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Robert McLachlan studied at Canterbury and Caltech and has worked at the University of Colorado at Boulder and ETH Zurich. He has been a research fellow at the Isaac Newton Institute, Cambridge, the Mathematical Sciences Research Institute, Berkeley, and the Center for Advanced Study, Oslo. Since its founding in the early 1990s he has been a leader in the new field of geometric numerical integration, a technique for the reliable simulation of large-scale complex systems, especially those arising in computational physics and chemistry.
Numerical solution of differential equations, especially geometric numerical integration.
Numerical analysis including optimization and image processing.
Resource Development and Management
Field of research codes
Algebraic Structures in Mathematical Physics (010501): Applied Mathematics (010200): Applied Mathematics not elsewhere classified (010299): Calculus of Variations, Systems Theory and Control Theory (010203): Dynamical Systems in Applications (010204): Integrable Systems (Classical and Quantum) (010502): Mathematical Aspects of Classical Mechanics, Quantum Mechanics and Quantum Information Theory (010503): Mathematical Physics (010500): Mathematical Sciences (010000): Numerical and Computational Mathematics (010300): Numerical Solution of Differential and Integral Equations (010302): Optimisation (010303): Theoretical and Applied Mechanics (010207)
Numerical analysis, scientific computation, simulation, symplectic integrators, image processing.
Project Title: Geometric numerical integration: new structures and applications
Date Range: 2015 - 2019
Funding Body: Royal Society of New Zealand
Project Title: Geometric Integration
Date Range: 2008 - 2012
Funding Body: Marsden Fund - Full