Fixed versus variable order Runge-Kutta
ACM Transactions on Mathematical Software (TOMS) - The MIT Press scientific computation series
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Runge-Kutta Software with Defect Control four Boundary Value ODEs
SIAM Journal on Scientific Computing
SIAM Journal on Scientific Computing
Selected papers of the second international conference on Numerical solution of Volterra and delay equations : Volterra centennial: Volterra centennial
Solving Index-1 DAEs in MATLAB and Simulink
SIAM Review
Initial value problems for ODEs in problem solving environments
Journal of Computational and Applied Mathematics - Special issue on numerical anaylsis 2000 Vol. VI: Ordinary differential equations and integral equations
A BVP solver based on residual control and the Maltab PSE
ACM Transactions on Mathematical Software (TOMS)
Numerical Initial Value Problems in Ordinary Differential Equations
Numerical Initial Value Problems in Ordinary Differential Equations
Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations
Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations
Singular boundary value problems for ODEs
Applied Mathematics and Computation
Solving ODEs with MATLAB
Solving ODEs and DDEs with residual control
Applied Numerical Mathematics
Applied Numerical Mathematics - The third international conference on the numerical solutions of volterra and delay equations, May 2004, Tempe, AZ
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We discuss the design of software that is easy to use for simple problems, but still capable of solving complicated problems. Nowadays a design should accommodate related, but fundamentally different, tasks such as solving DAEs and DDEs in addition to IVPs and BVPs for ODEs. Major issues are illustrated with the MATLAB ODE Suite and selected solvers written in Fortran 90 and Maple.