Wang, Guanjie; Liao, Qifeng Reduced basis stochastic Galerkin methods for partial differential equations with random inputs. (English) Zbl 07764805 Appl. Math. Comput. 463, Article ID 128375, 15 p. (2024). MSC: 60Hxx 65Cxx 65Nxx PDFBibTeX XMLCite \textit{G. Wang} and \textit{Q. Liao}, Appl. Math. Comput. 463, Article ID 128375, 15 p. (2024; Zbl 07764805) Full Text: DOI arXiv
Keanini, Russell G.; Dahlberg, Jerry; Brown, Philip; Morovati, Mehdi; Moradi, Hamidreza; Jacobs, Donald; Tkacik, Peter T. Stochastic estimation of Green’s functions with application to diffusion and advection-diffusion-reaction problems. (English) Zbl 07736210 Appl. Math. Comput. 457, Article ID 128186, 20 p. (2023). MSC: 60H10 35-01 35R30 35J05 62G05 PDFBibTeX XMLCite \textit{R. G. Keanini} et al., Appl. Math. Comput. 457, Article ID 128186, 20 p. (2023; Zbl 07736210) Full Text: DOI arXiv
Li, Yao; Meredith, Caleb Artificial neural network solver for time-dependent Fokker-Planck equations. (English) Zbl 07736209 Appl. Math. Comput. 457, Article ID 128185, 24 p. (2023). MSC: 65Cxx 68Txx 35Qxx PDFBibTeX XMLCite \textit{Y. Li} and \textit{C. Meredith}, Appl. Math. Comput. 457, Article ID 128185, 24 p. (2023; Zbl 07736209) Full Text: DOI arXiv
Jentzen, Arnulf; Welti, Timo Overall error analysis for the training of deep neural networks via stochastic gradient descent with random initialisation. (English) Zbl 07704193 Appl. Math. Comput. 455, Article ID 127907, 34 p. (2023). MSC: 68Txx 41Axx 65Mxx PDFBibTeX XMLCite \textit{A. Jentzen} and \textit{T. Welti}, Appl. Math. Comput. 455, Article ID 127907, 34 p. (2023; Zbl 07704193) Full Text: DOI arXiv
Liu, Xinfei; Yang, Xiaoyuan Numerical approximation of the stochastic equation driven by the fractional noise. (English) Zbl 07702347 Appl. Math. Comput. 452, Article ID 128053, 16 p. (2023). MSC: 65Mxx 60Hxx 35Rxx PDFBibTeX XMLCite \textit{X. Liu} and \textit{X. Yang}, Appl. Math. Comput. 452, Article ID 128053, 16 p. (2023; Zbl 07702347) Full Text: DOI
Hu, Yaozhong; Li, Juan; Mi, Chao BSDEs generated by fractional space-time noise and related SPDEs. (English) Zbl 07701066 Appl. Math. Comput. 450, Article ID 127979, 30 p. (2023). MSC: 60Hxx 60Gxx 35Rxx PDFBibTeX XMLCite \textit{Y. Hu} et al., Appl. Math. Comput. 450, Article ID 127979, 30 p. (2023; Zbl 07701066) Full Text: DOI arXiv
Al-Aradi, Ali; Correia, Adolfo; Jardim, Gabriel; de Freitas Naiff, Danilo; Saporito, Yuri Extensions of the deep Galerkin method. (English) Zbl 1510.65010 Appl. Math. Comput. 430, Article ID 127287, 18 p. (2022). MSC: 65C30 60H30 60H35 68T07 65M99 65M70 PDFBibTeX XMLCite \textit{A. Al-Aradi} et al., Appl. Math. Comput. 430, Article ID 127287, 18 p. (2022; Zbl 1510.65010) Full Text: DOI arXiv
Song, Xiaona; Zhang, Renzhi; Song, Shuai; Zhang, Yijun Fuzzy adaptive-event-triggered control for semi-linear parabolic PDE systems with stochastic actuator failures. (English) Zbl 1510.93155 Appl. Math. Comput. 426, Article ID 127127, 15 p. (2022). MSC: 93C40 93C57 93D15 35K10 93C20 93E15 93C42 PDFBibTeX XMLCite \textit{X. Song} et al., Appl. Math. Comput. 426, Article ID 127127, 15 p. (2022; Zbl 1510.93155) Full Text: DOI
Li, Nan; Wang, Song; Zhang, Kai Price options on investment project expansion under commodity price and volatility uncertainties using a novel finite difference method. (English) Zbl 1510.91189 Appl. Math. Comput. 421, Article ID 126937, 14 p. (2022). MSC: 91G60 60H15 65C30 91G50 PDFBibTeX XMLCite \textit{N. Li} et al., Appl. Math. Comput. 421, Article ID 126937, 14 p. (2022; Zbl 1510.91189) Full Text: DOI
Zheng, Yueyang; Shi, Jingtao A linear-quadratic partially observed Stackelberg stochastic differential game with application. (English) Zbl 1510.91052 Appl. Math. Comput. 420, Article ID 126819, 22 p. (2022). MSC: 91A25 91A65 49K45 49N10 49N70 60H10 93E20 PDFBibTeX XMLCite \textit{Y. Zheng} and \textit{J. Shi}, Appl. Math. Comput. 420, Article ID 126819, 22 p. (2022; Zbl 1510.91052) Full Text: DOI arXiv
Kaur, Navjot; Goyal, Kavita An adaptive wavelet optimized finite difference B-spline polynomial chaos method for random partial differential equations. (English) Zbl 1510.65280 Appl. Math. Comput. 415, Article ID 126738, 19 p. (2022). MSC: 65M99 60H35 65C30 65D07 65M06 65T60 PDFBibTeX XMLCite \textit{N. Kaur} and \textit{K. Goyal}, Appl. Math. Comput. 415, Article ID 126738, 19 p. (2022; Zbl 1510.65280) Full Text: DOI
