Solving Ordinary Differential Equations I. Nonstiff Problems. Authors. Hairer, Ernst. Norsett, Syvert Paul. Wanner, Gerhard. Publication, Berlin: Springer, Ernst Hairer: Syvert Paul Nørsett: Gerhard Wanner: Solving Ordinary Differential Equations I. Nonstiff Problems. Springer Series in Comput. Mathematics, Vol. Hairer, E.; Norsett, S. P.; Wanner, G., Solving Ordinary Differential Equations. I: Nonstiff Problems. Berlin etc., Springer‐Verlag XIV, pp., figs., DM.

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Reactive transport in aquatic ecosystems: Solving ordinary differential equations i: This book is highly recommended as a text for courses in numerical methods for ordinary differential equations and as a reference for the worker. Using Krylov methods in the solution of large-scale differential-algebraic systems.

Ernst Hairer

Automatic selection of methods for solving stiff and nonstiff systems of ordinary differential equations. This book deals with methods for solving nonstiff ordinary differential equations.


Chapter three begins with the classical theory of multistep methods, and concludes with the theory of general linear methods.

This book is well written and is together with Vol. The interpolation uses slightly differenct coefficients than the implementation in the reference.

Solving Ordinary Differential Equations I. Nonstiff Problems | Archive ouverte UNIGE

Papers about related software: Journal of Statistical Software. Sign in to answer this question.

For details of the implementation refer to the NTRP45 function which can be viewed using the following command: Solving boundary value problems in the open source software r: Select the China site in Chinese or English for best site performance. Soetaert K, Petzoldt T.

Society for Industrial; Applied Mathematics; ; Reduced storage matrix methods in stiff oDE systems. A family of embedded Runge-Kutta formulae.

A 3 2 pair of Runge-Kutta formulas. Solving differential equations in R. Solving differential equations in r [Internet].

Solving Ordinary Differential Equations I

References of the original algorithms Runge-Kutta algorithms: You are now following this question You will see updates in your activity feed. Choose a web site to get translated content where available and see local events and offers.


Soetaert K, Meysman F. I published in Using r for systems understanding – a dynamic approach [Internet]. Entscheidungshilfe zur auswahl und nutzung.

deSolve Bibliography

The first chapter describes the historical development of the classical theory, and the second chapter includes a modern treatment of Runge-Kutta and extrapolation methods. Engeln-Muellges G, Reutter F. Bogacki P, Shampine LF. It may serve a a text book for graduate courses, The syntax of the ODE45 function is as follows: How model coupling with r helps to improve water quality.

MathWorks Support Team view profile. Rapid model prototyping in the open source software R.