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2001

The Principle of Symmetric Criticality in General Relativity, Mark E. Fels; The Principle of Symmetric Criticality in General Relativity

Low seasonal temperatures promote life cycle synchronization, J. L. Jenkins, James A. Powell, J. A. Logan, and B. J. Bentz; Bulletin of Mathematical Biology

Ghost forests, global warming, and the mountain pine beetle, J. A. Logan, B. J. Bentz, and James A. Powell; Boreal Odyssey: Proceedings of the North American Forest Insect Work Conference

Ghost Forests, Global Warming and the Mountain Pine Beetle, J. A. Logan and James A. Powell; American Entomologist

Spatio-Temporal Models in Ecology: An Introduction to Integrodifference Equations, James A. Powell; Spatio-Temporal Models in Ecology: An Introduction to Integrodifference Equations

The Energetics of Bird Migration: An Applied Project in Optimization, K. A. Sullivan and James A. Powell; The Energetics of Bird Migration: An Applied Project in Optimization

Measuring and modelling dispersal of Coccinella septempunctata in alfalfa fields, W. Van der Werf, E. W. Evans, and James A. Powell; European Journal of Entomology

2000

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Group Invariant Solutions Without Transversality, Ian M. Anderson, Mark E. Fels, and Charles G. Torre; Communications in Mathematical Physics

Group Invariant Solutions without Transversality, Ian M. Anderson, M. Fels, and C. Torre; Communications in Mathematical Physics

Group Invariant Solutions without Transversality, I. M. Anderson, Mark E. Fels, and C. G. Torre; Comm. Math. Phys.

Direct and Indirect Parametrization of a Localized Model for the Mountain Pine Beetle – Lodgepole Pine System, Z. Biesinger, James A. Powell, B. Bentz, and J. Logan; Ecological Modelling

Evaluation of translocation criteria: a case study with trumpeter swans (Cygnus buccinator), K. A. M. Engelhardt, V. L. Roy, James A. Powell, and J. A. Kadlec; Biological Conservation

Dispersal may enable persistence of fruit flies suffering from the Allee effect and scramble competition, R. Etienne, B. Wertheim, L. Hemerik, P. Schneider, and James A. Powell; Proceedings of the Dutch Entomological Society

Group Invariant Solutions in Mathematical Physics and Differential Geometry, Mark E. Fels; Group Invariant Solutions in Mathematical Physics and Differential Geometry

Group Invariant Solutions Without Transversality, Mark E. Fels; Group Invariant Solutions Without Transversality

Optimal trajectories for the short-distance foraging flights of swans, James A. Powell and K. A. M. Engelhardt; Journal of Theoretical Biology

Seasonal Temperature Alone Can Synchronize Life Cycles, James A. Powell, J. Jenkins, J. A. Logan, and B. J. Bentz; Bulletin of Mathematical Biology

Mathematical elements of attack risk analysis for mountain pine beetles, James A. Powell, B. Kennedy, P. White, B. Bentz, J. Logan, and D. Roberts; Journal of Theoretical Biology

Dispersal of Coccinella septempunctata in Utah alfalfa, W. Van der Werf, E. W. Evans, and James A. Powell; Proceedings of the Dutch Entomological Society

1999

Applications of Gauge Transformations to Invariant Variational Problems, Mark E. Fels; Applications of Gauge Transformations to Invariant Variational Problems

The Principle of Symmetric Criticality Without Transversality, Mark E. Fels; The Principle of Symmetric Criticality Without Transversality

Moving Coframes II. Regularization and Theoretical Foundations, Mark E. Fels and P. J. Olver; Acta. Appl. Math

1998

Moving Coframes I. A Practical Algorithm, Mark E. Fels and P. J. Olver; Acta. Appl. Math

Model analysis of the temporal evolution of spatial patterns in mountain pine beetle outbreaks, J. Logan, P. White, B. Bentz, and James A. Powell; Theoretical Population Biology

Games to teach mathematical modelling, James A. Powell, J. Cangelosi, and A. M. Harris; SIAM Review

Connecting a Chemotactic Model for Mass Attack to a Rapid Integro-Difference Emulation Strategy, James A. Powell, T. McMillen, and P. White; SIAM Journal of Applied Mathematics

Theoretical Analysis of ‘Switching’ in a Localized Model for Mountain Pine Beetle Mass Attack, James A. Powell, J. Tams, B. Bentz, and J. Logan; Journal of Theoretical Biology

Phase transition from environmental to dynamic determinism in mountain pine beetle attack, P. White and James A. Powell; Bulletin of Mathematical Biology

Spatial invasion of pine beetles into lodgepole forests: a numerical approach, P. White and James A. Powell; SIAM Journal of Science Comp.