Chai, Shimin; Wang, Yu; Zhao, Wenju; Zou, Yongkui A \(C^0\) weak Galerkin method for linear Cahn-Hilliard-Cook equation with random initial condition. (English) Zbl 1510.65240 Appl. Math. Comput. 414, Article ID 126659, 11 p. (2022). MSC: 65M60 35R60 PDFBibTeX XMLCite \textit{S. Chai} et al., Appl. Math. Comput. 414, Article ID 126659, 11 p. (2022; Zbl 1510.65240) Full Text: DOI
Arregui, Iñigo; Simonella, Roberta; Vázquez, Carlos Total value adjustment for European options in a multi-currency setting. (English) Zbl 1510.91161 Appl. Math. Comput. 413, Article ID 126647, 14 p. (2022). MSC: 91G20 60H15 91G60 PDFBibTeX XMLCite \textit{I. Arregui} et al., Appl. Math. Comput. 413, Article ID 126647, 14 p. (2022; Zbl 1510.91161) Full Text: DOI
Yang, Shuang; Li, Yangrong Numerical attractors and approximations for stochastic or deterministic sine-Gordon lattice equations. (English) Zbl 1510.34118 Appl. Math. Comput. 413, Article ID 126640, 19 p. (2022). MSC: 34D45 34A33 37L60 37M22 60H15 35B41 37L30 35R60 PDFBibTeX XMLCite \textit{S. Yang} and \textit{Y. Li}, Appl. Math. Comput. 413, Article ID 126640, 19 p. (2022; Zbl 1510.34118) Full Text: DOI
Breckner, Brigitte E.; Lisei, Hannelore; Ionuţ Şimon, Gheorghe Optimal control results for a class of stochastic Schrödinger equations. (English) Zbl 1510.93369 Appl. Math. Comput. 407, Article ID 126310, 17 p. (2021). MSC: 93E20 49J55 60H15 81Q05 PDFBibTeX XMLCite \textit{B. E. Breckner} et al., Appl. Math. Comput. 407, Article ID 126310, 17 p. (2021; Zbl 1510.93369) Full Text: DOI
Baamonde-Seoane, María A.; del Carmen Calvo-Garrido, María; Coulon, Michael; Vázquez, Carlos Numerical solution of a nonlinear PDE model for pricing renewable energy certificates (RECs). (English) Zbl 1510.91178 Appl. Math. Comput. 404, Article ID 126199, 12 p. (2021). MSC: 91G60 65M06 35R60 91B76 91G20 PDFBibTeX XMLCite \textit{M. A. Baamonde-Seoane} et al., Appl. Math. Comput. 404, Article ID 126199, 12 p. (2021; Zbl 1510.91178) Full Text: DOI
Feng, Lichao; Liu, Lei; Wu, Zhihui; Liu, Qiumei Stability analysis for nonlinear Markov jump neutral stochastic functional differential systems. (English) Zbl 1508.93317 Appl. Math. Comput. 394, Article ID 125782, 13 p. (2021). MSC: 93E15 60H15 34K20 34K40 34K50 60J76 93D20 93D23 PDFBibTeX XMLCite \textit{L. Feng} et al., Appl. Math. Comput. 394, Article ID 125782, 13 p. (2021; Zbl 1508.93317) Full Text: DOI
Song, Xiaona; Wang, Mi; Song, Shuai; Wang, Zhen Observer-based sliding mode control for stochastic hyperbolic PDE systems with quantized output signal. (English) Zbl 1508.93154 Appl. Math. Comput. 393, Article ID 125643, 16 p. (2021). MSC: 93C20 35Q93 60H15 93B12 93B53 PDFBibTeX XMLCite \textit{X. Song} et al., Appl. Math. Comput. 393, Article ID 125643, 16 p. (2021; Zbl 1508.93154) Full Text: DOI
Han, Xin-Xin; Wu, Kai-Ning; Ding, Xiaohua Finite-time stabilization for stochastic reaction-diffusion systems with Markovian switching via boundary control. (English) Zbl 1508.93237 Appl. Math. Comput. 385, Article ID 125422, 11 p. (2020). MSC: 93D15 93E15 60H15 35R60 60J28 PDFBibTeX XMLCite \textit{X.-X. Han} et al., Appl. Math. Comput. 385, Article ID 125422, 11 p. (2020; Zbl 1508.93237) Full Text: DOI
Zhan, Qingyi; Zhang, Zhifang; Xie, Xiangdong Numerical study on \((\omega,L\delta)\)-Lipschitz shadowing of stochastic differential equations. (English) Zbl 1488.65017 Appl. Math. Comput. 376, Article ID 125108, 11 p. (2020). MSC: 65C30 37H10 37C50 60H10 60H15 65P20 PDFBibTeX XMLCite \textit{Q. Zhan} et al., Appl. Math. Comput. 376, Article ID 125108, 11 p. (2020; Zbl 1488.65017) Full Text: DOI
Suriguga, Ma; Kao, Yonggui; Hyder, Abd-Allah Uniform stability of delayed impulsive reaction-diffusion systems. (English) Zbl 1433.35175 Appl. Math. Comput. 372, Article ID 124954, 9 p. (2020). MSC: 35K57 35B35 35R12 93E15 93D20 PDFBibTeX XMLCite \textit{M. Suriguga} et al., Appl. Math. Comput. 372, Article ID 124954, 9 p. (2020; Zbl 1433.35175) Full Text: DOI
Liu, Kai Stability in distribution for stochastic differential equations with memory driven by positive semigroups and Lévy processes. (English) Zbl 1433.60057 Appl. Math. Comput. 362, Article ID 124580, 10 p. (2019). MSC: 60H15 60G15 60H05 34K30 34K50 47D06 PDFBibTeX XMLCite \textit{K. Liu}, Appl. Math. Comput. 362, Article ID 124580, 10 p. (2019; Zbl 1433.60057) Full Text: DOI
Nguyen Duc Phuong; Nguyen Huy Tuan; Baleanu, Dumitru; Tran Bao Ngoc On Cauchy problem for nonlinear fractional differential equation with random discrete data. (English) Zbl 1433.35451 Appl. Math. Comput. 362, Article ID 124458, 16 p. (2019). MSC: 35R11 35R60 35R30 PDFBibTeX XMLCite \textit{Nguyen Duc Phuong} et al., Appl. Math. Comput. 362, Article ID 124458, 16 p. (2019; Zbl 1433.35451) Full Text: DOI
