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1

Stability Criteria for Implicit Runge–Kutta Methods

Burrage, Kevin, Butcher, J. C.

Journal:

SIAM Journal on Numerical Analysis

Year:

1979

Language:

english

File:

PDF, 1.03 MB

english, 1979

2

A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation

Zeng, Fanhai, Liu, Fawang, Li, Changpin, Burrage, Kevin, Turner, Ian, Anh, V.

Journal:

SIAM Journal on Numerical Analysis

Year:

2014

Language:

english

File:

PDF, 2.64 MB

english, 2014

3

A special family of Runge-Kutta methods for solving stiff differential equations

Journal:

BIT Numerical Mathematics

Year:

1978

Language:

english

File:

PDF, 843 KB

english, 1978

4

Non-linear stability of a general class of differential equation methods

Kevin Burrage, J. C. Butcher

Journal:

BIT Numerical Mathematics

Year:

1980

Language:

english

File:

PDF, 882 KB

english, 1980

5

Multiscale Modeling of Chemical Kinetics via the Master Equation

MacNamara, Shev, Burrage, Kevin, Sidje, Roger B.

Journal:

Multiscale Modeling and Simulation

Year:

2008

Language:

english

File:

PDF, 1.29 MB

english, 2008

6

Fourier spectral methods for fractional-in-space reaction-diffusion equations

Bueno-Orovio, Alfonso, Kay, David, Burrage, Kevin

Journal:

BIT Numerical Mathematics

Year:

2014

Language:

english

File:

PDF, 2.60 MB

english, 2014

7

High order algebraically stable Runge-Kutta methods

Journal:

BIT Numerical Mathematics

Year:

1978

Language:

english

File:

PDF, 422 KB

english, 1978

8

Numerical solution of the time fractional reaction–diffusion equation with a moving boundary

Zheng, Minling, Liu, Fawang, Liu, Qingxia, Burrage, Kevin, Simpson, Matthew J.

Journal:

Journal of Computational Physics

Year:

2017

Language:

english

File:

PDF, 476 KB

english, 2017

9

A space-fractional-reaction-diffusion model for pattern formation in coral reefs

Somathilake, Lekam Watte, Burrage, Kevin, Rogovchenko, Yuriy

Journal:

Cogent Mathematics & Statistics

Year:

2018

Language:

english

File:

PDF, 2.12 MB

english, 2018

10

Interaction of gold nanosurfaces/nanoparticles with collagen-like peptides

Tang, Ming, Gandhi, Neha S., Burrage, Kevin, Gu, YuanTong

Journal:

Physical Chemistry Chemical Physics

Year:

2019

Language:

english

File:

PDF, 2.57 MB

english, 2019

11

Order and stability properties of explicit multivalue methods

Journal:

Applied Numerical Mathematics

Year:

1985

Language:

english

File:

PDF, 1.54 MB

english, 1985

12

The error behaviour of a general class of predictorndash;corrector methods

Journal:

Applied Numerical Mathematics

Year:

1991

Language:

english

File:

PDF, 1.04 MB

english, 1991

13

Parallel methods for initial value problems

Journal:

Applied Numerical Mathematics

Year:

1993

Language:

english

File:

PDF, 1.78 MB

english, 1993

14

Restarted GMRES preconditioned by deflation

Jocelyne Erhel, Kevin Burrage, Bert Pohl

Journal:

Journal of Computational and Applied Mathematics

Year:

1996

Language:

english

File:

PDF, 731 KB

english, 1996

15

Opportunistic timing and manipulation in Australian Federal Elections

Dharma Lesmono, Elliot Tonkes, Kevin Burrage

Journal:

European Journal of Operational Research

Year:

2009

Language:

english

File:

PDF, 1.90 MB

english, 2009

16

Stochastic delay differential equations for genetic regulatory networks

Tianhai Tian, Kevin Burrage, Pamela M. Burrage, Margherita Carletti

Journal:

Journal of Computational and Applied Mathematics

Year:

2007

Language:

english

File:

PDF, 304 KB

english, 2007

17

Special issue on evolutionary problems

Christopher T.H. Baker, Kevin Burrage, Neville J. Ford

Journal:

Journal of Computational and Applied Mathematics

Year:

2007

Language:

english

File:

PDF, 84 KB

english, 2007

18

A genetic estimation algorithm for parameters of stochastic ordinary differential equations

Jamie Alcock, Kevin Burrage

Journal:

Computational Statistics & Data Analysis

Year:

2004

Language:

english

File:

PDF, 381 KB

english, 2004

19

Stiffly accurate Runge–Kutta methods for stiff stochastic differential equations

Kevin Burrage, Tianhai Tian

Journal:

Computer Physics Communications

Year:

2001

Language:

english

File:

PDF, 68 KB

english, 2001

20

Simplifying assumptions for the order of partitioned multivalue methods

Kevin Burrage, Pamela Moss

Journal:

BIT Numerical Mathematics

Year:

1980

Language:

english

File:

PDF, 586 KB

english, 1980

21

The search for the Holy Grail, or: predictor-corrector methods for solving OD3IVPs

Journal:

Applied Numerical Mathematics

Year:

1993

Language:

english

File:

PDF, 1.23 MB

english, 1993

22

Efficient block predictor-corrector methods with a small number of corrections

Journal:

Journal of Computational and Applied Mathematics

Year:

1993

Language:

english

File:

PDF, 901 KB

english, 1993

23

New Multivalue Methods for Differential Algebraic Equations

Minnie Kerr, Kevin Burrage

Journal:

Numerical Algorithms

Year:

2002

Language:

english

File:

PDF, 169 KB

english, 2002

24

Using complex network metrics to predict the persistence of metapopulations with asymmetric connectivity patterns

Michael Bode, Kevin Burrage, Hugh P. Possingham

Journal:

Ecological Modelling

Year:

2008

Language:

english

File:

PDF, 536 KB

english, 2008

25

On Order Reduction for Runge–Kutta Methods Applied to Differential/Algebraic Systems and to Stiff Systems of ODEs

Burrage, Kevin, Petzold, Linda

Journal:

SIAM Journal on Numerical Analysis

Year:

1990

Language:

english

File:

PDF, 940 KB

english, 1990

26

Efficiently Implementable Algebraically Stable Runge–Kutta Methods

Journal:

SIAM Journal on Numerical Analysis

Year:

1982

Language:

english

File:

PDF, 1.04 MB

english, 1982

27

Predictor-Corrector Methods of Runge--Kutta Type for Stochastic Differential Equations

Burrage, Kevin, Tian, Tianhai

Journal:

SIAM Journal on Numerical Analysis

Year:

2002

Language:

english

File:

PDF, 316 KB

english, 2002

28

Sources of Anomalous Diffusion on Cell Membranes: A Monte Carlo Study

Nicolau, Dan V., Hancock, John F., Burrage, Kevin

Journal:

Biophysical Journal

Year:

2007

Language:

english

File:

PDF, 790 KB

english, 2007

29

Oscillatory Regulation of Hes1: Discrete Stochastic Delay Modelling and Simulation

Barrio, Manuel, Burrage, Kevin, Leier, André, Tian, Tianhai

Journal:

PLoS Computational Biology

Year:

2006

Language:

english

File:

PDF, 896 KB

english, 2006

30

Stability Criteria for Implicit Runge-Kutta Methods

Kevin Burrage and J. C. Butcher

Journal:

SIAM Journal on Numerical Analysis

Year:

1979

Language:

english

File:

PDF, 903 KB

english, 1979

31

Accurate stationary densities with partitioned numerical methods for stochastic partial differential equations

Burrage, Kevin, Lythe, Grant

Journal:

Stochastic Partial Differential Equations: Analysis and Computations

Year:

2014

Language:

english

File:

PDF, 893 KB

english, 2014

32

[IEEE Distributed Methods in Verification and 2nd Intl Wkshp on High Performance Computational Systems Biology (PDMC-HiBi) - Enschede, TBD, Netherlands (2010.09.30-2010.10.1)] 2010 Ninth International Workshop on Parallel and Distributed Methods in Verification, and Second International Workshop on High Performance Computational Systems Biology - Fast Parallel Markov Clustering in Bioinformatics Using Massively Parallel Graphics Processing Unit Computing

Bustamam, Alhadi, Burrage, Kevin, Hamilton, Nicholas A.

Year:

2010

Language:

english

File:

PDF, 912 KB

english, 2010

33

Fast stochastic simulation of biochemical reaction systems by alternative formulations of the chemical Langevin equation

Mélykúti, Bence, Burrage, Kevin, Zygalakis, Konstantinos C.

Journal:

The Journal of Chemical Physics

Year:

2010

Language:

english

File:

PDF, 425 KB

english, 2010

34

AIP Conference Proceedings [AIP ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010 - Rhodes (Greece) (19–25 September 2009)] - Explicit Stochastic Runge-Kutta Methods with Large Stability Regions

Burrage, Kevin, Komori, Yoshio, Simos, Theodore E., Psihoyios, George, Tsitouras, Ch.

