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Items by Budd, Christopher

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Number of items: 62.

Amodio, P., Budd, C. J., Koch, O., Settanni, G. and Weinmüller, E., 2014. Asymptotical computations for a model of flow in saturated porous media. Applied Mathematics and Computation, 237, pp. 155-167.

Freitag, M. A., Nichols, N. K. and Budd, C. J., 2013. Resolution of sharp fronts in the presence of model error in variational data assimilation. Quarterly Journal of the Royal Meteorological Society, 139 (672), pp. 742-757.

Budd, C. J., Cullen, M. J. P. and Walsh, E. J., 2013. Monge–Ampére based moving mesh methods for numerical weather prediction, with applications to the Eady problem. Journal of Computational Physics, 236, pp. 247-270.

Almond, D. P., Budd, C. J., Freitag, M. A., Hunt, G. W., McCullen, N. J. and Smith, N. D., 2013. The origin of power-law emergent scaling in large binary networks. Physica A: Statistical Mechanics and its Applications, 392 (4), pp. 1004-1027.

Browne, P. A., Budd, C., Gould, N. I. M., Kim, H. A. and Scott, J. A., 2012. A fast method for binary programming using first-order derivatives, with application to topology optimization with buckling constraints. International Journal for Numerical Methods in Engineering, 92 (12), pp. 1026-1043.

Dodwell, T. J., Hunt, G. W., Peletier, M. A. and Budd, C. J., 2012. Multi-layered folding with voids. Philosophical Transactions of the Royal Society A - Mathematical Physical and Engineering Sciences, 370 (1965), pp. 1740-1758.

Hunt, G., Butler, R. and Budd, C., 2012. Geometry and mechanics of layered structures and materials. Philosophical Transactions of the Royal Society A - Mathematical Physical and Engineering Sciences, 370 (1965), pp. 1723-1729.

Budd, C., 2012. Improving the Forecasting of Storms. University of Bath.

Dodwell, T. J., Peletier, M. A., Budd, C. J. and Hunt, G. W., 2012. Self-similar voiding solutions of a single layered model of folding rocks. SIAM Journal on Applied Mathematics, 72 (1), pp. 444-463.

Budd, C., Freitag, M. A. and Nichols, N. K., 2011. Regularization techniques for ill-posed inverse problems in data assimilation. Computers and Fluids, 46 (1), pp. 168-173.

Budd, C., Champneys, A., Lord, G. and Virgin, L., 2011. Introduction to special issue on reflections in nonlinear mechanics. IMA Journal of Applied Mathematics, 76 (1), p. 1.

Pring, S. R. and Budd, C. J., 2011. The dynamics of a simplified pinball machine. IMA Journal of Applied Mathematics, 76 (1), pp. 67-84.

Budd, C. J. and Hill, A. D. C., 2011. A comparison of models and methods for simulating the microwave heating of moist foodstuffs. International Journal of Heat and Mass Transfer, 54 (4), pp. 807-817.

Soleimani, M., Stewart, V. and Budd, C., 2011. Crack detection in dielectric objects using electrical capacitance tomography imaging. Insight: Non-Destructive Testing and Condition Monitoring, 53 (1), pp. 21-24.

Green, S. C., Budd, C. J. and Hunt, G. W., 2011. Breathers in a pinned mechanical lattice. SIAM Journal on Applied Dynamical Systems, 10 (1), pp. 66-91.

Budd, C. J., McCullen, N. J. and Almond, D., 2011. Emergent behaviour in large electrical networks. In: Georgoulis, E. H., Iske, A. and Levesley, J., eds. Approximation Algorithms for Complex Systems. Springer, pp. 3-26. (Springer Proceedings in Mathematics 3)

Freitag, M. A., Nichols, N. K. and Budd, C. J., 2010. L1-regularisation for ill-posed problems in variational data assimilation. PAMM - Proceedings in Applied Mathematics and Mechanics, 10 (1), 665 -668.

Smith, N. D., Pokhotelov, D., Mitchell, C. N. and Budd, C., 2010. Image-model coupling : application to an ionospheric storm. Nonlinear Processes in Geophysics, 17 (4), pp. 361-369.

Budd, C. J. and Williams, J. F., 2010. How to adaptively resolve evolutionary singularities in differential equations with symmetry. Journal of Engineering Mathematics, 66 (1-3), pp. 217-236.

Pring, S. R. and Budd, C. J., 2010. The dynamics of regularized discontinuous maps with applications to impacting systems. SIAM Journal on Applied Dynamical Systems, 9 (1), pp. 188-219.

