Department of Mathematical Sciences

Research Output 1976 2020

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2019
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Fractional De Giorgi classes and applications to nonlocal regularity theory

Cozzi, M., 13 Jul 2019, Contemporary Research in Elliptic PDEs and Related Topics. Cham, Switzerland: Springer International Publishing, p. 277-299 23 p. (Springer INdAM (SINDHAMS) Series; vol. 33).

Research output: Chapter in Book/Report/Conference proceedingChapter

Open Access
File

Tensor Product Approach to Quantum Control

Quiñones-Valles, D., Dolgov, S. & Savostyanov, D., 19 Jul 2019, Integral Methods in Science and Engineering: Analytic Treatment and Numerical Approximations. Constanda, C. & Harris, P. (eds.). Springer International Publishing, p. 367-379 13 p. Chapter 29

Research output: Chapter in Book/Report/Conference proceedingChapter

2018
2 Citations (Scopus)

A two-level domain-decomposition preconditioner for the time-harmonic maxwell’s equations

Bonazzoli, M., Dolean, V., Graham, I. G., Spence, E. A. & Tournier, P. H., 1 Jan 2018, Domain Decomposition Methods in Science and Engineering XXIV. DD 2017. Bjorstad, P. (ed.). Cham, Switzerland: Springer Verlag, p. 149-157 9 p. (Lecture Notes in Computational Science and Engineering; vol. 125).

Research output: Chapter in Book/Report/Conference proceedingChapter

Long range forces in a performance portable Molecular Dynamics framework

Saunders, W., Grant, J. & Müller, E., Mar 2018, Parallel Computing is Everywhere: Proceedings of the ParCo2017 Parallel Computing Conference. Bassini, S., Danelutto, M., Dazzi, P., Joubert, G. R. & Peters, F. (eds.). IOS Press, Vol. 32. p. 37 - 46 9 p. (Advances in Parallel Computing; vol. 32).

Research output: Chapter in Book/Report/Conference proceedingChapter

Molecular dynamics
Hardware
Electrostatic force
Charged particles
Coulomb interactions
2 Citations (Scopus)

Modern Monte Carlo variants for uncertainty quantification in neutron transport

Graham, I. G., Parkinson, M. J. & Scheichl, R., 23 May 2018, Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan. Springer International Publishing, p. 455-481 27 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)

Stochastic and Deterministic Modelling of Cell Migration

Gavagnin, E. & Yates, C., 19 Jul 2018, Integrated Population Biology and Modeling. Rao, A. S. R. & Srinivasa, R. C. R. (eds.). Elsevier, p. 37-91 55 p. (Handbook of Statistics ; vol. 39).

Research output: Chapter in Book/Report/Conference proceedingChapter

Cell Migration
Cell
Modeling
Agent-based Model
Continuum
3 Citations (Scopus)

Two-level preconditioners for the helmholtz equation

Bonazzoli, M., Dolean, V., Graham, I. G., Spence, E. A. & Tournier, P. H., 1 Jan 2018, Domain Decomposition Methods in Science and Engineering XXIV. DD 2017. Bjorstad, P. (ed.). Cham, Switzerland: Springer Verlag, p. 139-147 9 p. (Lecture Notes in Computational Science and Engineering; vol. 125).

Research output: Chapter in Book/Report/Conference proceedingChapter

2017

Characterizing tipping in a stochastic reduced stommel-type model in higher-dimensions

Budd, C., Glendinning, P., Hill, K. & Kuske, R., 2017, Extended Abstracts Spring 2016: Non Smooth Dynamics. Columbo, A., Jeffrey, M. R., Lazaro, J. T. & Olm, J. M. (eds.). Birkhauser, p. 25-29 5 p. (Trends in Mathematics; vol. 8).

Research output: Chapter in Book/Report/Conference proceedingChapter

Higher Dimensions
Climate Modeling
Model
Climate Models
Conceptual Model
1 Citation (Scopus)

Customized coarse models for highly heterogeneous materials

Dodwell, T. J., Sandhu, A. & Scheichl, R., 2017, Bifurcation and Degradation of Geomaterials with Engineering Applications. IWBDG 2017. Papamichos, E., Papanastasiou, P., Pasternak, E. & Dyskin, A. (eds.). Springer, p. 577-584 8 p. (Springer Series in Geomechanics and Geoengineering).

Research output: Chapter in Book/Report/Conference proceedingChapter

subsurface flow
Homogenization method
methodology
eigenvalue
engineering

Eight great reasons to do mathematics

Budd, C., 2017, Recent Progress and Modern Challenges in Applied Mathematics, Modeling and Computational Science. . Melnik, R., Makarov, R. & Belair, J. (eds.). New York, U. S. A.: Springer New York, p. 245-262 18 p. (Fields Institute Communications; vol. 79).

