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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
Format: djvu
Publisher: Springer
ISBN: 3540566708, 9783540566700

Hairer E, Norsett SP, Wanner G: Solving Ordinary Differential Equations I: Nonstiff Problems. Initial-value problem for nonstiff and stiff ordinary differential equations ODEs (explicit Runge-Kutta, implicit Runge-Kutta, Gear's BDF and Adams-Moulton). Implicit solvers are specifically designed for stiff problems, whereas explicit solvers are designed for nonstiff problems. Each solver determines the time of the next simulation step and applies a numerical method to solve ordinary differential equations that represent the model. Solving equations: Solve equations in one variable, or solve systems of linear or nonlinear equations. (See Chapter 6.) Ernst Hairer, Syvert Paul Nørsett, and Gerhard Wanner. The solver you choose and the solver options you specify will affect simulation speed. Fast Fourier Transforms: 1D and 2D FFT's using singular value problems. Englewood Cliffs, NJ: Prentice-Hall, 1977. Using nonstiff solvers to solve stiff systems is inefficient and can lead to incorrect results. We develop a linear stability analysis for the interface dynamics that allows us to understand the Frigo M, Johnson SG: The design and implementation of FFTW3. Curve fitting: Linear and nonlinear curve fitting, Integrate systems of ordinary differential equations (ODE's). Solving Ordinary Differential Equations I: Nonstiff Problems (Springer Series in Computational Mathematics);Ernst Hairer, Syvert P. This exact, but dimensionally reduced, system of equations is solved numerically and shown to be in excellent agreement with the full nonlinear integral equation defining the neural field. 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). Solving Ordinary Differential Equations I: Nonstiff Problems by Ernst Hairer, Syvert P. Solving ordinary differential equations I: Nonstiff problems, second edition.