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## Budd, Christopher John

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 Author ID: budd.chris-j Published as: Budd, C. J.; Budd, Chris; Budd, Chris J.; Budd, C.; Budd, Christopher J.; Budd, Christopher Homepage: http://people.bath.ac.uk/mascjb/ External Links: MGP · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef
 Documents Indexed: 117 Publications since 1987, including 3 Books Biographic References: 2 Publications
all top 5

#### Co-Authors

 15 single-authored 9 Hunt, Giles W. 8 Galaktionov, Victor Aleksandrovich 8 Russell, Robert D. 6 Champneys, Alan R. 6 Peletier, Mark Adriaan 5 di Bernardo, Mario 5 Humphries, Antony R. 5 Koch, Othmar 5 Weinmüller, Ewa B. 4 Collins, G. J. 4 Huang, Weizhang 4 Wheeler, Adam A. 3 Dodwell, Timothy J. 3 Dold, James W. 3 Dux, Felix 3 Kuske, Rachel A. 3 Piggott, Matthew D. 3 Stuart, Andrew M. 2 Amodio, Pierluigi 2 Blanes, Sergio 2 Browne, P. A. 2 Chen, Jianping 2 Cotter, Colin John 2 Freitag, Melina A. 2 Iserles, Arieh 2 Kowalczyk, Piotr 2 McRae, Andrew T. T. 2 Melvin, Thomas R. O. 2 Norbury, John W. 2 Peletier, Lambertus Adrianus 2 Piiroinen, Petri T. 2 Pring, Stephen R. 2 Qi, Yuanwei 2 Rottschäfer, Vivi 2 Settanni, Giuseppina 2 Wadee, M. Ahmer 2 Walsh, Emily J. 2 Wathen, Andrew John 1 Almond, Darryl P. 1 Beardmore, Robert Eric 1 Boakes, Norma 1 Bolitho, Mark 1 Boon, J. A. 1 Browne, Philip 1 Brunner, Hermann 1 Butler, Richard J. 1 Carretero-González, Ricardo 1 Chakhchoukh, Amine N. 1 Chen, Shaohua 1 Chen, Yan 1 Cliffe, Andrew K. 1 Cook, S. P. 1 Cook, Stephen Arthur 1 Cullen, Michael John Priestley 1 Cullen, Mike 1 Dold, Bill 1 Dorodnitsyn, Vladimir A. 1 Edmunds, R. M. 1 Frecker, Mary I. 1 Friedman, Avner 1 Glendinning, Paul Alexander 1 Gould, Nicholas Ian Mark 1 Green, Steven C. 1 Guest, Simon D. 1 Hill, A. D. C. 1 Hill, Adrian T. 1 Huang, Huaxiong 1 Hull, Thomas C. 1 Hutson, V. C. L. 1 Jenkins, S. E. 1 Keogh, Patrick S. 1 Kim, H. Alicia 1 Klett, Yves 1 Knaap, Mariette C. 1 Koomullil, G. P. 1 Lang, Robert J. 1 Lee, Alex G. 1 Leimkuhler, Benedict J. 1 Lord, Gabriel James 1 McCullen, Nick J. 1 McLeod, John Bryce 1 Mitani, Jun 1 Mora, Karin 1 Morupisi, Kgomotso S. 1 Murdoch, Timothy A. 1 Nichols, Nancy K. 1 Nordmark, Arne B. 1 Pardo, Jorge 1 Paulino, Glaucio H. 1 Schenk, Mark 1 Scott, Jennifer A. 1 Sloan, David M. 1 Smith, N. D. 1 Stockie, John M. 1 Swailes, David C. 1 Tachi, Tomohiro 1 Taghizadeh, Leila 1 Tost, Gerard Olivar 1 Uehara, Ryuhei 1 Ugwu, Ugochukwu O. ...and 7 more Co-Authors
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#### Serials

 9 Journal of Computational Physics 7 SIAM Journal on Applied Mathematics 6 Journal of Computational and Applied Mathematics 6 Physica D 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 SIAM Journal on Scientific Computing 5 Applied Numerical Mathematics 5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 5 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 IMA Journal of Applied Mathematics 3 Journal of Differential Equations 3 European Mathematical Society Newsletter 3 SIAM Journal on Applied Dynamical Systems 2 Nonlinearity 2 Applied Mathematics and Computation 2 Asymptotic Analysis 2 Journal of Physics A: Mathematical and General 2 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 2 SIAM Journal on Mathematical Analysis 1 Computers and Fluids 1 IMA Journal of Numerical Analysis 1 International Journal of Heat and Mass Transfer 1 Journal of Engineering Mathematics 1 Journal of Mathematical Biology 1 Journal of Sound and Vibration 1 Fluid Dynamics Research 1 Calcolo 1 Computing 1 International Journal for Numerical Methods in Engineering 1 The Review of Economic Studies 1 Studies in Applied Mathematics 1 Journal of Scientific Computing 1 European Journal of Applied Mathematics 1 IEEE Transactions on Circuits and Systems. I: Fundamental Theory and Applications 1 Applied Mathematical Modelling 1 SIAM Review 1 Celestial Mechanics and Dynamical Astronomy 1 Philosophical Transactions of the Royal Society of London. Series A 1 Advances in Differential Equations 1 Nonlinear Dynamics 1 Mathematical Geology 1 Acta Numerica 1 Applied Mathematical Sciences
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#### Fields

 61 Partial differential equations (35-XX) 49 Numerical analysis (65-XX) 23 Ordinary differential equations (34-XX) 23 Dynamical systems and ergodic theory (37-XX) 16 Mechanics of particles and systems (70-XX) 11 Geophysics (86-XX) 10 Mechanics of deformable solids (74-XX) 8 Optics, electromagnetic theory (78-XX) 6 General and overarching topics; collections (00-XX) 6 Fluid mechanics (76-XX) 5 Biology and other natural sciences (92-XX) 3 Functional analysis (46-XX) 3 Mathematics education (97-XX) 2 History and biography (01-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

96 Publications have been cited 1,901 times in 1,424 Documents Cited by Year
Piecewise-smooth dynamical systems. Theory and applications. Zbl 1146.37003
di Bernardo, M.; Budd, C. J.; Champneys, A. R.; Kowalczyk, P.