Stewart, V. J., Budd, C. J., Dorn, S. and Soleimani, M., 2010. Crack detection in dielectric objects using electrical capacitance tomography. In: 6th World Congress on Industrial Process Tomography (WCIPT6), 2010-09-06 - 2010-09-09, Beijing.

Budd, C. J., Huang, W. and Russell, R. D., 2009. Adaptivity with moving grids. Acta Numerica, 18, pp. 111-241.

Smith, N. D., Mitchell, C. N. and Budd, C. J., 2009. Image-model coupling : a simple information theoretic perspective for image sequences. Nonlinear Processes in Geophysics, 16 (2), pp. 197-210.

Budd, C. J. and Williams, J. F., 2009. Moving mesh generation using the parabolic Monge–Ampère equation. SIAM Journal on Scientific Computing, 31 (5), pp. 3438-3465.

di Bernardo, M., Budd, C. J., Champneys, A. R., Kowalczyk, P., Nordmark, A. B., Tost, G. O. and Piiroinen, P. T., 2008. Bifurcations in Nonsmooth Dynamical Systems. Siam Review, 50 (4), pp. 629-701.

di Bernardo, M., Budd, C. J., Champneys, A. R. and Kowalczyk, P., 2008. Piecewise-smooth dynamical systems : theory and applications. London, U. K.: Springer-Verlag, London. (Applied Mathematical Sciences; 163)

Mccullen, N. J., Almond, D. P., Budd, C. J. and Hunt, G. W., 2008. The robustness of the emergent scaling property of random RC network models of complex materials. Journal of Physics D: Applied Physics, 42 (6), 064001.

Edwards, C. S., Kim, H. A. and Budd, C. J., 2007. An evaluative study on ESO and SIMP for optimising a cantilever tie-beam. Structural and Multidisciplinary Optimization, 34 (5), pp. 403-414.

Boon, J. A., Budd, C. J. and Hunt, G. W., 2007. Level set methods for the displacement of layered materials. Proceedings of the Royal Society of London Series A - Mathematical Physical and Engineering Sciences, 463 (2082), pp. 1447-1466.

Boon, J. A., Budd, C. J. and Hunt, G. W., 2007. Level set methods for the displacement of layered materials. Proceedings of the Royal Society of London Series A - Mathematical Physical and Engineering Sciences, 463 (2082), pp. 1447-1466.

Budd, C. J. and Williams, J. F., 2006. Parabolic Monge-Ampère methods for blow-up problems in several spatial dimensions. Journal of Physics A: Mathematical and General, 39 (19), pp. 5425-5444.

Budd, C., Koch, O. and Weinmuller, E., 2006. Computation of self-similar solution profiles for the nonlinear Schrodinger equation. Computing, 77 (4), pp. 335-346.

Budd, C. J. and Piiroinen, P. T., 2006. Corner bifurcations in non-smoothly forced impact oscillators. Physica D: Nonlinear Phenomena, 220 (2), pp. 127-145.

Budd, C., Koch, O. and Weinmuller, E., 2006. From nonlinear PDEs to singular ODEs. Applied Numerical Mathematics, 56 Mar-Apr (3-4), pp. 413-422.

Edwards, C. S., Kim, H. A. and Budd, C. J., 2006. Investigation on the Validity of Topology Optimisation Method. Working Paper. Bath Institute for Complex Systems.

Hunt, G. W., Edmunds, R., Budd, C. J. and Cosgrove, J. W., 2006. Serial parallel folding with friction: a primitive model using cubic B-splines. Journal of Structural Geology, 28 (3), pp. 444-455.

Blanes, S. and Budd, C. J., 2005. Adaptive geometric integrators for Hamiltonian problems with approximate scale invariance. SIAM Journal on Scientific Computing, 26 (4), pp. 1089-1113.

Beardmore, R. E., Peletier, M. A., Budd, C. J. and Wadee, M. A., 2005. Bifurcations of periodic solutions satisfying the zero-Hamiltonian constraint in reversible differential equations. SIAM Journal on Mathematical Analysis (SIMA), 36 (5), pp. 1461-1488.

Budd, C. J. and Kuske, R., 2005. Localized periodic patterns for the non-symmetric generalized Swift-Hohenberg equation. Physica D: Nonlinear Phenomena, 208 (1-2), pp. 73-95.

Budd, C. J., Rottschafer, V. and Williams, J. F., 2005. Multibump, blow-up, self-similar solutions of the complex Ginzburg-Landau equation. SIAM Journal on Applied Dynamical Systems, 4 (3), pp. 649-678.

Budd, C. J., Carretero-Gonzalez, R. and Russell, R. D., 2005. Precise computations of chemotactic collapse using moving mesh methods. Journal of Computational Physics, 202 (2), pp. 463-487.

