If you made any changes in Pure these will be visible here soon.

Research Output 1979 2019

Filter
Conference contribution
1979

Algorithms for the integration of algebraic functions

Davenport, J. H., 1979, Symbolic and Algebraic Computation: Eurosam '79, An International Symposium on Symbolic and Algebraic Manipulation, Marseille, France, June 1979. Ng, E. W. (ed.). Berlin, Germany: Springer, p. 415-425 11 p. (Lecture Notes in Computer Science; vol. 72).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

The computerisation of algebraic geometry

Davenport, J. H., 1979, Symbolic and Algebraic Computation : Eurosam '79, An International Symposium on Symbolic and Algebraic Manipulation, Marseille, France, June 1979. Ng, E. W. (ed.). Berlin, Germany: Springer, p. 119-133 15 p. (Lecture Notes in Computer Science; vol. 72).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1981

Effective mathematics: the computer algebra viewpoint

Davenport, J. H., 1981, Constructive Mathematics: Proceedings of the New Mexico State University Conference Held at Las Cruces, New Mexico, August 11-15, 1980. Richman, F. (ed.). Berlin, Germany: Springer, p. 31-43 13 p. (Springer Lecture Notes in Mathematics; vol. 873).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1982

The Parallel Risch Algorithm (I)

Davenport, J. H., 1982, Computer algebra: EUROCAM '82, European Computer Algebra Conference, Marseille, France 5-7 April 1982. Calmet, J. (ed.). Berlin, Germany: Springer, p. 144-157 14 p. (Lecture Notes in Computer Science; vol. 144).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1983

Integration - what do we want from the theory?

Davenport, J. H., 1983, Computer Algebra: EUROCAL '83, European Computer Algebra Conference, London, England, March 28-30, 1983: Proceedings. Hultzen, J. A. V. (ed.). Berlin, Germany: Springer, p. 2-11 10 p. (Lecture Notes in Computer Science; vol. 162).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1985

HEUGCD- How elementary upperbounds generate cheaper data

Davenport, J. & Padget, J., 1 Apr 1985, EUROCAL '85: European Conference on Computer Algebra Linz, Austria, April 1–3 1985 Proceedings Vol. 2: Research Contributions. Caviness, B. F. (ed.). Berlin, Germany: Springer Verlag, p. 18-28 11 p. (Lecture Notes in Computer Science; vol. 204).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1986

On numbers and polynomials

Davenport, J. & Padget, J., 1986, Computers and Computing: Proceedings of the International Conference, Future Trends of Computing dedicated to N. Gastinel, grenoble, 2-6 December 1985. Chenin, P., Crescenzo, C. D. & Robert, F. (eds.). Chichester, U. K.: Wiley Masson, p. 49-53 5 p. (Études et recherches en informatique).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1989

Applications of computer algebra in solid modelling

Bowyer, A., Davenport, J. H., Milne, P. S., Padget, J. & Wallis, A. F., 1989, Eurocal '87: European Conference on Computer Algebra Leipzig, GDR, June 2–5, 1987: Proceedings. Berlin: Springer, p. 244-245 2 p. (Lecture Notes in Computer Science; vol. 378).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Effective tests for cyclotomic polynomials

Bradford, R. J. & Davenport, J. H., 1989, Symbolic and Algebraic Computation: International Symposium ISSAC '88, Rome, Italy, July 4-8, 1988: Proceedings. Gianni, P. (ed.). Berlin, Germany: Springer, p. 244-251 8 p. (Lecture Notes in Computer Science; vol. 358).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

The use of symbolic computation in geometric modelling

Wallis, A. F., Bowyer, A., Davenport, J. H., Milne, P. S. & Padget, J. A., 1 Sep 1989, Proceedings of the 3rd IMA Conference on the Mathematics of Surfaces (IMA),1988. Handscomb, D. C. (ed.). New York, U. S. A.: Clarendon Press, p. 199-206 8 p. (Mathematics of Surfaces).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1990
75 Downloads (Pure)

