Automatically identifying the asymptotic behavior of nonlinear singularly perturbed boundary value problems

Author:

Russo Mark F.,Peskin Richard L.

Publisher

Springer Science and Business Media LLC

Subject

Artificial Intelligence,Computational Theory and Mathematics,Software

Reference22 articles.

1. ChangK. W. and HowesF. A.Nonlinear Singular Perturbation Phenomena: Theory and Applications. Springer-Verlag, New York (1984).

2. JacksonL. K. ‘Subfunctions and second-order differential inequalities’.Advances in Math. 2, 307–363 (1968).

3. NagumoM., ‘Uber di Differentialgleichungy″=f(x, y, y′)’.Proc. Phys. Math. Soc. Japan 19, 861–866 (1937).

4. ChinR. C. Y., HedstromG. W., HowesF. A. and McGrawJ. R. ‘Parallel computation of multiple-scale problems’.New Computing Environments: Parallel, Vector and Systolic, A.Wouk, ed., SIAM, Philadelphia, Pa. (1986).

5. Scroggs, J. S. ‘The solution of a parabolic partial differential equation via domain decomposition: the synthesis of asymptotic and numerical anlaysis’. Doctoral Dissertation, University of Illinois at Urbana-Champaign, May (1988).

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A survey of numerical techniques for solving singularly perturbed ordinary differential equations;Applied Mathematics and Computation;2002-08

2. Domain decomposition for singular perturbation PDEs;Mathematics and Computers in Simulation;1994-10

3. Intelligent computing about complex dynamical systems;Mathematics and Computers in Simulation;1994-10

4. Implementation of a Mapping Procedure for the Domain Decomposition for PDEs in Maple;Maple V: Mathematics and its Applications;1994

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