Research output: Chapter in Book/Report/Conference proceedingChapter

Energy
Vary
Government
Heart
Review

Non-smooth hopf-type and grazing bifurcations arising from impact/friction contact events

Mora, K. & Budd, C., 2017, Extended Abstracts Spring 2016: Non Smooth Dynamics. Columbo, A., Jeffrey, M. R., Lazaro, J. T. & Olm, J. M. (eds.). Birkhäuser, p. 129-134 6 p. (Trends in Mathematics; vol. 8).

Research output: Chapter in Book/Report/Conference proceedingChapter

Grazing Bifurcation
Friction
Bifurcation
Contact
Magnetic Bearing

Notes on transformations in integrable geometry

Burstall, F., 23 Oct 2017, Special Metrics and Group Actions in Geometry: SINDAMS, volume 23. Springer, p. 59-80

Research output: Chapter in Book/Report/Conference proceedingChapter

Gauss Curvature
Negative Curvature
Gauge

On the geometric interplay between goodness-of-fit and estimation: Illustrative examples

Anaya-Izquierdo, K., Marriott, P., Vos, P. & Critchley, F., 2017, Computational Information Geometry : For Image and Signal Processing. Nielsen, F., Dodson, K. & Critchley, F. (eds.). Springer, p. 63-77 (Signals and Communication Technology).

Research output: Chapter in Book/Report/Conference proceedingChapter

Goodness of fit
Maximum Entropy Method
Information Geometry
Population parameter
Geometric Analysis

Recent results on domain decomposition preconditioning for the high-frequency Helmholtz equation using absorption

Graham, I., Spence, E. & Vainikko, E., 18 Feb 2017, Modern Solvers for Helmholtz Problems. Lahaye, D., Tang, J. & Vuik, K. (eds.). Basel, Germany: Birkhäuser, (Geosystems Mathematics).

Research output: Chapter in Book/Report/Conference proceedingChapter

Helmholtz equation
Decomposition
Wavelength
Pollution
Experiments

Religion, radicalization and the causes of terrorism

Mills, T. & Miller, D., 1 Jan 2017, The Cambridge Companion to Religion and Terrorism. Lewis, J. R. (ed.). Cambridge, U. K.: Cambridge University Press, p. 46-68 23 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Religion
Radicalization
Terrorism
Causes
Muslims

Towards the geometry of model sensitivity: an Illustration

Anaya-Izquierdo, K., Critchley, F., Marriott, P. & Vos, P., 2017, Computational Information Geometry : For Image and Signal Processing. Nielsen, F., Dodson, K. & Critchley, F. (eds.). Springer, p. 33-62 (Signals and Communication Technology).

Research output: Chapter in Book/Report/Conference proceedingChapter

Information Geometry
Computational Geometry
Perturbation
Uncertainty
Model
2016

Continuum limits of discrete models via Γ-convergence

Scardia, L., 2016, Macroscopic and large scale phenomena: coarse graining, mean field limits and ergodicity. Muntean, A., Rademacher, J. D. & Zagaris, A. (eds.). Germany: Springer, Vol. 3. p. 145-186 43 p. (Lecture Notes in Applied Mathematics and Mechanics; vol. 3).

Research output: Chapter in Book/Report/Conference proceedingChapter

Ecological Modeling: General Issues

Wakefield, J. C. & Smith, T. R., 4 Apr 2016, Handbook of Spatial Epidemiology. Lawson, A., Banerjee, S., Haining, R. & Ugarte, M. D. (eds.). Boca Raton, U. S. A.: CRC Press, p. 99-118 (Chapman & Hall/CRC Handbooks of Modern Statistical Methods).

Research output: Chapter in Book/Report/Conference proceedingChapter

Homogeneous lie groups

Fischer, V. & Ruzhansky, M., Mar 2016, Quantization on Nilpotent Lie Groups. Birkhäuser, p. 91-170 80 p. (Progress in Mathematics; vol. 314).

Research output: Chapter in Book/Report/Conference proceedingChapter

Open Access
Homogeneous Groups
Euclidean
Harmonic Analysis
Dilation
One to many

Improving weather forecasting accuracy by using r-adaptive methods coupled to data assimilation algorithms

Budd, C., Cullen, M. & Piccolo, C., 1 Jan 2016, UK Success Stories in Industrial Mathematics. Aston, P. J., Mulholland, A. J. & Tant, K. M. M. (eds.). Springer International Publishing, p. 11-18 8 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Data Assimilation
Adaptive Method
Weather
Forecast
Forecasting

Preliminaries on lie groups

Fischer, V. & Ruzhansky, M., Mar 2016, Quantization on Nilpotent Lie Groups. Birkhäuser, p. 15-56 42 p. (Progress in Mathematics; vol. 314).

