Schurz, Henri Nonlinear stochastic wave equations in 1D with fractional Laplacian, power-law nonlinearity and additive \(Q\)-regular noise. (English) Zbl 07786766 Results Appl. Math. 20, Article ID 100411, 16 p. (2023). MSC: 35R60 35C10 35L71 35R11 PDFBibTeX XMLCite \textit{H. Schurz}, Results Appl. Math. 20, Article ID 100411, 16 p. (2023; Zbl 07786766) Full Text: DOI
Schurz, Henri; Talafha, Abdallah M. Existence, uniqueness, and energy of approximate Fourier solutions of modified stochastic sine-Gordon equation with power-law nonlinearity in 1D. (English) Zbl 1499.35382 Int. J. Appl. Comput. Math. 7, No. 4, Paper No. 126, 22 p. (2021). MSC: 35L20 35R60 60H10 60H15 60H35 65C30 70K20 74J30 PDFBibTeX XMLCite \textit{H. Schurz} and \textit{A. M. Talafha}, Int. J. Appl. Comput. Math. 7, No. 4, Paper No. 126, 22 p. (2021; Zbl 1499.35382) Full Text: DOI
Schurz, Henri; Talafha, Abdallah M. Existence, uniqueness, and energy of modified stochastic sine-Gordon equation with multiplicative noise on one-dimensional domain. (English) Zbl 1415.60079 Budzban, Gregory (ed.) et al., Probability on algebraic and geometric structures. International research conference in honor of Philip Feinsilver, Salah-Eldin A. Mohammed, and Arunava Mukherjea, Southern Illinois University, Carbondale, IL, USA, June 5–7, 2014. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 668, 179-197 (2016). MSC: 60H15 35R60 37H10 60H10 60H30 65N30 PDFBibTeX XMLCite \textit{H. Schurz} and \textit{A. M. Talafha}, Contemp. Math. 668, 179--197 (2016; Zbl 1415.60079) Full Text: DOI
Schurz, Henri; Tosun, Kursad Stochastic asymptotic stability of SIR model with variable diffusion rates. (English) Zbl 1312.60077 J. Dyn. Differ. Equations 27, No. 1, 69-82 (2015). MSC: 60H10 60H30 92D30 93E15 PDFBibTeX XMLCite \textit{H. Schurz} and \textit{K. Tosun}, J. Dyn. Differ. Equations 27, No. 1, 69--82 (2015; Zbl 1312.60077) Full Text: DOI
Schurz, Henri; Hazaimeh, Haziem M. Existence, uniqueness, and stability of stochastic wave equation with cubic nonlinearities in two dimensions. (English) Zbl 1318.60069 J. Math. Anal. Appl. 418, No. 2, 775-795 (2014). Reviewer: Ruhollah Jahanipur (Kashan) MSC: 60H15 60H10 35R60 60G17 35J05 PDFBibTeX XMLCite \textit{H. Schurz} and \textit{H. M. Hazaimeh}, J. Math. Anal. Appl. 418, No. 2, 775--795 (2014; Zbl 1318.60069) Full Text: DOI
Schurz, Henri Basic concepts of numerical analysis of stochastic differential equations explained by balanced implicit theta methods. (English) Zbl 1258.60042 Zili, Mounir (ed.) et al., Stochastic differential equations and processes. SAAP, Tunisia, October 7-9, 2010. Selected papers based on the presentations at the international conference on stochastic analysis and applied probability. Berlin: Springer (ISBN 978-3-642-22367-9/hbk; 978-3-642-22368-6/ebook). Springer Proceedings in Mathematics 7, 1-139 (2012). Reviewer: Martin Riedler (Wien) MSC: 60H35 65C30 60H10 PDFBibTeX XMLCite \textit{H. Schurz}, Springer Proc. Math. 7, 1--139 (2012; Zbl 1258.60042) Full Text: DOI
Schurz, Henri Algorithmic solution of stochastic differential equations. (English) Zbl 1461.65008 Algorithms (Basel) 3, No. 3, 216-223 (2010). MSC: 65C30 60H10 34F05 PDFBibTeX XMLCite \textit{H. Schurz}, Algorithms (Basel) 3, No. 3, 216--223 (2010; Zbl 1461.65008) Full Text: DOI
Allen, Edward J.; Allen, Linda J. S.; Schurz, Henri A comparison of persistence-time estimation for discrete and continuous stochastic population models that include demographic and environmental variability. (English) Zbl 1071.92032 Math. Biosci. 196, No. 1, 14-38 (2005). MSC: 92D25 60H10 60J20 60J80 PDFBibTeX XMLCite \textit{E. J. Allen} et al., Math. Biosci. 196, No. 1, 14--38 (2005; Zbl 1071.92032) Full Text: DOI
Schurz, Henri Remarks on Taylor series expansions and conditional expectations for Stratonovich SDEs with complete \(V\)-commutativity. (English) Zbl 1050.60062 Stochastic Anal. Appl. 21, No. 4, 865-894 (2003). Reviewer: Evelyn Buckwar (Berlin) MSC: 60H10 34F05 37H10 65C20 65C30 PDFBibTeX XMLCite \textit{H. Schurz}, Stochastic Anal. Appl. 21, No. 4, 865--894 (2003; Zbl 1050.60062) Full Text: DOI
Schurz, Henri Preservation of probabilistic laws through Euler methods for Ornstein-Uhlenbeck process. (English) Zbl 0931.60047 Stochastic Anal. Appl. 17, No. 3, 463-486 (1999). Reviewer: Eckhard Platen (Broadway) MSC: 60H10 65C20 65L20 PDFBibTeX XMLCite \textit{H. Schurz}, Stochastic Anal. Appl. 17, No. 3, 463--486 (1999; Zbl 0931.60047) Full Text: DOI
Schurz, Henri Asymptotical mean square stability of an equilibrium point of some linear numerical solutions with multiplicative noise. (English) Zbl 0860.60040 Stochastic Anal. Appl. 14, No. 3, 313-353 (1996). MSC: 60H10 65C20 65L20 65C99 PDFBibTeX XMLCite \textit{H. Schurz}, Stochastic Anal. Appl. 14, No. 3, 313--353 (1996; Zbl 0860.60040) Full Text: DOI
Karmeshu; Schurz, Henri Effects of distributed delays on the stability of structures under seismic excitation and multiplicative noise. (English) Zbl 1048.74544 Sādhanā 20, No. 2-4, 451-474 (1995). MSC: 74H55 74H50 26A15 PDFBibTeX XMLCite \textit{Karmeshu} and \textit{H. Schurz}, Sādhanā 20, No. 2--4, 451--474 (1995; Zbl 1048.74544) Full Text: DOI