Aitbayev, Rakhim Multilevel preconditioners for non-self-adjoint or indefinite orthogonal spline collocation problems. (English) Zbl 1090.65131 SIAM J. Numer. Anal. 43, No. 2, 686-706 (2005). Reviewer: Dietrich Braess (Bochum) MSC: 65N35 65N55 65F10 65F35 35J25 PDFBibTeX XMLCite \textit{R. Aitbayev}, SIAM J. Numer. Anal. 43, No. 2, 686--706 (2005; Zbl 1090.65131) Full Text: DOI Link
Aitbayev, Rakhim; Bialecki, Bernard A preconditioned conjugate gradient method for nonselfadjoint or indefinite orthogonal spline collocation problems. (English) Zbl 1050.65115 SIAM J. Numer. Anal. 41, No. 2, 589-604 (2003). Reviewer: Constantin Popa (Constanta) MSC: 65N35 35J25 65F10 65N12 65F35 PDFBibTeX XMLCite \textit{R. Aitbayev} and \textit{B. Bialecki}, SIAM J. Numer. Anal. 41, No. 2, 589--604 (2003; Zbl 1050.65115) Full Text: DOI
Caputo, J.-G.; Flytzanis, N.; Tersenov, A.; Vavalis, E. Analysis of a semilinear PDE for modeling static solutions of Josephson junctions. (English) Zbl 1126.35315 SIAM J. Math. Anal. 34, No. 6, 1356-1379 (2003). MSC: 35J60 35J25 35Q53 PDFBibTeX XMLCite \textit{J. G. Caputo} et al., SIAM J. Math. Anal. 34, No. 6, 1356--1379 (2003; Zbl 1126.35315) Full Text: DOI
Mateescu, Gabriel; Ribbens, Calvin J.; Watson, Layne T. A domain decomposition preconditioner for Hermite collocation problems. (English) Zbl 1017.65094 Numer. Methods Partial Differ. Equations 19, No. 2, 135-151 (2003). MSC: 65N35 65N55 65F35 35J25 65F10 65Y05 PDFBibTeX XMLCite \textit{G. Mateescu} et al., Numer. Methods Partial Differ. Equations 19, No. 2, 135--151 (2003; Zbl 1017.65094) Full Text: DOI Link
Knowles, Ian Parameter identification for elliptic problems. (English) Zbl 0983.65121 J. Comput. Appl. Math. 131, No. 1-2, 175-194 (2001). Reviewer: Karel Najzar (Praha) MSC: 65N21 35R30 35J25 PDFBibTeX XMLCite \textit{I. Knowles}, J. Comput. Appl. Math. 131, No. 1--2, 175--194 (2001; Zbl 0983.65121) Full Text: DOI
Bialecki, B.; Fairweather, G. Orthogonal spline collocation methods for partial differential equations. (English) Zbl 0971.65105 J. Comput. Appl. Math. 128, No. 1-2, 55-82 (2001). Reviewer: S.K.Rangarajan (Bangalore) MSC: 65N35 45K05 35J25 35K15 65M70 65-02 35L15 65R20 PDFBibTeX XMLCite \textit{B. Bialecki} and \textit{G. Fairweather}, J. Comput. Appl. Math. 128, No. 1--2, 55--82 (2001; Zbl 0971.65105) Full Text: DOI
Enright, W. H. Accurate approximate solution of partial differential equations at off-mesh points. (English) Zbl 1070.65573 ACM Trans. Math. Softw. 26, No. 2, 274-292 (2000). MSC: 65N35 65N50 35J25 PDFBibTeX XMLCite \textit{W. H. Enright}, ACM Trans. Math. Softw. 26, No. 2, 274--292 (2000; Zbl 1070.65573) Full Text: DOI
Ramakrishnan, Naren; Ribbens, Calvin J. Mining and visualizing recommendation spaces for elliptic PDEs with continuous attributes. (English) Zbl 1070.65567 ACM Trans. Math. Softw. 26, No. 2, 254-273 (2000). MSC: 65N22 65F05 35J25 65F10 49L20 65Y20 PDFBibTeX XMLCite \textit{N. Ramakrishnan} and \textit{C. J. Ribbens}, ACM Trans. Math. Softw. 26, No. 2, 254--273 (2000; Zbl 1070.65567) Full Text: DOI
Tang, Wei-Pai; Wan, Wing Lok Sparse approximate inverse smoother for multigrid. (English) Zbl 1049.65146 SIAM J. Matrix Anal. Appl. 21, No. 4, 1236-1252 (2000). Reviewer: Thomas Sonar (Braunschweig) MSC: 65N55 65F35 65F10 65F50 35J25 65Y05 PDFBibTeX XMLCite \textit{W.-P. Tang} and \textit{W. L. Wan}, SIAM J. Matrix Anal. Appl. 21, No. 4, 1236--1252 (2000; Zbl 1049.65146) Full Text: DOI
