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Author ID: buckwar.evelyn Recent zbMATH articles by "Buckwar, Evelyn"
Published as: Buckwar, Evelyn; Buckwar, E.
External Links: MGP · ORCID · Wikidata · IdRef
Documents Indexed: 47 Publications since 1997, including 1 Book
3 Contributions as Editor
Reviewing Activity: 150 Reviews
Co-Authors: 38 Co-Authors with 43 Joint Publications
996 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

47 Publications have been cited 943 times in 612 Documents Cited by Year
Invariance of a partial differential equation of fractional order under the Lie group of scaling transformations. Zbl 0932.58038
Buckwar, Evelyn; Luchko, Yuri
117
1998
Exponential stability in \(p\)-th mean of solutions, and of convergent Euler-type solutions, of stochastic delay differential equations. Zbl 1081.65011
Baker, Christopher T. H.; Buckwar, Evelyn
104
2005
Numerical analysis of explicit one-step methods for stochastic delay differential equations. Zbl 0974.65008
Baker, Christopher T. H.; Buckwar, Evelyn
94
2000
Introduction to the numerical analysis of stochastic delay differential equations. Zbl 0971.65004
Buckwar, Evelyn
93
2000
Towards a systematic linear stability analysis of numerical methods for systems of stochastic differential equations. Zbl 1221.60077
Buckwar, Evelyn; Kelly, Cónall
49
2010
Continuous \(\Theta\)-methods for the stochastic pantograph equation. Zbl 0968.65004
Baker, Christopher T. H.; Buckwar, Evelyn
42
2000
Multistep methods for SDEs and their application to problems with small noise. Zbl 1117.60068
Buckwar, Evelyn; Winkler, Renate
39
2006
A comparative linear mean-square stability analysis of Maruyama- and Milstein-type methods. Zbl 1219.60066
Buckwar, Evelyn; Sickenberger, Thorsten
36
2011
An exact stochastic hybrid model of excitable membranes including spatio-temporal evolution. Zbl 1284.92038
Buckwar, Evelyn; Riedler, Martin G.
34
2011
Asymptotic mean-square stability of two-step methods for stochastic ordinary differential equations. Zbl 1121.60071
Buckwar, E.; Horváth-Bokor, R.; Winkler, R.
30
2006
A structural analysis of asymptotic mean-square stability for multi-dimensional linear stochastic differential systems. Zbl 1245.65006
Buckwar, Evelyn; Sickenberger, Thorsten
30
2012
Sufficient conditions for polynomial asymptotic behaviour of the stochastic pantograph equation. Zbl 1389.60069
Appleby, John; Buckwar, Evelyn
21
2016
Weak approximation of stochastic differential delay equations. Zbl 1076.65010
Buckwar, Evelyn; Shardlow, Tony
18
2005
Multi-step Maruyama methods for stochastic delay differential equations. Zbl 1132.60052
Buckwar, Evelyn; Winkler, Renate
17
2007
Stochastic Runge-Kutta methods for Itô sodes with small noise. Zbl 1215.65013
Buckwar, Evelyn; Rößler, Andreas; Winkler, Renate
14
2010
Weak convergence of the Euler scheme for stochastic differential delay equations. Zbl 1223.65008
Buckwar, Evelyn; Kuske, Rachel; Mohammed, Salah-Eldin; Shardlow, Tony
13
2008
One-step approximations for stochastic functional differential equations. Zbl 1105.65005
Buckwar, Evelyn
13
2006
Non-normal drift structures and linear stability analysis of numerical methods for systems of stochastic differential equations. Zbl 1268.60091
Buckwar, Evelyn; Kelly, Cónall
13
2012
Runge-Kutta methods for jump-diffusion differential equations. Zbl 1252.65010
Buckwar, Evelyn; Riedler, Martin G.