Zhang, Tian; Chen, Huabin The stability with a general decay of stochastic delay differential equations with Markovian switching. (English) Zbl 1428.60086 Appl. Math. Comput. 359, 294-307 (2019). MSC: 60H10 34K20 34K50 60H15 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{H. Chen}, Appl. Math. Comput. 359, 294--307 (2019; Zbl 1428.60086) Full Text: DOI
Gao, Rong; Ma, Nana; Sun, Gaoji Stability of solution for uncertain wave equation. (English) Zbl 1428.35153 Appl. Math. Comput. 356, 469-478 (2019). MSC: 35K20 35B35 35R60 60H15 PDFBibTeX XMLCite \textit{R. Gao} et al., Appl. Math. Comput. 356, 469--478 (2019; Zbl 1428.35153) Full Text: DOI
Khan, Feroz; Gan, Siqing Pathwise convergence of an efficient scheme for SPDEs with non-globally Lipschitz nonlinearity. (English) Zbl 1429.65259 Appl. Math. Comput. 353, 114-133 (2019). MSC: 65M75 60H15 65C30 60H35 PDFBibTeX XMLCite \textit{F. Khan} and \textit{S. Gan}, Appl. Math. Comput. 353, 114--133 (2019; Zbl 1429.65259) Full Text: DOI
Mena, H.; Pfurtscheller, L. An efficient SPDE approach for El Niño. (English) Zbl 1428.86005 Appl. Math. Comput. 352, 146-156 (2019). MSC: 86A05 86A10 35Q86 35R60 86-08 PDFBibTeX XMLCite \textit{H. Mena} and \textit{L. Pfurtscheller}, Appl. Math. Comput. 352, 146--156 (2019; Zbl 1428.86005) Full Text: DOI arXiv
Covei, Dragos-Patru Symmetric solutions for an elliptic partial differential equation that arises in stochastic production planning with production constraints. (English) Zbl 1428.90060 Appl. Math. Comput. 350, 190-197 (2019). MSC: 90B30 35J91 93E20 35J60 PDFBibTeX XMLCite \textit{D.-P. Covei}, Appl. Math. Comput. 350, 190--197 (2019; Zbl 1428.90060) Full Text: DOI
Han, Minggang; Ma, Qiang; Ding, Xiaohua High-order stochastic symplectic partitioned Runge-Kutta methods for stochastic Hamiltonian systems with additive noise. (English) Zbl 1429.65016 Appl. Math. Comput. 346, 575-593 (2019). MSC: 65C30 60H10 35R60 37N30 60H35 65P10 PDFBibTeX XMLCite \textit{M. Han} et al., Appl. Math. Comput. 346, 575--593 (2019; Zbl 1429.65016) Full Text: DOI
Tambue, Antoine; Mukam, Jean Daniel Strong convergence of the linear implicit Euler method for the finite element discretization of semilinear SPDEs driven by multiplicative or additive noise. (English) Zbl 1429.65260 Appl. Math. Comput. 346, 23-40 (2019). MSC: 65M75 35R60 60H15 60H35 PDFBibTeX XMLCite \textit{A. Tambue} and \textit{J. D. Mukam}, Appl. Math. Comput. 346, 23--40 (2019; Zbl 1429.65260) Full Text: DOI arXiv
Xu, Liping; Luo, Jiaowan Viability for stochastic functional differential equations in Hilbert spaces driven by fractional Brownian motion. (English) Zbl 1428.60091 Appl. Math. Comput. 341, 93-110 (2019). MSC: 60H15 34K30 34K50 45N05 60G15 60H05 PDFBibTeX XMLCite \textit{L. Xu} and \textit{J. Luo}, Appl. Math. Comput. 341, 93--110 (2019; Zbl 1428.60091) Full Text: DOI
Padgett, Joshua L.; Sheng, Qin Numerical solution of degenerate stochastic Kawarada equations via a semi-discretized approach. (English) Zbl 1428.60098 Appl. Math. Comput. 325, 210-226 (2018). MSC: 60H35 35R60 35K57 35K65 65M20 65C30 PDFBibTeX XMLCite \textit{J. L. Padgett} and \textit{Q. Sheng}, Appl. Math. Comput. 325, 210--226 (2018; Zbl 1428.60098) Full Text: DOI arXiv
Matculevich, Svetlana; Wolfmayr, Monika On the a posteriori error analysis for linear Fokker-Planck models in convection-dominated diffusion problems. (English) Zbl 1428.82048 Appl. Math. Comput. 339, 779-804 (2018). MSC: 82C31 82M10 82M99 65N30 65N15 PDFBibTeX XMLCite \textit{S. Matculevich} and \textit{M. Wolfmayr}, Appl. Math. Comput. 339, 779--804 (2018; Zbl 1428.82048) Full Text: DOI arXiv
Majee, Ananta K. Convergence of a flux-splitting finite volume scheme for conservation laws driven by Lévy noise. (English) Zbl 1427.65208 Appl. Math. Comput. 338, 676-697 (2018). MSC: 65M08 45K05 46S50 60G51 PDFBibTeX XMLCite \textit{A. K. Majee}, Appl. Math. Comput. 338, 676--697 (2018; Zbl 1427.65208) Full Text: DOI arXiv
Zhang, Caihong; Kao, Yonggui; Kao, Binghua; Zhang, Tiezhu Stability of Markovian jump stochastic parabolic Itô equations with generally uncertain transition rates. (English) Zbl 1427.93272 Appl. Math. Comput. 337, 399-407 (2018). MSC: 93E15 60H15 60J74 35R60 PDFBibTeX XMLCite \textit{C. Zhang} et al., Appl. Math. Comput. 337, 399--407 (2018; Zbl 1427.93272) Full Text: DOI
Xu, Liping; Li, Zhi Stochastic fractional evolution equations with fractional Brownian motion and infinite delay. (English) Zbl 1427.35342 Appl. Math. Comput. 336, 36-46 (2018). MSC: 35R11 35R60 60H15 60G15 60H05 PDFBibTeX XMLCite \textit{L. Xu} and \textit{Z. Li}, Appl. Math. Comput. 336, 36--46 (2018; Zbl 1427.35342) Full Text: DOI
