Elizabeth Mansfield

Elizabeth Mansfield 's AcademicInfluence.com Rankings

Elizabeth Mansfield

Mathematics

#4313

World Rank

#6156

Historical Rank

Measure Theory

#3833

World Rank

#4519

Historical Rank

mathematics Degrees

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Mathematics

Elizabeth Mansfield 's Degrees

Masters Mathematics University of Melbourne
PhD Mathematics Australian National University

Why Is Elizabeth Mansfield Influential?

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According to Wikipedia, Elizabeth Louise Mansfield is an Australian mathematician whose research includes the study of moving frames and conservation laws for discretisations of physical systems. She is a Fellow of the Institute of Mathematics and its Applications and was a Vice-President thereof from January 2015 until December 2018. She was the first female full professor of mathematics at the University of Kent. She was one of the co-editors of the LMS Journal of Computation and Mathematics, a journal published by the London Mathematical Society from 1998 to 2015. She is on the Editorial Board of the Journal of the Foundations of Computational Mathematics.

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Elizabeth Mansfield 's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Symmetry reductions and exact solutions of a class of nonlinear heat equations (1993) (291)
Algorithms for the Nonclassical Method of Symmetry Reductions (1994) (133)
On a Shallow Water Wave Equation (1994) (98)
A Variational Complex for Difference Equations (2004) (95)
The second Painlevé equation, its hierarchy and associated special polynomials (2003) (88)
A Practical Guide to the Invariant Calculus (2010) (85)
Symmetries of a class of nonlinear third-order partial differential equations (1996) (50)
Algorithms for Symmetric Differential Systems (2001) (49)
Symmetries and exact solutions of a (2+1)-dimensional sine-Gordon system (1994) (41)
Applications of the Differential Algebra Package diffgrob2 to Classical Symmetries of Differential Equations (1997) (40)
Symmetry reductions and exact solutions of shallow water wave equations (1994) (37)
Extensions of Noether's Second Theorem: from continuous to discrete systems (2011) (36)
Symmetry group analysis of the shallow water and semi-geostrophic equations (2005) (32)
The Nonclassical Group Analysis of the Heat Equation (1999) (31)
On One‐Parameter Families of Painlevé III (1998) (30)
Discrete Moving Frames and Discrete Integrable Systems (2012) (29)
Symmetries and exact solutions for a 2 + 1-dimensional shallow water wave equation (1997) (29)
On Moving Frames and Noether’s Conservation Laws (2010) (29)
Nonclassical Reductions of a 3+1-Cubic Nonlinear Schrodinger System (1998) (29)
Moving frames for laplace invariants (2008) (28)
A Simple Criterion for Involutivity (1996) (24)
Evolution of curvature invariants and lifting integrability (2006) (23)
Difference Forms (2008) (19)
Discrete Moving Frames on Lattice Varieties and Lattice-Based Multispaces (2018) (19)
Elimination theory for differential difference polynomials (2003) (18)
Moving Frames and Conservation Laws for Euclidean Invariant Lagrangians (2011) (18)
ALGORITHMS FOR SPECIAL INTEGRALS OF ORDINARY DIFFERENTIAL EQUATIONS (1996) (18)
Diffgrob2: A symbolic algebra package for analysing systems of PDE using MAPLE (1993) (17)
MOVING FRAMES AND NOETHER’S CONSERVATION LAWS—THE GENERAL CASE (2013) (13)
Towards a variational complex for the finite element method (2005) (13)
On the relation between the continuous and discrete Painlevé equations (2000) (13)
Open Problems in Symmetry Analysis (2001) (12)
The differential algebra package diffgrob2 (1996) (12)
Nonclassical Symmetry Reductions and Exact Solutions of Nonlinear Reaction-Diffusion Equations (1993) (10)
Moving frames and Noether’s finite difference conservation laws II (2018) (8)
Towards approximations which preserve integrals (2001) (6)
Discrete Variational Calculus for B-Spline Curves (2013) (4)
Noether-Type Discrete Conserved Quantities Arising from a Finite Element Approximation of a Variational Problem (2012) (4)
Foundations of Computational Mathematics, Santander 2005: Discrete Noether Theorems (2006) (3)
Symmetries of the Nonlinear Heat Equation (1993) (3)
Applications of the Dierential Algebra Package diffgrob2 to Classical Symmetries of Dierential Equations (1997) (3)
Variational problems with symmetry (2010) (2)
Discrete Moving Frames on Lattice Varieties and Lattice-Based Multispaces (2016) (1)
On the use of the rotation minimizing frame for variational systems with Euclidean symmetry (2019) (1)
Noether's Theorem for Smooth, Difference and Finite Element Schemes (2006) (1)
On Discrete Painleve Equations as Backlund Transformations (2002) (1)
Moving frames and differential algebra (2002) (1)
On Discrete Painlev´ e equations as B¨ acklund Transformations (2000) (1)
Using Lie group integrators to solve two and higher dimensional variational problems with symmetry (2019) (1)
A Practical Guide to the Invariant Calculus: Moving frames (2010) (0)
Discrete Variational Calculus for B-spline Approximated Curves (2010) (0)
Noether-Type Discrete Conserved Quantities Arising from a Finite Element Approximation of a Variational Problem (2015) (0)
Invariant ordinary differential equations (2010) (0)
Symbolic methods for symmetric variational problems: the SE(3) case (2011) (0)
A Practical Guide to the Invariant Calculus: Calculus on Lie groups (2010) (0)
On the Modern Notion of a Moving Frame (2011) (0)
On Poisson structures arising from a Lie group action (2019) (0)
On syzygies and curvature matrices (2010) (0)
Noether’s Two Theorems, Moving frames and Symbolic Computation (2011) (0)
Foreword (2013) (0)
Discrete Variational Calculus for B-Spline Curves (2013) (0)
Digital atlases and difference forms (2008) (0)
Noether's Theorem for Smooth, Discrete and Finite Element Models (2005) (0)
Introduction to invariant and equivariant problems The curve completion problem (0)
From Lie group to Lie algebra (2010) (0)
Introduction to invariant and equivariant problems (2010) (0)
New geometric and numeric tools for the analysis of differential equations (2010) (0)
On a ShallowWaterWave Equation (1993) (0)
Problems in Symmetry Analysis (2009) (0)
Discrete Moving Frames and Discrete Integrable Systems (2013) (0)
A Practical Guide to the Invariant Calculus: References (2010) (0)
On discrete analogues of potential vorticity for variational shallow water systems (2023) (0)

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Elizabeth Mansfield 's Academic­Influence.com Rankings