Linearized methods for ordinary differential equations

Applied Mathematics and Computation

Volumn 104, Issue 2-3, 1999, Pages 109-129

  Ramos, J I ^a  

^a UNIVERSITY OF MÁLAGA   (Spain)

Author keywords

Linearized techniques; Nonlinear dynamics; Pad approximants; Time linearized methods; Time reversed logistic equation

Indexed keywords

EID: 0001529090     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(98)10056-5     Document Type: Article

References (8)

1. J.I. Ramos, C.M. García-López, Linearized θ-methods, I. Ordinary differential equations, Computer Methods in Applied Mechanics and Engineering 129 (1996) 255-269.
2. J.I. Ramos, C.M. Garcia-Lopez, Piecewise-linearized methods for initial-value problems, Applied Mathematics and Computation 82 (1997) 459-467.
3. J.I. Ramos, Linearization methods for reaction-diffusion equations: 1-D problems, Applied Mathematics and Computation 88 (1997) 199-224.
4. J.I. Ramos, C.M. García-López, Nonstandard finite difference equations for ODEs and 1-D PDEs based on piecewise linearization, Applied Mathematics and Computation 86 (1997) 11-36.
5. J.I. Ramos, Linearization methods for reaction-diffusion equations: Multidimensional problems, Applied Mathematics and Computation 88 (1997) 225-254.
6. J.I. Ramos, Implicit, compact, linearized θ-methods with factorization for multidimensional reaction-diffusion equations, Applied Mathematics and Computation 94 (1998) 17-43.
7. G.A. Baker Jr., P. Graves-Morris, Padé Approximants, 2nd ed., Cambridge University Press, New York, 1996.
8. J.D. Lambert, Numerical Methods for Ordinary Differential Equations: The Initial Value Problem, Wiley, New York, 1991.