Staff profile
Dr Peter van der Kamp
Research Fellow Level B
School of Engineering and Mathematical Sciences
Room 306A / Physical Sciences 2
- T: +61 (0)3 9479 1614
- F: +61 (0)3 9479 2466
- E: P.vanderKamp@latrobe.edu.au
- W: www.wiskun.de
Qualifications
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Doctorandus (Theoretical) Physics, PhD Mathematics.
Teaching areas
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MAT2LAL Linear Algebra, MAT3AC Advanced Calculus and Cosmology.
Supervision
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Dinh Tran (current), Omar Rojas (2009).
Research interests
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I enjoy doing research in integrable systems, a broad area at the boundary of physics and mathematics. I am mainly concerned with algebraic and geometric properties of nonlinear differential equations and difference equations. Keywords are symmetries and invariants.
Recent publications and presentations
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Closed-form expressions for integrals of traveling wave reductions of integrable lattice equations (PDF 260KB), Dinh T. Tran, Peter H. van der Kamp, G.R.W. Quispel, J. Phys. A: Math. Theor. 42 (2009) 225201 (20pp).
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Global classification of 2-component approximately integrable evolution equations (PDF 320KB), Peter H. van der Kamp, Foundations of Computational Mathematics 9 (2009), 559–597. Maple code
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Initial value problems for lattice equations (PDF 227KB), Peter H. van der Kamp, J. Phys. A: Math. Theor. 42 (2009) 404019.
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Sufficient number of integrals for the pth order Lyness equation (PDF 187KB), Dinh T Tran, Peter H. van der Kamp, G.R.W. Quispel, J. Phys. A: Math. Theor. 43 (2010) 302001.
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Growth of degrees of integrable mappings (PDF 205KB), Peter H. van der Kamp, Journal of Difference Equations and Applications (accepted).