Research

Items by Graham, Ivan

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Number of items: 40.

Book Sections

Chandler-Wilde, S. N. and Graham, I. G., 2009. Boundary integral methods in high frequency scattering. In: Engquist, B., Fokas, A., Hairer, E. and Iserles, A., eds. Highly Oscillatory Problems.366 ed. Cambridge University Press, pp. 154-193. (London Mathematical Society Lecture Note Series)

Graham, I. G. and Scheichl, R., 2008. Coefficient-explicit condition number bounds for overlapping additive Schwarz. In: Langer, U., Discacciati, M., Keyes, D. E., Widlund, O. B. and Zulehner, W., eds. Domain Decomposition Methods in Science and Engineering XVII. Vol. 60. Springer, pp. 365-372.

Graham, I. G. and Lechner, P. O., 2007. Domain decomposition for heterogeneous media. In: Widlund, O. B. and Keyes, D. E., eds. Domain decomposition methods in science and engineering XVI. Vol. 55. Berlin: Springer, pp. 573-578. (Lecture Notes in Computational Science and Engineering)

Chaplain, M. J., Ganesh, M. and Graham, I. G., 2003. Mathematical Modelling of Solid Tumour Growth: Applications and pre-pattern formation. In: Sekimura, T., Noji, S., Ueno, N. and Maini, P. K., eds. Morphogenesis and Pattern Formation in Biological Systems. Springer, p. 10.

Graham, I. G., Spence, A. and Vainikko, E., 2002. Parallel iterative methods for Navier-Stokes equations and application to stability assessment. In: Euro-Par 2002 Parallel Processing, Proceedings. Vol. 2400. , pp. 705-714. (Lecture Notes in Computer Science)

Graham, I. G., Hackbusch, W. and Sauter, S. A., 2000. Hybrid Galerkin boundary elements on degenerate meshes. In: Bonnet, M., Sandig, A.-M. and Wendland, W. L., eds. Mathematical aspects of boundary element methods. CRC Press, pp. 140-151.

Articles

Davenport, J. H., Wilson, D., Graham, I., Sankaran, G., Spence, A., Blake, J. and Kynaston, S., 2014. Interdisciplinary teaching of computing to mathematics students : Programming and discrete mathematics. MSOR Connections

Domínguez, V., Graham, I. G. and Kim, T., 2013. Filon--Clenshaw--Curtis rules for highly oscillatory integrals with algebraic singularities and stationary points. SIAM Journal on Numerical Analysis (SINUM), 51 (3), pp. 1542-1566.

Graham, I., Spence, E., Chandler-Wilde, S. and Langdon, S., 2012. Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering. Acta Numerica, 21, pp. 89-305.

Giani, S. and Graham, I. G., 2012. Adaptive finite element methods for computing band gaps in photonic crystals. Numerische Mathematik, 121 (1), pp. 31-64.

Spence, E. A., Chandler-Wilde, S. N., Graham, I. G. and Smyshlyaev, V. P., 2011. A new frequency-uniform coercive boundary integral equation for acoustic scattering. Communications on Pure and Applied Mathematics, 64 (10), pp. 1384-1415.

Graham, I. G., Kuo, F. Y., Nuyens, D., Scheichl, R. and Sloan, I. H., 2011. Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications. Journal of Computational Physics, 230 (10), pp. 3668-3694.

Betcke, T., Chandler-Wilde, S. N., Graham, I. G., Langdon, S. and Lindner, M., 2011. Condition number estimates for combined potential integral operators in acoustics and their boundary element discretisation. Numerical Methods for Partial Differential Equations, 27 (1), pp. 31-69.

Scheben, F. and Graham, I. G., 2011. Iterative methods for neutron transport eigenvalue problems. SIAM Journal on Scientific Computing, 33 (5), pp. 2785-2804.

Dominguez, V., Graham, I. and Smyshlyaev, V., 2011. Stability and error estimates for Filon-Clenshaw-Curtis rules for highly-oscillatory integrals. IMA Journal of Numerical Analysis, 31 (4), pp. 1253-1280.

Chu, C. C., Graham, I. G. and Hou, T. Y., 2010. A new multiscale finite element method for high-contrast elliptic interface problems. Mathematics of Computation (MCOM), 79 (272), pp. 1915-1955.

Van Lent, J., Scheichl, R. and Graham, I. G., 2009. Energy-minimizing coarse spaces for two-level Schwarz methods for multiscale PDEs. Numerical Linear Algebra with Applications, 16 (10), pp. 775-799.

Chandler-Wilde, S. N., Graham, I. G., Langdon, S. and Lindner, M., 2009. Condition number estimates for combined potential boundary integral operators in acoustic scattering. Journal of Integral Equations and Applications, 21 (2), pp. 229-279.

