Christopher Budd
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British mathematician
Christopher Budd 's AcademicInfluence.com Rankings
Christopher Budd mathematics Degrees
Mathematics
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#3826
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Group Theory
#195
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#231
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Number Theory
#314
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#392
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Algebra
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#648
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Mathematics
Christopher Budd 's Degrees
- Masters Mathematics University of Oxford
Why Is Christopher Budd Influential?
(Suggest an Edit or Addition)According to Wikipedia, Christopher John Budd is a British mathematician known especially for his contribution to non-linear differential equations and their applications in industry. He is currently Professor of Applied Mathematics at the University of Bath, and was Professor of Geometry at Gresham College from 2016 to 2020.
Christopher Budd 's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Piecewise-smooth Dynamical Systems: Theory and Applications (2007) (1123)
- Bifurcations in Nonsmooth Dynamical Systems (2008) (363)
- Adaptivity with moving grids (2009) (267)
- Cellular Buckling in Long Structures (2000) (228)
- Moving Mesh Methods for Problems with Blow-Up (1996) (217)
- Normal form maps for grazing bifurcations in n -dimensional piecewise-smooth dynamical systems (2001) (213)
- A Model of the Evolution of Duopoly: Does the Asymmetry between Firms Tend to Increase or Decrease? (1993) (213)
- Chattering and related behaviour in impact oscillators (1994) (197)
- Grazing and border-collision in piecewise-smooth systems: a unified analytical framework. (2001) (172)
- Grazing, skipping and sliding: Analysis of the non-smooth dynamics of the DC/DC buck converter (1998) (148)
- Geometric integration: numerical solution of differential equations on manifolds (1999) (141)
- The effect of frequency and clearance variations on single-degree-of-freedom impact oscillators (1995) (127)
- Geometric integration and its applications (2003) (121)
- Corner collision implies border-collision bifurcation (2001) (99)
- Semilinear elliptic equations and supercritical growth (1987) (83)
- Blowup in a Partial Differential Equation with Conserved First Integral (1993) (72)
- Self-Similar Blow-Up in Higher-Order Semilinear Parabolic Equations (2004) (69)
- Intermittency in impact oscillators close to resonance (1994) (68)
- New Self-Similar Solutions of the Nonlinear Schrödinger Equation with Moving Mesh Computations (1999) (66)
- Corner bifurcations in non-smoothly forced impact oscillators (2006) (66)
- Qualitative theory of non-smooth dynamical systems (2008) (63)
- Precise computations of chemotactic collapse using moving mesh methods (2005) (61)
- Symmetry-adapted moving mesh schemes for the nonlinear Schrodinger equation (2001) (57)
- An evaluative study on ESO and SIMP for optimising a cantilever tie—beam (2007) (52)
- The existence of bounded solutions of a semilinear elliptic equation (1989) (50)
- Monge-Ampére based moving mesh methods for numerical weather prediction, with applications to the Eady problem (2013) (50)
- MOVING MESH GENERATION USING THE PARABOLIC MONGE–AMPÈRE EQUATION∗ (2008) (50)
- Asymptotics of cellular buckling close to the Maxwell load (2001) (48)
- Parabolic Monge-Ampère methods for blow-up problems in several spatial dimensions (2006) (46)
- Self–similar numerical solutions of the porous–medium equation using moving mesh methods (1999) (43)
- The geometric integration of scale-invariant ordinary and partial differential equations (2001) (41)
- Asymptotic behaviour of solutions of elliptic equations with critical exponents and Neumann boundary conditions (1991) (38)
- Scaling invariance and adaptivity (2001) (37)
