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1

Invariance of a Partial Differential Equation of Fractional Order under the Lie Group of Scaling Transformations

Evelyn Buckwar, Yuri Luchko

Journal:

Journal of Mathematical Analysis and Applications

Year:

1998

Language:

english

File:

PDF, 217 KB

english, 1998

2

Multistep methods for SDEs and their application to problems with small noise

Buckwar, Evelyn, Winkler, Renate

Journal:

SIAM Journal on Numerical Analysis

Year:

2006

Language:

english

File:

PDF, 297 KB

english, 2006

3

Improved linear multi-step methods for stochastic ordinary differential equations

Evelyn Buckwar, Renate Winkler

Journal:

Journal of Computational and Applied Mathematics

Year:

2007

Language:

english

File:

PDF, 234 KB

english, 2007

4

Introduction to the numerical analysis of stochastic delay differential equations

Journal:

Journal of Computational and Applied Mathematics

Year:

2000

Language:

english

File:

PDF, 194 KB

english, 2000

5

Runge–Kutta methods for jump–diffusion differential equations

Evelyn Buckwar, Martin G. Riedler

Journal:

Journal of Computational and Applied Mathematics

Year:

2011

Language:

english

File:

PDF, 556 KB

english, 2011

6

Asymptotic and Transient Mean-Square Properties of Stochastic Systems Arising in Ecology, Fluid Dynamics, and System Control

Buckwar, Evelyn, Kelly, Cónall

Journal:

SIAM Journal on Applied Mathematics

Year:

2014

Language:

english

File:

PDF, 2.07 MB

english, 2014

7

NOISE-SENSITIVITY IN MACHINE TOOL VIBRATIONS

BUCKWAR, E., KUSKE, R., L'ESPERANCE, B., SOO, T.

Journal:

International Journal of Bifurcation and Chaos

Year:

2006

Language:

english

File:

PDF, 396 KB

english, 2006

8

Multistep Methods for SDEs and Their Application to Problems with Small Noise

Evelyn Buckwar and Renate Winkler

Journal:

SIAM Journal on Numerical Analysis

Year:

2006

Language:

english

File:

PDF, 1.94 MB

english, 2006

9

An importance sampling technique in Monte Carlo methods for SDEs with a.s. stable and mean-square unstable equilibrium

Ableidinger, M., Buckwar, E., Thalhammer, A.

Journal:

Journal of Computational and Applied Mathematics

Year:

2016

Language:

english

File:

PDF, 335 KB

english, 2016

10

Existence and uniqueness of solutions of Abel integral equations with power-law non-linearities

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2005

Language:

english

File:

PDF, 190 KB

english, 2005

11

Exponential stability in p-th mean of solutions, and of convergent Euler-type solutions, of stochastic delay differential equations

Christopher T.H. Baker, Evelyn Buckwar

Journal:

Journal of Computational and Applied Mathematics

Year:

2005

Language:

english

File:

PDF, 329 KB

english, 2005

12

A comparative linear mean-square stability analysis of Maruyama- and Milstein-type methods

Evelyn Buckwar, Thorsten Sickenberger

Journal:

Mathematics and Computers in Simulation

Year:

2011

Language:

english

File:

PDF, 861 KB

english, 2011

13

On Two-step Schemes for SDEs with Small Noise

Evelyn Buckwar, Renate Winkler

Journal:

Year:

2004

Language:

english

File:

PDF, 312 KB

english, 2004

14

Asymptotic mean-square stability of linear multi-step methods for SODEs

Evelyn Buckwar, Renate Winkler

Journal:

Year:

2006

Language:

english

File:

PDF, 97 KB

english, 2006

15

Improved linear multi-step methods for small noise SDEs

Evelyn Buckwar, Renate Winkler

Journal:

Year:

2006

Language:

english

File:

PDF, 106 KB

english, 2006

16

An exact stochastic hybrid model of excitable membranes including spatio-temporal evolution

Evelyn Buckwar, Martin G. Riedler

Journal:

Journal of Mathematical Biology

Year:

2011

Language:

english

File:

PDF, 523 KB

english, 2011

17

Asymptotic Mean-Square Stability of Two-Step Methods for Stochastic Ordinary Differential Equations

