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Solving Ordinary Differential Equations I: Nonstiff Problems by Ernst Hairer, Gerhard Wanner, Syvert P. Nørsett

Solving Ordinary Differential Equations I: Nonstiff Problems Ernst Hairer, Gerhard Wanner, Syvert P. Nørsett ebook
Page: 539
Publisher: Springer
ISBN: 3540566708, 9783540566700
Format: djvu

Solving Ordinary Differential Equations I: Nonstiff Problems (Springer Series in Computational Mathematics);Ernst Hairer, Syvert P. Shastri Anant R., Element of Differential Topology, CRC, February 2011. More >>; Hallett Deborah H., Gleason Andrew M., McCallum Andrew M., et al, Calculus, 5th Edition, Wiley 2008. Solving ordinary differential equations I: Nonstiff problems, second edition. Using nonstiff solvers to solve stiff systems is inefficient and can lead to incorrect results. Solving Ordinary Differential Equations I: Nonstiff Problems: 001 (Springer Series in Computational Mathematics). It consists of nine solvers, namely a basic The collection is suitable for both stiff and nonstiff systems. The solver you choose and the solver options you specify will affect simulation speed. Poehle Purpose Solution of systems of initial value problems Method Explicit Euler discretization with h-extrapolation Category i1a1c1. Solving Ordinary Differential Equations I: Nonstiff Problems (v. Solving initial value problems for stiff or non-stiff systems of first-order ordinary differential equations (ODEs), The R function lsoda provides an interface to the Fortran ODE solver of the same name, written by Linda R. Solving Ordinary Differential Equations I: Nonstiff Problems, 3rd Edition, Springer 2008. (See Chapter 6.) Ernst Hairer, Syvert Paul Nørsett, and Gerhard Wanner. Statistical Methods, 3rd Edition; Academic Press, January 2011. It includes solvers for systems given in The unique feature of GEARBI is that, in the case of stiff systems, it uses a block-iterative method, Block-SOR, to solve the linear systems that arise at each time step. Implicit solvers are specifically designed for stiff problems, whereas explicit solvers are designed for nonstiff problems. Englewood Cliffs, NJ: Prentice-Hall, 1977. ODEPACK is a collection of Fortran solvers for the initial value problem for ordinary differential equation systems. Each solver determines the time of the next simulation step and applies a numerical method to solve ordinary differential equations that represent the model.