- Stability and spectra of blow–up in problems with quasi–linear gradient diffusivity (1998) (34)
- Mesh adaptation on the sphere using optimal transport and the numerical solution of a Monge-Ampère type equation (2015) (33)
- From nonlinear PDEs to singular ODEs (2006) (33)
- A comparison of models and methods for simulating the microwave heating of moist foodstuffs (2011) (32)
- Unified Framework for the analysis of grazing and border-collisions in piecewise-smooth systems (2001) (32)
- Computation of Self-similar Solution Profiles for the Nonlinear Schrödinger Equation (2006) (32)
- Moving Mesh Generation Using the Parabolic Monge--Amp[e-grave]re Equation (2009) (31)
- Localized periodic patterns for the non-symmetric generalized Swift-Hohenberg equation (2005) (30)
- Non-Smooth Dynamical Systems and the Grazing Bifurcation (1996) (30)
- Blow-up in a System of Partial Differential Equations with Conserved First Integral. Part II: Problems with Convection (1994) (28)
- Fast three dimensional r-adaptive mesh redistribution (2014) (28)
- A fast method for binary programming using first‐order derivatives, with application to topology optimization with buckling constraints (2012) (28)
- Resolution of sharp fronts in the presence of model error in variational data assimilation (2013) (27)
- An asymptotic and numerical description of self-similar blow-up in quasilinear parabolic equations (1998) (27)
- Bifurcations in piecewise-smooth dynamical systems: Theory and Applications (2007) (26)
- An invariant moving mesh scheme for the nonlinear diffusion equation (1998) (26)
- Asymptotics of Multibump Blow-up Self-Similar Solutions of the Nonlinear Schrödinger Equation (2002) (26)
- Coronas and the space charge problem (1991) (24)
- Adaptive Geometric Integrators for Hamiltonian Problems with Approximate Scale Invariance (2005) (24)
- The robustness of the emergent scaling property of random RC network models of complex materials (2009) (23)
- How to adaptively resolve evolutionary singularities in differential equations with symmetry (2010) (23)
- Explicit Adaptive Symplectic (Easy) Integrators: A Scaling Invariant Generalisation of the Levi-Civitaand KS Regularisations (2004) (23)
- Regularization Techniques for Ill-posed Inverse Problems in Data Assimilation (2011) (22)
- A nonlinear model for parallel folding with friction (2003) (22)
- Bogdanov-Takens bifurcation points and Sil'nikov homoclinicity in a simple power-system model of voltage collapse (2002) (22)
- The Dynamics of Regularized Discontinuous Maps with Applications to Impacting Systems (2010) (22)
- Focusing blow-up for quasilinear parabolic equations (1998) (21)
- Self-Similar Fold Evolution Under Prescribed End-Shortening (1999) (20)
- Approximate Self-Similarity in Models of Geological Folding (2000) (20)
- Grazing in Impact Oscillators (1995) (20)
- Self-Similar Blow-Up in Nonlinear PDEs (2004) (19)
- Analytical and Experimental Investigation of an Impact Oscillator (1997) (19)
- Multi-layered folding with voids (2011) (18)
- Level set methods for the displacement of layered materials (2007) (18)
- Moving Mesh Methods with Applications to Blow-up Problems for PDEs (1995) (17)
- Self-Similar Voiding Solutions of a Single Layered Model of Folding Rocks (2011) (17)
- Symmetry Based Numerical Methods for Partial Differential Equations (1997) (17)
- Double impact orbits of periodically forced impact oscillators (1996) (17)
- The geometry of r-adaptive meshes generated using optimal transport methods (2014) (17)
- Multibump, Blow-Up, Self-Similar Solutions of the Complex Ginzburg-Landau Equation (2005) (16)
- The space change problem (1990) (16)
- Spatial patterns in population conflicts (1993) (15)
- Geometry and mechanics of layered structures and materials (2012) (15)
- Corner collision implies Border Collision (2001) (15)
- The origin of power-law emergent scaling in large binary networks (2012) (15)
- Optimal-Transport-Based Mesh Adaptivity on the Plane and Sphere Using Finite Elements (2016) (14)
