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Schurz, Henri

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Author ID: schurz.henri Recent zbMATH articles by "Schurz, Henri"
Published as: Schurz, Henri; Schurz, H.
Documents Indexed: 63 Publications since 1991, including 3 Books
Reviewing Activity: 217 Reviews
all top 5

Serials

7 International Journal of Numerical Analysis and Modeling
6 Discrete and Continuous Dynamical Systems
4 Dynamic Systems and Applications
3 Journal of Computational and Applied Mathematics
3 Stochastic Analysis and Applications
2 Journal of Mathematical Analysis and Applications
2 ETNA. Electronic Transactions on Numerical Analysis
2 Journal of Difference Equations and Applications
2 Preprint. Vychislitel’nyĭ Tsentr. Rossiĭskaya Akademiya Nauk Sibirskoe Otdelenie
1 Mathematical Biosciences
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Chaos, Solitons and Fractals
1 Journal of Applied Probability
1 SIAM Journal on Numerical Analysis
1 Neural Networks
1 Journal of Dynamics and Differential Equations
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 SIAM Journal on Scientific Computing
1 Electronic Journal of Differential Equations (EJDE)
1 Random Operators and Stochastic Equations
1 Monte Carlo Methods and Applications
1 Communications in Applied Analysis
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Electronic Journal of Qualitative Theory of Differential Equations
1 Bulletin of the Novosibirsk Computing Center. Series: Numerical Analysis
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
1 Discrete and Continuous Dynamical Systems. Series B
1 Sādhanā
1 Matemáticas: Enseñanza Universitaria (Nueva Serie)
1 Advances in Difference Equations
1 Contemporary Mathematics
1 Discrete and Continuous Dynamical Systems. Series S
1 Algorithms
1 Universitext

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 579 times in 400 Documents Cited by Year
Numerical solution of SDE through computer experiments. Including floppy disk. Zbl 0789.65100
Kloeden, Peter E.; Platen, Eckhard; Schurz, Henri
117
1994
Balanced implicit methods for stiff stochastic systems. Zbl 0914.65143
Milstein, G. N.; Platen, E.; Schurz, H.
83
1998
Balanced Milstein methods for ordinary SDEs. Zbl 1105.65009
Kahl, Christian; Schurz, Henri
32
2006
Numerical analysis of stochastic differential equations without tears. Zbl 0995.60052
Schurz, H.
27
2001
Almost sure asymptotic stability of drift-implicit \(\theta\)-methods for bilinear ordinary stochastic differential equations in \(\mathbb R^1\). Zbl 1073.65009
Rodkina, Alexandra; Schurz, Henri
26
2005
Stability, stationarity, and boundedness of some implicit numerical methods for stochastic differential equations and applications. Zbl 0905.60002
Schurz, Henri
25
1997
Boundary preserving semianalytic numerical algorithms for stochastic differential equations. Zbl 1149.65008
Moro, Esteban; Schurz, Henri
19
2007
Asymptotical mean square stability of an equilibrium point of some linear numerical solutions with multiplicative noise. Zbl 0860.60040
Schurz, Henri
18
1996
The invariance of asymptotic laws of linear stochastic systems under discretization. Zbl 0938.34072
Schurz, H.
18
1999
A comparison of persistence-time estimation for discrete and continuous stochastic population models that include demographic and environmental variability. Zbl 1071.92032
Allen, Edward J.; Allen, Linda J. S.; Schurz, Henri
16
2005
Numerical regularization for SDEs: Construction of nonnegative solutions. Zbl 0863.60057
Schurz, Henri
15
1996
On effects of discretization on estimators of drift parameters for diffusion processes. Zbl 0873.65134
Kloeden, P. E.; Platen, E.; Schurz, H.; Sørensen, M.
14
1996
The numerical solution of nonlinear stochastic dynamical systems: A brief introduction. Zbl 0876.65097
Kloeden, P. E.; Platen, E.; Schurz, H.
