Optimal Mesh Size in the Numerical Integration of an Ordinary Differential Equation
Journal of the ACM (JACM)
A review of recent developments in solving ODEs
ACM Computing Surveys (CSUR) - Annals of discrete mathematics, 24
ACM Transactions on Mathematical Software (TOMS)
C3P Proceedings of the third conference on Hypercube concurrent computers and applications - Volume 2
A Polyalgorithm for the Numerical Solution of Ordinary Differential Equations
ACM Transactions on Mathematical Software (TOMS)
The Numerical Solution of Separably Stiff Systems by Precise Partitioning
ACM Transactions on Mathematical Software (TOMS)
Certification of algorithm 407 [D2]
Communications of the ACM
Algorithm 407: DIFSUB for solution of ordinary differential equations [D2]
Communications of the ACM
On the A-stable methods in the GBDF class
Nonlinear Analysis: Real World Applications
Numerical experimentation with routines for solving nonlinear systems of equations
ACM '73 Proceedings of the ACM annual conference
Second order methods for the solution of stiff ordinary differential equations
ACM '73 Proceedings of the ACM annual conference
An extrapolation step-size monitor for solving ordinary differential equations
ACM '74 Proceedings of the 1974 annual conference - Volume 1
PLATO: a new piecewise linear simulation tool
EURO-DAC '90 Proceedings of the conference on European design automation
Numerical solution of the space fractional Fokker-Planck equation
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the international conference on boundary and interior layers - computational and asymptotic methods (BAIL 2002)
Recursive calculation of corrector coefficients
ACM SIGNUM Newsletter
Memory conserving efficient methods for solving large sets of stiff differential equations
AFIPS '76 Proceedings of the June 7-10, 1976, national computer conference and exposition
Mathematics and Computers in Simulation
Brief paper: A continuation approach to eigenvalue assignment
Automatica (Journal of IFAC)
An algorithm for the computer simulation of very large dynamic systems
Automatica (Journal of IFAC)
Hi-index | 48.25 |
An integration technique for the automatic solution of an initial value problem for a set of ordinary differential equations is described. A criterion for the selection of the order of approximation is proposed. The objective of the criterion is to increase the step size so as to reduce solution time. An option permits the solution of “stiff” differential equations. A program embodying the techniques discussed appears in Algorithm 407.