Blowup in a Partial Differential Equation with Conserved First Integral. - Chris J. Budd; J. William Dold; Andrew M. Stuart (SIAM J. Appl. Math., 1993)

Blow-up in a System of Partial Differential Equations with Conserved First Integral. Part II: Problems with Convection. - Chris J. Budd; J. William Dold; Andrew M. Stuart (SIAM J. Appl. Math., 1994)

Moving Mesh Methods for Problems with Blow-Up. - Chris J. Budd; Weizhang Huang; Robert D. Russell (SIAM J. Sci. Comput., 1996)

On the Solution of Convection-Diffusion Boundary Value Problems Using Equidistributed Grids. - Chris J. Budd; George P. Koomullil; Andrew M. Stuart (SIAM J. Sci. Comput., 1998)

Sliding orbits and double spiral bifurcation diagrams in power electronic DC/DC converters. - Mario di Bernardo; Alan R. Champneys; Chris J. Budd; Francesco Vasca (ISCAS (5), 1999)

The Finite Element Approximation of Semilinear Elliptic Partial Differential Equations with Critical Exponents in the Cube. - Chris J. Budd; A. R. Humphries; Andrew J. Wathen (SIAM J. Sci. Comput., 1999)

Approximate Self-Similarity in Models of Geological Folding. - Chris J. Budd; Mark A. Peletier (SIAM J. Appl. Math., 2000)

Mesh Selection for a Nearly Singular Boundary Value Problem. - Chris J. Budd; Huaxiong Huang; Robert D. Russell (J. Sci. Comput., 2001)

Asymptotics of Multibump Blow-up Self-Similar Solutions of the Nonlinear Schrödinger Equation. - C. J. Budd (SIAM J. Appl. Math., 2002)

Self-Similar Blow-Up in Higher-Order Semilinear Parabolic Equations. - C. J. Budd; J. F. Williams; Vladimir A. Galaktionov (SIAM J. Appl. Math., 2004)

Multibump, Blow-Up, Self-Similar Solutions of the Complex Ginzburg-Landau Equation. - Chris J. Budd; Vivi Rottschäfer; J. F. Williams (SIAM J. Appl. Dyn. Syst., 2005)

Bifurcations of Periodic Solutions Satisfying the Zero-Hamiltonian Constraint in Reversible Differential Equations. - R. E. Beardmore; Mark A. Peletier; C. J. Budd; M. Ahmer Wadee (SIAM J. Math. Anal., 2005)

Adaptive Geometric Integrators for Hamiltonian Problems with Approximate Scale Invariance. - Sergio Blanes; Chris J. Budd (SIAM J. Sci. Comput., 2005)

Computation of Self-similar Solution Profiles for the Nonlinear Schrödinger Equation. - C. J. Budd; Othmar Koch; Ewa Weinmüller (Computing, 2006)

Bifurcations in Nonsmooth Dynamical Systems. - Mario di Bernardo; Chris J. Budd; Alan R. Champneys; Piotr Kowalczyk; Arne B. Nordmark; Gerard Olivar Tost; Petri T. Piiroinen (SIAM Rev., 2008)

Moving Mesh Generation Using the Parabolic Monge–Amp[e-grave]re Equation. - C. J. Budd; J. F. Williams (SIAM J. Sci. Comput., 2009)

The Dynamics of Regularized Discontinuous Maps with Applications to Impacting Systems. - S. R. Pring; C. J. Budd (SIAM J. Appl. Dyn. Syst., 2010)

Breathers in a Pinned Mechanical Lattice. - S. C. Green; C. J. Budd; Giles W. Hunt (SIAM J. Appl. Dyn. Syst., 2011)

Self-Similar Voiding Solutions of a Single Layered Model of Folding Rocks. - Tim J. Dodwell; Mark A. Peletier; C. J. Budd; Giles W. Hunt (SIAM J. Appl. Math., 2012)

Monge-Ampére based moving mesh methods for numerical weather prediction, with applications to the Eady problem. - Chris J. Budd; Mike J. P. Cullen; E. J. Walsh (J. Comput. Phys., 2013)

Asymptotical computations for a model of flow in saturated porous media. - Pierluigi Amodio; C. J. Budd; Othmar Koch; Giuseppina Settanni; Ewa Weinmüller (Appl. Math. Comput., 2014)

Fast three dimensional r-adaptive mesh redistribution. - Philip A. Browne; Chris J. Budd; Chiara Piccolo; Mike J. P. Cullen (J. Comput. Phys., 2014)

The effect of numerical model error on data assimilation. - S. E. Jenkins; C. J. Budd; Melina A. Freitag; N. D. Smith (J. Comput. Appl. Math., 2015)

The geometry of r-adaptive meshes generated using optimal transport methods. - C. J. Budd; Robert D. Russell; E. J. Walsh (J. Comput. Phys., 2015)

Mesh adaptation on the sphere using optimal transport and the numerical solution of a Monge-Ampère type equation. - Hilary Weller; Philip A. Browne; Chris J. Budd; Mike J. P. Cullen (J. Comput. Phys., 2016)

The geometry of optimally transported meshes on the sphere. - Chris J. Budd; Andrew T. T. McRae; Colin J. Cotter (CoRR, 2017)

The scaling and skewness of optimally transported meshes on the sphere. - Chris J. Budd; Andrew T. T. McRae; Colin J. Cotter (J. Comput. Phys., 2018)

Optimal-Transport-Based Mesh Adaptivity on the Plane and Sphere Using Finite Elements. - Andrew T. T. McRae; Colin J. Cotter; Chris J. Budd (SIAM J. Sci. Comput., 2018)

The moving mesh semi-Lagrangian MMSISL method. - Stephen Philip Cook; C. J. Budd; Thomas Melvin (J. Comput. Phys., 2019)

Climate, Chaos and COVID - How Mathematical Models Describe the Universe - Chris J. Budd (Climate, Chaos and COVID, 2023)

Closing the ODE-SDE gap in score-based diffusion models through the Fokker-Planck equation. - Teo Deveney; Jan Stanczuk; Lisa Maria Kreusser; Chris J. Budd; Carola-Bibiane Schönlieb (CoRR, 2023)

Equidistribution-based training of Free Knot Splines and ReLU Neural Networks. - Simone Appella; Simon R. Arridge; Chris J. Budd; Teo Deveney; Lisa Maria Kreusser (CoRR, 2024)

G-Adaptive mesh refinement - leveraging graph neural networks and differentiable finite element solvers. - James Rowbottom; Georg Maierhofer; Teo Deveney; Katharina Schratz; Pietro Liò; Carola-Bibiane Schönlieb; Chris J. Budd (CoRR, 2024)

Computationally efficient r-adaptive graded meshes over non-convex domains. - Simone Appella; Chris J. Budd; Tristan Pryer (Comput. Math. Appl., 2025)

Inverse Evolution Data Augmentation for Neural PDE Solvers. - Chaoyu Liu; Chris J. Budd; Carola-Bibiane Schönlieb (CoRR, 2025)

Enhancing Fourier Neural Operators with Local Spatial Features. - Chaoyu Liu; Davide Murari; Chris J. Budd; Lihao Liu; Carola-Bibiane Schönlieb (CoRR, 2025)

Conservation-preserved Fourier Neural Operator through Adaptive Correction. - Chaoyu Liu; Yangming Li; Zhongying Deng; Chris J. Budd; Carola-Bibiane Schönlieb (CoRR, 2025)