| The Numerical Solution of Separably Stiff Systems by Precise Partitioning |
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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
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Authors
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David S. Watkins
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Department of Pure and Applied Mathematics, Washington State University, Pullman, WA
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Ralph W. HansonSmith
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American Bell, 307 Middletown-Lincroft Road, Lincroft, NJ
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| Bibliometrics |
Downloads (6 Weeks): 1, Downloads (12 Months): 14, Citation Count: 2
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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.
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BJORCK, A. A block QR algorithm for partioning stiff differential systems. Rep. LiTH-MAT-R-82-44, Llnkoplng Univ., Linkoping, Sweden, Oct. 1982.
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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.
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DONGARRA, J.J., ET AL. LINPACK Users" Guide. SIAM Publ., Philadelphia, Pa., 1979.
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HINDMARSH, A C. The LLL family of orchnary differential equations solvers UCRL-78129, Lawrence Llvermore Laboratory, Llvermore, Calif, 1976.
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HINDMARSH, A C. LSODE and LSODI, two new initial value ordinary differential equation solvers. SIGNUM Newslet. 15, 4 (1980), 10-11.
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PARLE~r, B.N The Symmetric E~genvalue Problem. Prentme-Hall, Eng|ewood Chffs, N.J.,
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RUTISHAUSER, H. Simultaneous iteration method for symmetric matrices. Numer. Math. 16 (1970), 205-223.
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SCHUNK, R W., AND WATKINS, D.S. Electron temperature anisotropy in the solar wind. Work in progress.
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SHAMPINE, L.F., AND GEAR, C.W. A user's view of solving stiff ordinary differential equations. SIAM Rev. 21 (1979), 1-17.
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14
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STEWART, G.W. Introductzon to Matrix Computatmns. Academic Press, New York, 1973.
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15
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STEWART, G.W Simultaneous Iteration for computing invanant subspaces of non-Hermitian matinees. Numer. Math 25 (1976), 123-136.
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WATKINS, D S. Determining inltml values for stiff systems of ordinary differential equations. SIAM J Numer. Anal. 18 (1981), 13-20.
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WATKINS, D.S. Efficient imtializatlon of stiff systems with one unknown initial condition SIAM Numer. Anal 18 (1981), 794-800.
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WATKINS, D S. An mitlalization program for separably stiff systems. SIAMJ. Scl. Star. Comput., published.
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WATKINS, D S. Understanchng the QR algorithm. SIAM Rev. 24 (1982), 427-440.
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