Year:

2010

Language:

english

File:

PDF, 402 KB

english, 2010

35

Stochastic chemical kinetics and the total quasi-steady-state assumption: Application to the stochastic simulation algorithm and chemical master equation

MacNamara, Shev, Bersani, Alberto M., Burrage, Kevin, Sidje, Roger B.

Journal:

The Journal of Chemical Physics

Year:

2008

Language:

english

File:

PDF, 616 KB

english, 2008

36

Mathematical modelling of gas production and compositional shift of a CSG (coal seam gas) field: Local model development

Psaltis, Steven, Farrell, Troy, Burrage, Kevin, Burrage, Pamela, McCabe, Peter, Moroney, Timothy, Turner, Ian, Mazumder, Saikat

Journal:

Year:

2015

Language:

english

File:

PDF, 3.10 MB

english, 2015

37

Weak Second Order Explicit Exponential Runge--Kutta Methods for Stochastic Differential Equations

Komori, Yoshio, Cohen, David, Burrage, Kevin

Journal:

SIAM Journal on Scientific Computing

Year:

2017

Language:

english

File:

PDF, 1.34 MB

english, 2017

38

Isolating the impact of rock properties and operational settings on minerals processing performance: A data-driven approach

Suriadi, Suriadi, Leemans, Sander J.J., Carrasco, Cristián, Keeney, Luke, Walters, Patrick, Burrage, Kevin, ter Hofstede, Arthur H.M., Wynn, Moe T.

Journal:

Minerals Engineering

Year:

2018

Language:

english

File:

PDF, 2.73 MB

english, 2018

39

High effective time-dependent THz spectroscopy method for the detection and identification of substances with inhomogeneous surface

Trofimov, Vyacheslav A., Varentsova, Svetlana A., Burrage, Kevin

Journal:

Year:

2018

Language:

english

File:

PDF, 5.07 MB

english, 2018

40

Efficient Multistep Methods for Tempered Fractional Calculus: Algorithms and Simulations

Guo, Ling, Zeng, Fanhai, Turner, Ian, Burrage, Kevin, Karniadakis, George Em

Journal:

SIAM Journal on Scientific Computing

Year:

2019

File:

PDF, 1.60 MB

2019

41

Designing combination therapies using multiple optimal controls

Sharp, Jesse A., Browning, Alexander P., Mapder, Tarunendu, Baker, Christopher M., Burrage, Kevin, Simpson, Matthew J.

Journal:

Journal of Theoretical Biology

Year:

2020

File:

PDF, 1.62 MB

2020

42

An investigation of nonlinear time-fractional anomalous diffusion models for simulating transport processes in heterogeneous binary media

Feng, Libo, Turner, Ian, PerrÃ©, Patrick, Burrage, Kevin

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2020

File:

PDF, 3.60 MB

2020

43

The reflectionless properties of Toeplitz waves and Hankel waves: An analysis via Bessel functions

Burrage, Kevin, Burrage, Pamela, MacNamara, Shev

Journal:

Applied Mathematics and Computation

Year:

2021

File:

PDF, 734 KB

2021

44

Persistence as an optimal hedging strategy

Browning, Alexander P., Sharp, Jesse A., Mapder, Tarunendu, Baker, Christopher M., Burrage, Kevin, Simpson, Matthew J.

Journal:

Biophysical Journal

Year:

2020

File:

PDF, 5.90 MB

2020

45

On the performance of various adaptive preconditioned GMRES strategies

Kevin Burrage, Jocelyne Erhel

Journal:

Numerical Linear Algebra with Applications

Year:

1998

Language:

english

File:

PDF, 172 KB

english, 1998

46

A high accuracy defect-correction multigrid method for the steady incompressible Navier-Stokes equations

Irfan Altas, Kevin Burrage

Journal:

Journal of Computational Physics

Year:

1994

Language:

english

File:

PDF, 487 KB

english, 1994

47

The dichotomy of stiffness: pragmatism versus theory

Journal:

Applied Mathematics and Computation

Year:

1989

Language:

english

File:

PDF, 1.62 MB

english, 1989

48

An adaptive numerical integration code for a chain of transputers

Journal:

Parallel Computing

Year:

1990

Language:

english

File:

PDF, 469 KB

english, 1990

49

On the performance of parallel waveform relaxations for differential systems

Kevin Burrage, Carolyn Dyke, Bert Pohl

Journal:

Applied Numerical Mathematics

Year:

1996

Language:

english

File:

PDF, 1021 KB

english, 1996

50

On smoothing and order reduction effects for implicit Runge-Kutta formulae

Kevin Burrage, R.P.K. Chan

Journal:

Journal of Computational and Applied Mathematics

Year:

1993

Language:

english

File:

PDF, 772 KB

english, 1993