Mitchell, William F. The full domain partition approach to parallel adaptive refinement. (English) Zbl 0937.65132 Bern, Marshall W. (ed.) et al., Grid generation and adaptive algorithms. Proceedings of a workshop, integral part of 1996-97 IMA program, Minnesota Univ., Minneapolis, MN, USA, April 28 - May 2, 1997. New York, NY: Springer. IMA Vol. Math. Appl. 113, 151-161 (1999). MSC: 65N50 65N55 65N30 35J25 65Y05 PDFBibTeX XMLCite \textit{W. F. Mitchell}, IMA Vol. Math. Appl. 113, 151--161 (1999; Zbl 0937.65132)
Sun, Weiwei Spectral analysis of Hermite cubic spline collocation systems. (English) Zbl 0937.65110 SIAM J. Numer. Anal. 36, No. 6, 1962-1975 (1999). Reviewer: Thomas Sonar (Braunschweig) MSC: 65M70 65N35 65L60 65L10 34B05 35K15 PDFBibTeX XMLCite \textit{W. Sun}, SIAM J. Numer. Anal. 36, No. 6, 1962--1975 (1999; Zbl 0937.65110) Full Text: DOI
Knowles, Ian A variational algorithm for electrical impedance tomography. (English) Zbl 0921.35191 Inverse Probl. 14, No. 6, 1513-1525 (1998). MSC: 35R30 90C52 35J25 PDFBibTeX XMLCite \textit{I. Knowles}, Inverse Probl. 14, No. 6, 1513--1525 (1998; Zbl 0921.35191) Full Text: DOI Link
Tsompanopoulou, P.; Vavalis, E. ADI methods for cubic spline collocation discretizations of elliptic PDE. (English) Zbl 0912.65092 SIAM J. Sci. Comput. 19, No. 2, 341-363 (1998). Reviewer: W.Heinrichs (Essen) MSC: 65N35 65F10 65Y20 35J25 PDFBibTeX XMLCite \textit{P. Tsompanopoulou} and \textit{E. Vavalis}, SIAM J. Sci. Comput. 19, No. 2, 341--363 (1998; Zbl 0912.65092) Full Text: DOI
Knowles, Ian; Wallace, Robert A variational solution for the aquifer transmissivity problem. (English) Zbl 0865.35142 Inverse Probl. 12, No. 6, 953-963 (1996). MSC: 35R30 35J25 86A05 PDFBibTeX XMLCite \textit{I. Knowles} and \textit{R. Wallace}, Inverse Probl. 12, No. 6, 953--963 (1996; Zbl 0865.35142) Full Text: DOI Link
Sun, Weiwei; Huang, Weizhang; Russell, Robert D. Finite difference preconditioning for solving orthogonal collocation equations for boundary value problems. (English) Zbl 0863.65072 SIAM J. Numer. Anal. 33, No. 6, 2268-2285 (1996). Reviewer: K.T.S.R.Iyengar (Bangalore) MSC: 65N35 34B05 65L12 65F35 65L60 65N06 65L10 35J25 PDFBibTeX XMLCite \textit{W. Sun} et al., SIAM J. Numer. Anal. 33, No. 6, 2268--2285 (1996; Zbl 0863.65072) Full Text: DOI
Lai, Yu-Ling; Hadjidimos, Apostolos; Houstis, Elias N. A generalized Schwarz splitting method based on Hermite collocation for elliptic boundary value problems. (English) Zbl 0879.65073 Appl. Numer. Math. 21, No. 3, 265-290 (1996). Reviewer: W.Heinrichs (Essen) MSC: 65N35 62F10 65N12 35J25 PDFBibTeX XMLCite \textit{Y.-L. Lai} et al., Appl. Numer. Math. 21, No. 3, 265--290 (1996; Zbl 0879.65073) Full Text: DOI Link
Weerawarana, Sanjiva; Houstis, Elias N.; Rice, John R.; Joshi, Anupam; Houstis, Catherine E. PYTHIA: A knowledge-based system to select scientific algorithms. (English) Zbl 0884.65123 ACM Trans. Math. Softw. 22, No. 4, 447-468 (1996). MSC: 65Z05 68T35 35J25 65Y15 68W30 PDFBibTeX XMLCite \textit{S. Weerawarana} et al., ACM Trans. Math. Softw. 22, No. 4, 447--468 (1996; Zbl 0884.65123) Full Text: DOI Link