Scratchpad's view of algebra I: Basic commutative algebra

Davenport, J. H. & Trager, B. M., 1990, Design and Implementation of Symbolic Computation Systems: International Symposium DISCO '90 Capri, Italy, April 10–12, 1990 Proceedings. Berlin: Springer, p. 40-54 (Lecture Notes in Computer Science; vol. 429/1990).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
File
Basic Algebra
Commutative Algebra
Algebra
Computer algebra system
Polynomial function
2004
12 Citations (Scopus)

Mathematics on the (semantic) NET

Caprotti, O., Davenport, J. H., Dewar, M. & Padget, J., 2004, Semantic Web: Research and Applications. Vol. 3053. p. 213-224 12 p. (Lecture Notes in Computer Science).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Web services
WSDL
Semantics
Information services
Electric grounding
2007
58 Citations (Scopus)

The complexity of quantifier elimination and cylindrical algebraic decomposition

Brown, C. W. & Davenport, J. H., 2007, ISSAC '07 Proceedings of the 2007 international symposium on Symbolic and algebraic computation . New York: Association for Computing Machinery, p. 54-60 7 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2009
6 Citations (Scopus)
68 Downloads (Pure)

A comparison of equality in computer algebra and correctness in mathematical pedagogy

Bradford, R., Davenport, J. H. & Sangwin, C. J., 2009, Intelligent Computer Mathematics: 16th Symposium, Calculemus 2009, 8th International Conference, MKM 2009 Held as Part of CICM 2009, Grand Bend, Canada, July 6-12, 2009. Proceedings. Carette, J., Dixon, L., Sacerdoti Coen, C. & Watt, S. M. (eds.). Berlin: Springer, p. 75-89 15 p. (Lecture Notes in Computer Science; vol. 5625, no. 2).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

File
Correctness
Equality
Pedagogy
Algebra
Congruence
7 Citations (Scopus)

Certificate-free Attribute Authentication

Khader, D., Chen, L. Q. & Davenport, J. H., 2009, Cryptography and Coding: 12th IMA International Conference, Cryptography and Coding 2009. Proceedings. Parker, M. G. (ed.). Berlin: Springer, p. 301-325 25 p. (Lecture Notes in Computer Science; vol. 5921).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Authentication
Concretes
4 Citations (Scopus)

The sparsity challenges

Davenport, J. H. & Carette, J., 2009, 2009 11th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC 2009). IEEE, p. 3-7 5 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Polynomials
Algebra
2010
20 Citations (Scopus)

Triangular decomposition of semi-algebraic systems

Chen, C., Davenport, J. H., May, J. P., Maza, M. M., Xia, B. & Xiao, R., 2010, ISSAC '10 Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation , 2010. New York, U. S. A.: Association for Computing Machinery, p. 187-194 8 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Decomposition
Polynomials
Specifications
2011
9 Citations (Scopus)
75 Downloads (Pure)

Computing with semi-algebraic sets represented by triangular decomposition

Chen, C., Davenport, J. H., Moreno Maza, M., Xia, B. & Xiao, R., 2011, ISSAC '11 Proceedings of the 36th International Symposium on Symbolic and Algebraic Computation. New York: Association for Computing Machinery, p. 75-82 8 p. (Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
File
Semi-algebraic Sets
Triangular
Decompose
Computing
Decomposition Algorithm
2012
22 Citations (Scopus)
64 Downloads (Pure)

Program Verification in the presence of complex numbers, functions with branch cuts etc

Davenport, J., Bradford, R., England, M. & Wilson, D., 2012, Proceedings of SYNASC 2012: 14th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing. Piscataway: IEEE, p. 83-88 6 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
File
Program Verification
Complex number
Branch
Inverse function
Complex Functions
8 Citations (Scopus)
57 Downloads (Pure)

Speeding up cylindrical algebraic decomposition by Gröebner Bases

Wilson, D. J., Bradford, R. J. & Davenport, J. H., 2012, Intelligent Computer Mathematics. Jeuring, J., Campbell, J. A., Carette, J., Dos Reis, G., Sojka, P., Wenzel, M. & Sorge, V. (eds.). Heidelberg, Vol. 7362. p. 280-294 15 p. (Lecture Notes in Computer Science; vol. 7362).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
File
Equality
Decompose
Precondition
Preconditioning
System of equations
2013
13 Citations (Scopus)
39 Downloads (Pure)