13
1991
Mean square convergence of stochastic \(\theta\)-methods for nonlinear neutral stochastic differential delay equations. Zbl 1215.65014
Gan, Siqing; Schurz, Henri; Zhang, Haomin
13
2011
Modeling, analysis and discretization of stochastic logistic equations. Zbl 1128.65008
Schurz, Henri
11
2007
Stochastic asymptotic stability of SIR model with variable diffusion rates. Zbl 1312.60077
Schurz, Henri; Tosun, Kursad
10
2015
Preservation of probabilistic laws through Euler methods for Ornstein-Uhlenbeck process. Zbl 0931.60047
Schurz, Henri
10
1999
Convergence and stability of balanced implicit methods for systems of SDEs. Zbl 1078.65007
Schurz, Henri
9
2005
General theorems for numerical approximation of stochastic processes on the Hilbert space \(H_2([0,T], \mu,\mathbb{R}^d)\). Zbl 1030.65003
Schurz, Henri
9
2003
An axiomatic approach to numerical approximations of stochastic processes. Zbl 1109.65010
Schurz, Henri
8
2006
Analysis of noise-induced transitions for Hopf system with additive and multiplicative random disturbances. Zbl 1197.37069
Bashkirtseva, Irina; Ryashko, Lev; Schurz, Henri
8
2009
Almost sure stability of some stochastic dynamical systems with memory. Zbl 1148.39011
Rodkina, Alexandra; Schurz, Henri; Shaikhet, Leonid
7
2008
Analysis and discretization of semi-linear stochastic wave equations with cubic nonlinearity and additive space-time noise. Zbl 1167.60014
Schurz, Henri
6
2008
Mean square stability analysis of some linear stochastic systems. Zbl 0895.60064
Ryashko, Lev B.; Schurz, Henri
5
1997
Global asymptotic stability of solutions of cubic stochastic difference equations. Zbl 1079.39012
Rodkina, Alexandra; Schurz, Henri
5
2004
Moment attractivity, stability and contractivity exponents of stochastic dynamical systems. Zbl 1153.37392
Schurz, Henri
5
2001
Higher order approximate Markov chain filters. Zbl 0783.60045
Kloeden, P. E.; Platen, E.; Schurz, H.
4
1993
Waveform relaxation methods for stochastic differential equations. Zbl 1101.65006
Schurz, Henri; Schneider, Klaus R.
4
2006
New stochastic integrals, oscillation theorems and energy identities. Zbl 1189.60120
Schurz, Henri
4
2009
Almost sure asymptotic stability and convergence of stochastic theta methods applied to systems of linear SDEs in \(\mathbb R^d\). Zbl 1268.65009
Schurz, Henri
4
2011
Upper bounds on the rate of convergence of truncated stochastic infinite-dimensional differential systems with \(H\)-regular noise. Zbl 1136.60042
Bessaih, H.; Schurz, H.
4
2007
On moment-dissipative stochastic dynamical systems. Zbl 1010.65003
Schurz, Henri
4
2001
Pathwise non-exponential decay rates of solutions of scalar nonlinear stochastic differential equations. Zbl 1131.93052
Appleby, John A. D.; Rodkina, Alexandra; Schurz, Henri
3
2006
Basic concepts of numerical analysis of stochastic differential equations explained by balanced implicit theta methods. Zbl 1258.60042
Schurz, Henri
3
2012
Nonlinear stochastic heat equations with cubic nonlinearities and additive \(Q\)-regular noise in \(\mathbb{R}^1\). Zbl 1200.35342
Schurz, Henri
3
2010
Stochastic wave equations with cubic nonlinearity and Q-regular additive noise in \(\mathbb R^2\). Zbl 1306.60092
Schurz, Henri
2
2011
Nonlinear stochastic wave equations in \(\mathbb{R}^1\) with power-law nonlinearity and additive space-time noise. Zbl 1297.35126
Schurz, Henri
2
2007
Stability of numerical methods for ordinary stochastic differential equations along Lyapunov-type and other functions with variable step sizes. Zbl 1080.60061
Schurz, Henri
2
2005
Non-positivity and oscillations of solutions of nonlinear stochastic difference equations with state-dependent noise. Zbl 1198.39032
Appleby, John A. D.; Rodkina, Alexandra; Schurz, Henri
2
2010
Existence and uniqueness of solutions of semilinear stochastic infinite-dimensional differential systems with \(H\)-regular noise. Zbl 1114.60052
Schurz, H.