Research output: Chapter in Book/Report/Conference proceedingChapter

Open Access
Notation

Pseudo-differential operators on the Heisenberg group

Fischer, V. & Ruzhansky, M., Mar 2016, Quantization on Nilpotent Lie Groups. Birkhäuser, p. 427-489 63 p. (Progress in Mathematics; vol. 314).

Research output: Chapter in Book/Report/Conference proceedingChapter

Open Access
Heisenberg Group
Pseudodifferential Operators
Line
12 Citations (Scopus)

Quantization on compact lie groups

Fischer, V. & Ruzhansky, M., Mar 2016, Quantization on Nilpotent Lie Groups. Birkhäuser, p. 57-90 34 p. (Progress in Mathematics; vol. 314).

Research output: Chapter in Book/Report/Conference proceedingChapter

Open Access
Compact Lie Group
Quantization
Nilpotent Group
Operator
Irreducible Representation
8 Citations (Scopus)

Quantization on graded lie groups

Fischer, V. & Ruzhansky, M., 1 Jan 2016, Quantization on Nilpotent Lie Groups. Basel, Switzerland: Birkhäuser, p. 271-426 156 p. (Progress in Mathematics; vol. 314).

Research output: Chapter in Book/Report/Conference proceedingChapter

Open Access
Quantization
Line

Rockland operators and Sobolev spaces

Fischer, V. & Ruzhansky, M., Mar 2016, Quantization on Nilpotent Lie Groups. Birkhäuser, p. 171-269 99 p. (Progress in Mathematics; vol. 314).

Research output: Chapter in Book/Report/Conference proceedingChapter

Open Access
Operator Space
Sobolev Spaces
Line
2015
4 Citations (Scopus)

Corrected one-site density matrix renormalization group and alternating minimal energy algorithm

Dolgov, S. V. & Savostyanov, D. V., 1 Jan 2015, Numerical Mathematics and Advanced Applications - ENUMATH 2013. Abdulle, A., Deparis, S., Kressner, D., Nobile, F. & Picasso, M. (eds.). Cham, Switzerland: Springer International Publishing, p. 335-343 9 p. (Lecture Notes in Computational Science and Engineering; vol. 103).

Research output: Chapter in Book/Report/Conference proceedingChapter

29 Downloads (Pure)

Dialect Switching and Mathematical Reasoning Tests: Implications for Early Educational Achievement

Terry, J. M., Hendrick, R., Evangelou, E. & Smith, R. L., 2015, The Oxford Handbook of African American Language. Lanehart, S. (ed.). Oxford University Press, p. 637-658 (Oxford Handbooks).

Research output: Chapter in Book/Report/Conference proceedingChapter

Open Access
File
69 Downloads (Pure)

Empirical Bayes methods for the transformed Gaussian random field model with additive measurement errors

Roy, V., Evangelou, E. & Zhu, Z., 2015, Current Trends in Bayesian Methodology with Applications. Upadhyay, S. K., Singh, U., Dey, D. K. & Loganathan, A. (eds.). Chapman & Hall, p. 521-536

Research output: Chapter in Book/Report/Conference proceedingChapter

File
3 Citations (Scopus)

Gradient theory for geometrically nonlinear plasticity via the homogenization of dislocations

Müller, S., Scardia, L. & Zeppieri, C. I., 31 May 2015, Analysis and Computation of Microstructure in Finite Plasticity . Conti, S. & Hackl, K. (eds.). Switzerland : Springer, p. 175-204 30 p. ( Lecture Notes in Applied and Computational Mechanics; vol. 78).

Research output: Chapter in Book/Report/Conference proceedingChapter

Dislocation
Homogenization
Plasticity
Gradient
Energy

Impact of Phase 2b strategies on optimization of drug development programs

Jennison, C., Antonijevic, Z., Bolognese, J., Burman, C-F., Chuang-Stein, C., Kimber, M., Marchenko, O., Patel, N. & Pinheiro, J., 2015, Optimization of Pharmaceutical R&D Programs and Portfolios: Design and Investment Strategy. Heidelberg: Springer, p. 83-103

Research output: Chapter in Book/Report/Conference proceedingChapter

Modelling and prediction of time series arising on a graph

Nunes, M., Knight, M. & Nason, G. P., 1 Jun 2015, Modeling and Stochastic Learning for Forecasting in High Dimensions. Antoniadis, A., Poggi, J-M. & Brossat, X. (eds.). Cham, Switzerland: Springer International Publishing, p. 183-192 10 p. (Lecture Notes in Statistics; vol. 217).