A "piano movers" problem reformulated

Wilson, D., Davenport, J. H., England, M. & Bradford, R. J., 2013, Proceedings of SYNASC 2013: 15th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing. IEEE, p. 53-60 8 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
File
Decompose
Formulation
Geometric Analysis
Path
Motion Planning
9 Citations (Scopus)
67 Downloads (Pure)

Cylindrical algebraic decompositions for Boolean combinations

Bradford, R., Davenport, J. H., England, M., McCallum, S. & Wilson, D., 2013, ISSAC '13: Proceedings of the 38th International Symposium on Symbolic and Algebraic Computation. New York: Association for Computing Machinery, p. 125-132

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
File
Truth table
Decompose
Polynomial
Invariant
Maple
24 Citations (Scopus)
76 Downloads (Pure)

Optimising problem formulation for cylindrical algebraic decomposition

Bradford, R., Davenport, J. H., England, M. & Wilson, D., 2013, Intelligent Computer Mathematics: MKM, Calculemus, DML, and Systems and Projects 2013, Held as Part of CICM 2013, Bath, UK, July 8-12, 2013. Proceedings. Carette, J., Aspinall, D., Lange, C., Sojka, P. & Windsteiger, W. (eds.). Berlin: Springer, p. 19-34 15 p. (Lecture Notes in Computer Science; vol. 7961).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
File
Truth table
Decompose
Formulation
Real Algebraic Geometry
Groebner Basis
59 Downloads (Pure)

The changing relevance of the TLB

Jones, J., Davenport, J. & Bradford, R., Sep 2013, 2013 12th International Symposium on Distributed Computing and Applications to Business, Engineering & Science (DCABES). Piscataway, NJ: IEEE, p. 110-114 6 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

File
Tuning
9 Citations (Scopus)
241 Downloads (Pure)

Understanding branch cuts of expressions

England, M., Bradford, R., Davenport, J. H. & Wilson, D., 2013, Intelligent Computer Mathematics: MKM, Calculemus, DML, and Systems and Projects 2013, Held as Part of CICM 2013, Bath, UK, July 8-12, 2013. Proceedings. Carette, J., Aspinall, D., Lange, C., Sojka, P. & Windsteiger, W. (eds.). Berlin: Springer, p. 136-151 16 p. (Lecture Notes in Computer Science; vol. 7961).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
File
algebra
trigonometric functions
classifying
coding
2014
5 Citations (Scopus)
68 Downloads (Pure)

Attribute-based signatures with user-controlled linkability

El Kaafarani, A., Chen, L., Ghadafi, E. & Davenport, J., 2014, Cryptology and Network Security (CANS) 2014: The 13th International Conference on Cryptology and Network Security (CANS 2014) 22-24 October 2014, Heraklion, Crete, Greece. Gritzalis, D., Kiayias, A. & Askoxylakis, I. (eds.). Springer, p. 256-269 14 p. (Lecture Notes in Computer Science ; vol. 8813).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

File
9 Citations (Scopus)
82 Downloads (Pure)

Choosing a variable ordering for truth-table invariant cylindrical algebraic decomposition by incremental triangular decomposition

England, M., Bradford, R. J., Davenport, J. H. & Wilson, D., 2014, Mathematical Software – ICMS 2014: 4th International Congress, Seoul, South Korea, August 5-9, 2014. Proceedings. Springer, Vol. 8592. p. 450-457 8 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
File
Decomposition
Computer aided design
Mechanics
Polynomials
Geometry

Mathematical Massive Open Online Courses (MOOCs): report of a panel at the 2014 ICM

Davenport, J., 2014, Proceedings of the International Congress of Mathematicians (ICM), 2014.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Citations (Scopus)
80 Downloads (Pure)

Using the distribution of cells by dimension in a cylindrical algebraic decomposition