- The dynamics of a simplified pinball machine (2011) (14)
- On the Solution of Convection-Diffusion Boundary Value Problems Using Equidistributed Grids (1998) (14)
- Understanding the anomalous frequency responses of composite materials using very large random resistor-capacitor networks (2017) (13)
- Crack detection in dielectric objects using electrical capacitance tomography (2010) (13)
- Serial parallel folding with friction: a primitive model using cubic B-splines (2006) (12)
- L1‐regularisation for ill‐posed problems in variational data assimilation (2010) (12)
- Smooth Boundary Based Optimisation Using Fixed Grid (2007) (12)
- Bifurcations of Periodic Solutions Satisfying the Zero-Hamiltonian Constraint in Reversible Differential Equations (2005) (12)
- SARS-CoV-2 infection in UK university students: lessons from September–December 2020 and modelling insights for future student return (2021) (12)
- Applications of Shilnikov's theory to semilinear elliptic equations (1989) (11)
- Exact Solutions of the Space Charge Equation Using the Hodograph Method (1988) (11)
- Asymptotical computations for a model of flow in saturated porous media (2014) (11)
- Weak finite‐dimensional approximations of semi‐linear elliptic PDEs with near‐critical exponents (1998) (11)
- Non-smooth Hopf-type bifurcations arising from impact–friction contact events in rotating machinery (2014) (11)
- The Space Weather Atmosphere Models and Indices (SWAMI) project: Overview and first results (2020) (11)
- Assessment of florfenicol as a possible treatment for chlamydiosis in koalas (Phascolarctos cinereus) (2017) (10)
- Introduction to special issue on reflections in nonlinear mechanics (2011) (8)
- The Global Dynamics of Impact Oscillators (1995) (7)
- Emergent behaviour in large electrical networks (2011) (7)
- Adaptive methods for semi-linear elliptic equations with critical exponents and interior singularities (1998) (7)
- Value of immunoglobulin E (IgE) in the private practice of allergy. Eight years experience: 1973-1981. (1983) (7)
- The scaling and skewness of optimally transported meshes on the sphere (2017) (7)
- An analysis of the periodically forced PP04 climate model, using the theory of non-smooth dynamical systems (2020) (6)
- Stable extension of the unified model into the mesosphere and lower thermosphere (2020) (6)
- A numerical scheme for the solution of the space charge problem on a multiply connected region (1991) (6)
- The Finite Element Approximation of Semilinear Elliptic Partial Differential Equations with Critical Exponents in the Cube (1999) (6)
- The moving mesh semi-Lagrangian MMSISL method (2019) (4)
- Arc Phenomena in low-voltage current limiting circuit breakers (2010) (4)
- Global blow-up for a semilinear heat equation on a subspace (2015) (4)
- Sliding orbits and double spiral bifurcation diagrams in power electronic DC/DC converters (1999) (4)
- Self-similar blow-up for a quasilinear parabolic equation with gradient diffusion and exponential source (1997) (4)
- Cellular buckling in long structures. The theme of solitary waves and localization phenomena in elastic structures (2000) (3)
- Dynamic tipping in the non-smooth Stommel-box model, with fast oscillatory forcing (2021) (3)
- Critical diffusion exponents for self-similar blow-up solutions of a quasilinear parabolic equation with an exponential source (1996) (3)
- A comparison of injection laws for the space charge equations in gases and dielectrics (1993) (3)
- Near critical, self-similar, blow-up solutions of the generalised Korteweg–de Vries equation: Asymptotics and computations (2020) (3)
- Modelling the view factor of a ‘grain-like’ observer near a tilted pool fire via planar approximation approach (2019) (3)
- Assessment of DG security contribution on transmission levels (2014) (3)
- Promoting Maths to the General Public (2015) (3)
- Numerical and analytical estimates of existence regions for semi-linear elliptic equations with critical Sobolev exponents in cuboid and cylindrical domains (2003) (3)