1997

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Symmetry Reduction of Variational Bicomplexes and the Principle of Sym- metric Criticality, Ian M. Anderson and M. Fels; American Journal of Mathematics

Generalized Laplace Invariants and the Method of Darboux, Ian M. Anderson and Martin Juras; Duke Mathematical Journal

The Variational Bicomplex for Second Order Partial Differential Equa- tions in the Plane, Ian M. Anderson and N. Kamran; Duke Mathematical Journal

Symmetry Reduction of Variational Bicomplexes and the Principle of Symmetric Criticality, I. M. Anderson and Mark E. Fels; American Journal of Mathematics

The Inverse Problem in the Calculus of Variations, Mark E. Fels; The Inverse Problem in the Calculus of Variations

On Relative Invariants, Mark E. Fels and P. J. Olver; Mathematische Annalen

Model analysis of spatial patterns in mountain pine beetle outbreaks, J. A. Logan, P. White, B. Bentz, and James A. Powell; Model analysis of spatial patterns in mountain pine beetle outbreaks

Interactions among stomata in response to perturbations in humidity, K. A. Mott, F. Denne, and James A. Powell; Plant, Cell and Environment

Conditional stability of front solutions, James A. Powell; Journal of Mathematical Biology

Local consequences of a global model for mountain pine beetle mass attack, James A. Powell and J. Rose; Dynamics and Stability of Systems

1996

Symmetries, Conservation Laws, and Variational Principles for Vector Field Theories, Ian M. Anderson and J. Pohjanpelto; Proceedings of the Cambridge Philisophical Society

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The Classification of Local Generalized Symmetries for the Einstein Equa- tions, Ian M. Anderson and C. Torre; Communications in Mathematical Physics

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Asymptotic Conservation Laws in Classical Field Theory, Ian M. Anderson and Charles G. Torre; Physical Review Letters

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Asymptotic Conservation Laws in Field Theory, Ian M. Anderson and Charles G. Torre; Physical Review Letters

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Classification of Local Generalized Symmetries for the Vacuum Einstein Equations, Ian M. Anderson and Charles G. Torre; Communications in Mathematical Physics

Spatial and temporal attack dynamics of the mountain pine beetle: Implications for Management, B. J. Bentz, J. A. Logan, and James A. Powell; Spatial and temporal attack dynamics of the mountain pine beetle: Implications for Management

Spatial and Temporal Attack Dynamics of the Mountain Pine Beetle: Implications for Management, B. J. Bentz, J. A. Logan, and James A. Powell; Integrating Cultural Tactics into the Management of Bark Beetle and Reforestation Pests

Self-focusing and Self-dissipation: Strategies for Mountain Pine Beetle Survival, B. J. Bentz, James A. Powell, and J. A. Logan; Self-focusing and Self-dissipation: Strategies for Mountain Pine Beetle Survival

Spatial and temporal attack dynamics of the mountain pine beetle (Dendroctonus ponderosae) in lodgepole pine, B. J. Bentz, James A. Powell, and J. A. Logan; USDA/FS Research Note

The Inverse Problem of the Calculus of Variations for Scala Fourth Order Ordinary Differential Equations, Mark E. Fels; Trans. Amer. Math Soc.

Local projections for a global model of mountain pine beetle attacks, James A. Powell, J. A. Logan, and B. J. Bentz; Journal of Theoretical Biology

1995

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Conservation Laws and the Variational Bicomplex for Second Order ScalarHyerbolic Equations in the Plane, Ian M. Anderson and N. Kamran; Acta Applicanda

La Cohomologie du complexe bi-gradu´e variationnel pour les ´equations paraboliques du deuxi´eme ordre dans le plan, Ian M. Anderson and N. Kamran; Comptes Rendus de l'Académie des Sciences de Paris

Infinite Dimensional Lie Algebra Cohomology and the Cohomology of In- variant Euler-Lagrange Complexes: A Prelimenary Report, Ian M. Anderson and J. Pohjanpelto; Proceedings of the Conference on Differential Geometry and its Applications

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On the Cohomology of Invariant Variational Bicomplexes, Ian M. Anderson and J. Pohjanpelto; Acta Applicanda

Variational Principles for Differential Equations with Symmetries and Conservation Laws II: Polynomial Equations, Ian M. Anderson and J. Pohjanpelto; Mathematische Annalen

Symmetry Reduction of Conservation Laws and Variational Principles, Mark E. Fels; Symmetry Reduction of Conservation Laws and Variational Principles

The Equivalence Problem for Systems of Second order Ordinary Differential Equations, Mark E. Fels; Proc. London Math Soc.