Xie, Jiaquan; Yao, Zhibin; Gui, Hailian; Zhao, Fuqiang; Li, Dongyang A two-dimensional Chebyshev wavelets approach for solving the Fokker-Planck equations of time and space fractional derivatives type with variable coefficients. (English) Zbl 1427.65310 Appl. Math. Comput. 332, 197-208 (2018). MSC: 65M70 35Q84 35R11 82C31 PDFBibTeX XMLCite \textit{J. Xie} et al., Appl. Math. Comput. 332, 197--208 (2018; Zbl 1427.65310) Full Text: DOI
Lord, Gabriel J.; Tambue, Antoine A modified semi-implicit Euler-Maruyama scheme for finite element discretization of SPDEs with additive noise. (English) Zbl 1427.65316 Appl. Math. Comput. 332, 105-122 (2018). MSC: 65M75 60H15 60H35 76M10 76S05 PDFBibTeX XMLCite \textit{G. J. Lord} and \textit{A. Tambue}, Appl. Math. Comput. 332, 105--122 (2018; Zbl 1427.65316) Full Text: DOI arXiv
Yang, Xu; Zhao, Weidong Finite element methods and their error analysis for SPDEs driven by Gaussian and non-Gaussian noises. (English) Zbl 1427.65270 Appl. Math. Comput. 332, 58-75 (2018). MSC: 65M60 35R60 60H15 60H35 65M15 65M75 PDFBibTeX XMLCite \textit{X. Yang} and \textit{W. Zhao}, Appl. Math. Comput. 332, 58--75 (2018; Zbl 1427.65270) Full Text: DOI
Wu, Kai-Ning; Sun, Han-Xiao; Yang, Baoqing; Lim, Cheng-Chew Finite-time boundary control for delay reaction-diffusion systems. (English) Zbl 1427.93093 Appl. Math. Comput. 329, 52-63 (2018). MSC: 93C20 93E15 93D15 35K57 93B36 PDFBibTeX XMLCite \textit{K.-N. Wu} et al., Appl. Math. Comput. 329, 52--63 (2018; Zbl 1427.93093) Full Text: DOI
Wu, Zhen; Zhuang, Yi Linear-quadratic partially observed forward-backward stochastic differential games and its application in finance. (English) Zbl 1427.91028 Appl. Math. Comput. 321, 577-592 (2018). MSC: 91A15 93E20 60H10 91G80 93E11 PDFBibTeX XMLCite \textit{Z. Wu} and \textit{Y. Zhuang}, Appl. Math. Comput. 321, 577--592 (2018; Zbl 1427.91028) Full Text: DOI
Gao, Peng The stochastic Korteweg-de Vries equation on a bounded domain. (English) Zbl 1426.60087 Appl. Math. Comput. 310, 97-111 (2017). MSC: 60H15 35Q53 35R60 PDFBibTeX XMLCite \textit{P. Gao}, Appl. Math. Comput. 310, 97--111 (2017; Zbl 1426.60087) Full Text: DOI
Gao, Rong Uncertain wave equation with infinite half-boundary. (English) Zbl 1411.35190 Appl. Math. Comput. 304, 28-40 (2017). MSC: 35L20 35R60 60H15 PDFBibTeX XMLCite \textit{R. Gao}, Appl. Math. Comput. 304, 28--40 (2017; Zbl 1411.35190) Full Text: DOI
Meng, Lixin; Li, Jingyu; Tao, Jian Global energy solutions to a stochastic Schrödinger-Poisson system with multiplicative noise in two dimensions. (English) Zbl 1411.35294 Appl. Math. Comput. 300, 40-59 (2017). MSC: 35R60 60H15 35Q55 PDFBibTeX XMLCite \textit{L. Meng} et al., Appl. Math. Comput. 300, 40--59 (2017; Zbl 1411.35294) Full Text: DOI
Gaviraghi, B.; Annunziato, M.; Borzì, A. Analysis of splitting methods for solving a partial integro-differential Fokker-Planck equation. (English) Zbl 1411.65110 Appl. Math. Comput. 294, 1-17 (2017). MSC: 65M06 35Q84 45K05 60J75 65M12 82C31 PDFBibTeX XMLCite \textit{B. Gaviraghi} et al., Appl. Math. Comput. 294, 1--17 (2017; Zbl 1411.65110) Full Text: DOI
Yan, Zuomao; Lu, Fangxia Approximate controllability of a multi-valued fractional impulsive stochastic partial integro-differential equation with infinite delay. (English) Zbl 1410.93026 Appl. Math. Comput. 292, 425-447 (2017). MSC: 93B05 35R11 45K05 60H15 93C25 93E03 PDFBibTeX XMLCite \textit{Z. Yan} and \textit{F. Lu}, Appl. Math. Comput. 292, 425--447 (2017; Zbl 1410.93026) Full Text: DOI
Jiang, Feng; Yang, Hua; Shen, Yi A note on exponential stability for second-order neutral stochastic partial differential equations with infinite delays in the presence of impulses. (English) Zbl 1410.35294 Appl. Math. Comput. 287-288, 125-133 (2016). MSC: 35R60 35B30 60H15 PDFBibTeX XMLCite \textit{F. Jiang} et al., Appl. Math. Comput. 287--288, 125--133 (2016; Zbl 1410.35294) Full Text: DOI
Zhou, Shengfan; Tian, Yongxiao; Wang, Zhaojuan Fractal dimension of random attractors for stochastic non-autonomous reaction-diffusion equations. (English) Zbl 1410.37068 Appl. Math. Comput. 276, 80-95 (2016). MSC: 37L55 28A78 35B40 35B41 35R60 60H15 PDFBibTeX XMLCite \textit{S. Zhou} et al., Appl. Math. Comput. 276, 80--95 (2016; Zbl 1410.37068) Full Text: DOI
Wang, Liming; Wu, Kai-Ning; Zhu, Ya-Nan; Ding, Xiaohua Mean square \(H_\infty\) synchronization of coupled stochastic partial differential systems. (English) Zbl 1410.93045 Appl. Math. Comput. 275, 386-393 (2016). MSC: 93B36 35R60 93C40 PDFBibTeX XMLCite \textit{L. Wang} et al., Appl. Math. Comput. 275, 386--393 (2016; Zbl 1410.93045) Full Text: DOI