E. Buckwar, R. Horváth-Bokor, R. Winkler

Journal:

BIT Numerical Mathematics

Year:

2006

Language:

english

File:

PDF, 542 KB

english, 2006

18

A Constructive Comparison Technique for Determining the Asymptotic Behaviour of Linear Functional Differential Equations with Unbounded Delay

John A. D. Appleby, Evelyn Buckwar

Journal:

Differential Equations and Dynamical Systems

Year:

2010

Language:

english

File:

PDF, 320 KB

english, 2010

19

One-step approximations for stochastic functional differential equations

Journal:

Applied Numerical Mathematics

Year:

2006

Language:

english

File:

PDF, 172 KB

english, 2006

20

A structural analysis of asymptotic mean-square stability for multi-dimensional linear stochastic differential systems

Evelyn Buckwar, Thorsten Sickenberger

Journal:

Applied Numerical Mathematics

Year:

2012

Language:

english

File:

PDF, 546 KB

english, 2012

21

Towards a Systematic Linear Stability Analysis of Numerical Methods for Systems of Stochastic Differential Equations

Buckwar, Evelyn, Kelly, Cónall

Journal:

SIAM Journal on Numerical Analysis

Year:

2010

Language:

english

File:

PDF, 626 KB

english, 2010

22

Stochastic Runge–Kutta Methods for Itô SODEs with Small Noise

Buckwar, Evelyn, Rößler, Andreas, Winkler, Renate

Journal:

SIAM Journal on Scientific Computing

Year:

2010

Language:

english

File:

PDF, 1.05 MB

english, 2010

23

Non-normal drift structures and linear stability analysis of numerical methods for systems of stochastic differential equations

Buckwar, E., Kelly, C.

Journal:

Computers & Mathematics with Applications

Year:

2012

Language:

english

File:

PDF, 1.05 MB

english, 2012

24

Laws of Large Numbers and Langevin Approximations for Stochastic Neural Field Equations

Martin G Riedler, Evelyn Buckwar

Journal:

The Journal of Mathematical Neuroscience (JMN)

Year:

2013

Language:

english

File:

PDF, 591 KB

english, 2013

25

Stochastic Runge-Kutta methods with deterministic high order for ordinary differential equations

Komori, Yoshio, Buckwar, Evelyn

Journal:

BIT Numerical Mathematics

Year:

2013

Language:

english

File:

PDF, 900 KB

english, 2013

26

A note on the analysis of asymptotic mean-square stability properties for systems of linear stochastic delay differential equations

Buckwar, Evelyn, Notarangelo, Girolama

Journal:

Discrete and Continuous Dynamical Systems - Series B

Year:

2013

Language:

english

File:

PDF, 329 KB

english, 2013

27

Multi-Step Maruyama Methods for Stochastic Delay Differential Equations

Buckwar, Evelyn, Winkler, Renate

Journal:

Stochastic Analysis and Applications

Year:

2007

Language:

english

File:

PDF, 278 KB

english, 2007

28

ON HALANAY-TYPE ANALYSIS OF EXPONENTIAL STABILITY FOR THE θ-MARUYAMA METHOD FOR STOCHASTIC DELAY DIFFERENTIAL EQUATIONS

BAKER, CHRISTOPHER T. H., BUCKWAR, EVELYN

Journal:

Stochastics and Dynamics

Year:

2005

Language:

english

File:

PDF, 194 KB

english, 2005

29

THE NUMERICAL STABILITY OF STOCHASTIC ORDINARY DIFFERENTIAL EQUATIONS WITH ADDITIVE NOISE

BUCKWAR, E., RIEDLER, M. G., KLOEDEN, P. E.