Wilson, D., England, M., Bradford, R. J. & Davenport, J. H., 2014, Symbolic and Numeric Algorithms for Scientific Computing (SYNASC), 2014 16th International Symposium on. IEEE, p. 53-60 8 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
File
Decompose
Cell
Algebraic number
Decomposition Algorithm
Heuristics
14 Citations (Scopus)
75 Downloads (Pure)

Using the regular chains library to build cylindrical algebraic decompositions by projecting and lifting

England, M., Wilson, D., Bradford, R. & Davenport, J. H., 2014, Mathematical Software – ICMS 2014: 4th International Congress, Seoul, South Korea, August 5-9, 2014. Proceedings. Hong, H. & Yap, C. (eds.). Springer, p. 458-465 8 p. (Lecture Notes in Computer Science; vol. 8592).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
File
Decomposition
Refining
Computer aided design
2015
50 Downloads (Pure)

A comparison of three heuristics to choose the variable ordering for CAD

Huang, Z., England, M., Wilson, D., Davenport, J. H. & Paulson, L. C., Feb 2015, ACM Communications in Computer Algebra. Zima, E., Caboara, M., Dumas, J-G., Gonzalez-Vega, L., Wester, M. & Zhi, L. (eds.). 3-4 ed. New York, U. S. A.: Association for Computing Machinery, Vol. 48. p. 121-123 3 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
File
Choose
Real Algebraic Geometry
Heuristics
Decompose
Experiment
2016
3 Citations (Scopus)
89 Downloads (Pure)

Innovative Pedagogical Practices in the Craft of Computing

Davenport, J. H., Hayes, A., Hourizi, R. & Crick, T., Nov 2016, Proceedings of the 2016 International Conference on Learning and Teaching in Computing and Engineering (LaTICE). IEEE, p. 115-119

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
File
journeyman
apprentice
apprenticeship
Teaching
tutor
16 Citations (Scopus)

SC2: Satisfiability Checking meets Symbolic Computation (Project Paper)

Abraham, E., Abbott, J., Becker, B., Bigatti, A. M., Brain, M., Buchberger, B., Cimatti, A., Davenport, J., England, M., Fontaine, P., Forrest, S., Griggio, A., Kroening, D., Seiler, W. & Sturm, T., 12 Jul 2016, Intelligent Computer Mathematics: 9th International Conference, CICM 2016, Bialystok, Poland, July 25-29, 2016, Proceedings. Kohlhase, M., Johansson, M., Miller, B., de Moura, L. & Tompa, F. (eds.). Springer International Publishing, p. 28-43 (Lecture Notes in Artificial Intelligence; no. 9791).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Industrial applications
9 Citations (Scopus)
21 Downloads (Pure)

The complexity of cylindrical algebraic decomposition with respect to polynomial degree

England, M. & Davenport, J. H., 9 Sep 2016, Computer Algebra in Scientific Computing: 18th International Workshop, CASC 2016, Bucharest, Romania, September 19-23, 2016, Proceedings. Gerdt, V. P., Koepf, W., Seiler, W. M. & Vorozhtsov, E. V. (eds.). Springer Verlag, p. 172-192 21 p. (Lecture Notes in Computer Science; vol. 9890).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
File
Polynomials
Decomposition
2017
12 Citations (Scopus)

A case study on the parametric occurrence of multiple steady states

Bradford, R., Davenport, J. H., England, M., Errami, H., Gerdt, V., Grigoriev, D., Hoyt, C., Košta, M., Radulescu, O., Sturm, T. & Weber, A., 23 Jul 2017, ISSAC 2017 - Proceedings of the 2017 ACM International Symposium on Symbolic and Algebraic Computation: Part F129312. Association for Computing Machinery, p. 45-52 8 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Protein Kinase
Biological Networks
Symbolic Computation
Numerics
Positivity
1 Citation (Scopus)

A Generalised Successive Resultants Algorithm

Davenport, J. H., Petit, C. & Pring, B., 9 Mar 2017, Arithmetic of Finite Fields - 6th International Workshop, WAIFI 2016, Revised Selected Papers. Springer Verlag, Vol. 10064 LNCS. p. 105-124 20 p. (Lectures Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 10064 LNCS).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Polynomials