2008
Bifurcations in nonsmooth dynamical systems. Zbl 1168.34006
di Bernardo, Mario; Budd, Chris J.; Champneys, Alan R.; Kowalczyk, Piotr; Nordmark, Arne B.; Tost, Gerard Olivar; Piiroinen, Petri T.
2008
Moving mesh methods for problems with blow-up. Zbl 0860.35050
Budd, Chris J.; Huang, Weizhang; Russell, Robert D.
1996
Adaptivity with moving grids. Zbl 1181.65122
Budd, Chris J.; Huang, Weizhang; Russell, Robert D.
2009
Normal form maps for grazing bifurcations in $$n$$-dimensional piecewise-smooth dynamical systems. Zbl 1067.37063
di Bernardo, M.; Budd, C. J.; Champneys, A. R.
2001
Grazing, skipping and sliding: Analysis of the non-smooth dynamics of the DC/DC buck converter. Zbl 0904.34034
di Bernardo, Mario; Budd, Chris; Champneys, Alan
1998
Cellular buckling in long structures. Zbl 0974.74024
Hunt, G. W.; Peletier, M. A.; Champneys, A. R.; Woods, P. D.; Ahmer Wadee, M.; Budd, C. J.; Lord, G. J.
2000
Forced quasiperiodic oscillations of linear parametrically excited systems. (Chattering and related behaviour in impact oscillators.) Zbl 0816.70018
Budd, Chris; Dux, Felix
1994
Semilinear elliptic equations and supercritical growth. Zbl 0618.34039
Budd, C.; Norbury, J.
1987
Geometric integration: Numerical solution of differential equations on manifolds. Zbl 0933.65142
Budd, C. J.; Iserles, A.
1999
Corner collision implies border-collision bifurcation. Zbl 0984.34028
di Bernardo, M.; Budd, C. J.; Champneys, A. R.
2001
Blow-up in a partial differential equation with conserved first integral. Zbl 0784.35009
Budd, Chris; Dold, Bill; Stuart, Andrew
1993
Moving mesh generation using the parabolic Monge-Ampère equation. Zbl 1200.65099
Budd, C. J.; Williams, J. F.
2009
Geometric integration and its applications. Zbl 1062.65134
Budd, C. J.; Piggott, M. D.
2003
The effect of frequency and clearance variations on single-degree-of-freedom impact oscillators. Zbl 0982.70517
Budd, C.; Dux, F.; Cliffe, A.
1995
New self-similar solutions of the nonlinear Schrödinger equation with moving mesh computations. Zbl 0942.65085
Budd, Chris J.; Chen, Shaohua; Russell, Robert D.
1999
Self-similar blow-up in higher-order semilinear parabolic equations. Zbl 1112.35095
Budd, C. J.; Galaktionov, V. A.; Williams, J. F.
2004
Precise computations of chemotactic collapse using moving mesh methods. Zbl 1063.65096
Budd, C. J.; Carretero-González, R.; Russell, R. D.
2005
The existence of bounded solutions of a semilinear elliptic equation. Zbl 0709.35039
Budd, C. J.; Qi, Yuan-Wei
1989
Parabolic Monge-Ampère methods for blow-up problems in several spatial dimensions. Zbl 1096.35070
Budd, C. J.; Williams, J. F.
2006
Monge-Ampère based moving mesh methods for numerical weather prediction, with applications to the Eady problem. Zbl 1286.65178
Budd, C. J.; Cullen, M. J. P.; Walsh, E. J.
2013
Intermittency in impact oscillators close to resonance. Zbl 0807.34046
Budd, Chris; Dux, Felix
1994
Non-smooth dynamical systems and the grazing bifurcation. Zbl 0870.70020
Budd, C. J.
1996
A model of the evolution of duopoly: Does the asymmetry between firms tend to increase or decrease? Zbl 0782.90027
Budd, Christopher; Harris, Christopher; Vickers, John
1993
Asymptotic behaviour of solutions of elliptic equations with critical exponents and Neumann boundary conditions. Zbl 0733.35038
Budd, C.; Knaap, M. C.; Peletier, L. A.
1991
Corner bifurcations in nonsmoothly forced impact oscillators. Zbl 1113.37060
Budd, Chris J.; Piiroinen, Petri T.
2006
Self-similar numerical solutions of the porous-medium equation using moving mesh methods. Zbl 0931.76079
Budd, C. J.; Collins, G. J.; Huang, W. Z.; Russell, R. D.
1999
From nonlinear PDEs to singular ODEs. Zbl 1089.65104
Budd, Chris; Koch, Othmar; Weinmüller, Ewa
2006
Localized periodic patterns for the non-symmetric generalized Swift-Hohenberg equation. Zbl 1073.35037
Budd, C. J.; Kuske, R.
2005
Symmetry-adapted moving mesh schemes for the nonlinear Schrödinger equation. Zbl 0991.65085
Budd, Chris; Dorodnitsyn, Vladimir
2001
Asymptotics of cellular buckling close to the Maxwell load. Zbl 1011.74023
Budd, C. J.; Hunt, G. W.; Kuske, R.
2001
Scaling invariance and adaptivity. Zbl 0998.65070
Budd, C. J.; Leimkuhler, B.; Piggott, M. D.
2001
Semilinear elliptic equations with near critical growth rates. Zbl 0662.35003
Budd, C.
