Odeint – Solving Ordinary Differential Equations in C++

Abstract

Existence and stability of standing waves for nonlinear fractional Schrödinger equations J. Math. Phys. 53, 083702 (2012) N-fold Darboux transformations and soliton solutions of three nonlinear equations J. Math. Phys. 53, 083502 (2012) Some algebro-geometric solutions for the coupled modified Kadomtsev-Petviashvili equations arising from the Neumann type systems

Toolbox for super-structured and super-structure free multi-disciplinary building spatial design optimisation

“…After each time step the values of the independent temperature states are updated. A C++ library that offers generic implementations of algorithms for numerical solving of ordinary differential equations is employed to solve the system, which is the odeint library [38] that is part of an overarching library: Boost [39].…”

“…Before the simulation period starts first a warm up period of six days is simulated by backwards traversing the first six days of both temperature profiles. The simulation time is discretised into four time steps per hour, the error controlled runge-kutta-dopri-5 algorithm [38] is used to solve the system for each of those time steps using a value of 1e−6 for both the absolute and relative errors. The last iteration performs worst, which can here be explained due to more surfaces being exposed to wind and floor loads compared to preceding iterations.…”

pyodesys: Straightforward numerical integration of ODE systems from Python

“…• Unified interface to ODE solvers from Sundials (Hindmarsh et al 2005), GNU Scientific Library (Galassi 2009) and odeint (Ahnert et al 2011) in boost.…”

Motion planning in crowds using statistical model checking to enhance the social force model

“…The algorithm solves (1) using a standard ODE solver [24], which produces traces comprising a sequence of states at discrete time points. Since the model given in Section II-B is based on continuous time and space, to guarantee properties that rely on the distance between objects it is necessary to choose time points that are sufficiently close.…”