Odeint - Solving ordinary differential equations in C++

Abstract

Many physical, biological or chemical systems are modeled by ordinary differential equations (ODEs) and finding their solution is an every-day-task for many scientists. Here, we introduce a new C++ library dedicated to find numerical solutions of initial value problems of ODEs: odeint (www.odeint.com). odeint is implemented in a highly generic way and provides extensive interoperability at top performance. For example, due to it's modular design it can be easily parallized with OpenMP and even runs on CUDA GPUs. Despite that, it provides a convenient interface that allows for a simple and easy usage.

4 pages, 1 figure

Cited by in corpus (48)

• High-performance functional renormalization group calculations for interacting fermions
• A 3PN Fourier Domain Waveform for Non-Spinning Binaries with Moderate Eccentricity
• The Control Toolbox - An Open-Source C++ Library for Robotics, Optimal and Model Predictive Control
• Programming CUDA and OpenCL: A Case Study Using Modern C++ Libraries
• Energy Spreading in Strongly Nonlinear Disordered Lattices
• Standard Model vacuum decay with gravity
• Comparison of semiclassical and Wigner function methods in pair production in rotating fields
• General purpose ray-tracing and polarized radiative transfer in General Relativity
• mr: a C++ library for the matching and running of the Standard Model parameters
• Swarm-NG: a CUDA Library for Parallel n-body Integrations with focus on Simulations of Planetary Systems
• Competing electronic instabilities of extended Hubbard models on the honeycomb lattice: A functional Renormalization Group calculation with high wavevector resolution
• Probing spatial homogeneity with LTB models: a detailed discussion
• Quasinormal modes and their excitation beyond general relativity
• PCMSolver: an Open-Source Library for Solvation Modeling
• Top-quark effects in diphoton production through gluon fusion at NLO in QCD
• Wobbling double sine-Gordon kinks
• Antiferromagnetism and competing charge instabilities of electrons in strained graphene from Coulomb interactions
• Revisiting high-order Taylor methods for astrodynamics and celestial mechanics
• Three-Dimensional Chiral Magnetization Structures in FeGe Nanospheres
• Evaluating multi-loop Feynman integrals numerically through differential equations
• Scaling properties of energy spreading in nonlinear Hamiltonian two-dimensional lattices
• Pseudo-Goldstone modes and dynamical gap generation from order-by-thermal-disorder
• Life of Π
• Hierarchical Parallelisation of Functional Renormalisation Group Calculations -- hp-fRG
• Confronting SUSY SO(10) with updated Lattice and Neutrino Data
• Geometrically constrained Skyrmions
• PENTrack---a simulation tool for ultracold neutrons, protons, and electrons in complex electromagnetic fields and geometries
• Wigner crystal diode
• Improving power-grid systems via topological changes, or how self-organized criticality can help stability
• Interactive-Rate Supervisory Control for Arbitrarily-Routed Multi-Tendon Robots via Motion Planning
• Bootstrapping solutions of scattering equations
• Photoinduced prethermal order parameter dynamics in the two-dimensional large-$N$ Hubbard-Heisenberg model
• Automated differential equation solver based on the parametric approximation optimization
• Analytic Solutions to Compact Binary Inspirals With Leading Order Spin-Orbit Contribution Using The Dynamical Renormalization Group
• Entropy production and Vlasov equation for self-gravitating systems
• Re-localization due to finite response times in a nonlinear Anderson chain
• Energetic Particle Tracing in Optimized Quasisymmetric Stellarator Equilibria
• Diffusion of relativistic charged particles and field lines in isotropic turbulence: I. Numerical simulations
• Linear and non-linear instabilities of Kirchhoff's Elliptical Vortices
• QCD Corrections to $e^{+}{e}^{-}\to H^{\pm }{W}^{\mp }$ in Type-I THDM at Electron Positron Colliders
• Quasi-particle functional Renormalisation Group calculations in the two-dimensional t-t'-Hubbard model
• Systematic large flavor fTWA approach to interaction quenches in the Hubbard model
• Nonextensive statistics in spin precession
• $Z_H\to H^0\gamma$ decay within the littlest Higgs model at $\mathcal{O}({\alpha }_{\mathrm{ew}}^3{\alpha }_s)$ accuracy
• Signals of a new phase in N=2 gauge theory with a magnetic field on the three-sphere
• Microscopic approach to the quantized light-matter interaction in semiconductor nanostructures: Complex coupled dynamics of excitons, biexcitons, and photons
• Accelerated Integration of Stiff Reactive Systems Using Gradient-Informed Autoencoder and Neural Ordinary Differential Equation
• Modeling high-order harmonic generation in quantum dots using a real-space tight-binding approach