Cayco, Maria; Foster, Leslie; Swann, Howard On the convergence rate of the cell discretization algorithm for solving elliptic problems. (English) Zbl 0851.65076 Math. Comput. 64, No. 212, 1397-1419 (1995). Reviewer: T.Roubíček (Praha) MSC: 65N30 65N12 65N15 35J25 PDFBibTeX XMLCite \textit{M. Cayco} et al., Math. Comput. 64, No. 212, 1397--1419 (1995; Zbl 0851.65076) Full Text: DOI
Bialecki, Bernard; Fairweather, Graeme Matrix decomposition algorithms in orthogonal spline collocation for separable elliptic boundary value problems. (English) Zbl 0820.65009 SIAM J. Sci. Comput. 16, No. 2, 330-347 (1995). Reviewer: H.Hollatz (Magdeburg) MSC: 65F05 65N30 65N35 35J25 PDFBibTeX XMLCite \textit{B. Bialecki} and \textit{G. Fairweather}, SIAM J. Sci. Comput. 16, No. 2, 330--347 (1995; Zbl 0820.65009) Full Text: DOI Link
Lai, Yu-Ling; Hadjidimos, Apostolos; Houstis, Elias N.; Rice, John R. On the iterative solution of Hermite collocation equations. (English) Zbl 0821.65069 SIAM J. Matrix Anal. Appl. 16, No. 1, 254-277 (1995). Reviewer: G.Hedstrom (Livermore) MSC: 65N35 65N12 65F10 35J25 35J05 PDFBibTeX XMLCite \textit{Y.-L. Lai} et al., SIAM J. Matrix Anal. Appl. 16, No. 1, 254--277 (1995; Zbl 0821.65069) Full Text: DOI
Lai, Yu-Ling; Hadjidimos, Apostolos; Houstis, Elias N.; Rice, John R. General interior Hermite collocation methods for second-order elliptic partial differential equations. (English) Zbl 0817.65092 Appl. Numer. Math. 16, No. 1-2, 183-200 (1994). Reviewer: G.Schmidt (Berlin) MSC: 65N35 65F10 35J25 35-04 PDFBibTeX XMLCite \textit{Y.-L. Lai} et al., Appl. Numer. Math. 16, No. 1--2, 183--200 (1994; Zbl 0817.65092) Full Text: DOI Link
Christara, Christina C. Quadratic spline collocation methods for elliptic partial differential equations. (English) Zbl 0815.65118 BIT 34, No. 1, 33-61 (1994). Reviewer: K.Najzar (Praha) MSC: 65N35 65N15 65N12 35J25 PDFBibTeX XMLCite \textit{C. C. Christara}, BIT 34, No. 1, 33--61 (1994; Zbl 0815.65118) Full Text: DOI
Cummins, P. F.; Vallis, G. K. Algorithm 732: Solvers for self-adjoint elliptic problems in irregular two-dimensional domains. (English) Zbl 0889.65108 ACM Trans. Math. Softw. 20, No. 3, 247-261 (1994). MSC: 65N06 65N15 35J25 65F10 65F35 PDFBibTeX XMLCite \textit{P. F. Cummins} and \textit{G. K. Vallis}, ACM Trans. Math. Softw. 20, No. 3, 247--261 (1994; Zbl 0889.65108) Full Text: DOI Link
Stetter, H. J. Tools for scientific computation. (English) Zbl 0798.65095 Z. Angew. Math. Mech. 73, No. 12, 335-348 (1993). Reviewer: H.J.Stetter MSC: 65Nxx 65Fxx 68W30 65Y05 68-02 65H10 13P10 35J05 35J25 PDFBibTeX XMLCite \textit{H. J. Stetter}, Z. Angew. Math. Mech. 73, No. 12, 335--348 (1993; Zbl 0798.65095) Full Text: DOI
Swann, Howard On the use of Lagrange multipliers in domain decomposition for solving elliptic problems. (English) Zbl 0795.65073 Math. Comput. 60, No. 201, 49-78 (1993). MSC: 65N30 65N55 65N12 65N15 35J25 PDFBibTeX XMLCite \textit{H. Swann}, Math. Comput. 60, No. 201, 49--78 (1993; Zbl 0795.65073) Full Text: DOI
Bialecki, Bernard; Fairweather, Graeme Matrix decomposition algorithms for separable elliptic boundary value problems in two space dimensions. (English) Zbl 0781.65031 J. Comput. Appl. Math. 46, No. 3, 369-386 (1993). Reviewer: J.P.Milaszewicz (Buenos Aires) MSC: 65F30 65N06 65N30 65N35 65N22 35J25 PDFBibTeX XMLCite \textit{B. Bialecki} and \textit{G. Fairweather}, J. Comput. Appl. Math. 46, No. 3, 369--386 (1993; Zbl 0781.65031) Full Text: DOI