12
2011
Almost sure asymptotic stability analysis of the \(\theta\)-Maruyama method applied to a test system with stabilising and destabilising stochastic perturbations. Zbl 1294.60093
Berkolaiko, Gregory; Buckwar, Evelyn; Kelly, Cónall; Rodkina, Alexandra
12
2012
The \(\Theta\)-Maruyama scheme for stochastic functional differential equations with distributed memory term. Zbl 1071.65004
Buckwar, Evelyn
10
2004
Numerical solution of the neural field equation in the two-dimensional case. Zbl 1329.65316
Lima, Pedro M.; Buckwar, Evelyn
10
2015
Laws of large numbers and Langevin approximations for stochastic neural field equations. Zbl 1295.60030
Riedler, Martin G.; Buckwar, Evelyn
9
2013
The numerical stability of stochastic ordinary differential equations with additive noise. Zbl 1236.60067
Buckwar, E.; Riedler, M. G.; Kloeden, P. E.
8
2011
Improved linear multi-step methods for stochastic ordinary differential equations. Zbl 1128.65005
Buckwar, Evelyn; Winkler, Renate
8
2007
A stochastic version of the jansen and rit neural mass model: analysis and numerics. Zbl 1395.92027
Ableidinger, Markus; Buckwar, Evelyn; Hinterleitner, Harald
8
2017
On two-step schemes for SDEs with small noise. Zbl 1354.60077
Buckwar, Evelyn; Winkler, Renate
8
2004
Splitting integrators for the stochastic Landau-Lifshitz equation. Zbl 1342.60111
Ableidinger, M.; Buckwar, E.
8
2016
Stochastic Runge-Kutta methods with deterministic high order for ordinary differential equations. Zbl 1276.65003
Komori, Yoshio; Buckwar, Evelyn
7
2013
Noise-sensitivity in machine tool vibrations. Zbl 1192.74162
Buckwar, E.; Kuske, R.; L’Esperance, B.; Soo, T.
6
2006
On Halanay-type analysis of exponential stability for the \(\theta\)-Maruyama method for stochastic delay differential equations. Zbl 1081.65012
Baker, Christopher T. H.; Buckwar, Evelyn
6
2005
A constructive comparison technique for determining the asymptotic behaviour of linear functional differential equations with unbounded delay. Zbl 1223.34097
Appleby, John A. D.; Buckwar, Evelyn
6
2010
Asymptotic and transient mean-square properties of stochastic systems arising in ecology, fluid dynamics, and system control. Zbl 1297.93172
Buckwar, Evelyn; Kelly, Cónall
6
2014
Spectral density-based and measure-preserving ABC for partially observed diffusion processes. An illustration on Hamiltonian SDEs. Zbl 1505.62081
Buckwar, Evelyn; Tamborrino, Massimiliano; Tubikanec, Irene
5
2020
A splitting method for SDEs with locally Lipschitz drift: illustration on the FitzHugh-Nagumo model. Zbl 1491.65014
Buckwar, Evelyn; Samson, Adeline; Tamborrino, Massimiliano; Tubikanec, Irene
5
2022
Existence and uniqueness of solutions of Abel integral equations with power-law non-linearities. Zbl 1085.45003
Buckwar, Evelyn
5
2005
Iterative approximation of the positive solutions of a class of nonlinear Volterra-type integral equations. Zbl 0885.65154
Buckwar, Evelyn
4
1997
Qualitative properties of different numerical methods for the inhomogeneous geometric Brownian motion. Zbl 1490.60209
Tubikanec, Irene; Tamborrino, Massimiliano; Lansky, Petr; Buckwar, Evelyn
4
2022
Exponential mean-square stability properties of stochastic linear multistep methods. Zbl 1496.65007
Buckwar, Evelyn; D’Ambrosio, Raffaele
4
2021
Noise induced oscillation in solutions of stochastic delay differential equations. Zbl 1105.34057
Appleby, John A. D.; Buckwar, Evelyn
3
2005
On a nonlinear Volterra integral equation. Zbl 0957.45005
Buckwar, Evelyn
3
2000
Weak stochastic Runge-Kutta Munthe-Kaas methods for finite spin ensembles. Zbl 1367.65012
Ableidinger, M.; Buckwar, E.
3
2017
Introduction to the numerical analysis of stochastic delay differential equations. Zbl 0963.65501
Buckwar, Evelyn
2
2000
Special issue: Stochastic dynamics with delay and memory. Selected papers based on the presentation at the workshop, Halle/Wittenberg, Germany, February 2–5, 2004. Zbl 1080.60500
1
2005
An importance sampling technique in Monte Carlo methods for SDEs with a.s. stable and mean-square unstable equilibrium. Zbl 1382.65014
Ableidinger, M.; Buckwar, E.; Thalhammer, A.