2
2007
On positivity and boundedness of solutions of nonlinear stochastic difference equations. Zbl 1205.39020
Rodkina, Alexandra; Schurz, Henri
2
2009
On global asymptotic stability of solutions of some in-arithmetic-mean-sense monotone stochastic difference equations in \(\mathbb{R}^1\). Zbl 1078.65006
Rodkina, Alexandra; Schurz, Henri
1
2005
Stochastic-\(\alpha\) calculus, a fundamental theorem and Burkholder-Davis-Gundy-type estimates. Zbl 1108.60046
Schurz, Henri
1
2006
Modelling and analysis of stochastic innovation diffusion. Zbl 0925.60062
Schurz, H.
1
1996
Almost sure convergence and asymptotic stability of systems of linear stochastic difference equations in \(\mathbb R^d\) driven by \(L^2\)-martingales. Zbl 1258.39011
Schurz, Henri
1
2012
On the oscillation of solutions of stochastic difference equations. Zbl 1201.39008
Appleby, John A. D.; Rodkina, Alexandra; Schurz, Henri
1
2009
Stochastic asymptotic stability of SIR model with variable diffusion rates. Zbl 1312.60077
Schurz, Henri; Tosun, Kursad
10
2015
Basic concepts of numerical analysis of stochastic differential equations explained by balanced implicit theta methods. Zbl 1258.60042
Schurz, Henri
3
2012
Almost sure convergence and asymptotic stability of systems of linear stochastic difference equations in \(\mathbb R^d\) driven by \(L^2\)-martingales. Zbl 1258.39011
Schurz, Henri
1
2012
Mean square convergence of stochastic \(\theta\)-methods for nonlinear neutral stochastic differential delay equations. Zbl 1215.65014
Gan, Siqing; Schurz, Henri; Zhang, Haomin
13
2011
Almost sure asymptotic stability and convergence of stochastic theta methods applied to systems of linear SDEs in \(\mathbb R^d\). Zbl 1268.65009
Schurz, Henri
4
2011
Stochastic wave equations with cubic nonlinearity and Q-regular additive noise in \(\mathbb R^2\). Zbl 1306.60092
Schurz, Henri
2
2011
Nonlinear stochastic heat equations with cubic nonlinearities and additive \(Q\)-regular noise in \(\mathbb{R}^1\). Zbl 1200.35342
Schurz, Henri
3
2010
Non-positivity and oscillations of solutions of nonlinear stochastic difference equations with state-dependent noise. Zbl 1198.39032
Appleby, John A. D.; Rodkina, Alexandra; Schurz, Henri
2
2010
Analysis of noise-induced transitions for Hopf system with additive and multiplicative random disturbances. Zbl 1197.37069
Bashkirtseva, Irina; Ryashko, Lev; Schurz, Henri
8
2009
New stochastic integrals, oscillation theorems and energy identities. Zbl 1189.60120
Schurz, Henri
4
2009
On positivity and boundedness of solutions of nonlinear stochastic difference equations. Zbl 1205.39020
Rodkina, Alexandra; Schurz, Henri
2
2009
On the oscillation of solutions of stochastic difference equations. Zbl 1201.39008
Appleby, John A. D.; Rodkina, Alexandra; Schurz, Henri
1
2009
Almost sure stability of some stochastic dynamical systems with memory. Zbl 1148.39011
Rodkina, Alexandra; Schurz, Henri; Shaikhet, Leonid
7
2008
Analysis and discretization of semi-linear stochastic wave equations with cubic nonlinearity and additive space-time noise. Zbl 1167.60014
Schurz, Henri
6
2008
Boundary preserving semianalytic numerical algorithms for stochastic differential equations. Zbl 1149.65008
Moro, Esteban; Schurz, Henri
19
2007
Modeling, analysis and discretization of stochastic logistic equations. Zbl 1128.65008
Schurz, Henri
11
2007
Upper bounds on the rate of convergence of truncated stochastic infinite-dimensional differential systems with \(H\)-regular noise. Zbl 1136.60042
Bessaih, H.; Schurz, H.
