag, 2009.

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18

Simos, Th. Forecasting quarterly GDP using a system of stochastic differential equations. Centre of Planning and Economic Research, 2002.

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19

Hackbusch, Wolfgang. Elliptic Differential Equations: Theory and Numerical Treatment. Springer-Verlag Berlin Heidelberg, 2010.

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20

A, Martyni͡u︡k A., and Shestakov A. A, eds. Stability of motion of nonautonomous systems: (method of limiting equations). Gordon and Breach, 1996.

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21

Drazin, P. G. Nonlinear systems. Cambridge University Press, 1992.

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22

Drazin, P. G. Nonlinear systems. Cambridge University Press, 1992.

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23

Wloka, Joseph. Boundary value problems for elliptic systems. Cambridge University Press, 1995.

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24

H, Hubbard John. Newton's method applied to two quadratic equations in C₂ viewed as a global dynamical system. American Mathematical Society, 2008.

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25

service), SpringerLink (Online, ed. Delay compensation for nonlinear, adaptive, and PDE systems. Birkhäuser, 2009.

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26

Kukhta, Konstantin I͡Akovlevich. Kachestvennai͡a teorii͡a upravli͡aemykh dinamicheskikh sistem s nepreryvno-diskretnymi parametrami. Nauk. dumka, 1986.

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27

Hartley, T. T. Fractional system identification: An approach using continuous order-distributions. National Aeronautics and Space Administration, Glenn Research Center, 1999.

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28

M, Johnson R. Linear differential and difference equations: A systems approach for mathematicians and engineers. Albion Pub., 1997.

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29

Alabau-Boussouira, Fatiha. Control of Partial Differential Equations: Cetraro, Italy 2010, Editors: Piermarco Cannarsa, Jean-Michel Coron. Springer Berlin Heidelberg, 2012.

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30

George, Weiss, ed. Observation and control for operator semigroups. Birkhäuser, 2009.

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31

José, Pacifico Maria, ed. Three-dimensional flows. Springer Verlag, 2010.

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32

Grusa, Karl-Ulrich. Mathematical analysis of nonlinear dynamic processes: An introduction to processes governed by partial differential equations. Longman Scientific & Technical, 1988.

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33

Johannes, Gottlieb, DuChateau Paul, and Workshop on Parameter Identification and Inverse Problems in Hydrology, Geology, and Ecology (1995 : Karlsruhe, Germany), eds. Parameter identification and inverse problems in hydrology, geology, and ecology. Kluwer Academic Publishers, 1996.

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34

Balachandran, Balakumar, David E. Gilsinn, and Tamás Kalmár-Nagy. Delay Differential Equations. Springer, 2009.

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35

Stability Technique for Evolution Partial Differential Equations: A Dynamical System... Birkhauser (Architectural), 2003.

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36

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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37

Kleyn, Aleks. System of Differential Equations over Banach Algebra. Independently published, 2019.

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38

Perko, Lawrence. Differential Equations and Dynamical Systems. Springer London, Limited, 2012.

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39

Perko, Lawrence. Differential Equations and Dynamical Systems. Springer, 2013.

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40

Perko, Lawrence. Differential Equations and Dynamical Systems. Springer London, Limited, 2013.

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41

Ilchmann, Achim, and Timo Reis. Surveys in Differential-Algebraic Equations I. Springer, 2013.

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42

Filatova, Darya V., and Mounir Zili. Stochastic Differential Equations and Processes. Springer, 2013.

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43

Differential Equations and Dynamical Systems. 3rd ed. Springer, 2001.

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44

Differential Equations and Dynamical Systems. Springer, 1996.

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45

Differential equations and dynamical systems. Springer-Verlag, 1991.

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46

Differential equations and dynamical systems. 2nd ed. Springer-Verlag, 1993.

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47

Differential Equations and Dynamical Systems. Springer, 2001.

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48

Differential Equations and Dynamical Systems. Springer, 2012.

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49

Differential equations and dynamical systems. 2nd ed. Springer, 1996.

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50

Differential Equations and Dynamical Systems. Island Press, 1996.

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