Wen, Jianghui; Wang, Xiangjun; Mao, Shuhua; Xiao, Xinping Maximum likelihood estimation of McKean-Vlasov stochastic differential equation and its application. (English) Zbl 1410.62160 Appl. Math. Comput. 274, 237-246 (2016). MSC: 62M05 35R60 60H10 PDFBibTeX XMLCite \textit{J. Wen} et al., Appl. Math. Comput. 274, 237--246 (2016; Zbl 1410.62160) Full Text: DOI
Cui, Hongyong; Li, Yangrong Existence and upper semicontinuity of random attractors for stochastic degenerate parabolic equations with multiplicative noises. (English) Zbl 1410.35292 Appl. Math. Comput. 271, 777-789 (2015). MSC: 35R60 60H15 35B41 35K65 37H10 PDFBibTeX XMLCite \textit{H. Cui} and \textit{Y. Li}, Appl. Math. Comput. 271, 777--789 (2015; Zbl 1410.35292) Full Text: DOI
Lu, Liang; Liu, Zhenhai Existence and controllability results for stochastic fractional evolution hemivariational inequalities. (English) Zbl 1410.34027 Appl. Math. Comput. 268, 1164-1176 (2015). MSC: 34A08 34G25 60H15 60H99 93B05 PDFBibTeX XMLCite \textit{L. Lu} and \textit{Z. Liu}, Appl. Math. Comput. 268, 1164--1176 (2015; Zbl 1410.34027) Full Text: DOI
Mao, Wei; Hu, Liangjian; Mao, Xuerong The existence and asymptotic estimations of solutions to stochastic pantograph equations with diffusion and Lévy jumps. (English) Zbl 1410.60063 Appl. Math. Comput. 268, 883-896 (2015). MSC: 60H15 60J75 PDFBibTeX XMLCite \textit{W. Mao} et al., Appl. Math. Comput. 268, 883--896 (2015; Zbl 1410.60063) Full Text: DOI Link
Du, Bo Successive approximation of neutral functional stochastic differential equations with variable delays. (English) Zbl 1410.60062 Appl. Math. Comput. 268, 609-615 (2015). MSC: 60H15 34K07 34K30 34K50 60J65 60J75 PDFBibTeX XMLCite \textit{B. Du}, Appl. Math. Comput. 268, 609--615 (2015; Zbl 1410.60062) Full Text: DOI
Grillo, Sebastian; Blanco, Gerardo; Schaerer, Christian E. Path integration for real options. (English) Zbl 1410.91449 Appl. Math. Comput. 265, 120-132 (2015). MSC: 91G20 35R60 35Q91 PDFBibTeX XMLCite \textit{S. Grillo} et al., Appl. Math. Comput. 265, 120--132 (2015; Zbl 1410.91449) Full Text: DOI
Abdel-wahed, M. S.; Elbashbeshy, E. M. A.; Emam, T. G. Flow and heat transfer over a moving surface with non-linear velocity and variable thickness in a nanofluids in the presence of Brownian motion. (English) Zbl 1410.76450 Appl. Math. Comput. 254, 49-62 (2015). MSC: 76T20 60H15 76S05 80A20 82D80 PDFBibTeX XMLCite \textit{M. S. Abdel-wahed} et al., Appl. Math. Comput. 254, 49--62 (2015; Zbl 1410.76450) Full Text: DOI
Casabán, M.-C.; Cortés, J.-C.; Jódar, L. A random Laplace transform method for solving random mixed parabolic differential problems. (English) Zbl 1390.35435 Appl. Math. Comput. 259, 654-667 (2015). MSC: 35R60 35A22 44A10 60H15 65C30 PDFBibTeX XMLCite \textit{M. C. Casabán} et al., Appl. Math. Comput. 259, 654--667 (2015; Zbl 1390.35435) Full Text: DOI Link
Revathi, P.; Sakthivel, R.; Ren, Yong; Marshal Anthoni, S. Existence of almost automorphic mild solutions to non-autonomous neutral stochastic differential equations. (English) Zbl 1410.34247 Appl. Math. Comput. 230, 639-649 (2014). MSC: 34K50 34K14 34K40 60H15 PDFBibTeX XMLCite \textit{P. Revathi} et al., Appl. Math. Comput. 230, 639--649 (2014; Zbl 1410.34247) Full Text: DOI
Chen, Huabin; Zhu, Chuanxi; Zhang, Yingying A note on exponential stability for impulsive neutral stochastic partial functional differential equations. (English) Zbl 1364.35448 Appl. Math. Comput. 227, 139-147 (2014). MSC: 35R60 35R12 35B35 PDFBibTeX XMLCite \textit{H. Chen} et al., Appl. Math. Comput. 227, 139--147 (2014; Zbl 1364.35448) Full Text: DOI
Li, Yin; Zhao, Yulin; Yao, Zheng-an Stochastic exact solutions of the Wick-type stochastic NLS equation. (English) Zbl 1338.35516 Appl. Math. Comput. 249, 209-221 (2014). MSC: 35R60 35Q55 35C08 60H15 65M75 PDFBibTeX XMLCite \textit{Y. Li} et al., Appl. Math. Comput. 249, 209--221 (2014; Zbl 1338.35516) Full Text: DOI
Arthi, G.; Park, Ju H.; Jung, H. Y. Existence and controllability results for second-order impulsive stochastic evolution systems with state-dependent delay. (English) Zbl 1338.34153 Appl. Math. Comput. 248, 328-341 (2014). MSC: 34K50 60H15 93B05 PDFBibTeX XMLCite \textit{G. Arthi} et al., Appl. Math. Comput. 248, 328--341 (2014; Zbl 1338.34153) Full Text: DOI
