E. N. Houstis
Supplemental Material
Available for Download
collocation with bicubic Hermite polynomials: linear second-order elliptic problems with general linear boundary conditions on non-rectangular two-dimensional domains Gams: I2b1a3
- 1 HOUSTIS, E. N., LYNCH, R. E., AND RICE, J.R. Evaluations of numerical methods for elliptic partial differential equations. J. Comp. Physics, 27 (1978), 323-350.Google Scholar
- 2 HOUST{S, E. N., MITCHELL, W. F., AND RICE, J. R. Collocation software for second order elliptic partial differential equations. ACM Trans. Math. Softw. 11, 4 (Dec. 1985), 379-412. Google Scholar
- 3 HOUSTIS, E. N., MITCHELL, W. F., AND RICE, J. R. Algorithms INTCOL and HERMCOL: Collocation on rectangular domains with bicubic Hermite polynomials. ACM Trans. Math. Softw. II, 4 (Dec. 1985). 416-418. Google Scholar
- 4 HOUSTIS, E. N., AND RICE, J.R. Software for linear elliptic problems on general two dimensional domains. In Advances in Computer Methods for Partial Differential Equations II, (R. Vishnevetsky, ed.), IMACS, Rutgers University, New Brunswick, N. J., 1977.Google Scholar
- 5 RICE, J.R. Algorithm 625: A two-dimensional domain processor. ACM Trans. Math. Softw. 10, 4 (1984), 453-462. Google Scholar
- 6 RICE, J. R., AND BOISVERT, R.F. Solving Elliptic Problems using ELLPACK. Springer-Verlag, New York, 1985. Google Scholar
Index Terms
- Algorithm 637: GENCOL: collocation of general domains with bicubic hermite polynomials
Recommendations
Hermite interpolation with symmetric polynomials
We study the Hermite interpolation problem on the spaces of symmetric bivariate polynomials. We show that the multipoint Berzolari-Radon sets solve the problem. We also give a Newton formula for the interpolation polynomial and use it to prove a ...
Hermite Parametric Bicubic Patch Defined by the Tensor Product
Computational Science and Its Applications – ICCSA 2022AbstractBicubic parametric plates are essential for many geometric applications, especially for CAD/CAM systems used in the automotive industry, mechanical and civil engineering applications. Usually the Hermite, Bézier, Coons or NURBS plates are used. ...
The Importance of Scaling for the Hermite Bicubic Collocation Equations
It is well known that improper scaling of linear equations can result in catastrophic loss of accuracy from Gauss elimination. The scaling process is not well understood and the commonly used “scaling rules” can fail. We study the scaling problem for ...
Comments