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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
Publisher: Springer
Page: 539
ISBN: 3540566708, 9783540566700
Format: djvu

Solving equations: Solve equations in one variable, or solve systems of linear or nonlinear equations. Solving.Ordinary.Differential.Equations.I.Nonstiff. A First Course in the Numerical Analysis of Differential Equations. Such as those studied in the book. Implicit solvers are specifically designed for stiff problems, whereas explicit solvers are designed for nonstiff problems. Ernst Hairer, Gerhard Wanner, Syvert P. Solving Ordinary Differential Equations: Nonstiff Problems. بسته به نوع اصطلاحا سخت (stiff) و غیر سخت (Nonstiff) معادلات و نیز اهمیت دقت، odeهای متفاوتی بکار می روند. Each solver determines the time of the next simulation step and applies a numerical method to solve ordinary differential equations that represent the model. Poehle Purpose Solution of systems of initial value problems Method Explicit Euler discretization with h-extrapolation Category i1a1c1. Curve fitting: Linear and nonlinear curve fitting, Integrate systems of ordinary differential equations (ODE's). Solve initial value problems for ordinary differential equations. The solver you choose and the solver options you specify will affect simulation speed. Initial-value problem for nonstiff and stiff ordinary differential equations ODEs (explicit Runge-Kutta, implicit Runge-Kutta, Gear's BDF and Adams-Moulton). 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. Fast Fourier Transforms: 1D and 2D FFT's using singular value problems. Using nonstiff solvers to solve stiff systems is inefficient and can lead to incorrect results. Solving Ordinary Differential Equations I: Nonstiff Problems.