Chris J. Budd

Orcid: 0000-0003-4536-1662

Affiliations:
  • University of Bath, UK


According to our database1, Chris J. Budd authored at least 33 papers between 1993 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
G-Adaptive mesh refinement - leveraging graph neural networks and differentiable finite element solvers.
CoRR, 2024

Equidistribution-based training of Free Knot Splines and ReLU Neural Networks.
CoRR, 2024

2023
Closing the ODE-SDE gap in score-based diffusion models through the Fokker-Planck equation.
CoRR, 2023

Climate, Chaos and COVID - How Mathematical Models Describe the Universe
WorldScientific, ISBN: 9781800613065, 2023

2019
The moving mesh semi-Lagrangian MMSISL method.
J. Comput. Phys., 2019

2018
Optimal-Transport-Based Mesh Adaptivity on the Plane and Sphere Using Finite Elements.
SIAM J. Sci. Comput., 2018

The scaling and skewness of optimally transported meshes on the sphere.
J. Comput. Phys., 2018

2017
The geometry of optimally transported meshes on the sphere.
CoRR, 2017

2016
Mesh adaptation on the sphere using optimal transport and the numerical solution of a Monge-Ampère type equation.
J. Comput. Phys., 2016

2015
The geometry of r-adaptive meshes generated using optimal transport methods.
J. Comput. Phys., 2015

The effect of numerical model error on data assimilation.
J. Comput. Appl. Math., 2015

2014
Fast three dimensional r-adaptive mesh redistribution.
J. Comput. Phys., 2014

Asymptotical computations for a model of flow in saturated porous media.
Appl. Math. Comput., 2014

2013
Monge-Ampére based moving mesh methods for numerical weather prediction, with applications to the Eady problem.
J. Comput. Phys., 2013

2012
Self-Similar Voiding Solutions of a Single Layered Model of Folding Rocks.
SIAM J. Appl. Math., 2012

2011
Breathers in a Pinned Mechanical Lattice.
SIAM J. Appl. Dyn. Syst., 2011

2010
The Dynamics of Regularized Discontinuous Maps with Applications to Impacting Systems.
SIAM J. Appl. Dyn. Syst., 2010

2009
Moving Mesh Generation Using the Parabolic Monge--Amp[e-grave]re Equation.
SIAM J. Sci. Comput., 2009

2008
Bifurcations in Nonsmooth Dynamical Systems.
SIAM Rev., 2008

2006
Computation of Self-similar Solution Profiles for the Nonlinear Schrödinger Equation.
Computing, 2006

2005
Adaptive Geometric Integrators for Hamiltonian Problems with Approximate Scale Invariance.
SIAM J. Sci. Comput., 2005

Bifurcations of Periodic Solutions Satisfying the Zero-Hamiltonian Constraint in Reversible Differential Equations.
SIAM J. Math. Anal., 2005

Multibump, Blow-Up, Self-Similar Solutions of the Complex Ginzburg-Landau Equation.
SIAM J. Appl. Dyn. Syst., 2005

2004
Self-Similar Blow-Up in Higher-Order Semilinear Parabolic Equations.
SIAM J. Appl. Math., 2004

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

2001
Mesh Selection for a Nearly Singular Boundary Value Problem.
J. Sci. Comput., 2001

2000
Approximate Self-Similarity in Models of Geological Folding.
SIAM J. Appl. Math., 2000

1999
The Finite Element Approximation of Semilinear Elliptic Partial Differential Equations with Critical Exponents in the Cube.
SIAM J. Sci. Comput., 1999

Sliding orbits and double spiral bifurcation diagrams in power electronic DC/DC converters.
Proceedings of the 1999 International Symposium on Circuits and Systems, ISCAS 1999, Orlando, Florida, USA, May 30, 1999

1998
On the Solution of Convection-Diffusion Boundary Value Problems Using Equidistributed Grids.
SIAM J. Sci. Comput., 1998

1996
Moving Mesh Methods for Problems with Blow-Up.
SIAM J. Sci. Comput., 1996

1994
Blow-up in a System of Partial Differential Equations with Conserved First Integral. Part II: Problems with Convection.
SIAM J. Appl. Math., 1994

1993
Blowup in a Partial Differential Equation with Conserved First Integral.
SIAM J. Appl. Math., 1993


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