Ren, Yong; Cheng, Xing; Sakthivel, R. Impulsive neutral stochastic functional integro-differential equations with infinite delay driven by fBm. (English) Zbl 1338.34157 Appl. Math. Comput. 247, 205-212 (2014). MSC: 34K50 34K30 34K45 45R05 60G22 60H15 PDFBibTeX XMLCite \textit{Y. Ren} et al., Appl. Math. Comput. 247, 205--212 (2014; Zbl 1338.34157) Full Text: DOI
Krause, Andrew; Lewis, Michael; Wang, Bixiang Dynamics of the non-autonomous stochastic \(p\)-Laplace equation driven by multiplicative noise. (English) Zbl 1338.35514 Appl. Math. Comput. 246, 365-376 (2014). MSC: 35R60 35K92 35B41 PDFBibTeX XMLCite \textit{A. Krause} et al., Appl. Math. Comput. 246, 365--376 (2014; Zbl 1338.35514) Full Text: DOI
Bian, Baojun; Wang, Guolian Well-posedness of stochastic KdV-BO equation driven by fractional Brownian motion. (English) Zbl 1335.60103 Appl. Math. Comput. 243, 657-669 (2014). MSC: 60H15 35B30 35R60 60G22 35Q53 PDFBibTeX XMLCite \textit{B. Bian} and \textit{G. Wang}, Appl. Math. Comput. 243, 657--669 (2014; Zbl 1335.60103) Full Text: DOI
Zhao, Wen-Qiang Regularity of random attractors for a degenerate parabolic equations driven by additive noises. (English) Zbl 1334.35456 Appl. Math. Comput. 239, 358-374 (2014). MSC: 35R60 60H25 35B41 35B65 35K65 PDFBibTeX XMLCite \textit{W.-Q. Zhao}, Appl. Math. Comput. 239, 358--374 (2014; Zbl 1334.35456) Full Text: DOI
Zhang, Qimin; Liu, Yating; Li, Xining Strong convergence of split-step backward Euler method for stochastic age-dependent capital system with Markovian switching. (English) Zbl 1334.65018 Appl. Math. Comput. 235, 439-453 (2014). MSC: 65C30 60H15 60H35 91B62 PDFBibTeX XMLCite \textit{Q. Zhang} et al., Appl. Math. Comput. 235, 439--453 (2014; Zbl 1334.65018) Full Text: DOI
Gu, Anhui; Xiang, Hongjun Upper semicontinuity of random attractors for stochastic three-component reversible Gray-Scott system. (English) Zbl 1344.37065 Appl. Math. Comput. 225, 387-400 (2013). MSC: 37H10 35K57 35R60 PDFBibTeX XMLCite \textit{A. Gu} and \textit{H. Xiang}, Appl. Math. Comput. 225, 387--400 (2013; Zbl 1344.37065) Full Text: DOI
Zhang, Qimin; Wei, Dongmei Necessary and sufficient conditions for near-optimal harvesting control problem of stochastic age-dependent system. (English) Zbl 1329.92121 Appl. Math. Comput. 221, 394-402 (2013). MSC: 92D25 35Q92 35R60 91B76 PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{D. Wei}, Appl. Math. Comput. 221, 394--402 (2013; Zbl 1329.92121) Full Text: DOI
Bai, Cheng-Lin Stochastic soliton-like solutions and theirs stochastic excitations under a \((2 + 1)\)-dimensional stochastic dispersive long wave system. (English) Zbl 1294.60086 Appl. Math. Comput. 219, No. 14, 7795-7804 (2013). MSC: 60H15 35R60 PDFBibTeX XMLCite \textit{C.-L. Bai}, Appl. Math. Comput. 219, No. 14, 7795--7804 (2013; Zbl 1294.60086) Full Text: DOI
Zhang, Qimin; Rathinasamy, A. Convergence of numerical solutions for a class of stochastic age-dependent capital system with random jump magnitudes. (English) Zbl 1288.91195 Appl. Math. Comput. 219, No. 14, 7297-7305 (2013). MSC: 91G60 60J75 60H15 PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{A. Rathinasamy}, Appl. Math. Comput. 219, No. 14, 7297--7305 (2013; Zbl 1288.91195) Full Text: DOI
Wang, Meijiao; Wang, Qi Application of rational expansion method for stochastic differential equations. (English) Zbl 1359.60081 Appl. Math. Comput. 218, No. 9, 5259-5264 (2012). MSC: 60H15 35R05 65C30 PDFBibTeX XMLCite \textit{M. Wang} and \textit{Q. Wang}, Appl. Math. Comput. 218, No. 9, 5259--5264 (2012; Zbl 1359.60081) Full Text: DOI
Liu, Wei; Zhang, Qimin Convergence of numerical solutions to stochastic age-structured system of three species. (English) Zbl 1238.92035 Appl. Math. Comput. 218, No. 8, 3973-3980 (2011). MSC: 92D25 60H15 65C20 PDFBibTeX XMLCite \textit{W. Liu} and \textit{Q. Zhang}, Appl. Math. Comput. 218, No. 8, 3973--3980 (2011; Zbl 1238.92035) Full Text: DOI
Gallego, Rafael Predictor-corrector pseudospectral methods for stochastic partial differential equations with additive white noise. (English) Zbl 1244.65006 Appl. Math. Comput. 218, No. 7, 3905-3917 (2011). MSC: 65C30 60H15 60H35 35R60 65M70 65M06 PDFBibTeX XMLCite \textit{R. Gallego}, Appl. Math. Comput. 218, No. 7, 3905--3917 (2011; Zbl 1244.65006) Full Text: DOI
Xu, Shengqiang; Duan, Jinqiao A Taylor expansion approach for solving partial differential equations with random Neumann boundary conditions. (English) Zbl 1220.65007 Appl. Math. Comput. 217, No. 23, 9532-9542 (2011). MSC: 65C30 60H15 35R60 35C10 35Q56 60H35 35Q40 PDFBibTeX XMLCite \textit{S. Xu} and \textit{J. Duan}, Appl. Math. Comput. 217, No. 23, 9532--9542 (2011; Zbl 1220.65007) Full Text: DOI
