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Similarity solutions of a Becker-Döring system with time-dependent monomer input
Journal Article
Wattis, J. A. Similarity solutions of a Becker-Döring system with time-dependent monomer input. Journal of Physics A: Mathematical and General, 37,

We formulate the Becker-Döring equations for cluster growth in the presence of a time-dependent source of monomer input.
In the case of size-independent aggregation and ragmentation
rate coefficients we find similarity solutions which are approache... Read More about Similarity solutions of a Becker-Döring system with time-dependent monomer input.

The Becker-Döring equations with exponentially size-dependent rate coefficients
Journal Article
Wattis, J. A., Bolton, C. D., & Coveney, P. V. The Becker-Döring equations with exponentially size-dependent rate coefficients. Journal of Physics A: Mathematical and General, 37,

This paper is concerned with an analysis of the Becker-Döring equations which lie at the heart of a number of descriptions of non-equilibrium phase transitions and related complex dynamical processes. The Becker-Döring theory describes growth and fra... Read More about The Becker-Döring equations with exponentially size-dependent rate coefficients.

State sum models for quantum gravity
Journal Article
Barrett, J. W. State sum models for quantum gravity

This paper reviews the construction of quantum field theory on a 4-dimensional spacetime by combinatorial methods, and discusses the recent developments in the direction of a combinatorial construction of quantum gravity.

Unlinked Embedded Graphs
Journal Article
Barrett, J. W. Unlinked Embedded Graphs

This paper is a self-contained development of an invariant of graphs embedded in three-dimensional Euclidean space using the Jones polynomial and skein theory. Some examples of the invariant are computed. An unlinked embedded graph is one that contai... Read More about Unlinked Embedded Graphs.

Endomorphisms of Banach algebras of infinitely differentiable functions
Journal Article
Feinstein, J., & Kamowitz, H. Endomorphisms of Banach algebras of infinitely differentiable functions

In this note we study the endomorphisms of certain Banach algebras of infinitely differentiable functions on compact plane sets, associated with weight sequences M. These algebras were originally studied by Dales, Davie and McClure.
In a pr... Read More about Endomorphisms of Banach algebras of infinitely differentiable functions.

Two-grid hp-version discontinuous Galerkin finite element methods for second-order quasilinear elliptic PDEs
Journal Article
Congreve, S., Houston, P., & Wihler, T. P. Two-grid hp-version discontinuous Galerkin finite element methods for second-order quasilinear elliptic PDEs. Manuscript submitted for publication

In this article we propose a class of so-called two-grid hp-version discontinuous Galerkin finite element methods for the numerical solution of a second-order quasilinear elliptic boundary value problem of monotone type. The key idea in this setting... Read More about Two-grid hp-version discontinuous Galerkin finite element methods for second-order quasilinear elliptic PDEs.