1987
Computation of self-similar solution profiles for the nonlinear Schrödinger equation. Zbl 1122.65066
Budd, C.; Koch, O.; Weinmüller, E.
2006
An asymptotic and numerical description of self-similar blow-up in quasilinear parabolic equations. Zbl 0932.65099
Budd, C. J.; Collins, G. J.; Galaktionov, V. A.
1998
The geometric integration of scale-invariant ordinary and partial differential equations. Zbl 0974.65095
Budd, C. J.; Piggott, M. D.
2001
How to adaptively resolve evolutionary singularities in differential equations with symmetry. Zbl 1204.35016
Budd, C. J.; Williams, J. F.
2010
Moving mesh methods with applications to blow-up problems for PDEs. Zbl 0843.65065
Budd, C. J.; Chen, Jianping; Huang, W.; Russell, R. D.
1996
Blow-up in a system of partial differential equations with conserved first integral. II: Problems with convection. Zbl 0928.35081
Budd, C. J.; Dold, J. W.; Stuart, A. M.
1994
Stability and spectra of blow-up in problems with quasi-linear gradient diffusivity. Zbl 1023.35053
Budd, Chris; Galaktionov, Victor
1998
Asymptotics of multibump blow-up self-similar solutions of the nonlinear Schrödinger equation. Zbl 0993.35082
Budd, C. J.
2001
Symmetry based numerical methods for partial differential equations. Zbl 0902.65069
Budd, C. J.; Collins, G. J.
1998
Fast three dimensional r-adaptive mesh redistribution. Zbl 1349.65419
Browne, P. A.; Budd, C. J.; Piccolo, C.; Cullen, M.
2014
Focusing blow-up for quasilinear parabolic equations. Zbl 0917.35061
Budd, C. J.; Galaktionov, V. A.; Chen, Jianping
1998
Mesh adaptation on the sphere using optimal transport and the numerical solution of a Monge-Ampère type equation. Zbl 1351.86008
Weller, Hilary; Browne, Philip; Budd, Chris; Cullen, Mike
2016
An invariant moving mesh scheme for the nonlinear diffusion equation. Zbl 0911.65081
Budd, C. J.; Collins, G. J.
1998
Self-similar voiding solutions of a single layered model of folding rocks. Zbl 1243.34063
Dodwell, T. J.; Peletier, M. A.; Budd, C. J.; Hunt, G. W.
2012
The dynamics of regularized discontinuous maps with applications to impacting systems. Zbl 1192.37071
Pring, S. R.; Budd, C. J.
2010
Applications of Shilnikov’s theory to semilinear elliptic equations. Zbl 0703.35064
Budd, C. J.
1989
The geometry of r-adaptive meshes generated using optimal transport methods. Zbl 1352.65603
Budd, C. J.; Russell, R. D.; Walsh, E.
2015
Adaptive geometric integrators for Hamiltonian problems with approximate scale invariance. Zbl 1076.65115
Blanes, S.; Budd, C. J.
2005
Multibump, blow-up, self-similar solutions of the complex Ginzburg-Landau equation. Zbl 1170.35530
Budd, C. J.; Rottschäfer, V.; Williams, J. F.
2005
A nonlinear model for parallel folding with friction. Zbl 1041.74050
Budd, C. J.; Edmunds, R.; Hunt, G. W.
2003
Grazing in impact oscillators. Zbl 0840.34025
Budd, Chris
1995
Optimal-transport – based mesh adaptivity on the plane and sphere using finite elements. Zbl 1448.65143
McRae, Andrew T. T.; Cotter, Colin J.; Budd, Chris J.
2018
The space charge problem. Zbl 0699.35229
Budd, Chris J.; Friedman, Avner; McLeod, Bryce; Wheeler, Adam A.
1990
Asymptotical computations for a model of flow in saturated porous media. Zbl 1334.76148
Amodio, P.; Budd, C. J.; Koch, O.; Settanni, G.; Weinmüller, E.
2014
Spatial patterns in population conflicts. Zbl 0773.92014
Vickers, G. T.; Hutson, V. C. L.; Budd, C. J.
1993
The global dynamics of impact oscillators. Zbl 0829.34029
Budd, Chris
1995
Level set methods for the displacement of layered materials. Zbl 1129.74012
Boon, J. A.; Budd, C. J.; Hunt, G. W.
2007
Bifurcations of periodic solutions satisfying the zero-Hamiltonian constraint in reversible differential equations. Zbl 1093.37020
Beardmore, R. E.; Peletier, M. A.; Budd, C. J.; Wadee, M. Ahmer
2005
On the solution of convection-diffusion boundary value problems using equidistributed grids. Zbl 0924.65080
Budd, C. J.; Koomullil, G. P.; Stuart, A. M.
1999
The finite element approximation of semilinear elliptic partial differential equations with critical exponents in the cube. Zbl 0924.35049
Budd, C. J.; Humphries, A. R.; Wathen, A. J.
1999
Self-similar fold evolution under prescribed end-shortening. Zbl 0970.86018
Budd, Chris J.; Hunt, Giles W.; Peletier, Mark A.
1999
The dynamics of a simplified pinball machine. Zbl 1215.70009
Pring, S. R.; Budd, C. J.
2011
Bogdanov-Takens bifurcation points and Šil’nikov homoclinicity in a simple power-system model of voltage collapse. Zbl 1368.37086
Budd, C. J.; Wilson, J. P.
2002
Comparison theorems for radial solutions of semilinear elliptic equations. Zbl 0667.35021
Budd, C. J.
1988
Critical diffusion exponents for self-similar blow-up solutions of a quasilinear parabolic equation with an exponential source. Zbl 0849.35047
Budd, Chris J.; Galaktionov, Victor A.
1996
Double impact orbits of periodically forced impact oscillators. Zbl 0885.70019
Budd, C. J.; Lee, A. G.
