IEEE Computer Volume 11 Number 2 -- REPOSITORY
Original Publication Date: 1978-Feb-01
Included in the Prior Art Database: 2005-Nov-10
Software Patent Institute
True Seaborn: AUTHOR [+3]
REPOSITORY * R78~11 -- Fatunla, Simeon Ola, ";Numerical Integrators for Stiff and Highly Oscillatory Differential Equations"; (31 pp., Report No. UIUCDCS-R-77-894, University of Illinois, Urbana, Illinois) * R78~12 -- Lee, D. T. and C. K. Wong, ";Voronoi Diagrams in L' (Loo) Metrics with Two-Dimensional Storage Applications"; 122 pp., IBM Thomas .1. Watson Research Center, Yorktown Heights, New York} * R78~13 -- Dankel, Douglas D., lI, ";An Intro. auction to PLIC"; (157 pp., Report No. UIUCDCS-R-77- 893, University of Illinois, Urbana, Illinois) * R78 14 -- Chandra, A. K., D. S. Hirschberg, and C. K. Wang, ";Bin Packing with Geo. metric Constraints in Computer Network Design"; (22 pp., IBM Thomas J. Watson Research Center, Yorktown Heights, New York) * R78~15 -- Chandra, A. K. and C. K. Wang, ";The Movement and Permutation of Columns in Magnetic Bubble Lattice Files"; (37 pp., IBM Thomas J. Watson Research Center, Yorktown Heights, New York) * R78~16 -- McKellar, A. C. and C. K. Wong, ";Dynamic Placement of Records in Linear Storage"; (39 pp., IBM Thomas J. Watson Research Center, Yorktown Heights, New York} * R78~17 -- Ellis, Robert A., ";On the Interactive Use of a Macroprocessor to Gem Grate Operating System Batch Streams"; (9 pp., Washington University, St. Louis, Missouri) * R78~18 -- Chin F. and K. S. Fok, ";Fast Sorting Algorithms on Multiple Shift. Register Loops"; (44 pp., University of Alberta, Edmonton, Alberta, Canada) * R78~19 -- Stevenson, David, ";A Prospectus for High-Speed Computing"; (23 pp., Institute for Advanced Computation, Sunnyvale, California) * R78 20 -- Feierbach, Gary and David Stevenson, ";A Feasibility Study of Programmable Switching Networks for Data Routing"; (25 pp., Institute for Advanced Computation, Sunnyvale, California) * R78~21 -- Babich, Alan F., ";Proving the Correctness of Parallel Programs"; (56 pp., Burroughs Corporation, Mission Viejo, California)
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R78~11 -- Fatunla, Simeon Ola, "Numerical Integrators for Stiff and Highly Oscillatory Differential Equations" (31 pp., Report No. UIUCDCS-R-77-894, University of Illinois, Urbana, Illinois)
Some L- stable fourth order explicit onestep numerical integration formulas which require no matrix inversion are proposed to cope effectively with systems of ordinary differential equations with large Lipschitz constants (including those having highly oscillatory solutions). The implicit integration procedure proposed in Fatunla is further developed to handle a larger class of stiff systems as well as those with highly oscillatory solutions. This same pair of nonlinear equations is solved for the stiffnessioscillatory parameters. However, the nonlinear systems are transformed into linear forms and an efficient computational procedure is developed to obtain these parameters. The new schemes compare favorably with the backward differentiation formula IDIFSUB) of Gear and the blended linear multistep methods of Skeel and Kong, and the symmetric multistep methods of Lambert and Watson.
R78~12 -- Lee, D. T. and C. K. Wong, "Voronoi Diagrams...