4
2007
Nonlinear stochastic wave equations in \(\mathbb{R}^1\) with power-law nonlinearity and additive space-time noise. Zbl 1297.35126
Schurz, Henri
2
2007
Existence and uniqueness of solutions of semilinear stochastic infinite-dimensional differential systems with \(H\)-regular noise. Zbl 1114.60052
Schurz, H.
2
2007
Balanced Milstein methods for ordinary SDEs. Zbl 1105.65009
Kahl, Christian; Schurz, Henri
32
2006
An axiomatic approach to numerical approximations of stochastic processes. Zbl 1109.65010
Schurz, Henri
8
2006
Waveform relaxation methods for stochastic differential equations. Zbl 1101.65006
Schurz, Henri; Schneider, Klaus R.
4
2006
Pathwise non-exponential decay rates of solutions of scalar nonlinear stochastic differential equations. Zbl 1131.93052
Appleby, John A. D.; Rodkina, Alexandra; Schurz, Henri
3
2006
Stochastic-\(\alpha\) calculus, a fundamental theorem and Burkholder-Davis-Gundy-type estimates. Zbl 1108.60046
Schurz, Henri
1
2006
Almost sure asymptotic stability of drift-implicit \(\theta\)-methods for bilinear ordinary stochastic differential equations in \(\mathbb R^1\). Zbl 1073.65009
Rodkina, Alexandra; Schurz, Henri
26
2005
A comparison of persistence-time estimation for discrete and continuous stochastic population models that include demographic and environmental variability. Zbl 1071.92032
Allen, Edward J.; Allen, Linda J. S.; Schurz, Henri
16
2005
Convergence and stability of balanced implicit methods for systems of SDEs. Zbl 1078.65007
Schurz, Henri
9
2005
Stability of numerical methods for ordinary stochastic differential equations along Lyapunov-type and other functions with variable step sizes. Zbl 1080.60061
Schurz, Henri
2
2005
On global asymptotic stability of solutions of some in-arithmetic-mean-sense monotone stochastic difference equations in \(\mathbb{R}^1\). Zbl 1078.65006
Rodkina, Alexandra; Schurz, Henri
1
2005
Global asymptotic stability of solutions of cubic stochastic difference equations. Zbl 1079.39012
Rodkina, Alexandra; Schurz, Henri
5
2004
General theorems for numerical approximation of stochastic processes on the Hilbert space \(H_2([0,T], \mu,\mathbb{R}^d)\). Zbl 1030.65003
Schurz, Henri
9
2003
Numerical analysis of stochastic differential equations without tears. Zbl 0995.60052
Schurz, H.
27
2001
Moment attractivity, stability and contractivity exponents of stochastic dynamical systems. Zbl 1153.37392
Schurz, Henri
5
2001
On moment-dissipative stochastic dynamical systems. Zbl 1010.65003
Schurz, Henri
4
2001
The invariance of asymptotic laws of linear stochastic systems under discretization. Zbl 0938.34072
Schurz, H.
18
1999
Preservation of probabilistic laws through Euler methods for Ornstein-Uhlenbeck process. Zbl 0931.60047
Schurz, Henri
10
1999
Balanced implicit methods for stiff stochastic systems. Zbl 0914.65143
Milstein, G. N.; Platen, E.; Schurz, H.
83
1998
Stability, stationarity, and boundedness of some implicit numerical methods for stochastic differential equations and applications. Zbl 0905.60002
Schurz, Henri
25
1997
Mean square stability analysis of some linear stochastic systems. Zbl 0895.60064
Ryashko, Lev B.; Schurz, Henri
5
1997
Asymptotical mean square stability of an equilibrium point of some linear numerical solutions with multiplicative noise. Zbl 0860.60040
Schurz, Henri
18
1996
Numerical regularization for SDEs: Construction of nonnegative solutions. Zbl 0863.60057
Schurz, Henri
15
1996
On effects of discretization on estimators of drift parameters for diffusion processes. Zbl 0873.65134
Kloeden, P. E.; Platen, E.; Schurz, H.; Sørensen, M.