Giani, S. and Graham, I. G., 2009. A convergent adaptive method for elliptic eigenvalue problems. SIAM Journal on Numerical Analysis (SINUM), 47 (2), pp. 1067-1091.

Graham, I. G., Trevelyan, B. and Chandler-Wilde, S. N., 2009. JIEA : A special issue for the UKBIM6 meeting. Journal of Integral Equations and Applications, 21 (3), pp. 329-330.

Aksoylu, B., Graham, I. G., Klie, H. and Scheichl, R., 2008. Towards a rigorously justified algebraic preconditioner for high-contrast diffusion problems. Computing and Visualization in Science, 11 (4-6), pp. 319-331.

Graham, I. G., Grasedyck, L., Hackbusch, W. and Sauter, S. A., 2008. Optimal panel-clustering in the presence of anisotropic mesh refinement. SIAM Journal on Numerical Analysis (SINUM), 46 (1), pp. 517-543.

Graham, I. G., Lechner, P. O. and Scheichl, R., 2007. Domain decomposition for multiscale PDEs. Numerische Mathematik, 106 (4), pp. 589-626.

Dominguez, V., Graham, I. G. and Smyshlyaev, V. P., 2007. A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering. Numerische Mathematik, 106 (3), pp. 471-510.

Graham, I. G. and Scheichl, R., 2007. Robust domain decomposition algorithms for multiscale PDEs. Numerical Methods for Partial Differential Equations, 23 (4), pp. 859-878.

Berns-Müller, J., Graham, I. G. and Spence, A., 2006. Inexact inverse iteration for symmetric matrices. Linear Algebra and its Applications, 416 (2-3), pp. 389-413.

Graham, I. G. and McLean, W., 2006. Anisotropic mesh refinement: The conditioning of Galerkin boundary element matrices and simple preconditioners. SIAM Journal on Numerical Analysis (SINUM), 44 (4), pp. 1487-1513.

Graham, I. G., Hackbusch, W. and Sauter, S. A., 2005. Finite elements on degenerate meshes: inverse-type inequalities and applications. IMA Journal of Numerical Analysis, 25 (2), pp. 379-407.

Bonner, B. D., Graham, I. G. and Smyshlyaev, V. P., 2005. The computation of conical diffraction coefficients in high-frequency acoustic wave scattering. SIAM Journal on Numerical Analysis (SINUM), 43 (3), pp. 1202-1230.

Ganesh, M. and Graham, I. G., 2004. A high-order algorithm for obstacle scattering in three dimensions. Journal of Computational Physics, 198 (1), pp. 211-242.

Vainikko, E. and Graham, I. G., 2004. A parallel solver for PDE systems and application to the incompressible Navier-Stokes equations. Applied Numerical Mathematics, 49 (1), pp. 97-116.

Dahmen, W., Faermann, B., Graham, I. G., Hackbusch, W. and Sauter, S. A., 2004. Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method. Mathematics of Computation (MCOM), 73 (247), pp. 1107-1138.

Graham, I. G., Spence, A. and Vainikko, E., 2003. Parallel iterative methods for Navier-Stokes equations and application to eigenvalue computation. Concurrency and Computation-Practice & Experience, 15 (11-12), pp. 1151-1168.

Graham, I. G. and Sloan, I. H., 2002. Fully discrete spectral boundary integral methods for Helmholtz problems on smooth closed surfaces in R-3. Numerische Mathematik, 92 (2), pp. 289-323.

Langdon, S. and Graham, I. G., 2001. Boundary integral methods for singularly perturbed boundary value problems. IMA Journal of Numerical Analysis, 21 (1), pp. 217-237.

Chaplain, M. A. J., Ganesh, M. and Graham, I. G., 2001. Spatio-temporal pattern formation on spherical surfaces: numerical simulation and application to solid tumour growth. Journal of Mathematical Biology, 42 (5), pp. 387-423.

Graham, I. G., Hackbusch, W. and Sauter, S. A., 2000. Discrete boundary element methods on general meshes in 3D. Numerische Mathematik, 86 (1), pp. 103-137.

Graham, I. G., Hackbusch, W. and Sauter, S. A., 2000. Hybrid Galerkin boundary elements: Theory and implementation. Numerische Mathematik, 86 (1), pp. 139-172.

Conference or Workshop Items

Graham, I. G. and Scheichl, R., 2007. Coefficient-explicit Condition Number Bounds for Overlapping Additive Schwarz. In: Proceedings of the 17th International Conference on Domain Decomposition Methods, 2007-06-01, Berlin/Heidelberg.

Bonner, B. D. and Graham, I. G., 2001. Numerical aspects of conical diffraction coefficient calculations. In: Harris, P. J., ed. 3rd UK Conference on Boundary Integral Methods, 2001-01-01, Brighton.

This list was generated on Wed Oct 22 05:53:02 2014 IST.