Chen, A. T.; Rice, J. R. On grid refinement at point singularities for \(h-p\) methods. (English) Zbl 0761.65088 Int. J. Numer. Methods Eng. 33, No. 1, 39-57 (1992). Reviewer: W.Heinrichs (Düsseldorf) MSC: 65N50 65N30 35J25 PDFBibTeX XMLCite \textit{A. T. Chen} and \textit{J. R. Rice}, Int. J. Numer. Methods Eng. 33, No. 1, 39--57 (1992; Zbl 0761.65088) Full Text: DOI
Janssen, Hugo L.; Lambert, Hendrik L. Recursive construction of particular solutions to nonhomogeneous linear partial differential equations of elliptic type. (English) Zbl 0749.65075 J. Comput. Appl. Math. 39, No. 2, 227-242 (1992). Reviewer: O.Widlund (New York) MSC: 65N30 65N35 35J25 PDFBibTeX XMLCite \textit{H. L. Janssen} and \textit{H. L. Lambert}, J. Comput. Appl. Math. 39, No. 2, 227--242 (1992; Zbl 0749.65075) Full Text: DOI
Mitchell, William F. Optimal multilevel iterative methods for adaptive grids. (English) Zbl 0746.65087 SIAM J. Sci. Stat. Comput. 13, No. 1, 146-167 (1992). Reviewer: S.F.McCormick (Denver) MSC: 65N55 65N50 35J25 65N30 65F10 PDFBibTeX XMLCite \textit{W. F. Mitchell}, SIAM J. Sci. Stat. Comput. 13, No. 1, 146--167 (1992; Zbl 0746.65087) Full Text: DOI
Mitchell, William F. Adaptive refinement for arbitrary finite-element spaces with hierarchical bases. (English) Zbl 0733.65066 J. Comput. Appl. Math. 36, No. 1, 65-78 (1991). Reviewer: H.Schmitz (Heidelberg) MSC: 65N30 65N50 35J25 PDFBibTeX XMLCite \textit{W. F. Mitchell}, J. Comput. Appl. Math. 36, No. 1, 65--78 (1991; Zbl 0733.65066) Full Text: DOI
Chrisochoides, N. P.; Houstis, C. E.; Houstis, E. N.; Papachiou, P. N.; Kortesis, S. K.; Rice, J. R. Domain decomposer: A software tool for mapping PDE computations to parallel architectures. (English) Zbl 0766.65101 Fourth international symposium on domain decomposition methods for partial differential equations, Proc. Symp., Moscow/Russ. 1990, 341-357 (1991). MSC: 65N55 65N30 65Y05 35J25 PDFBibTeX XMLCite \textit{N. P. Chrisochoides} et al., in: Fourth international symposium on domain decomposition methods for partial differential equations. Proceedings of the symposium, held at Moscow, Russia, in May 21-25, 1990. Philadelphia, PA: SIAM. 341--357 (1991; Zbl 0766.65101)
Kaufman, Linda; Warner, Daniel D. Algorithm 685: A program for solving separable elliptic equations. (English) Zbl 0900.65307 ACM Trans. Math. Softw. 16, No. 4, 325-351 (1990). MSC: 65N30 65F05 35J25 PDFBibTeX XMLCite \textit{L. Kaufman} and \textit{D. D. Warner}, ACM Trans. Math. Softw. 16, No. 4, 325--351 (1990; Zbl 0900.65307) Full Text: DOI Link
Mu, Mo; Rice, John R. An experimental performance analysis for the rate of convergence of collocation on general domains. (English) Zbl 0667.65092 Numer. Methods Partial Differ. Equations 5, No. 1, 45-52 (1989). Reviewer: P.I.Ialamov MSC: 65N35 35J25 PDFBibTeX XMLCite \textit{M. Mu} and \textit{J. R. Rice}, Numer. Methods Partial Differ. Equations 5, No. 1, 45--52 (1989; Zbl 0667.65092) Full Text: DOI Link
Houstis, E. N.; Rice, J. R.; Christara, C. C.; Vavalis, E. A. Performance of scientific software. (English) Zbl 0683.65098 Mathematical aspects of scientific software, Proc. Workshop, IMA Vol. Math. Appl. 14, 123-155 (1988). Reviewer: P.S.Vassilevski MSC: 65N35 68W30 68Q25 35J25 PDFBibTeX XML