1996
Multi-layered folding with voids. Zbl 1250.74007
Dodwell, T. J.; Hunt, G. W.; Peletier, M. A.; Budd, C. J.
2012
Weak finite-dimensional approximations of semi-linear elliptic PDEs with near-critical exponents. Zbl 1155.65389
Budd, C. J.; Humphries, A. R.
1998
Explicit adaptive symplectic (EASY) integrators: a scaling invariant generalisation of the Levi-Civita and KS regularisations. Zbl 1145.70320
Blanes, Sergio; Budd, Chris J.
2004
Regularization techniques for ill-posed inverse problems in data assimilation. Zbl 1433.65107
Budd, C. J.; Freitag, M. A.; Nichols, N. K.
2011
Non-smooth Hopf-type bifurcations arising from impact-friction contact events in rotating machinery. Zbl 1371.70006
Mora, Karin; Budd, Chris; Glendinning, Paul; Keogh, Patrick
2014
A fast method for binary programming using first-order derivatives, with application to topology optimization with buckling constraints. Zbl 1352.74234
Browne, P. A.; Budd, C.; Gould, N. I. M.; Kim, H. A.; Scott, J. A.
2012
Geometric integration: numerical solution of differential equations on manifolds. Zbl 0929.00019
Budd, C. J. (ed.); Iserles, A. (ed.)
1999
Mathematics galore! Masterclasses, workshops, and team projects in mathematics and its applications. Zbl 0970.00004
Budd, C. J.; Sangwin, C. J.
2001
The scaling and skewness of optimally transported meshes on the sphere. Zbl 1416.65323
Budd, Chris J.; McRae, Andrew T. T.; Cotter, Colin J.
2018
On self-similar blow-up in evolution equations of Monge-Ampère type. Zbl 1267.35045
Budd, C. J.; Galaktionov, V. A.
2013
The effect of numerical model error on data assimilation. Zbl 1321.65133
Jenkins, S. E.; Budd, C. J.; Freitag, M. A.; Smith, N. D.
2015
Global blow-up for a semilinear heat equation on a subspace. Zbl 1335.35134
Budd, C. J.; Dold, J. W.; Galaktionov, V. A.
2015
Multilayer asymptotic solution for wetting fronts in porous media with exponential moisture diffusivity. Zbl 1382.76242
Budd, Christopher J.; Stockie, John M.
2016
Asymptotics for semilinear elliptic equations with supercritical nonlinearities in annular domains. Zbl 0779.35014
Budd, C. J.; Peletier, L. A.
1993
A new approach to the space-charge problem. Zbl 0654.35074
Budd, C. J.; Wheeler, A. A.
1988
Exact solutions of the space charge equation using the hodograph method. Zbl 0659.65123
Budd, C. J.; Wheeler, A. A.
1988
Symmetry breaking and semilinear elliptic equations. Zbl 0676.65106
Budd, Chris
1989
Convergent and spurious solutions of nonlinear elliptic equations. Zbl 0758.65068
Murdoch, T.; Budd, C. J.
1992
Adaptive methods for semi-linear elliptic equations with critical exponents and interior singularities. Zbl 0895.65053
Budd, C. J.; Humphries, A. R.
1998
Finite element method solutions for semi-linear elliptic PDEs with critical Sobolev exponents on non-spherical 3D domains. Zbl 0963.35065
Humphries, A. R.; Budd, C. J.; Wathen, A. J.
1998
Mesh selection for a nearly singular boundary value problem. Zbl 0998.65079
Budd, Chris J.; Huang, Huaxiong; Russell, Robert D.
2001
Geometry and mechanics of layered structures and materials. Zbl 1250.74004
Hunt, Giles (ed.); Butler, Richard (ed.); Budd, Chris (ed.)
2012
Numerical and analytical estimates of existence regions for semi-linear elliptic equations with critical Sobolev exponents in cuboid and cylindrical domains. Zbl 1016.65082
Budd, C. J.; Humphries, A. R.
2003
Coronas and the space charge problem. Zbl 0729.35134
Budd, Chris
1991
Self-similar blow-up for a quasilinear parabolic equation with gradient diffusion and exponential source. Zbl 1023.35516
Budd, Chris J.; Dold, James W.; Galaktionov, Victor A.
1997
Breathers in a pinned mechanical lattice. Zbl 1213.70014
Green, S. C.; Budd, C. J.; Hunt, G. W.
2011
The moving mesh semi-Lagrangian MMSISL method. Zbl 1452.65217
Cook, S. P.; Budd, C. J.; Melvin, T.
2019
The moving mesh semi-Lagrangian MMSISL method. Zbl 1452.65217
Cook, S. P.; Budd, C. J.; Melvin, T.
2019
Optimal-transport – based mesh adaptivity on the plane and sphere using finite elements. Zbl 1448.65143
McRae, Andrew T. T.; Cotter, Colin J.; Budd, Chris J.
2018
The scaling and skewness of optimally transported meshes on the sphere. Zbl 1416.65323
Budd, Chris J.; McRae, Andrew T. T.; Cotter, Colin J.
2018
Mesh adaptation on the sphere using optimal transport and the numerical solution of a Monge-Ampère type equation. Zbl 1351.86008
Weller, Hilary; Browne, Philip; Budd, Chris; Cullen, Mike
2016
Multilayer asymptotic solution for wetting fronts in porous media with exponential moisture diffusivity. Zbl 1382.76242
Budd, Christopher J.; Stockie, John M.
2016
The geometry of r-adaptive meshes generated using optimal transport methods. Zbl 1352.65603
Budd, C. J.; Russell, R. D.; Walsh, E.
2015
The effect of numerical model error on data assimilation. Zbl 1321.65133
Jenkins, S. E.; Budd, C. J.; Freitag, M. A.; Smith, N. D.
