Igor Rychkov

Postdoctoral Fellow, Mathematics

old but nice photo


Department of Mathematics and Statistics
University of Canterbury
Private Bag 4800
Christchurch, NEW ZEALAND

Room 720, Erskine Building
Telephone: +64 3 364 2987 ext. 8337
Fax: +64 3 364 2587
Email: igor.rychkov@canterbury.ac.nz

Research

Ongoing Projects

Numerical analysis, applied approximation theory

  • "Faster Fast Multipoles RBF with Exponential Expansion", with Rick Beatson, and Wen Eng Ong, submitted to Journal of Computational and Applied Mathematics, 2012
  • "A greedy Least Squares method using implicit incremental QR decomposition", work-complete, writing, to be submitted to e.g., Numerical Linear Algebra with Applications, in 2013
  • "Locally controlled globally smooth ground surface reconstruction from terrestrial point clouds", submitted to Spatial Statistics, 2012, arxiv

Unconstrained optimization

  • "An improved Nelder-Mead algorithm for global optimisation", with Chris Price, half-done

Rigorous global optimisation, Interval arithmetic

  • "Multi-threaded rigorous global optimization with C-XSC", with Raazesh Sainudiin, to be submitted to Reliable Computing, February 2013

Computational geometry, computer graphics, point based visualization

  • "Ray Tracing of Implicit Function Surfaces", with Brenton Milne, R. Mukundan, and Chris Price, 2012/13 summer project.
  • "Point-set surface rendering", summer project proposal, doc

Terrestrial point-set surfaces

Statistical physics

  • ”Isoconfigurational thermostat”, Igor Rychkov and Debra J. Searles, submitted to European Physics Letters, 2011, some more work needed for the next revision, arxiv

SPH and other particle methods in (geophysical) fluid dynamics modelling

  • "Modelling geophysical fluids and burst debris flow with multiphase SPH on GPU", with Mike Bithell @cam.ac.uk and possibly Neil Glasser @aber.ac.uk, NERC project proposal, rejected, 2009.
  • "SPH approaches to river modelling", project poroposal, pdf
  • "Navier-Stokes Equations on Riemannian Manifolds", summer project proposal, doc

Computing and programming

  • SageGPU: Web interface to CUDA development and GPU cloud computing, pdf

Old Projects

Soft condensed matter, statistical physics of macromolecules, polymer physics, computational materials

Teaching and Learning

Previous Teaching

  • MATH342 Applications of complex variables
  • MATH371 Vector Calculus and Modelling
  • MATH252 Matrix Algebra 2
  • MATH102 Mathematics

Course Auditing

  • MATH410 Approximation Theory
  • MATH352 Applied Matrix Algebra
  • MATH443 Metric, Normed and Hilbert Spaces
  • MATH424 Wavelets and Data Compression
  • MATH469 Computer-Aided Proofs
  • MATH402 Dynamical systems 2
  • MATH412 Unconstrained Optimization
  • MATH420 Hilbert spaces
  • MATH425 Fourier Transforms and Distribution Theory
  • MATH426 Differential Geometry
  • MATH427 Lie Groups and Lie Algebras
  • MATH416 Differential Systems