Numerical methods and software
Numerical methods and software
Accuracy and Stability of Numerical Algorithms
Accuracy and Stability of Numerical Algorithms
Scientific Computing and Differential Equations: An Introduction to Numerical Methods
Scientific Computing and Differential Equations: An Introduction to Numerical Methods
Numerical methods for simulation of guitar distortion circuits
Computer Music Journal
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The explicit Euler's method is known to be very easy and effective in implementation for many applications. This article extends results previously obtained for the systems of linear differential equations with constant coefficients to arbitrary systems of ordinary differential equations. Optimal (providing minimum total error) step size is calculated at each step of Euler's method. Several examples of solving stiff systems are included.