# Linear multistep methods

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• ### Lecture Power system stability - Lesson 3: Numeric Solution of Differential Equations, Electromagnetic Transients

Lecture Power system stability - Lesson 3: Numeric Solution of Differential Equations, Electromagnetic Transients provide students with knowledge about fourth urder Runge-Kutta; multistep methods; multistep motivation; numerical instability; stiff differential equations; trapezoidal linear case;...

• ### Second-order ordinary differential equations

n mathematics, an ordinary differential equation (abbreviated ODE) is an equation containing a function of one independent variable and its derivatives. There are many general forms an ODE can take, and these are classified in practice (see below).[1][2] The derivatives are ordinary because partial derivatives only apply to functions of many independent variables (see Partial differential equation).

• ### Numerical Methods for Ordinary Diﬀerential Equations

In recent years the study of numerical methods for solving ordinary differential equations has seen many new developments. This second edition of the author's pioneering text is fully revised and updated to acknowledge many of these developments. It includes a complete treatment of linear multistep methods whilst maintaining its unique and comprehensive emphasis on Runge-Kutta methods and general linear methods. Although the specialist topics are taken to an advanced level, the entry point to the volume as a whole is not especially demanding.