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#### 2002

The interaction between dispersal,
the Allee effect and scramble competition affects population dynamics, R. Etienne, B. Wertheim, L. Hemerik, P. Schneider, and James A. Powell; *Ecological Modelling*

The Principle of Symmetric Criticality in General Relativity, Mark E. Fels and C. G. Torre; *Quantum Grav.*

Modelling Phenology with Variability, E. Gilbert, James A. Powell, J. A. Logan, and B. J. Bentz; *Modelling Phenology with Variability*

The Red-Top Model, J. Heavilin, James A. Powell, J. A. Logan, and B. J. Bentz; *The Red-Top Model*

A model of the escape of Sclerotinia
sclerotiorum ascospores from pasture, M. de Jong, G. Bourdot, James A. Powell, and J. Goudriaan; *Ecological Modeling*

Swan Flight Dynamics and Vulnerability, H. Tangermann, James A. Powell, and T. Messmer; *Swan Flight Dynamics and Vulnerability*

#### 2001

Group Invariant Solutions in Mathematical Physics and Differential Geometry, Ian M. Anderson, Mark E. Fels, and Charles G. Torre; *The Geometrical Study of Differential Equations*

Group invariant solutions in mathematical physics and differential geome-
try, Ian M. Anderson, M. Fels, and C. Torre; *Contemporary Mathematics*

Group Invariant Solutions without Transversality and the Principle of
Symmetric Criticality, Ian M. Anderson, M. Fels, and C. Torre; *Group Invariant Solutions without Transversality and the Principle of
Symmetric Criticality*

Mountain pine beetle population distribution: influences
of an adaptive seasonality, B. J. Bentz, J. A. Logan, and James A. Powell; *Boreal
Odyssey: Proceedings of the North American Forest Insect Work Conference*

Modeling the impacts of temperature
on the population dynamics of the mountain pine beetle, B. J. Bentz, J. A. Logan, James A. Powell, and E. Hank; *Boreal Odyssey: Proceedings of the North American Forest Insect Work Conference*

EpidemicWaves in a Discrete Time Model of Bark
Beetle Infestation, K. Black, James A. Powell, J. A. Logan, and B. J. Bentz; *EpidemicWaves in a Discrete Time Model of Bark
Beetle Infestation*

Variations on Interval Graphs, David E. Brown, J. R. Lundgren, and C. Miller; *Congressus Numerantium*

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

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, James S. Cangelosi, and Ann Marie Harris; *SIAM Review*

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

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*

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

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

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

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

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*

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

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

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

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

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

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

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

#### 1980

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