Zhu, Quanxin; Li, Xiaodi; Yang, Xinsong Exponential stability for stochastic reaction-diffusion BAM neural networks with time-varying and distributed delays. (English) Zbl 1210.35308 Appl. Math. Comput. 217, No. 13, 6078-6091 (2011). MSC: 35R60 35R09 60H15 35B35 60H30 PDFBibTeX XMLCite \textit{Q. Zhu} et al., Appl. Math. Comput. 217, No. 13, 6078--6091 (2011; Zbl 1210.35308) Full Text: DOI
Liu, Qing; Lan, Jia-Cheng; Wu, Hong-Yu; Wang, Zi-Hua A series of exact solutions for (2 + 1)-dimensional Wick-type stochastic generalized Broer-Kaup system via a modified variable-coefficient projective Riccati equation mapping method. (English) Zbl 1202.60100 Appl. Math. Comput. 217, No. 2, 629-638 (2010). MSC: 60H15 PDFBibTeX XMLCite \textit{Q. Liu} et al., Appl. Math. Comput. 217, No. 2, 629--638 (2010; Zbl 1202.60100) Full Text: DOI
Zhu, Fu-Bo; Zang, Qing-Pei; Ji, Jie Exact solutions for a Wick-type stochastic 2D KdV equation. (English) Zbl 1197.60064 Appl. Math. Comput. 216, No. 9, 2766-2770 (2010). MSC: 60H15 60H40 PDFBibTeX XMLCite \textit{F.-B. Zhu} et al., Appl. Math. Comput. 216, No. 9, 2766--2770 (2010; Zbl 1197.60064) Full Text: DOI
Li, Ronghua; Pang, Wan-Kai; Leung, Ping-Kei Convergence of numerical solutions to stochastic age-structured population equations with diffusions and Markovian switching. (English) Zbl 1202.92072 Appl. Math. Comput. 216, No. 3, 744-752 (2010). Reviewer: A. Réveillac (Berlin) MSC: 92D25 60H15 65C60 60-08 60J70 35Q92 PDFBibTeX XMLCite \textit{R. Li} et al., Appl. Math. Comput. 216, No. 3, 744--752 (2010; Zbl 1202.92072) Full Text: DOI
Dudziński, Marcin; Górka, Przemysław Stochastic evolution of 2D crystals. (English) Zbl 1197.60062 Appl. Math. Comput. 216, No. 1, 205-212 (2010). MSC: 60H15 35R60 74N05 PDFBibTeX XMLCite \textit{M. Dudziński} and \textit{P. Górka}, Appl. Math. Comput. 216, No. 1, 205--212 (2010; Zbl 1197.60062) Full Text: DOI Link
Liu, Qing; Jia, Dong-Li; Wang, Zi-Hua Three types of exact solutions to Wick-type generalized stochastic Korteweg-de Vries equation. (English) Zbl 1181.60097 Appl. Math. Comput. 215, No. 10, 3495-3500 (2010). MSC: 60H15 PDFBibTeX XMLCite \textit{Q. Liu} et al., Appl. Math. Comput. 215, No. 10, 3495--3500 (2010; Zbl 1181.60097) Full Text: DOI
Li, Dong-Long; Zhao, Jun-Xiao New exact solutions to the \((2 + 1)\)-dimensional Ito equation: Extended homoclinic test technique. (English) Zbl 1190.60052 Appl. Math. Comput. 215, No. 5, 1968-1974 (2009). Reviewer: Constantin Vârsan (Bucureşti) MSC: 60H15 PDFBibTeX XMLCite \textit{D.-L. Li} and \textit{J.-X. Zhao}, Appl. Math. Comput. 215, No. 5, 1968--1974 (2009; Zbl 1190.60052) Full Text: DOI
Krasovskii, Andrey A.; Tarasyev, Alexander M. An algorithm for construction of optimal timing solutions in problems with a stochastic payoff function. (English) Zbl 1153.91534 Appl. Math. Comput. 204, No. 2, 632-643 (2008). MSC: 91B28 60G40 91B70 49K20 PDFBibTeX XMLCite \textit{A. A. Krasovskii} and \textit{A. M. Tarasyev}, Appl. Math. Comput. 204, No. 2, 632--643 (2008; Zbl 1153.91534) Full Text: DOI
Castelletti, Andrea; Pianosi, Francesca; Soncini-Sessa, Rodolfo Integration, participation and optimal control in water resources planning and management. (English) Zbl 1152.92025 Appl. Math. Comput. 206, No. 1, 21-33 (2008). MSC: 92D40 91B76 93C20 68U35 PDFBibTeX XMLCite \textit{A. Castelletti} et al., Appl. Math. Comput. 206, No. 1, 21--33 (2008; Zbl 1152.92025) Full Text: DOI
Wan, Li; Zhou, Qinghua Exponential stability of stochastic reaction-diffusion Cohen-Grossberg neural networks with delays. (English) Zbl 1255.60109 Appl. Math. Comput. 206, No. 2, 818-824 (2008). MSC: 60H15 35K57 93D05 PDFBibTeX XMLCite \textit{L. Wan} and \textit{Q. Zhou}, Appl. Math. Comput. 206, No. 2, 818--824 (2008; Zbl 1255.60109) Full Text: DOI
Zhang, Kai; Wang, Song Pricing options under jump diffusion processes with fitted finite volume method. (English) Zbl 1142.91576 Appl. Math. Comput. 201, No. 1-2, 398-413 (2008). MSC: 91B28 60J60 60J75 60H15 91B24 PDFBibTeX XMLCite \textit{K. Zhang} and \textit{S. Wang}, Appl. Math. Comput. 201, No. 1--2, 398--413 (2008; Zbl 1142.91576) Full Text: DOI
Sinkala, W.; Leach, P. G. L.; O’Hara, J. G. An optimal system and group-invariant solutions of the Cox-Ingersoll-Ross pricing equation. (English) Zbl 1142.91466 Appl. Math. Comput. 201, No. 1-2, 95-107 (2008). MSC: 91B24 60H15 17B99 PDFBibTeX XMLCite \textit{W. Sinkala} et al., Appl. Math. Comput. 201, No. 1--2, 95--107 (2008; Zbl 1142.91466) Full Text: DOI
