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ORCIDChris J. Budd
Person information
- affiliation: University of Bath, UK
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2020 – today
- 2024
[i4]Simone Appella, Simon R. Arridge, Chris J. Budd, Teo Deveney, Lisa Maria Kreusser:
Equidistribution-based training of Free Knot Splines and ReLU Neural Networks. CoRR abs/2407.02153 (2024)- [i3]James Rowbottom, Georg Maierhofer, Teo Deveney, Katharina Schratz, Pietro Liò, Carola-Bibiane Schönlieb, Chris J. Budd:
G-Adaptive mesh refinement - leveraging graph neural networks and differentiable finite element solvers. CoRR abs/2407.04516 (2024) - 2023
- [b1]Chris J. Budd
:
Climate, Chaos and COVID - How Mathematical Models Describe the Universe. WorldScientific 2023, ISBN 9781800613041, pp. 1-312 - [i2]Teo Deveney, Jan Stanczuk, Lisa Maria Kreusser, Chris J. Budd, Carola-Bibiane Schönlieb:
Closing the ODE-SDE gap in score-based diffusion models through the Fokker-Planck equation. CoRR abs/2311.15996 (2023)
2010 – 2019
- 2019
- [j27]Stephen Philip Cook, C. J. Budd, Thomas Melvin:
The moving mesh semi-Lagrangian MMSISL method. J. Comput. Phys. 393: 484-502 (2019) - 2018
- [j26]Chris J. Budd, Andrew T. T. McRae, Colin J. Cotter:
The scaling and skewness of optimally transported meshes on the sphere. J. Comput. Phys. 375: 540-564 (2018) - [j25]Andrew T. T. McRae, Colin J. Cotter, Chris J. Budd:
Optimal-Transport-Based Mesh Adaptivity on the Plane and Sphere Using Finite Elements. SIAM J. Sci. Comput. 40(2) (2018) - 2017
- [i1]Chris J. Budd, Andrew T. T. McRae, Colin J. Cotter:
The geometry of optimally transported meshes on the sphere. CoRR abs/1711.00260 (2017) - 2016
- [j24]Hilary Weller, Philip A. Browne, Chris J. Budd, Mike J. P. Cullen:
Mesh adaptation on the sphere using optimal transport and the numerical solution of a Monge-Ampère type equation. J. Comput. Phys. 308: 102-123 (2016) - 2015
- [j23]S. E. Jenkins, C. J. Budd, Melina A. Freitag, N. D. Smith:
The effect of numerical model error on data assimilation. J. Comput. Appl. Math. 290: 567-588 (2015) - [j22]C. J. Budd, Robert D. Russell, E. J. Walsh:
The geometry of r-adaptive meshes generated using optimal transport methods. J. Comput. Phys. 282: 113-137 (2015) - 2014
- [j21]Pierluigi Amodio, C. J. Budd, Othmar Koch, Giuseppina Settanni, Ewa Weinmüller:
Asymptotical computations for a model of flow in saturated porous media. Appl. Math. Comput. 237: 155-167 (2014) - [j20]Philip A. Browne, Chris J. Budd, Chiara Piccolo, Mike J. P. Cullen:
Fast three dimensional r-adaptive mesh redistribution. J. Comput. Phys. 275: 174-196 (2014) - 2013
- [j19]Chris J. Budd, Mike J. P. Cullen, E. J. Walsh:
Monge-Ampére based moving mesh methods for numerical weather prediction, with applications to the Eady problem. J. Comput. Phys. 236: 247-270 (2013) - 2012
- [j18]Tim J. Dodwell, Mark A. Peletier, C. J. Budd, Giles W. Hunt:
Self-Similar Voiding Solutions of a Single Layered Model of Folding Rocks. SIAM J. Appl. Math. 72(1): 444-463 (2012) - 2011
- [j17]S. C. Green, C. J. Budd, Giles W. Hunt:
Breathers in a Pinned Mechanical Lattice. SIAM J. Appl. Dyn. Syst. 10(1): 66-91 (2011) - 2010
- [j16]S. R. Pring, C. J. Budd:
The Dynamics of Regularized Discontinuous Maps with Applications to Impacting Systems. SIAM J. Appl. Dyn. Syst. 9(1): 188-219 (2010)
2000 – 2009
- 2009
- [j15]C. J. Budd, J. F. Williams:
Moving Mesh Generation Using the Parabolic Monge--Amp[e-grave]re Equation. SIAM J. Sci. Comput. 31(5): 3438-3465 (2009) - 2008
- [j14]Mario di Bernardo, Chris J. Budd, Alan R. Champneys, Piotr Kowalczyk, Arne B. Nordmark, Gerard Olivar Tost, Petri T. Piiroinen:
Bifurcations in Nonsmooth Dynamical Systems. SIAM Rev. 50(4): 629-701 (2008) - 2006
- [j13]C. J. Budd, Othmar Koch, Ewa Weinmüller:
Computation of Self-similar Solution Profiles for the Nonlinear Schrödinger Equation. Computing 77(4): 335-346 (2006) - 2005
- [j12]Chris J. Budd, Vivi Rottschäfer, J. F. Williams:
Multibump, Blow-Up, Self-Similar Solutions of the Complex Ginzburg-Landau Equation. SIAM J. Appl. Dyn. Syst. 4(3): 649-678 (2005) - [j11]R. E. Beardmore, Mark A. Peletier, C. J. Budd, M. Ahmer Wadee:
Bifurcations of Periodic Solutions Satisfying the Zero-Hamiltonian Constraint in Reversible Differential Equations. SIAM J. Math. Anal. 36(5): 1461-1488 (2005) - [j10]Sergio Blanes, Chris J. Budd:
Adaptive Geometric Integrators for Hamiltonian Problems with Approximate Scale Invariance. SIAM J. Sci. Comput. 26(4): 1089-1113 (2005) - 2004
- [j9]C. J. Budd, J. F. Williams, Vladimir A. Galaktionov:
Self-Similar Blow-Up in Higher-Order Semilinear Parabolic Equations. SIAM J. Appl. Math. 64(5): 1775-1809 (2004) - 2002
- [j8]C. J. Budd:
Asymptotics of Multibump Blow-up Self-Similar Solutions of the Nonlinear Schrödinger Equation. SIAM J. Appl. Math. 62(3): 801-830 (2002) - 2001
- [j7]Chris J. Budd, Huaxiong Huang, Robert D. Russell:
Mesh Selection for a Nearly Singular Boundary Value Problem. J. Sci. Comput. 16(4): 525-552 (2001) - 2000
- [j6]Chris J. Budd, Mark A. Peletier:
Approximate Self-Similarity in Models of Geological Folding. SIAM J. Appl. Math. 60(3): 990-1016 (2000)
1990 – 1999
- 1999
- [j5]Chris J. Budd, A. R. Humphries, Andrew J. Wathen:
The Finite Element Approximation of Semilinear Elliptic Partial Differential Equations with Critical Exponents in the Cube. SIAM J. Sci. Comput. 20(5): 1875-1904 (1999) - [c1]Mario di Bernardo, Alan R. Champneys, Chris J. Budd, Francesco Vasca:
Sliding orbits and double spiral bifurcation diagrams in power electronic DC/DC converters. ISCAS (5) 1999: 262-265 - 1998
- [j4]Chris J. Budd, George P. Koomullil, Andrew M. Stuart:
On the Solution of Convection-Diffusion Boundary Value Problems Using Equidistributed Grids. SIAM J. Sci. Comput. 20(2): 591-618 (1998) - 1996
- [j3]Chris J. Budd, Weizhang Huang, Robert D. Russell:
Moving Mesh Methods for Problems with Blow-Up. SIAM J. Sci. Comput. 17(2): 305-327 (1996) - 1994
- [j2]Chris J. Budd, J. William Dold, Andrew M. Stuart:
Blow-up in a System of Partial Differential Equations with Conserved First Integral. Part II: Problems with Convection. SIAM J. Appl. Math. 54(3): 610-640 (1994) - 1993
- [j1]Chris J. Budd, J. William Dold, Andrew M. Stuart:
Blowup in a Partial Differential Equation with Conserved First Integral. SIAM J. Appl. Math. 53(3): 718-742 (1993)
Coauthor Index
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