Research output: Chapter in Book/Report/Conference proceedingChapter

Optimal Design for Spatial Models

Zhu, Z. & Evangelou, E., 2015, Handbook of Design and Analysis of Experiments. Dean, A., Morris, M., Stufken, J. & Bingham, D. (eds.). Chapman & Hall, p. 549-573 (Handbooks of Modern Statistical Methods).

Research output: Chapter in Book/Report/Conference proceedingChapter

Overview of Variational Formulations for Linear Elliptic PDEs

Spence, E., 2015, Unified Transform for Boundary Value Problems: Applications and Advances. Pelloni, B. & Fokas, A. (eds.). SIAM, p. 93-160

Research output: Chapter in Book/Report/Conference proceedingChapter

pulse detonation engines
formulations
finite element method

Political psychology

Haste, H., Jones, J. & Monroe, K., 3 Jul 2015, Routledge Handbook of Interpretive Political Science. Taylor and Francis, p. 309-323 15 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Singular perturbation problems involving curvature

Moser, R., 2015, Differential Geometry and Continuum Mechanics. Chen, G-Q., Grinfeld, M. & Knops, R. J. (eds.). Springer, p. 49-75 (Springer Proceedings in Mathematics & Statistics; vol. 137).

Research output: Chapter in Book/Report/Conference proceedingChapter

Singular Perturbation Problems
Crystal
Limiting
Curvature
Cartesian plane
2 Citations (Scopus)
36 Downloads (Pure)

Solving the Klein-Gordon equation using Fourier spectral methods: a benchmark test for computer performance

Aseeri, S., Batrašev, O., Icardi, M., Leu, B., Liu, A., Li, N., Muite, B. K., Müller, E., Palen, B., Quell, M., Servat, H., Sheth, P., Speck, R., Moer, M. V. & Vienne, J., 12 Apr 2015, HPC '15 Proceedings of the Symposium on High Performance Computing . San Diego, U. S. A.: Society for Computer Simulation International , p. 182-191 10 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

File
Fourier Method
Klein-Gordon Equation
Spectral Methods
Benchmark
Partial differential equation

Transform Methods for Linear PDEs

Spence, E., 2015, Encyclopedia of Applied and Computational Mathematics. Engquist, B. (ed.). Springer, p. 1496-1500

Research output: Chapter in Book/Report/Conference proceedingChapter

2014

Achieving robustness through coarse space enrichment in the two level Schwarz framework

Spillane, N., Dolean, V., Hauret, P., Nataf, F., Pechstein, C. & Scheichl, R., 21 Apr 2014, Domain Decomposition Methods in Science and Engineering XXI : Lecture Notes in Computational Science and Engineering. Erhel, J., Gander, M. J., Halpern, L., Pichot, G., Sassi, T. & Widlund, O. (eds.). Springer, Vol. 98. p. 447-455 10 p. (Lecture Notes in Computational Science and Engineering; vol. 98).

Research output: Chapter in Book/Report/Conference proceedingChapter

Mathematical Transformations

Waurick, M., McGhee, D., Picard, R. & Trostorff, S., 2014, Mathematical Tools for Physicists.

Research output: Chapter in Book/Report/Conference proceedingChapter

Partial Differential Equations

Waurick, M., Picard, R., Trostorff, S. & McGhee, D., Nov 2014, Mathematical Tools for Physicists. Grinfeld, M. (ed.). 2nd ed.

Research output: Chapter in Book/Report/Conference proceedingChapter

2 Citations (Scopus)
71 Downloads (Pure)

Potentials of stable processes

Kyprianou, A. & Watson, A. R., 30 Oct 2014, Seminaire de Probabilites XLV1. Donati-Martin, C., Lejay, A. & Roualt, A. (eds.). Switzerland: Springer, p. 333 - 344 12 p. (Seminaire de Probabilites; vol. 2123).

Research output: Chapter in Book/Report/Conference proceedingChapter

Open Access
File
Stable Process
Exit Problem
Interval
Overshoot
Explicit Formula
3 Citations (Scopus)
65 Downloads (Pure)

The backbone decomposition for spatially dependent supercritical superprocesses

Kyprianou, A., Pérez, J-L. & Ren, Y. X., 30 Oct 2014, Seminaire de Probabilites XLVI. Donati-Martin, C., LeJay, A. & Rouault, A. (eds.). Switzerland: Springer, p. 33 - 59 27 p. (Lecture Notes in Mathematics; vol. 2123).