The potential and challenges of CAD with equational constraints for SC-square

Davenport, J. H. & England, M., 2017, Mathematical Aspects of Computer and Information Sciences - 7th International Conference, MACIS 2017, Proceedings. Germany: Springer Verlag, p. 280-285 6 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 10693 ).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Modulo
Decomposition
Decompose
Quantifier Elimination
Polynomial Systems
8 Citations (Scopus)
76 Downloads (Pure)

Using Machine Learning to Decide When to Precondition Cylindrical Algebraic Decomposition With Groebner Bases

Huang, Z., England, M., Davenport, J. & Paulson, L., 26 Jan 2017, Proceedings of the 18th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, SYNASC 2016. Davenport, J. (ed.). IEEE, p. 45-52 7829592

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
File
Learning systems
Decomposition
Computational geometry
Support vector machines
Experiments
2018

Fast matrix operations in computer algebra

Tonks, Z., Sankaran, G. & Davenport, J. H., 9 Nov 2018, Proceedings - 2017 19th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, SYNASC 2017. Ida, T., Jebelean, T., Petcu, D., Watt, S. M., Negru, V. & Zaharie, D. (eds.). IEEE, p. 67-70 4 p. 8531267

Research output: Chapter in Book/Report/Conference proceedingConference contribution

29 Downloads (Pure)

Machine-Assisted Proofs

Cruz-Filipe, L., Davenport, J., Helfgott, H., Maynard, J., Poonen, B. & Huu Tiep, P., 2018, International Congress of Mathematicians - ICM 2018. World Scientific

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
File

Methodologies of Symbolic Computation

Davenport, J., Sep 2018, Artificial Intelligence and Symbolic Computation - 13th International Conference, AISC 2018, Proceedings. Wang, D., Fleuriot, J. & Calmet, J. (eds.). Cham: Springer International Publishing, p. 19-33 15 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 11110 LNAI).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Algebra
Computational complexity
3 Citations (Scopus)
14 Downloads (Pure)

TheoryGuru: A Mathematica Package to Apply Quantifier Elimination Technology to Economics

Mulligan, C. B., Davenport, J. H. & England, M., 2018, Mathematical Software – ICMS 2018 - 6th International Conference, Proceedings. Davenport, J., Kauers, M., Labahn, G. & Urban, J. (eds.). Cham, Switzerland: Springer International Publishing, p. 369-378 10 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 10931 ).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
File
Quantifier Elimination
Mathematica
Economics
Social sciences
Mathematical Software
27 Downloads (Pure)

The Role of Benchmarking in Symbolic Computation: (Position Paper)

Davenport, J., 2018, Proceedings of the 20th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, SYNASC 2018. IEEE

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
File
2019

A UK Case Study on Cybersecurity Education and Accreditation

Davenport, J., Crick, T., Irons, A. & Prickett, T., 12 Jul 2019, (Accepted/In press) Frontiers in Education 2019. IEEE, (IEEE Frontiers in Education Conference).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
15 Downloads (Pure)

Intelligent Geometry Tools

Davenport, J., Fleuriot, J., Quaresma, P., Recio, T. & Wang, D., Aug 2019, Proceedings ARCADE 2019. EasyChair Publications

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
File
5 Downloads (Pure)

On Benefits of Equality Constraints in Lex-Least Invariant CAD (Extended Abstract

Nair, A. S., Davenport, J. & Sankaran, G., Sep 2019, Proceedings SC2 2019. 8 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

File

Teaching of computing to mathematics students: Programming and discrete mathematics

Betteridge, J., Davenport, J. H., Freitag, M., Heijtljes, W., Kynaston, S., Sankaran, G. & Traustason, G., 9 Jan 2019, Proceedings of the 3rd Conference on Computing Education Practice, CEP 2019. Association for Computing Machinery, 12

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)
29 Downloads (Pure)

The Institute of Coding: Addressing the UK Digital Skills Crisis

Davenport, J., Hourizi, R., Hayes, A. & Crick, T., 2019, Proceedings - 3rd Conference on Computing Education Practice, CEP 2019. Association for Computing Machinery, 4 p. (ACM International Conference Proceeding Series).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
File