1994

Variational Principles for Differential Equations with Symmetries and Conservation Laws I: Second Order Scalar Equations, Ian M. Anderson and J. Pohjanpelto; Mathematische Annalen

TheGeneralized Inverse Problem in the Calculus of Variations, Mark E. Fels; TheGeneralized Inverse Problem in the Calculus of Variations

Reflection of localized beams from a nonlinear absorbing interface, James A. Powell, E. M. Wright, and J. V. Moloney; SIAM Journal of Applied Mathematics

1993

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Internal, External and Generalized Symmetries, Ian M. Anderson, N. Kamran, and P. Olver; Advances in Mathematics

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Symmetries of the Einstein Equations, Ian M. Anderson and C. Torre; Physical Review Letters

The Equivalence Problem for Systems of Second Order Ordinary Differential Equations, Mark E. Fels; The Equivalence Problem for Systems of Second Order Ordinary Differential Equations

Localized states in fluid convection and multi-photon lasers, James A. Powell and P. K. Jakobsen; Physica D

Beam collapse as an explanation for anomalous ocular damage, James A. Powell, J. V. Moloney, A. C. Newell, and R. A. Albanese; JOSA B

1992

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Introduction to the Variational Bicomplex, Ian M. Anderson; Contemporary Mathematics

The Inverse Problem in the Calculus of Variations for Ordinary Differen- tial Equations, Ian M. Anderson and G. Thompson; Memoirs of the AMS

Non-generic connections corresponding to front solutions, James A. Powell and M. Tabor; Journal of Physics A

1991

Beam Collapse in the Human Eye: Numerical Model, James A. Powell; Beam Collapse in the Human Eye: Numerical Model

Competition between generic and nongeneric fronts in envelope equations, James A. Powell, A. C. Newell, and C. K. R. T. Jones; Physical Review A

1990

Non-Factorizable Separable Systems and Higher-Order Symmetries of the Dirac Operator, Mark E. Fels and N. Kamran; Proc. R. Soc. Lond.

Systµemes s¶eparables non-factorisables et sym¶etries de dieuxiµeme ordre de l' op¶erateur de Dirac, Mark E. Fels and N. Kamran; Acad. Sci. Paris

Nearly real fronts in a Ginzburg-Landau equation, C. K. R. T. Jones, T. M. Kapitula, and James A. Powell; Proceedings of the Royal Society Edinburgh

Beam Collapse in the Human Eye, James A. Powell; Beam Collapse in the Human Eye

1989

Kerr-Schild Rides Again, Mark E. Fels and A. Held; General Relativity and Gravitation

Saddle-node bifurcation of slowly-varying, nonlinear travelling waves, James A. Powell and A. Bernoff; Saddle-node bifurcation of slowly-varying, nonlinear travelling waves

1988

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Aspects of the Inverse Problem to the Calculus of Variations, Ian M. Anderson; ArchivumMathematicum

1987

The forward-in-time upstream advection scheme: extension to higher orders, C. Tremback, James A. Powell, W. Cotton, and R. Pielke; Monthly Weather Review

1986

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Perturbations of Conservation Laws in Field Theories, Ian M. Anderson and J. Arms; Annals of Physics

1985

Determinantal Ideals and the Capelli Identities, Ian M. Anderson; Linear Algebra and its Applications

An Application of the c-Varieties Clustering Algorithm to Polygonal Curve, Ian M. Anderson and J. Bezdek; IEEE Transactions on Systems, Man, and Cybernetics

1984

Natural Variational Principles on Riemannian Structures, Ian M. Anderson; Annals of Mathematics

Curvature and Tangential Deflections of Discrete Arcs, Ian M. Anderson and J. Bezdek; IEEE Transactions on Pattern Analysis and Machine Intelligence

Variational Principles for Second-Order Quasi-Linear Scalar Equations, Ian M. Anderson and T. Duchamp; Journal of Differential Equations

1981

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The Principle of Minimal Gravitational Coupling, Ian M. Anderson; Archive for Rational Mechanics and Analysis

1980

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On the Existence of Global Variational Principles, Ian M. Anderson and T. Duchamp; American Journal of Mathematics

1979

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On the Characterization of Energy-Momentum Tensors, Ian M. Anderson; General Relativity and Gravitation

1978

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On the Structure of Divergence-Free Tensors, Ian M. Anderson; Journal of Mathematical Physics

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Tensorial Euler-Lagrange Expressions and Conservation Laws, Ian M. Anderson; Aequationes Mathematicae

1976

The Uniqueness of the Neutrino Energy-Momentum Tensor and the Einstein- Weyl Equations, Ian m. Anderson; Topics in Differential Geometry

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A Characterization of the Einstein Tensor in Terms of Spinors, Ian M. Anderson and D. Lovelock; Journal of Mathematical Physics

1974

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The Neutrino Energy-Momentum Tensor and the Weyl Equations in Curved Space-Time, Ian M. Anderson; General Relativity and Gravitation