2015
Global blow-up for a semilinear heat equation on a subspace. Zbl 1335.35134
Budd, C. J.; Dold, J. W.; Galaktionov, V. A.
2015
Fast three dimensional r-adaptive mesh redistribution. Zbl 1349.65419
Browne, P. A.; Budd, C. J.; Piccolo, C.; Cullen, M.
2014
Asymptotical computations for a model of flow in saturated porous media. Zbl 1334.76148
Amodio, P.; Budd, C. J.; Koch, O.; Settanni, G.; Weinmüller, E.
2014
Non-smooth Hopf-type bifurcations arising from impact-friction contact events in rotating machinery. Zbl 1371.70006
Mora, Karin; Budd, Chris; Glendinning, Paul; Keogh, Patrick
2014
Monge-Ampère based moving mesh methods for numerical weather prediction, with applications to the Eady problem. Zbl 1286.65178
Budd, C. J.; Cullen, M. J. P.; Walsh, E. J.
2013
On self-similar blow-up in evolution equations of Monge-Ampère type. Zbl 1267.35045
Budd, C. J.; Galaktionov, V. A.
2013
Self-similar voiding solutions of a single layered model of folding rocks. Zbl 1243.34063
Dodwell, T. J.; Peletier, M. A.; Budd, C. J.; Hunt, G. W.
2012
Multi-layered folding with voids. Zbl 1250.74007
Dodwell, T. J.; Hunt, G. W.; Peletier, M. A.; Budd, C. J.
2012
A fast method for binary programming using first-order derivatives, with application to topology optimization with buckling constraints. Zbl 1352.74234
Browne, P. A.; Budd, C.; Gould, N. I. M.; Kim, H. A.; Scott, J. A.
2012
Geometry and mechanics of layered structures and materials. Zbl 1250.74004
Hunt, Giles; Butler, Richard; Budd, Chris
2012
The dynamics of a simplified pinball machine. Zbl 1215.70009
Pring, S. R.; Budd, C. J.
2011
Regularization techniques for ill-posed inverse problems in data assimilation. Zbl 1433.65107
Budd, C. J.; Freitag, M. A.; Nichols, N. K.
2011
Breathers in a pinned mechanical lattice. Zbl 1213.70014
Green, S. C.; Budd, C. J.; Hunt, G. W.
2011
How to adaptively resolve evolutionary singularities in differential equations with symmetry. Zbl 1204.35016
Budd, C. J.; Williams, J. F.
2010
The dynamics of regularized discontinuous maps with applications to impacting systems. Zbl 1192.37071
Pring, S. R.; Budd, C. J.
2010
Adaptivity with moving grids. Zbl 1181.65122
Budd, Chris J.; Huang, Weizhang; Russell, Robert D.
2009
Moving mesh generation using the parabolic Monge-Ampère equation. Zbl 1200.65099
Budd, C. J.; Williams, J. F.
2009
Piecewise-smooth dynamical systems. Theory and applications. Zbl 1146.37003
di Bernardo, M.; Budd, C. J.; Champneys, A. R.; Kowalczyk, P.
2008
Bifurcations in nonsmooth dynamical systems. Zbl 1168.34006
di Bernardo, Mario; Budd, Chris J.; Champneys, Alan R.; Kowalczyk, Piotr; Nordmark, Arne B.; Tost, Gerard Olivar; Piiroinen, Petri T.
2008
Level set methods for the displacement of layered materials. Zbl 1129.74012
Boon, J. A.; Budd, C. J.; Hunt, G. W.
2007
Parabolic Monge-Ampère methods for blow-up problems in several spatial dimensions. Zbl 1096.35070
Budd, C. J.; Williams, J. F.
2006
Corner bifurcations in nonsmoothly forced impact oscillators. Zbl 1113.37060
Budd, Chris J.; Piiroinen, Petri T.
2006
From nonlinear PDEs to singular ODEs. Zbl 1089.65104
Budd, Chris; Koch, Othmar; Weinmüller, Ewa
2006
Computation of self-similar solution profiles for the nonlinear Schrödinger equation. Zbl 1122.65066
Budd, C.; Koch, O.; Weinmüller, E.
2006
Precise computations of chemotactic collapse using moving mesh methods. Zbl 1063.65096
Budd, C. J.; Carretero-González, R.; Russell, R. D.
2005
Localized periodic patterns for the non-symmetric generalized Swift-Hohenberg equation. Zbl 1073.35037
Budd, C. J.; Kuske, R.
2005
Adaptive geometric integrators for Hamiltonian problems with approximate scale invariance. Zbl 1076.65115
Blanes, S.; Budd, C. J.
2005
Multibump, blow-up, self-similar solutions of the complex Ginzburg-Landau equation. Zbl 1170.35530
Budd, C. J.; Rottschäfer, V.; Williams, J. F.
2005
Bifurcations of periodic solutions satisfying the zero-Hamiltonian constraint in reversible differential equations. Zbl 1093.37020
Beardmore, R. E.; Peletier, M. A.; Budd, C. J.; Wadee, M. Ahmer
2005
Self-similar blow-up in higher-order semilinear parabolic equations. Zbl 1112.35095
Budd, C. J.; Galaktionov, V. A.; Williams, J. F.
2004
Explicit adaptive symplectic (EASY) integrators: a scaling invariant generalisation of the Levi-Civita and KS regularisations. Zbl 1145.70320
Blanes, Sergio; Budd, Chris J.
2004
Geometric integration and its applications. Zbl 1062.65134
Budd, C. J.; Piggott, M. D.
2003
A nonlinear model for parallel folding with friction. Zbl 1041.74050
Budd, C. J.; Edmunds, R.; Hunt, G. W.
2003
Numerical and analytical estimates of existence regions for semi-linear elliptic equations with critical Sobolev exponents in cuboid and cylindrical domains. Zbl 1016.65082
Budd, C. J.; Humphries, A. R.