1
2017
Corrigendum: On the use of a discrete form of the Itô formula in the article “Almost sure asymptotic stability analysis of the \(\theta\)-Maruyama method applied to a test system with stabilising and destabilising stochastic perturbations”. Zbl 1297.60044
Berkolaiko, Gregory; Buckwar, Evelyn; Kelly, Cónall; Rodkina, Alexandra
1
2013
A note on the analysis of asymptotic mean-square stability properties for systems of linear stochastic delay differential equations. Zbl 1390.34228
Buckwar, Evelyn; Notarangelo, Girolama
1
2013
A splitting method for SDEs with locally Lipschitz drift: illustration on the FitzHugh-Nagumo model. Zbl 1491.65014
Buckwar, Evelyn; Samson, Adeline; Tamborrino, Massimiliano; Tubikanec, Irene
5
2022
Qualitative properties of different numerical methods for the inhomogeneous geometric Brownian motion. Zbl 1490.60209
Tubikanec, Irene; Tamborrino, Massimiliano; Lansky, Petr; Buckwar, Evelyn
4
2022
Exponential mean-square stability properties of stochastic linear multistep methods. Zbl 1496.65007
Buckwar, Evelyn; D’Ambrosio, Raffaele
4
2021
Spectral density-based and measure-preserving ABC for partially observed diffusion processes. An illustration on Hamiltonian SDEs. Zbl 1505.62081
Buckwar, Evelyn; Tamborrino, Massimiliano; Tubikanec, Irene
5
2020
A stochastic version of the jansen and rit neural mass model: analysis and numerics. Zbl 1395.92027
Ableidinger, Markus; Buckwar, Evelyn; Hinterleitner, Harald
8
2017
Weak stochastic Runge-Kutta Munthe-Kaas methods for finite spin ensembles. Zbl 1367.65012
Ableidinger, M.; Buckwar, E.
3
2017
An importance sampling technique in Monte Carlo methods for SDEs with a.s. stable and mean-square unstable equilibrium. Zbl 1382.65014
Ableidinger, M.; Buckwar, E.; Thalhammer, A.
1
2017
Sufficient conditions for polynomial asymptotic behaviour of the stochastic pantograph equation. Zbl 1389.60069
Appleby, John; Buckwar, Evelyn
21
2016
Splitting integrators for the stochastic Landau-Lifshitz equation. Zbl 1342.60111
Ableidinger, M.; Buckwar, E.
8
2016
Numerical solution of the neural field equation in the two-dimensional case. Zbl 1329.65316
Lima, Pedro M.; Buckwar, Evelyn
10
2015
Asymptotic and transient mean-square properties of stochastic systems arising in ecology, fluid dynamics, and system control. Zbl 1297.93172
Buckwar, Evelyn; Kelly, Cónall
6
2014
Laws of large numbers and Langevin approximations for stochastic neural field equations. Zbl 1295.60030
Riedler, Martin G.; Buckwar, Evelyn
9
2013
Stochastic Runge-Kutta methods with deterministic high order for ordinary differential equations. Zbl 1276.65003
Komori, Yoshio; Buckwar, Evelyn
7
2013
Corrigendum: On the use of a discrete form of the Itô formula in the article “Almost sure asymptotic stability analysis of the \(\theta\)-Maruyama method applied to a test system with stabilising and destabilising stochastic perturbations”. Zbl 1297.60044
Berkolaiko, Gregory; Buckwar, Evelyn; Kelly, Cónall; Rodkina, Alexandra
1
2013
A note on the analysis of asymptotic mean-square stability properties for systems of linear stochastic delay differential equations. Zbl 1390.34228
Buckwar, Evelyn; Notarangelo, Girolama
1
2013
A structural analysis of asymptotic mean-square stability for multi-dimensional linear stochastic differential systems. Zbl 1245.65006
Buckwar, Evelyn; Sickenberger, Thorsten
30
2012
Non-normal drift structures and linear stability analysis of numerical methods for systems of stochastic differential equations. Zbl 1268.60091
Buckwar, Evelyn; Kelly, Cónall
13
2012
Almost sure asymptotic stability analysis of the \(\theta\)-Maruyama method applied to a test system with stabilising and destabilising stochastic perturbations. Zbl 1294.60093
Berkolaiko, Gregory; Buckwar, Evelyn; Kelly, Cónall; Rodkina, Alexandra
12
2012
A comparative linear mean-square stability analysis of Maruyama- and Milstein-type methods. Zbl 1219.60066
Buckwar, Evelyn; Sickenberger, Thorsten
36
2011
An exact stochastic hybrid model of excitable membranes including spatio-temporal evolution. Zbl 1284.92038
Buckwar, Evelyn; Riedler, Martin G.