- Investigation on the Validity of Topology Optimisation Methods (2006) (2)
- Effective Water Storage as Flood Protection The Rijnstrangen Study Case (2013) (2)
- ASYMPTOTIC BEHAVIOUR OF WETTING FRONTS IN POROUS MEDIA WITH EXPONENTIAL MOISTURE DIFFUSIVITY (2008) (2)
- Symmetry Breaking in Semilinear Elliptic Equations with Critical Exponents (1988) (2)
- EVALUATION OF DG CONTRIBUTION CONSIDERING NETWORK RELIABILITY (2014) (2)
- Image-model coupling:application to an ionospheric storm (2010) (2)
- Topic Study Group No. 07: Popularization of Mathematics (2017) (2)
- The Alignment Properties of Monge-Ampere based Mesh Redistribution Methods: I Linear Features (2014) (2)
- BIFURCATIONS OF PERIODIC SOLUTIONS SATISFYING THE ZERO-HAMILTONIAN CONSTRAINT IN FOURTH-ORDER DIFFERENTIAL EQUATIONS (2007) (2)
- The effect of numerical model error on data assimilation (2015) (2)
- On self-similar blow-up in evolution equations of Monge–Ampère type (2013) (2)
- Extensions to the finite-element code FENDER to accommodate three-dimensional problems (1986) (2)
- Sliding bifurcations in Filippov systems (2008) (1)
- Modelling Axisymmetric Centrifugal Compressor Characteristics From First Principles (2019) (1)
- The geometry of optimally transported meshes on the sphere (2017) (1)
- HOW TO MAKE A RUGGEDIZED SSD (2016) (1)
- Multilayer Asymptotic Solution for Wetting Fronts in Porous Media with Exponential Moisture Diffusivity (2015) (1)
- Chevron folding patterns and heteroclinic orbits (2016) (1)
- Breathers in a Pinned Mechanical Lattice (2011) (1)
- Getting the most out of maths: How to coordinate mathematical modelling research to support a pandemic, lessons learnt from three initiatives that were part of the COVID-19 response in the UK (2022) (1)
- An interpolation tool for aircraft surface pressure data (2007) (1)
- Modeling Axisymmetric Centrifugal Compressor Characteristics From First Principles (2020) (1)
- Symmetry breaking and semilinear elliptic equations (1989) (1)
- Self-similar blow-up in parabolic equations of Monge--Amp\`ere type (2009) (1)
- Asymptotic properties of the space–time adaptive numerical solution of a nonlinear heat equation (2018) (1)
- Asymptotical Computations for a Model of Flow in Concrete (2012) (1)
- A Time-Dependent Model for the Space-Charge Distribution in Solid Dielectrics Under High Electric Field (1991) (1)
- The Nite Element Approximation of Semi-linear Elliptic Pdes with Critical Exponents in the Cube Finite Element Approximation of Semi-linear Elliptic Pdes with Critical Exponents 2 (1996) (1)
- Piecewise-smooth Hopf type bifurcations arising from impact / friction contact events in rotating machinery (2014) (1)
- Bifurcation in Elliptic Systems (1987) (1)
- Convergence of split-step generalized-Laguerre-Fourier-Hermite methods for Gross-Pitaevskii equations with rotation term (2012) (1)
- Image-model coupling: a simple information theoretic perspective for image sequences (2009) (1)
- The asymptotic behaviour of the solutions of the Kassoy problem with a modified source term (1989) (1)
- Error estimates for semi-Lagrangian finite difference methods applied to Burgers' equation in one dimension (2019) (1)
- Mesh Selection for a Nearly Singular Boundary Value Problem (2002) (1)
- Communicating Maths and Science (2003) (1)
- The Kassoy problem and its generalisations (1992) (1)
- Border-collision in piecewise-linear continuous maps (2008) (1)
- Laser Welding of a Stent (2008) (0)
- Testing fish freshness by using a mechanical probe (2000) (0)
- adaptation on the sphere using optimal transport and the numerical solution of a (2018) (0)
- Temperatures in cold rooms (2001) (0)
- Efficient Implementation of Volterra Filters For De-interlacing TV Images (1998) (0)
- Proc. ISCAS99 (IEEE Conf on Circuits and Systems) Orlando, USA (1999) (0)
- Further applications and extensions (2008) (0)
- Boundary equilibrium bifurcations in flows (2008) (0)