Journal:

Stochastics and Dynamics

Year:

2011

Language:

english

File:

PDF, 230 KB

english, 2011

30

Numerical Analysis of Explicit One-Step Methods for Stochastic Delay Differential Equations

Baker, Christopher T. H., Buckwar, Evelyn

Journal:

LMS Journal of Computation and Mathematics

Year:

2000

Language:

english

File:

PDF, 192 KB

english, 2000

31

The ⊝-Maruyama scheme for stochastic functional differential equations with distributed memory term *

Buckwar, Evelyn

Journal:

Monte Carlo Methods and Applications

Year:

2004

File:

PDF, 211 KB

2004

32

Weak approximation of stochastic differential delay equations

Journal:

IMA Journal of Numerical Analysis

Year:

2005

Language:

english

File:

PDF, 345 KB

english, 2005

33

Numerical Solution of the Neural Field Equation in the Two-Dimensional Case

Lima, Pedro M., Buckwar, Evelyn

Journal:

SIAM Journal on Scientific Computing

Year:

2015

Language:

english

File:

PDF, 345 KB

english, 2015

34

[IEEE 2015 Second International Conference on Mathematics and Computers in Sciences and in Industry (MCSI) - Sliema, Malta (2015.8.17-2015.8.17)] 2015 Second International Conference on Mathematics and Computers in Sciences and in Industry (MCSI) - Numerical Investigation of the Two-Dimensioaln Neural Field Equation with Delay

Lima, Pedro M., Buckwar, Evelyn

Year:

2015

Language:

english

File:

PDF, 609 KB

english, 2015

35

Splitting Integrators for the Stochastic Landau--Lifshitz Equation

Ableidinger, M., Buckwar, E.

Journal:

SIAM Journal on Scientific Computing

Year:

2016

Language:

english

File:

PDF, 542 KB

english, 2016

36

Weak stochastic Runge–Kutta Munthe-Kaas methods for finite spin ensembles

Ableidinger, M., Buckwar, E.

Journal:

Applied Numerical Mathematics

Year:

2017

Language:

english

File:

PDF, 652 KB

english, 2017

37

Weak Convergence of the Euler Scheme for Stochastic Differential Delay Equations

Buckwar, Evelyn, Kuske, Rachel, Mohammed, Salah-Eldin, Shardlow, Tony

Journal:

LMS Journal of Computation and Mathematics

Year:

2008

Language:

english

File:

PDF, 475 KB

english, 2008

38

Corrigendum: On the use of a discrete form of the Itô formula in the article ‘Almost sure asymptotic stability analysis of the -Maruyama method applied to a test system with stabilising and destabilising stochastic perturbations’

Berkolaiko, Gregory, Buckwar, Evelyn, Kelly, Cónall, Rodkina, Alexandra

Journal:

LMS Journal of Computation and Mathematics

Year:

2013

Language:

english

File:

PDF, 242 KB

english, 2013

39

Editorial

Buckwar, Evelyn, Kritzer, Peter, Leobacher, Gunther, Pillichshammer, Friedrich, Winterhof, Arne

Journal:

Mathematics and Computers in Simulation

Year:

2018

Language:

english

File:

PDF, 135 KB

english, 2018

40

AIP Conference Proceedings [AIP NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics - Halkidiki, (Greece) (19–25 September 2011)] - Stochastic Runge-Kutta Methods with Deterministic High Order for Ordinary Differential Equations

Komori, Yoshio, Buckwar, Evelyn, Simos, Theodore E., Psihoyios, George, Tsitouras, Ch., Anastassi, Zacharias

Year:

2011

Language:

english

File:

PDF, 958 KB

english, 2011

41

Almost sure asymptotic stability analysis of the θ-Maruyama method applied to a test system with stabilising and destabilising stochastic perturbations

Berkolaiko, Gregory, Buckwar, Evelyn, Kelly, Cónall, Rodkina, Alexandra

Journal:

LMS Journal of Computation and Mathematics

Year:

2012

Language:

english

File:

PDF, 286 KB

english, 2012

42

A Stochastic Version of the Jansen and Rit Neural Mass Model: Analysis and Numerics

Ableidinger, Markus, Buckwar, Evelyn, Hinterleitner, Harald

Journal:

The Journal of Mathematical Neuroscience (JMN)

Year:

2017

Language:

english

File:

PDF, 2.71 MB

english, 2017

43

Spectral density-based and measure-preserving ABC for partially observed diffusion processes. An illustration on Hamiltonian SDEs

Buckwar, Evelyn, Tamborrino, Massimiliano, Tubikanec, Irene

Journal:

Statistics and Computing

Year:

2019

Language:

english

File:

PDF, 2.97 MB

english, 2019