34
2011
Runge-Kutta methods for jump-diffusion differential equations. Zbl 1252.65010
Buckwar, Evelyn; Riedler, Martin G.
12
2011
The numerical stability of stochastic ordinary differential equations with additive noise. Zbl 1236.60067
Buckwar, E.; Riedler, M. G.; Kloeden, P. E.
8
2011
Towards a systematic linear stability analysis of numerical methods for systems of stochastic differential equations. Zbl 1221.60077
Buckwar, Evelyn; Kelly, Cónall
49
2010
Stochastic Runge-Kutta methods for Itô sodes with small noise. Zbl 1215.65013
Buckwar, Evelyn; Rößler, Andreas; Winkler, Renate
14
2010
A constructive comparison technique for determining the asymptotic behaviour of linear functional differential equations with unbounded delay. Zbl 1223.34097
Appleby, John A. D.; Buckwar, Evelyn
6
2010
Weak convergence of the Euler scheme for stochastic differential delay equations. Zbl 1223.65008
Buckwar, Evelyn; Kuske, Rachel; Mohammed, Salah-Eldin; Shardlow, Tony
13
2008
Multi-step Maruyama methods for stochastic delay differential equations. Zbl 1132.60052
Buckwar, Evelyn; Winkler, Renate
17
2007
Improved linear multi-step methods for stochastic ordinary differential equations. Zbl 1128.65005
Buckwar, Evelyn; Winkler, Renate
8
2007
Multistep methods for SDEs and their application to problems with small noise. Zbl 1117.60068
Buckwar, Evelyn; Winkler, Renate
39
2006
Asymptotic mean-square stability of two-step methods for stochastic ordinary differential equations. Zbl 1121.60071
Buckwar, E.; Horváth-Bokor, R.; Winkler, R.
30
2006
One-step approximations for stochastic functional differential equations. Zbl 1105.65005
Buckwar, Evelyn
13
2006
Noise-sensitivity in machine tool vibrations. Zbl 1192.74162
Buckwar, E.; Kuske, R.; L’Esperance, B.; Soo, T.
6
2006
Exponential stability in \(p\)-th mean of solutions, and of convergent Euler-type solutions, of stochastic delay differential equations. Zbl 1081.65011
Baker, Christopher T. H.; Buckwar, Evelyn
104
2005
Weak approximation of stochastic differential delay equations. Zbl 1076.65010
Buckwar, Evelyn; Shardlow, Tony
18
2005
On Halanay-type analysis of exponential stability for the \(\theta\)-Maruyama method for stochastic delay differential equations. Zbl 1081.65012
Baker, Christopher T. H.; Buckwar, Evelyn
6
2005
Existence and uniqueness of solutions of Abel integral equations with power-law non-linearities. Zbl 1085.45003
Buckwar, Evelyn
5
2005
Noise induced oscillation in solutions of stochastic delay differential equations. Zbl 1105.34057
Appleby, John A. D.; Buckwar, Evelyn
3
2005
Special issue: Stochastic dynamics with delay and memory. Selected papers based on the presentation at the workshop, Halle/Wittenberg, Germany, February 2–5, 2004. Zbl 1080.60500
1
2005
The \(\Theta\)-Maruyama scheme for stochastic functional differential equations with distributed memory term. Zbl 1071.65004
Buckwar, Evelyn
10
2004
On two-step schemes for SDEs with small noise. Zbl 1354.60077
Buckwar, Evelyn; Winkler, Renate
8
2004
Numerical analysis of explicit one-step methods for stochastic delay differential equations. Zbl 0974.65008
Baker, Christopher T. H.; Buckwar, Evelyn
94
2000
Introduction to the numerical analysis of stochastic delay differential equations. Zbl 0971.65004
Buckwar, Evelyn
93
2000
Continuous \(\Theta\)-methods for the stochastic pantograph equation. Zbl 0968.65004
Baker, Christopher T. H.; Buckwar, Evelyn
42
2000
On a nonlinear Volterra integral equation. Zbl 0957.45005
Buckwar, Evelyn
3
2000
Introduction to the numerical analysis of stochastic delay differential equations. Zbl 0963.65501
Buckwar, Evelyn
2
2000
Invariance of a partial differential equation of fractional order under the Lie group of scaling transformations. Zbl 0932.58038
Buckwar, Evelyn; Luchko, Yuri
117
1998
Iterative approximation of the positive solutions of a class of nonlinear Volterra-type integral equations. Zbl 0885.65154
Buckwar, Evelyn
4
1997
all top 5

Cited by 773 Authors

