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Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems
The subject of this book is the solution of stiff differential equations and of differential-algebraic systems (differential equations with constraints). The book is divided into four chapters. The…
Geometric Numerical Integration: Structure Preserving Algorithms for Ordinary Differential Equations
Solving Ordinary Differential Equations I: Nonstiff Problems
Solving Ordinary Differential Equations II
Solving Ordinary Differential Equations I
Differential equations constitute one of the most powerful mathematical tools to understand and predict the behavior of dynamical systems in nature, engineering, and society. A dynamical system is…
Simulating Hamiltonian dynamics
Reading simulating hamiltonian dynamics is a way as one of the collective books that gives many advantages and will greatly develop your experiences about everything.
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Geometric numerical integration illustrated by the Störmer–Verlet method
The subject of geometric numerical integration deals with numerical integrators that preserve geometric properties of the flow of a differential equation, and it explains how structure preservation…
Stiff and differential-algebraic problems
This chapter discusses one-Step methods for solving Stiff Problems and their applications to Constrained Hamiltonian Systems.