2003
Bogdanov-Takens bifurcation points and Šil’nikov homoclinicity in a simple power-system model of voltage collapse. Zbl 1368.37086
Budd, C. J.; Wilson, J. P.
2002
Normal form maps for grazing bifurcations in $$n$$-dimensional piecewise-smooth dynamical systems. Zbl 1067.37063
di Bernardo, M.; Budd, C. J.; Champneys, A. R.
2001
Corner collision implies border-collision bifurcation. Zbl 0984.34028
di Bernardo, M.; Budd, C. J.; Champneys, A. R.
2001
Symmetry-adapted moving mesh schemes for the nonlinear Schrödinger equation. Zbl 0991.65085
Budd, Chris; Dorodnitsyn, Vladimir
2001
Asymptotics of cellular buckling close to the Maxwell load. Zbl 1011.74023
Budd, C. J.; Hunt, G. W.; Kuske, R.
2001
Scaling invariance and adaptivity. Zbl 0998.65070
Budd, C. J.; Leimkuhler, B.; Piggott, M. D.
2001
The geometric integration of scale-invariant ordinary and partial differential equations. Zbl 0974.65095
Budd, C. J.; Piggott, M. D.
2001
Asymptotics of multibump blow-up self-similar solutions of the nonlinear Schrödinger equation. Zbl 0993.35082
Budd, C. J.
2001
Mathematics galore! Masterclasses, workshops, and team projects in mathematics and its applications. Zbl 0970.00004
Budd, C. J.; Sangwin, C. J.
2001
Mesh selection for a nearly singular boundary value problem. Zbl 0998.65079
Budd, Chris J.; Huang, Huaxiong; Russell, Robert D.
2001
Cellular buckling in long structures. Zbl 0974.74024
Hunt, G. W.; Peletier, M. A.; Champneys, A. R.; Woods, P. D.; Ahmer Wadee, M.; Budd, C. J.; Lord, G. J.
2000
Geometric integration: Numerical solution of differential equations on manifolds. Zbl 0933.65142
Budd, C. J.; Iserles, A.
1999
New self-similar solutions of the nonlinear Schrödinger equation with moving mesh computations. Zbl 0942.65085
Budd, Chris J.; Chen, Shaohua; Russell, Robert D.
1999
Self-similar numerical solutions of the porous-medium equation using moving mesh methods. Zbl 0931.76079
Budd, C. J.; Collins, G. J.; Huang, W. Z.; Russell, R. D.
1999
On the solution of convection-diffusion boundary value problems using equidistributed grids. Zbl 0924.65080
Budd, C. J.; Koomullil, G. P.; Stuart, A. M.
1999
The finite element approximation of semilinear elliptic partial differential equations with critical exponents in the cube. Zbl 0924.35049
Budd, C. J.; Humphries, A. R.; Wathen, A. J.
1999
Self-similar fold evolution under prescribed end-shortening. Zbl 0970.86018
Budd, Chris J.; Hunt, Giles W.; Peletier, Mark A.
1999
Geometric integration: numerical solution of differential equations on manifolds. Zbl 0929.00019
Budd, C. J.; Iserles, A.
1999
Grazing, skipping and sliding: Analysis of the non-smooth dynamics of the DC/DC buck converter. Zbl 0904.34034
di Bernardo, Mario; Budd, Chris; Champneys, Alan
1998
An asymptotic and numerical description of self-similar blow-up in quasilinear parabolic equations. Zbl 0932.65099
Budd, C. J.; Collins, G. J.; Galaktionov, V. A.
1998
Stability and spectra of blow-up in problems with quasi-linear gradient diffusivity. Zbl 1023.35053
Budd, Chris; Galaktionov, Victor
1998
Symmetry based numerical methods for partial differential equations. Zbl 0902.65069
Budd, C. J.; Collins, G. J.
1998
Focusing blow-up for quasilinear parabolic equations. Zbl 0917.35061
Budd, C. J.; Galaktionov, V. A.; Chen, Jianping
1998
An invariant moving mesh scheme for the nonlinear diffusion equation. Zbl 0911.65081
Budd, C. J.; Collins, G. J.
1998
Weak finite-dimensional approximations of semi-linear elliptic PDEs with near-critical exponents. Zbl 1155.65389
Budd, C. J.; Humphries, A. R.
1998
Adaptive methods for semi-linear elliptic equations with critical exponents and interior singularities. Zbl 0895.65053
Budd, C. J.; Humphries, A. R.
1998
Finite element method solutions for semi-linear elliptic PDEs with critical Sobolev exponents on non-spherical 3D domains. Zbl 0963.35065
Humphries, A. R.; Budd, C. J.; Wathen, A. J.
1998
Self-similar blow-up for a quasilinear parabolic equation with gradient diffusion and exponential source. Zbl 1023.35516
Budd, Chris J.; Dold, James W.; Galaktionov, Victor A.
1997
Moving mesh methods for problems with blow-up. Zbl 0860.35050
Budd, Chris J.; Huang, Weizhang; Russell, Robert D.
1996
Non-smooth dynamical systems and the grazing bifurcation. Zbl 0870.70020
Budd, C. J.
1996
Moving mesh methods with applications to blow-up problems for PDEs. Zbl 0843.65065
Budd, C. J.; Chen, Jianping; Huang, W.; Russell, R. D.
1996
Critical diffusion exponents for self-similar blow-up solutions of a quasilinear parabolic equation with an exponential source. Zbl 0849.35047
Budd, Chris J.; Galaktionov, Victor A.
1996
Double impact orbits of periodically forced impact oscillators. Zbl 0885.70019
Budd, C. J.; Lee, A. G.