25 Buckwar, Evelyn
25 Mao, Xuerong
18 Gan, Siqing
17 Huang, Chengming
16 D’Ambrosio, Raffaele
11 Liu, Mingzhu
10 Guo, Qian
10 Song, Minghui
10 Winkler, Renate
10 Wu, Fuke
9 Deng, Feiqi
9 Liu, Wei
8 Liu, Linna
8 Singla, Komal
7 Kelly, Cónall
7 Mao, Wei
7 Senosiain, M. J.
7 Wang, Xiaojie
7 Yuan, Chenggui
6 Burrage, Kevin
6 Cao, Wanrong
6 Caraballo Garrido, Tomás
6 Di Giovacchino, Stefano
6 Gupta, Rajesh Kumar
6 Hu, Liangjian
6 Hu, Lin
6 Kloeden, Peter Eris
6 Lima, Pedro Miguel
6 Milošević, Marija
6 Thieullen, Michèle
6 Xiao, Yu
6 Yue, Chao
6 Zhang, Zhiyong
5 Appleby, John A. D.
5 Băleanu, Dumitru I.
5 Bressloff, Paul C.
5 Debrabant, Kristian
5 Fan, Zhencheng
5 Hosseini, Seyed Mohammad
5 Hu, Junhao
5 Komori, Yoshio
5 Paternoster, Beatrice
5 Płociniczak, Łukasz
5 Rathinasamy, Anandaraman
5 Ren, Quanwei
5 Sahadevan, Ramajayam
5 Sahoo, Subhadarshan
5 Scalone, Carmela
5 Wang, Gangwei
5 Xiao, Aiguo
5 Yuan, Haiyan
5 Zhou, Shaobo
5 Zhu, Quanxin
5 Zong, Xiaofeng
4 Abdulle, Assyr
4 Ahmadian, Davood
4 Alsakaji, Hebatallah J.
4 Baker, Christopher Thomas Hale
4 Bira, Bibekananda
4 Carletti, Margherita
4 Gao, Shuaibin
4 Genadot, Alexandre
4 Guo, Ping
4 Hu, Peng
4 Huang, Jun
4 Kadkhoda, Nematollah
4 Kruse, Raphael
4 Kuske, Rachel A.
4 Li, Qiyong
4 Li, Ronghua
4 Liu, Jiangen
4 Mandal, Hemanta
4 Pepe, Pierdomenico
4 Pham Huu Anh Ngoc
4 Rihan, Fathalla A.
4 Rodkina, Alexandra
4 Sickenberger, Thorsten
4 Tang, Xiao
4 Tian, Hongjiong
4 Tubikanec, Irene
4 Wang, Desheng
4 Yang, Zhanwen
4 Zhang, Chengjian
4 Zhang, Yufeng
4 Zheng, Jia
3 Aliyu, Aliyu Isa
3 Bakkyaraj, Thangarasu
3 Basti, Bilal
3 Benhamidouche, Noureddine
3 Bréhier, Charles-Edouard
3 Chen, Lin
3 Citro, Vincenzo
3 Conte, Dajana
3 Debussche, Arnaud
3 Ding, Xiaohua
3 Feng, Yiying
3 Ford, Neville J.
3 Fridman, Emilia
3 Günther, Michael
3 Huang, Qing
...and 673 more Authors
all top 5

Cited in 173 Serials

72 Journal of Computational and Applied Mathematics
56 Applied Mathematics and Computation
23 Applied Numerical Mathematics
21 International Journal of Computer Mathematics
21 Communications in Nonlinear Science and Numerical Simulation
16 BIT
16 Numerical Algorithms
13 Abstract and Applied Analysis
12 Nonlinear Dynamics
10 Discrete and Continuous Dynamical Systems. Series B
10 Advances in Difference Equations
9 Journal of Mathematical Physics
9 Physica A
9 Chaos, Solitons and Fractals
8 Mathematics and Computers in Simulation
7 Computers & Mathematics with Applications
7 Stochastic Analysis and Applications
7 Computational and Applied Mathematics
6 Journal of Mathematical Analysis and Applications
6 SIAM Journal on Numerical Analysis
6 LMS Journal of Computation and Mathematics
5 Journal of the Franklin Institute
5 Applied Mathematics and Optimization
5 Statistics & Probability Letters
5 Mathematical Problems in Engineering
