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High-Order Fast Elliptic Equation Solvers
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Source ACM Transactions on Mathematical Software (TOMS) archive
Volume 5 ,  Issue 4  (December 1979) table of contents
Pages: 431 - 441  
Year of Publication: 1979
ISSN:0098-3500
Authors
E. N. Houstis  Department of Computer Science, Purdue University, West Lafayette, IN
T. S. Papatheodorou  Department of Mathematics, Clarkson College of Technology, Potsdam, NY
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 5,   Downloads (12 Months): 31,   Citation Count: 6
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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.

 
1
BANK, R.E. Efficmnt algorithms for solving tensor product f'mite element equations. (Submitted to a technical journal.)
 
2
DORR, F.W. The dtrect solution of the discrete Polsson equation on a rectangle. SIAM Rev. 12 (1970), 248-263.
3
 
4
HOCKNEY, R.W. The potential calculation and some applications. Meth. zn Comput. Phys. 9 (1970), 135-211
 
5
HOLDEN, E Solution of the nine-point operator by cyclic reduction. SUIPR Rep. 619, Stanford U, Stanford, Calif., March 1975.
 
6
HOUSTIS, E N., LYNCH, R.E., PAPATHEODOROU, T.S., AND RICE, J.R. Evaluation of numerical methods for eUiptm partial differential equations J. Comput. Phys 27 (1978), 323-349.
 
7
Houswls, E N., AND PAPATHEODOROU, T S. Comparison of fast dLrect methods for elhptm problems Proc. IMACS (AICA) Int. Symp. on Computer Methods for Partial Differential Equations, Lehigh U., Bethlehem, Pa., June 1977.
8
 
9
HousTIS, E.N, AND RICE, J.R. Performance evaluation of high order methods over 'singular' problems (Submitted to a technical journal.)
 
10
LYNCH, R.E. O(h~) accurate difference approximation to solutions of the Pomson equation in three variables. CSD-TR 221, Purdue U, West Lafayette, Ind., 1977.
 
11
LYNCH, R.E., RmE, J.R, AND THOMAS, D.H. Tensor product analysis of partial difference equations. Bull Amer. Math. Soc. 70 (1964), 378-384.
 
12
LYNCH, l:{ E, RICE, J.R., AND THOMAS, D.H. Direct solution of partial difference equations by tensor product methods. Numer Math. 6 (1964), 185-199.
 
13
SWARZTRAUBER, P., AND SWEET, R. Efficient FORTRAN subprograms for the solution of elliptic partial differential equations. NCAR-TN/IA-109, 1975.


Collaborative Colleagues:
E. N. Houstis: colleagues
T. S. Papatheodorou: colleagues