1996
The effect of frequency and clearance variations on single-degree-of-freedom impact oscillators. Zbl 0982.70517
Budd, C.; Dux, F.; Cliffe, A.
1995
Grazing in impact oscillators. Zbl 0840.34025
Budd, Chris
1995
The global dynamics of impact oscillators. Zbl 0829.34029
Budd, Chris
1995
Forced quasiperiodic oscillations of linear parametrically excited systems. (Chattering and related behaviour in impact oscillators.) Zbl 0816.70018
Budd, Chris; Dux, Felix
1994
Intermittency in impact oscillators close to resonance. Zbl 0807.34046
Budd, Chris; Dux, Felix
1994
Blow-up in a system of partial differential equations with conserved first integral. II: Problems with convection. Zbl 0928.35081
Budd, C. J.; Dold, J. W.; Stuart, A. M.
1994
Blow-up in a partial differential equation with conserved first integral. Zbl 0784.35009
Budd, Chris; Dold, Bill; Stuart, Andrew
1993
A model of the evolution of duopoly: Does the asymmetry between firms tend to increase or decrease? Zbl 0782.90027
Budd, Christopher; Harris, Christopher; Vickers, John
1993
Spatial patterns in population conflicts. Zbl 0773.92014
Vickers, G. T.; Hutson, V. C. L.; Budd, C. J.
1993
Asymptotics for semilinear elliptic equations with supercritical nonlinearities in annular domains. Zbl 0779.35014
Budd, C. J.; Peletier, L. A.
1993
Convergent and spurious solutions of nonlinear elliptic equations. Zbl 0758.65068
Murdoch, T.; Budd, C. J.
1992
Asymptotic behaviour of solutions of elliptic equations with critical exponents and Neumann boundary conditions. Zbl 0733.35038
Budd, C.; Knaap, M. C.; Peletier, L. A.
1991
Coronas and the space charge problem. Zbl 0729.35134
Budd, Chris
1991
The space charge problem. Zbl 0699.35229
Budd, Chris J.; Friedman, Avner; McLeod, Bryce; Wheeler, Adam A.
1990
The existence of bounded solutions of a semilinear elliptic equation. Zbl 0709.35039
Budd, C. J.; Qi, Yuan-Wei
1989
Applications of Shilnikov’s theory to semilinear elliptic equations. Zbl 0703.35064
Budd, C. J.
1989
Symmetry breaking and semilinear elliptic equations. Zbl 0676.65106
Budd, Chris
1989
Comparison theorems for radial solutions of semilinear elliptic equations. Zbl 0667.35021
Budd, C. J.
1988
A new approach to the space-charge problem. Zbl 0654.35074
Budd, C. J.; Wheeler, A. A.
1988
Exact solutions of the space charge equation using the hodograph method. Zbl 0659.65123
Budd, C. J.; Wheeler, A. A.
1988
Semilinear elliptic equations and supercritical growth. Zbl 0618.34039
Budd, C.; Norbury, J.
1987
Semilinear elliptic equations with near critical growth rates. Zbl 0662.35003
Budd, C.
1987
all top 5

#### Cited by 1,822 Authors

 39 Llibre, Jaume 35 Budd, Christopher John 27 Simpson, David John Warwick 24 Gardini, Laura 23 Weinmüller, Ewa B. 20 Galaktionov, Victor Aleksandrovich 20 Jeffrey, Mike R. 17 Avrutin, Viktor 17 Han, Maoan 16 Teixeira, Marco Antonio 15 Chen, Hebai 15 Tang, Sanyi 14 di Bernardo, Mario 14 Páez Chávez, Joseph Nikolai 14 Ponce, Enrique 13 de Carvalho, Tiago 13 Novaes, Douglas Duarte 13 Zhusubaliev, Zhanybaĭ Tursunbaevich 12 Du, Zhengdong 12 Huang, Weizhang 12 Piiroinen, Petri T. 12 Yang, Xiaosong 11 Banerjee, Soumitro 11 Kuske, Rachel A. 11 Xie, Jianhua 10 Huan, Songmei 10 Koch, Othmar 10 Russell, Robert D. 10 Tonon, Durval José 10 Torregrosa, Joan 10 Xiao, Yanni 10 Zhang, Xiang 9 Chen, Xingwu 9 Dankowicz, Harry J. 9 Hogan, S. John 9 Huang, Lihong 9 Liang, Feng 9 Luo, Albert C. J. 9 Mosekilde, Erik 9 Sushko, Iryna 9 Torres Peral, Francisco 9 Wen, Guilin 9 Yang, Jihua 8 Buzzi, Claudio Aguinaldo 8 Dieci, Luca 8 Glendinning, Paul Alexander 8 Qin, Wenjie 8 Rachůnková, Irena 8 Schanz, Michael 8 Tang, Yilei 8 Xiong, Yanqin 8 Zhou, Jun 7 Kowalczyk, Piotr 7 Li, Shimin 7 Xu, Wei 6 Angulo, Fabiola 6 Cheng, Sui Sun 6 Fečkan, Michal 6 Gavish, Nir 6 Groisman, Pablo 6 Hosham, Hany A. 6 Hunt, Giles W. 6 Knobloch, Edgar 6 Kryzhevich, Sergeĭ Gennad’evich 6 Luo, Guanwei 6 Ma, Jingtang 6 Matsuo, Takayasu 6 McLachlan, Robert I. 6 Mizoguchi, Noriko 6 Olivar, Gerard 6 Rossi, Julio Daniel 6 Rottschäfer, Vivi 6 Staněk, Svatoslav 6 Tang, Guangyao 6 Wadee, M. Ahmer 6 Yin, Shan 6 Zhang, Weinian 5 Aihara, Kazuyuki 5 Akhmet, Marat Ubaydulla 5 Champneys, Alan R. 5 El Aroudi, Abdelali 5 Euzébio, Rodrigo D. 5 Fibich, Gadi 5 Freire Macías, Emilio 5 Gonçalves, Luiz Fernando 5 Guglielmi, Nicola 5 Haynes, Ronald D. 5 Hubbard, Matthew E. 5 Iserles, Arieh 5 Kousaka, Takuji 5 Kozlov, Roman 5 Li, Denghui 5 Li, Shuangbao 5 Li, Tao 5 Liang, Kewei 5 Lindsay, Alan E. 5 Makrooni, Roya 5 Merle, Frank 5 Miyamoto, Yasuhito 5 Nordmark, Arne B. ...and 1,722 more Authors
all top 5

