A C1 interpolant for codes based on backward differentiation formulae
Applied Numerical Mathematics
Smoother interpolants for Adams codes
SIAM Journal on Scientific and Statistical Computing
Some practical Runge-Kutta formulas
Mathematics of Computation
Practical aspects of interpolation in Runge-Kutta codes
SIAM Journal on Scientific and Statistical Computing
Error analysis of the bjo¨rck-pereyra algorithms for solving vandermonde systems
Numerische Mathematik
Numerical Initial Value Problems in Ordinary Differential Equations
Numerical Initial Value Problems in Ordinary Differential Equations
Animation of plant development
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
ACM Transactions on Mathematical Software (TOMS)
Accurate Event Detection for Simulating Hybrid Systems
HSCC '01 Proceedings of the 4th International Workshop on Hybrid Systems: Computation and Control
An asynchronous integration and event detection algorithm for simulating multi-agent hybrid systems
ACM Transactions on Modeling and Computer Simulation (TOMACS)
Neighbor list collision-driven molecular dynamics simulation for nonspherical hard particles.
Journal of Computational Physics
A state event detection algorithm for numerically simulating hybrid systems with model singularities
ACM Transactions on Modeling and Computer Simulation (TOMACS)
HSCC'06 Proceedings of the 9th international conference on Hybrid Systems: computation and control
| Hi-index | 0.01 |
Computing the solution of the initial value problem in ordinary differential equations (ODEs) may be only part of a larger task. One such task is finding where an algebraic function of the solution (an event function) has a root (an event occurs). This is a task which is difficult both in theory and in software practice. For certain useful kinds of event functions, it is possible to avoid two fundamental difficulties. It is described how to achieve the reliable solutions of such problems in a way that allows the capability to be grafted onto popular codes for the initial value problem.