14
1996
Modelling and analysis of stochastic innovation diffusion. Zbl 0925.60062
Schurz, H.
1
1996
Numerical solution of SDE through computer experiments. Including floppy disk. Zbl 0789.65100
Kloeden, Peter E.; Platen, Eckhard; Schurz, Henri
117
1994
Higher order approximate Markov chain filters. Zbl 0783.60045
Kloeden, P. E.; Platen, E.; Schurz, H.
4
1993
The numerical solution of nonlinear stochastic dynamical systems: A brief introduction. Zbl 0876.65097
Kloeden, P. E.; Platen, E.; Schurz, H.
13
1991
all top 5

Cited by 536 Authors

16 Gan, Siqing
15 Allen, Edward James
15 Mao, Xuerong
15 Schurz, Henri
10 Hosseini, Seyed Mohammad
10 Jimenez, Juan Carlos
9 Kuznetsov, Dmitriĭ Feliksovich
9 Tocino, Alicia
8 Allen, Linda J. S.
8 Burrage, Kevin
7 Liu, Wei
7 Senosiain, M. J.
6 Carbonell, Felix
6 Jentzen, Arnulf
6 Rodkina, Alexandra
6 Wu, Fuke
6 Yuan, Chenggui
5 Bashkirtseva, Irina Adol’fovna
5 Wang, Xiaojie
4 Balasuriya, Sanjeeva
4 Biscay, Rolando J.
4 Fan, Zhencheng
4 Guo, Qian
4 Gutierrez-Sanchez, Ramon
4 Higham, Desmond J.
4 Hu, Lin
4 Hutzenthaler, Martin
4 İzgi, Burhaneddin
4 Kloeden, Peter Eris
4 Lang, Annika
4 Nafidi, Ahmed
4 Nguyen Huu Du
4 Platen, Eckhard
4 Ryashko, Lev Borisovich
4 Yu, Zhanhua
4 Zhang, Qimin
3 Alcock, Jamie
3 Arciniega, Armando
3 Cao, Wanrong
3 de la Cruz, H.