Boonkkamp, Thije; Ten, J. H. M. Residual smoothing for accelerating the ADI iteration method for elliptic difference equations. (English) Zbl 0683.65091 Z. Angew. Math. Mech. 68, No. 9, 445-453 (1988). Reviewer: V.Korneev MSC: 65N22 65F10 35J25 PDFBibTeX XMLCite \textit{T. Boonkkamp} and \textit{J. H. M. Ten}, Z. Angew. Math. Mech. 68, No. 9, 445--453 (1988; Zbl 0683.65091) Full Text: DOI Link
Dyksen, Wayne R.; Ribbens, Calvin J.; Rice, John R. The performance of numerical methods for elliptic problems with mixed boundary conditions. (English) Zbl 0669.65082 Numer. Methods Partial Differ. Equations 4, No. 4, 347-361 (1988). Reviewer: J.Mandel MSC: 65N22 65N35 65N30 35J25 65F05 65F10 PDFBibTeX XMLCite \textit{W. R. Dyksen} et al., Numer. Methods Partial Differ. Equations 4, No. 4, 347--361 (1988; Zbl 0669.65082) Full Text: DOI Link
Dyksen, Wayne R. A tensor product generalized ADI method for the method of planes. (English) Zbl 0663.65107 Numer. Methods Partial Differ. Equations 4, No. 4, 283-300 (1988). Reviewer: Z.Dostal MSC: 65N22 65F10 35J25 PDFBibTeX XMLCite \textit{W. R. Dyksen}, Numer. Methods Partial Differ. Equations 4, No. 4, 283--300 (1988; Zbl 0663.65107) Full Text: DOI Link
Dyksen, Wayne R. Tensor product generalized ADI methods for separable elliptic problems. (English) Zbl 0625.65102 SIAM J. Numer. Anal. 24, 59-76 (1987). Reviewer: P.K.Mahanti MSC: 65N22 65F10 35J25 PDFBibTeX XMLCite \textit{W. R. Dyksen}, SIAM J. Numer. Anal. 24, 59--76 (1987; Zbl 0625.65102) Full Text: DOI
Dyksen, Wayne R.; Ribbens, Calvin J. Interactive ELLPACK: An interactive problem-solving environment for elliptic partial differential equations. (English) Zbl 0624.65104 ACM Trans. Math. Softw. 13, 113-132 (1987). MSC: 65N22 65Yxx 35-04 35J25 65N50 PDFBibTeX XMLCite \textit{W. R. Dyksen} and \textit{C. J. Ribbens}, ACM Trans. Math. Softw. 13, 113--132 (1987; Zbl 0624.65104) Full Text: DOI Link
Dyksen, Wayne R. A tensor product generalized ADI method for elliptic problems on cylindrical domains with holes. (English) Zbl 0625.65101 J. Comput. Appl. Math. 16, 43-58 (1986). Reviewer: P.K.Mahanti MSC: 65N22 65F10 35J25 PDFBibTeX XMLCite \textit{W. R. Dyksen}, J. Comput. Appl. Math. 16, 43--58 (1986; Zbl 0625.65101) Full Text: DOI
Dyksen, Wayne R.; Rice, John R. The importance of scaling for the Hermite bicubic collocation equations. (English) Zbl 0602.65015 SIAM J. Sci. Stat. Comput. 7, 707-719 (1986). Reviewer: I.Arany MSC: 65F05 65F35 65N35 35J25 PDFBibTeX XMLCite \textit{W. R. Dyksen} and \textit{J. R. Rice}, SIAM J. Sci. Stat. Comput. 7, 707--719 (1986; Zbl 0602.65015) Full Text: DOI Link
Houstis, E. N.; Mitchell, W. F.; Rice, J. R. Collocation software for second-order elliptic partial differential equations. (English) Zbl 0584.65075 ACM Trans. Math. Softw. 11, 379-412 (1985). MSC: 65N35 35-04 35J25 PDFBibTeX XMLCite \textit{E. N. Houstis} et al., ACM Trans. Math. Softw. 11, 379--412 (1985; Zbl 0584.65075) Full Text: DOI Link Link
Foerster, Hartmut; Witsch, Kristian Multigrid software for the solution of elliptic problems on rectangular domains: MGOO (release 1). (English) Zbl 0505.65044 Multigrid methods, Proc. Conf., Köln-Porz 1981, Lect. Notes Math. 960, 427-460 (1982). MSC: 65N22 65-04 65F10 35J25 35J05 PDFBibTeX XML