5 Discrete Dynamics in Nature and Society
4 Journal of Mathematical Biology
4 Applied Mathematics Letters
4 SIAM Journal on Scientific Computing
4 Chaos
4 Journal of Applied Mathematics
4 Stochastics and Dynamics
4 Journal of Applied Mathematics and Computing
4 Waves in Random and Complex Media
3 Numerische Mathematik
3 Mathematical and Computer Modelling
3 Stochastic Processes and their Applications
3 Journal of Computational Neuroscience
3 Journal of Difference Equations and Applications
3 Fractional Calculus & Applied Analysis
3 International Journal of Geometric Methods in Modern Physics
3 Boundary Value Problems
3 Nonlinear Analysis. Hybrid Systems
3 The Journal of Mathematical Neuroscience
2 Advances in Applied Probability
2 Journal of Computational Physics
2 Mathematical Biosciences
2 Mathematics of Computation
2 Journal of Geometry and Physics
2 The Annals of Probability
2 Automatica
2 Calcolo
2 Journal of Differential Equations
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Systems & Control Letters
2 Acta Mathematicae Applicatae Sinica. English Series
2 The Annals of Applied Probability
2 Applied Mathematical Modelling
2 SIAM Journal on Mathematical Analysis
2 Journal of Dynamics and Differential Equations
2 International Journal of Robust and Nonlinear Control
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Fractals
2 Advances in Computational Mathematics
2 Bernoulli
2 Journal of Inequalities and Applications
2 Statistical Inference for Stochastic Processes
2 Acta Mathematica Sinica. English Series
2 Nonlinear Analysis. Modelling and Control
2 SIAM Journal on Applied Dynamical Systems
2 Mathematical Biosciences and Engineering
2 Discrete and Continuous Dynamical Systems. Series S
2 Journal of Nonlinear Science and Applications
2 Advances in Mathematical Physics
2 Advances in Applied Mathematics and Mechanics
2 Science China. Mathematics
2 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
2 Ufimskiĭ Matematicheskiĭ Zhurnal
2 Symmetry
2 Arabian Journal of Mathematics
2 Journal of Computational Dynamics
2 Journal of Mathematics
2 Journal of Applied Nonlinear Dynamics
2 Journal of Function Spaces
1 Biological Cybernetics
1 Computers and Fluids
1 Communications in Mathematical Physics
1 Computer Physics Communications
1 International Journal of Control
1 Journal of Statistical Physics
1 Mathematical Methods in the Applied Sciences
1 Nonlinearity
1 Rocky Mountain Journal of Mathematics
1 Theoretical and Mathematical Physics
1 Bulletin of Mathematical Biology
1 Journal of Applied Probability
1 Journal of Multivariate Analysis
1 Mathematische Nachrichten
1 Proceedings of the American Mathematical Society
1 Studies in Applied Mathematics
...and 73 more Serials

Citations by Year

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