3 Deng, Feiqi
3 Fatemion Aghda, A. S.
3 Guo, Yongfeng
3 Halidias, Nikolaos
3 Hofmann, Norbert
3 Huang, Chengming
3 Kahl, Christian
3 Kim, Myungsuk
3 Lan, Guangqiang
3 Men, Weiwei
3 Mora, Carlos M.
3 Raha, Soumyendu
3 Rathinasamy, Anandaraman
3 Román, Patricia
3 Romero, Desirée
3 Szpruch, Lukasz
3 Tan, Jianguo
3 Vadillo, Fernando
3 Wang, Desheng
3 Wang, Suojin
3 Yin, Zhengwei
3 Zhang, Chengjian
3 Zhu, Quanxin
2 Aboul-Hassan, Abdel-Karim
2 Ahmadian, Davood
2 Amiri, Sadegh
2 Appleby, John A. D.
2 Arif, Muhammad Shoaib
2 Berkolaiko, Gregory
2 Bessaih, Hakima
2 Buckwar, Evelyn
2 Burrage, Pamela M.
2 Cetin, Coskun
2 Chen, Bin
2 de la Hoz, Francisco
2 Doubova, Anna
2 Duran, Ahmet
2 Eissa, Mahmoud A.
2 Ekanayake, Amy J.
2 El Fatini, Mohamed
2 Ewald, Brian D.
2 Fragoso, Marcelo Dutra
2 Guo, Meihui
2 Guo, Shangjiang
2 Haghighi, Amir
2 Hong, Yongmiao
2 Horváth Bokor, Rózsa
2 Hu, Yaozhong
2 Jang, Sophia R.-J.
2 Jiang, Yanan
2 Khaliq, Abdul Q. M.
2 Kim, Dongjin
2 Lee, Sangyeol
2 Leite, Saul C.
2 Leonenko, G. M.
2 Li, Qiyong
2 Li, Yong
2 Lin, Liang-Ching
2 Liu, Linna
2 Liu, Mingzhu
...and 436 more Authors
all top 5

Cited in 125 Serials

56 Journal of Computational and Applied Mathematics
33 Applied Mathematics and Computation
18 Applied Numerical Mathematics
15 Stochastic Analysis and Applications
13 Numerical Algorithms
12 Advances in Difference Equations
10 BIT
8 Journal of Computational Physics
7 International Journal of Computer Mathematics
6 Journal of Mathematical Analysis and Applications
6 Statistics & Probability Letters
6 Computational Statistics and Data Analysis
6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
6 Journal of Difference Equations and Applications
6 Methodology and Computing in Applied Probability
6 Differentsial’nye Uravneniya i Protsessy Upravleniya
5 Mathematical Biosciences
5 Mathematics and Computers in Simulation
5 Numerische Mathematik
5 Discrete Dynamics in Nature and Society
4 Mathematical Methods in the Applied Sciences
4 Mathematics of Computation
4 Journal of Applied Probability
4 Communications in Nonlinear Science and Numerical Simulation
4 Quantitative Finance
4 Journal of Biological Dynamics
3 Computers & Mathematics with Applications
3 Journal of Mathematical Biology
3 Computational Mathematics and Mathematical Physics
3 Automation and Remote Control
3 Abstract and Applied Analysis
3 Discrete and Continuous Dynamical Systems. Series B
3 International Journal of Biomathematics
3 Journal of Theoretical Biology
2 Journal of Statistical Physics
2 Bulletin of Mathematical Biology
2 Chaos, Solitons and Fractals
2 The Annals of Probability
2 Journal of Econometrics
2 Quarterly of Applied Mathematics
2 SIAM Journal on Numerical Analysis
2 Cybernetics and Systems
2 Physica D
2 Applied Mathematics Letters
2 Journal of Statistical Computation and Simulation
2 SIAM Review
2 Journal of Dynamics and Differential Equations
2 Computational and Applied Mathematics
2 Random Operators and Stochastic Equations
2 Advances in Computational Mathematics
2 Monte Carlo Methods and Applications
2 Chaos
2 Stochastics and Dynamics
2 Communications on Pure and Applied Analysis
2 Journal of Applied Mathematics and Computing
2 Mathematical Biosciences and Engineering
2 Stochastics
2 Science China. Mathematics
1 Bulletin of the Australian Mathematical Society
1 Computer Physics Communications
1 Journal of the Franklin Institute
1 Physica A
1 Acta Mathematica Vietnamica
1 Annals of the Institute of Statistical Mathematics
1 Applied Mathematics and Optimization
1 Biometrics
1 Calcolo
1 Journal of Differential Equations
1 Journal of Multivariate Analysis
1 Memoirs of the American Mathematical Society
1 Proceedings of the American Mathematical Society
1 Theoretical Population Biology
1 Insurance Mathematics & Economics
1 Statistics
1 Optimization
1 Journal of Complexity
1 Statistical Science
1 Numerical Methods for Partial Differential Equations
1 Journal of Scientific Computing
1 Japan Journal of Industrial and Applied Mathematics
1 The Annals of Applied Probability
1 Applied Mathematical Modelling
1 Communications in Statistics. Theory and Methods
1 European Journal of Operational Research
1 Stochastic Processes and their Applications
1 Celestial Mechanics and Dynamical Astronomy
1 Potential Analysis
1 Test
1 Statistical Papers
1 Filomat
1 Journal of Computational Neuroscience
1 Journal of Mathematical Chemistry
1 Mathematical Problems in Engineering
1 Mathematical Population Studies
1 Doklady Mathematics
1 Differential Equations and Dynamical Systems
1 Nonlinear Dynamics
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 International Journal of Theoretical and Applied Finance
1 Flow, Turbulence and Combustion
...and 25 more Serials

Citations by Year