The MATLAB ODE Suite
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[1] F ColemanThomas,et al. Software for estimating sparse Jacobian matrices , 1984 .
[2] H. Zedan,et al. Avoiding the exactness of the Jacobian matrix in Rosenbrock formulae , 1990 .
[3] R. Brayton,et al. A new efficient algorithm for solving differential-algebraic systems using implicit backward differentiation formulas , 1972 .
[4] G. D. Byrne,et al. VODE: a variable-coefficient ODE solver , 1989 .
[5] L. Shampine. Implementation of Implicit Formulas for the Solution of ODEs , 1980 .
[6] J. Dormand,et al. A family of embedded Runge-Kutta formulae , 1980 .
[7] Lawrence F. Shampine,et al. Evaluation of a Test Set for Stiff ODE Solvers , 1981, TOMS.
[8] Peter Deuflhard,et al. Recent progress in extrapolation methods for ordinary differential equations , 1985 .
[9] A. C. Hindmarsh,et al. Applications of EPISODE: an experimental package for the integration of systems of ordinary differential equations. [In FORTRAN for CDC 7600] , 1975 .
[10] T. E. Hull,et al. Comparing Numerical Methods for the Solution of Stiff Systems of ODEs Arising in Chemistry , 1976 .
[11] Fred T. Krogh,et al. Algorithms for Changing the Step Size , 1973 .
[12] P. Deuflhard,et al. A semi-implicit mid-point rule for stiff systems of ordinary differential equations , 1983 .
[13] Alan C. Hindmarsh,et al. A Polyalgorithm for the Numerical Solution of Ordinary Differential Equations , 1975, TOMS.
[14] Dan Luss,et al. Stability of batch catalytic fluidized beds , 1968 .
[15] C. W. Gear,et al. Numerical initial value problem~ in ordinary differential eqttations , 1971 .
[16] P. J. Prince,et al. Runge-Kutta triples , 1986 .
[17] T. E. Hull,et al. Comparing numerical methods for stiff systems of O.D.E:s , 1975 .
[18] Charles William Gear,et al. Stability and convergence of variable order multistep methods , 1974 .
[19] Thomas F. Coleman,et al. Software for estimating sparse Jacobian matrices , 1984, ACM Trans. Math. Softw..
[20] S. Nash,et al. Numerical methods and software , 1990 .
[21] L. Shampine,et al. Numerical Solution of Ordinary Differential Equations. , 1995 .
[22] Lawrence F. Shampine,et al. Implementation of Rosenbrock Methods , 1982, TOMS.
[23] L. Shampine,et al. Computer solution of ordinary differential equations : the initial value problem , 1975 .
[24] T. Steihaug,et al. An attempt to avoid exact Jacobian and nonlinear equations in the numerical solution of stiff differential equations , 1979 .
[25] R. E. Scraton,et al. Some L-stable methods for stiff differential equations , 1981 .
[26] L. Shampine,et al. A 3(2) pair of Runge - Kutta formulas , 1989 .
[27] Patrick W. Gaffney,et al. A Performance Evaluation of Some FORTRAN Subroutines for the Solution of Stiff Oscillatory Ordinary Differential Equations , 1984, TOMS.
[28] Richard C Aiken,et al. Stiff computation , 1985 .
[29] John R. Gilbert,et al. Sparse Matrices in MATLAB: Design and Implementation , 1992, SIAM J. Matrix Anal. Appl..
[30] A. Hindmarsh. LSODE and LSODI, two new initial value ordinary differential equation solvers , 1980, SGNM.
[31] Lawrence F. Shampine,et al. Error estimators for stiff differential equations , 1984 .
[32] C HindmarshAlan. LSODE and LSODI, two new initial value ordinary differential equation solvers , 1980 .
[33] J. M. Watt. Numerical Initial Value Problems in Ordinary Differential Equations , 1972 .
[34] Y. A. Liu,et al. The Occurrence and Numerical Solution of Physical and Chemical Systems Having Widely Varying Time Constants , 1974 .