ACM Home Page
Please provide us with feedback. Feedback
The Numerical Solution of Separably Stiff Systems by Precise Partitioning
Full text PdfPdf (641 KB)
Source ACM Transactions on Mathematical Software (TOMS) archive
Volume 9 ,  Issue 3  (September 1983) table of contents
Pages: 293 - 301  
Year of Publication: 1983
ISSN:0098-3500
Authors
David S. Watkins  Department of Pure and Applied Mathematics, Washington State University, Pullman, WA
Ralph W. HansonSmith  American Bell, 307 Middletown-Lincroft Road, Lincroft, NJ
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 1,   Downloads (12 Months): 14,   Citation Count: 2
Additional Information:

references   cited by   index terms   collaborative colleagues  

Tools and Actions: Request Permissions Request Permissions    Review this Article  
DOI Bookmark: Use this link to bookmark this Article: http://doi.acm.org/10.1145/356044.356046
What is a DOI?

REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
ALFELD, P., AND LAMBERT, J.D. Correction in the dominant space: A numerical technique for a certain class of stiff initial value problems. Math Comput. 31 (1977), 922-938.
 
2
BJORCK, A. A block QR algorithm for partioning stiff differential systems. Rep. LiTH-MAT-R-82-44, Llnkoplng Univ., Linkoping, Sweden, Oct. 1982.
 
3
CARVER, M.B., AND MAcEWEN, S.R On the use of sparse matrix approximation to the Jacoblan integrating large sets of ordinary differential equations. SIAM J. ScL. Stat. Comput. 2 (1981), 64.
 
4
DONGARRA, J.J., ET AL. LINPACK Users" Guide. SIAM Publ., Philadelphia, Pa., 1979.
5
6
7
 
8
HINDMARSH, A C. The LLL family of orchnary differential equations solvers UCRL-78129, Lawrence Llvermore Laboratory, Llvermore, Calif, 1976.
 
9
HINDMARSH, A C. LSODE and LSODI, two new initial value ordinary differential equation solvers. SIGNUM Newslet. 15, 4 (1980), 10-11.
 
10
PARLE~r, B.N The Symmetric E~genvalue Problem. Prentme-Hall, Eng|ewood Chffs, N.J.,
 
11
RUTISHAUSER, H. Simultaneous iteration method for symmetric matrices. Numer. Math. 16 (1970), 205-223.
 
12
SCHUNK, R W., AND WATKINS, D.S. Electron temperature anisotropy in the solar wind. Work in progress.
 
13
SHAMPINE, L.F., AND GEAR, C.W. A user's view of solving stiff ordinary differential equations. SIAM Rev. 21 (1979), 1-17.
 
14
STEWART, G.W. Introductzon to Matrix Computatmns. Academic Press, New York, 1973.
 
15
STEWART, G.W Simultaneous Iteration for computing invanant subspaces of non-Hermitian matinees. Numer. Math 25 (1976), 123-136.
 
16
WATKINS, D S. Determining inltml values for stiff systems of ordinary differential equations. SIAM J Numer. Anal. 18 (1981), 13-20.
 
17
WATKINS, D.S. Efficient imtializatlon of stiff systems with one unknown initial condition SIAM Numer. Anal 18 (1981), 794-800.
 
18
WATKINS, D S. An mitlalization program for separably stiff systems. SIAMJ. Scl. Star. Comput., published.
 
19
WATKINS, D S. Understanchng the QR algorithm. SIAM Rev. 24 (1982), 427-440.
 
20


Collaborative Colleagues:
David S. Watkins: colleagues
Ralph W. HansonSmith: colleagues