Mon premier blog

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

It consists of nine solvers, namely a basic The collection is suitable for both stiff and nonstiff systems. ODEPACK is a collection of Fortran solvers for the initial value problem for ordinary differential equation systems. Solving Ordinary Differential Equations I: nonstiff problems. The solver you choose and the solver options you specify will affect simulation speed. 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. Each solver determines the time of the next simulation step and applies a numerical method to solve ordinary differential equations that represent the model. Using nonstiff solvers to solve stiff systems is inefficient and can lead to incorrect results. (See Chapter 6.) Ernst Hairer, Syvert Paul Nørsett, and Gerhard Wanner. The Intel® Ordinary Differential Equation Solver Library (Intel® ODE Solver Library) is a powerful, cross-platform tool set for solving initial value problems for Ordinary Differential Equations. Englewood Cliffs, NJ: Prentice-Hall, 1977. 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. Solving ordinary differential equations I: Nonstiff problems, second edition. Сейчас посмотрел, в Колхозе только русский перевод первого издания 1987 года, там этого метода еще нет. Ernst Hairer, Syvert Paul Nørsett, Gerhard Wanner, Solving Ordinary Differential Equations I: Nonstiff Problems, Springer-Verlag (1987 3-540-17145-2 0-387-17145-2).