#### Cited in 240 Serials

 140 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 72 Physica D 64 Journal of Computational Physics 60 Nonlinear Dynamics 47 Journal of Differential Equations 46 Journal of Computational and Applied Mathematics 43 Journal of Mathematical Analysis and Applications 40 Chaos 37 Chaos, Solitons and Fractals 33 Communications in Nonlinear Science and Numerical Simulation 31 SIAM Journal on Applied Dynamical Systems 30 Applied Mathematics and Computation 30 Nonlinear Analysis. Real World Applications 23 Applied Numerical Mathematics 22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 19 Mathematics and Computers in Simulation 18 Discrete and Continuous Dynamical Systems. Series B 15 Computers & Mathematics with Applications 14 European Journal of Applied Mathematics 14 Nonlinear Analysis. Hybrid Systems 13 Qualitative Theory of Dynamical Systems 12 Journal of Dynamics and Differential Equations 12 Journal of Nonlinear Science 11 ZAMP. Zeitschrift für angewandte Mathematik und Physik 11 SIAM Journal on Scientific Computing 10 Physics Letters. A 10 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 10 Mathematical Problems in Engineering 9 Discrete and Continuous Dynamical Systems 8 Journal of Engineering Mathematics 8 Journal of the Mechanics and Physics of Solids 8 Nonlinearity 8 Journal of Economic Dynamics & Control 8 Applied Mathematics Letters 8 Journal of Scientific Computing 8 Journal of Difference Equations and Applications 8 Discrete Dynamics in Nature and Society 8 Boundary Value Problems 8 Journal of Theoretical Biology 7 Computers and Fluids 7 Mathematical Biosciences 7 Applied Mathematical Modelling 6 Automatica 6 BIT 6 Journal of Economic Theory 6 Journal of Functional Analysis 6 Numerical Algorithms 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 SIAM Review 6 Advances in Difference Equations 6 Nonlinear Analysis. Theory, Methods & Applications 6 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 5 Journal of Mathematical Biology 5 Mathematical Methods in the Applied Sciences 5 Mathematics of Computation 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Games and Economic Behavior 5 Bulletin des Sciences Mathématiques 5 Abstract and Applied Analysis 5 Advanced Nonlinear Studies 5 Acta Mechanica Sinica 4 Computer Methods in Applied Mechanics and Engineering 4 Journal of Mathematical Physics 4 Bulletin of Mathematical Biology 4 Numerische Mathematik 4 Studies in Applied Mathematics 4 Transactions of the American Mathematical Society 4 Systems & Control Letters 4 Applied Mathematics and Mechanics. (English Edition) 4 Mathematical and Computer Modelling 4 Japan Journal of Industrial and Applied Mathematics 4 International Journal of Computer Mathematics 4 Complexity 4 Engineering Analysis with Boundary Elements 4 Differential Equations and Dynamical Systems 4 Multibody System Dynamics 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Regular and Chaotic Dynamics 4 Differential Equations 4 Dynamical Systems 4 Communications on Pure and Applied Analysis 4 AMM. Applied Mathematics and Mechanics. (English Edition) 3 Archive for Rational Mechanics and Analysis 3 Journal of the Franklin Institute 3 Prikladnaya Matematika i Mekhanika 3 Calcolo 3 Meccanica 3 Numerical Methods for Partial Differential Equations 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Communications in Partial Differential Equations 3 SIAM Journal on Applied Mathematics 3 Journal of Computational Neuroscience 3 European Journal of Mechanics. A. Solids 3 Computational Geosciences 3 Journal of Dynamical and Control Systems 3 Journal of Nonlinear Mathematical Physics 3 Foundations of Computational Mathematics 3 Journal of Biological Dynamics 3 SIAM Journal on Imaging Sciences 3 Mathematical Geosciences ...and 140 more Serials
all top 5

#### Cited in 42 Fields

 542 Ordinary differential equations (34-XX) 396 Dynamical systems and ergodic theory (37-XX) 374 Partial differential equations (35-XX) 314 Numerical analysis (65-XX) 156 Mechanics of particles and systems (70-XX) 131 Biology and other natural sciences (92-XX) 82 Systems theory; control (93-XX) 79 Fluid mechanics (76-XX) 75 Mechanics of deformable solids (74-XX) 53 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 30 Information and communication theory, circuits (94-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 22 Difference and functional equations (39-XX) 22 Geophysics (86-XX) 18 Optics, electromagnetic theory (78-XX) 17 Operator theory (47-XX) 13 Global analysis, analysis on manifolds (58-XX) 11 Probability theory and stochastic processes (60-XX) 10 Statistical mechanics, structure of matter (82-XX) 10 Operations research, mathematical programming (90-XX) 9 Classical thermodynamics, heat transfer (80-XX) 7 General and overarching topics; collections (00-XX) 7 Functional analysis (46-XX) 6 Computer science (68-XX) 5 Real functions (26-XX) 5 Quantum theory (81-XX) 4 Topological groups, Lie groups (22-XX) 4 Approximations and expansions (41-XX) 4 Differential geometry (53-XX) 3 Combinatorics (05-XX) 3 Measure and integration (28-XX) 3 Integral equations (45-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Special functions (33-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX)

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