- No . 25 / 2012 On the stability of the polynomial L 2-projection on triangles and tetrahedra (2012) (0)
- Characterizing Tipping in a Stochastic Reduced Stommel-Type Model in Higher-Dimensions (2017) (0)
- Modern Applications of Mathematics Growth of Value in Social Networks (2008) (0)
- materialsset methods for the displacement of layered (2014) (0)
- Limit cycle bifurcations in impacting systems (2008) (0)
- One dimensional models for the microwave heating of moist foodstuffs (2007) (0)
- Sketch: Playful Maths (2019) (0)
- Asymptotic properties of the space–time adaptive numerical solution of a nonlinear heat equation (2018) (0)
- Generalisation of the Levi-Civita/Kustaanheimo-Stiefel regularisation: Scaling invariance (2002) (0)
- Institute of Mathematics and its Applications (1965) (0)
- Can You Do Mathematics In A Crowd? (2018) (0)
- Some numerical methods for solving the neutron transport equation (1983) (0)
- Modeling H+ and K+ transport across cell membranes (1992) (0)
- Height-volume characteristics of a fuel tank (2007) (0)
- Improving weather forecasting accuracy by using r-adaptive methods coupled to data assimilation algorithms (2016) (0)
- Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences: 357 (1754) (1999) (0)
- Joining forces in international mathematics outreach efforts (2016) (0)
- Eight Great Reasons to Do Mathematics (2017) (0)
- A Nonlinear Inverse Source Problem for Poisson's Equation Withneumann Boundary Condition and Point Sources (2022) (0)
- Solution of Maxwell's equations: some practical problems in applying present-day codes (1996) (0)
- Modeling Coronas and Space Charge Phenomena (1990) (0)
- Approximating highly anisotropic functions with optimally transported meshes (2018) (0)
- The Artis Problem (2002) (0)
- A pharmacokinetic investigation of florfenicol as an alternate treatment for chlamydiosis in the koala (Phascolarctos cinereus) (2015) (0)
- Improving the Forecasting of Storms (2012) (0)
- Maths Makes Waves ! (2013) (0)
- TRACING THE CONTRIBUTION OF INDIVIDUAL DG TO GRID SUPPLY POINT (2015) (0)
- Limit cycle bifurcations in piecewise-smooth flows (2008) (0)
- Statistical modelling in data assimilation (2009) (0)
- 1991 Leiden Conf on Nonlinear Diffusion (1991) (0)
- Phase Space Reconstruction of Discontinuous Maps (1996) (0)
- Bifurcations in general piecewise-smooth maps (2008) (0)
- Fitting surfaces with the Miura tessellation (2019) (0)
- BICS Bath Institute for Complex Systems Parabolic Monge-Ampère methods for blow-up problems in several space dimensions (2005) (0)
- Modelling microwave cooking; theory and experiment (2007) (0)
- SPATIAL CHAOS , BREATHERS AND PHONOBREATHERS IN A PINNED MECHANICAL LATTICE (2008) (0)
- Non-smooth Hopf-Type and Grazing Bifurcations Arising from Impact/Friction Contact Events (2017) (0)
- How Much Math is Too Much Math (2011) (0)
- The Origin of Emergent Scaling in Large Electrical Networks (2009) (0)
- Hanging a carillon in a broek-system (2004) (0)
- Modelling of plasmas used for etching semiconductors (2003) (0)
- A mechanical realisation of a symplectic numerical method with large step-size (2006) (0)
- Tripwire Detection for Landmines (1998) (0)
- Geometric integration and static equilibrium states of finite , nearest-neighbour-coupled lattice models (0)
- Contaminant Transport in Municipal Water Systems Report Written (2007) (0)
- THE DYNAMICS OF REGULARISED MAPS WITH GAPS , WITH APPLICATIONS TO IMPACTING AND RELATED SYSTEMS (2008) (0)
- Short term power forecasts for large offshore wind turbine arrays (2013) (0)
- Experimental Study of Parameters Involved in the Process of the Generation of Microwave Radiation by Compression of Ionic Crystals (1997) (0)
- The Artis aquarium problem (2002) (0)
- 1 Self-Similar Blow-Up in Quasilinear Parabolic Equations (0)
- Dynamics of a Spinning Disk Impacting with Friction (2012) (0)
- The Effect of Mechanical Loading on the Frequency of an Oscillator Circuit Report Contributors : (2011) (0)
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