Research output: Chapter in Book/Report/Conference proceedingChapter

Open Access
File
Superprocess
Backbone
Galton-Watson Process
Decompose
Dependent
2013
9 Citations (Scopus)
81 Downloads (Pure)

A spatial preferential attachment model with local clustering

Morters, P. & Jacob, E., 2013, Algorithms and Models for the Web Graph.: Proceedings of the 10th International Workshop, WAW 2013, Cambridge, MA, USA.. Springer, Vol. 8305. p. 14-25 (Lecture Notes in Computer Science).

Research output: Chapter in Book/Report/Conference proceedingChapter

File
1 Citation (Scopus)

Computational information geometry in statistics: mixture modelling

Anaya-Izquierdo, K., Critchley, F., Marriott, P. & Vos, P., 2013, Geometric Science of Information: First International Conference, GSI 2013, Paris, France, August 28-30, 2013. Proceedings. Nielsen, F. & Barbaresco, F. (eds.). Berlin, Germany: Springer, Vol. IX. p. 319-326 8 p. (Lecture Notes in Computer Science; vol. 8085).

Research output: Chapter in Book/Report/Conference proceedingChapter

Information Geometry
Mixture Modeling
Statistical Modeling
Computational Geometry
High-dimensional
4 Citations (Scopus)

Computational information geometry in statistics: foundations

Anaya-Izquierdo, K., Critchley, F., Marriott, P. & Vos, P., 2013, Geometric Science of Information: First International Conference, Gsi 2013, Paris, France, August 28-30, 2013, Proceedings . Nielsen, F. & Barbaresco, F. (eds.). Berlin, Germany: Springer, Vol. Part IX. p. 311-318 8 p. (Lecture Notes in Computer Science; vol. 8085).

Research output: Chapter in Book/Report/Conference proceedingChapter

Statistics
Geometry

Destruction and diversity: Effects of habitat loss on ecological communities

Britton, N. F., 2013, Dispersal, Individual Movement and Spatial Ecology: A Mathematical Perspective. Lewis, M. A., Maini, P. K. & Petrovskii, S. V. (eds.). Berlin: Springer, p. 307-330 24 p. (Lecture Notes in Mathematics; vol. 2071).

Research output: Chapter in Book/Report/Conference proceedingChapter

habitat loss
metapopulation
food web
ecosystem
predator

Moduli of K3 surfaces and irreducible symplectic manifolds

Gritsenko, V. A., Hulek, K. & Sankaran, G. K., 2013, Handbook of moduli: volume I. Farkas, G. & Morrison, I. (eds.). Somerville, Ma, USA: International Press, p. 459-526 68 p. (Advanced Lectures in Mathematics ; vol. 24).

Research output: Chapter in Book/Report/Conference proceedingChapter

6 Citations (Scopus)
78 Downloads (Pure)

New theoretical coefficient robustness results for FETI-DP

Pechstein, C., Sarkis, M. & Scheichl, R., 2013, Domain Decomposition Methods in Science and Engineering XX : Part II. Bank, R., Holst, M., Widlund, O. & Xu, J. (eds.). Berlin: Springer, p. 313-320 8 p. (Lecture Notes in Computational Science and Engineering ; vol. 91).

Research output: Chapter in Book/Report/Conference proceedingChapter

Open Access
File
2 Citations (Scopus)

Nilpotent Gelfand pairs and spherical transforms of Schwartz functions II: Taylor expansions on singular sets

Fischer, V., Ricci, F. & Yakimova, O., 1 Jan 2013, Lie Groups: Structure, Actions, and Representations: In Honor of Joseph A. Wolf on the Occasion of his 75th Birthday. Huckleberry, A., Penkov, I. & Zuckerman, G. (eds.). New York, U. S. A.: Birkhauser Boston, p. 81-112 32 p. (Progress in Mathematics; vol. 306).

Research output: Chapter in Book/Report/Conference proceedingChapter

Gelfand Pairs
Singular Set
Taylor Expansion
Transform
Invariant

Some path large-deviation results for a branching diffusion

Hardy, R. & Harris, S. C., 2013, Advances in Superprocesses and Nonlinear PDEs. Englander, J. & Rider, B. (eds.). New York: Springer, p. 61-91 (Springer Proceedings in Mathematics & Statistics; vol. 38).

Research output: Chapter in Book/Report/Conference proceedingChapter

Spine
Large Deviations
Branching
Path
Branching Brownian Motion