Blanes, S. and Budd, C. J., 2004. Explicit adaptive symplectic (EASY) integrators: A scaling invariant generalisation of the Levi-Civita and KS regularisations. Celestial Mechanics & Dynamical Astronomy, 89 (4), pp. 383-405.

Budd, C. J., Galaktionov, V. A. and Williams, J. F., 2004. Self-similar blow-up in higher-order semilinear parabolic equations. SIAM Journal on Applied Mathematics, 64 (5), pp. 1775-1809.

Budd, C. J., Edmunds, R. and Hunt, G. W., 2003. A nonlinear model for parallel folding with friction. Proceedings of the Royal Society of London Series A - Mathematical Physical and Engineering Sciences, 459 (2036), pp. 2097-2119.

Budd, C. J. and Piggott, M. D., 2003. Geometric integration and its applications. In: Handbook of numerical analysis, Vol.\ XI. Amsterdam: North-Holland, 35--139. (Handb. Numer. Anal., XI)

Budd, C. J. and Humphries, A. R., 2003. Numerical and analytical estimates of existence regions for semi-linear elliptic equations with critical Sobolev exponents in cuboid and cylindrical domains. Journal of Computational and Applied Mathematics, 151 (1), pp. 59-84.

Budd, C. and Peregrine, H., 2003. Philip Gerald Drazin - Obituary. Physics Today, 56 (3), pp. 100-102.

Budd, C. J., 2003. Prof. Philip Gerald Drazin 1934-2002 - In memoriam. Fluid Dynamics Research, 33 (1-2), pp. 1-3.

Budd, C. J., 2002. Asymptotics of multibump blow-up self-similar solutions of the nonlinear Schrodinger equation. SIAM Journal on Applied Mathematics, 62 (3), pp. 801-830.

Budd, C. J. and Wilson, J. P., 2002. Bogdanov-Takens bifurcation points and Sil'nikov homoclinicity in a simple power-system model of voltage collapse. IEEE Transactions on Circuits and Systems. Part I: Fundamental Theory and Applications, 49 (5), pp. 575-590.

Budd, C., 2002. Philip Gerald Drazin 1934--2002. Mathematics Today, 38 (2), p. 35.

Budd, C. J. and Piggott, M. D., 2001. The geometric integration of scale-invariant ordinary and partial differential equations. Journal of Computational and Applied Mathematics, 128 (1-2), pp. 399-422.

Budd, C. J., Hunt, G. W. and Kuske, R., 2001. Asymptotics of cellular buckling close to the Maxwell load. Proceedings of the Royal Society of London Series A - Mathematical Physical and Engineering Sciences, 457 (2016), pp. 2935-2964.

di Bernardo, M., Budd, C. J. and Champneys, A. R., 2001. Corner collision implies border-collision bifurcation. Physica D: Nonlinear Phenomena, 154 (3-4), pp. 171-194.

di Bernardo, M., Budd, C. J. and Champneys, A. R., 2001. Grazing and border-collision in piecewise-smooth systems: A unified analytical framework. Physical Review Letters, 86 (12), pp. 2553-2556.

Budd, C. J., Huang, H. and Russell, R. D., 2001. Mesh selection for a nearly singular boundary value problem. Journal of Scientific Computing, 16 (4), p. 525.

di Bernardo, M., Budd, C. J. and Champneys, A. R., 2001. Normal form maps for grazing bifurcations in n-dimensional piecewise-smooth dynamical systems. Physica D: Nonlinear Phenomena, 160 (3-4), pp. 222-254.

Budd, C. J., Leimkuhler, B. and Piggott, M. D., 2001. Scaling invariance and adaptivity. Applied Numerical Mathematics, 39 (3-4), pp. 261-288.

Budd, C. and Dorodnitsyn, V., 2001. Symmetry-adapted moving mesh schemes for the nonlinear Schrodinger equation. Journal of Physics A: Mathematical and General, 34 (48), pp. 10387-10400.

Hunt, G. W., Peletier, M. A., Champneys, A. R., Woods, P. D., Ahmer Wadee, M., Budd, C. J. and Lord, G. J., 2000. Cellular buckling in long structures. Nonlinear Dynamics, 21 (1), pp. 3-29.

Budd, C. J., Hunt, G. W. and Peletier, M. A., 1999. Self-similar fold evolution under prescribed end-shortening. Mathematical Geology, 31 (8), pp. 989-1005.

Budd, C. J., Huang, W. and Russell, R. D., 1996. Moving mesh methods for problems with blow-up. SIAM Journal on Scientific Computing, 17 (2), pp. 305-327.

This list was generated on Fri Jul 25 07:01:52 2014 IST.