Rößler, Andreas; Seaïd, Mohammed; Zahri, Mostafa Method of lines for stochastic boundary-value problems with additive noise. (English) Zbl 1142.65007 Appl. Math. Comput. 199, No. 1, 301-314 (2008). MSC: 65C30 60H15 60H35 35R60 35Q53 65M20 65M06 65L06 PDFBibTeX XMLCite \textit{A. Rößler} et al., Appl. Math. Comput. 199, No. 1, 301--314 (2008; Zbl 1142.65007) Full Text: DOI
Zhang, Kai; Zhang, Ran; Yin, Yunguang; Yu, Shi Domain decomposition methods for linear and semilinear elliptic stochastic partial differential equations. (English) Zbl 1132.65006 Appl. Math. Comput. 195, No. 2, 630-640 (2008). MSC: 65C30 65N55 65N30 60H15 60H35 35R60 PDFBibTeX XMLCite \textit{K. Zhang} et al., Appl. Math. Comput. 195, No. 2, 630--640 (2008; Zbl 1132.65006) Full Text: DOI
Cunha, Maria Cristina C.; Dorini, Fábio Antonio A numerical scheme for the variance of the solution of the random transport equation. (English) Zbl 1122.65303 Appl. Math. Comput. 190, No. 1, 362-369 (2007). MSC: 65C30 60H15 60H35 35R60 65M12 35K15 PDFBibTeX XMLCite \textit{M. C. C. Cunha} and \textit{F. A. Dorini}, Appl. Math. Comput. 190, No. 1, 362--369 (2007; Zbl 1122.65303) Full Text: DOI
Sever, Ali A linearization-based solution to an inverse problem in financial markets. (English) Zbl 1243.60057 Appl. Math. Comput. 188, No. 2, 1666-1670 (2007). MSC: 60H30 60H15 91G99 PDFBibTeX XMLCite \textit{A. Sever}, Appl. Math. Comput. 188, No. 2, 1666--1670 (2007; Zbl 1243.60057) Full Text: DOI
Mainardi, Francesco; Pagnini, Gianni; Gorenflo, Rudolf Some aspects of fractional diffusion equations of single and distributed order. (English) Zbl 1122.26004 Appl. Math. Comput. 187, No. 1, 295-305 (2007). Reviewer: K. C. Gupta (Jaipur) MSC: 26A33 45K05 60G18 60J60 PDFBibTeX XMLCite \textit{F. Mainardi} et al., Appl. Math. Comput. 187, No. 1, 295--305 (2007; Zbl 1122.26004) Full Text: DOI arXiv
Dorini, Fábio A.; Cunha, M. Cristina C. A finite volume method for the mean of the solution of the random transport equation. (English) Zbl 1118.65002 Appl. Math. Comput. 187, No. 2, 912-921 (2007). Reviewer: Gerald W. Hedstrom (Pleasanton) MSC: 65C30 65M06 60H15 60H35 35R60 PDFBibTeX XMLCite \textit{F. A. Dorini} and \textit{M. C. C. Cunha}, Appl. Math. Comput. 187, No. 2, 912--921 (2007; Zbl 1118.65002) Full Text: DOI
Zhang, Qimin; Han, Chongzhao Convergence of numerical solutions to stochastic age-structured population system with diffusion. (English) Zbl 1123.65006 Appl. Math. Comput. 186, No. 2, 1234-1242 (2007). Reviewer: Dominique Lepingle (Orléans) MSC: 65C30 60H15 60H35 35R60 65M06 65M12 92D25 PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{C. Han}, Appl. Math. Comput. 186, No. 2, 1234--1242 (2007; Zbl 1123.65006) Full Text: DOI
Tsai, C. C.; Young, D. L.; Chiang, J. H.; Lo, D. C. The method of fundamental solutions for solving options pricing models. (English) Zbl 1142.91568 Appl. Math. Comput. 181, No. 1, 390-401 (2006). MSC: 91B28 60H15 PDFBibTeX XMLCite \textit{C. C. Tsai} et al., Appl. Math. Comput. 181, No. 1, 390--401 (2006; Zbl 1142.91568) Full Text: DOI
Pang, W. K.; Li, Ronghua; Liu, Ming Exponential stability of numerical solutions to stochastic age-dependent population equations. (English) Zbl 1117.65013 Appl. Math. Comput. 183, No. 1, 152-159 (2006). Reviewer: Eckhard Platen (Broadway) MSC: 65C30 60H15 60H30 60H35 92D25 PDFBibTeX XMLCite \textit{W. K. Pang} et al., Appl. Math. Comput. 183, No. 1, 152--159 (2006; Zbl 1117.65013) Full Text: DOI
Zhang, Qi-min; Han, Chong-zhao Numerical analysis for stochastic age-dependent population equations. (English) Zbl 1088.65004 Appl. Math. Comput. 169, No. 1, 278-294 (2005). Reviewer: Eckhard Platen (Broadway) MSC: 65C30 60H15 35R60 65M06 65M12 92D25 60H35 PDFBibTeX XMLCite \textit{Q.-m. Zhang} and \textit{C.-z. Han}, Appl. Math. Comput. 169, No. 1, 278--294 (2005; Zbl 1088.65004) Full Text: DOI
El-Borai, Mahmoud M.; El-Said El-Nadi, Khairia; Mostafa, Osama L.; Ahmed, Hamdy M. Numerical methods for some nonlinear stochastic differential equations. (English) Zbl 1084.65010 Appl. Math. Comput. 168, No. 1, 65-75 (2005). Reviewer: Grigori N. Milstein (Ekaterinburg) MSC: 65C30 60H15 60H35 PDFBibTeX XMLCite \textit{M. M. El-Borai} et al., Appl. Math. Comput. 168, No. 1, 65--75 (2005; Zbl 1084.65010) Full Text: DOI
Maleknejad, K.; Mirzaee, F. Numerical solution of stochastic linear heat conduction problem by using new algorithms. (English) Zbl 1067.65009 Appl. Math. Comput. 163, No. 1, 97-106 (2005). MSC: 65C30 60H15 60H35 PDFBibTeX XMLCite \textit{K. Maleknejad} and \textit{F. Mirzaee}, Appl. Math. Comput. 163, No. 1, 97--106 (2005; Zbl 1067.65009) Full Text: DOI
Rostamy Vamas Fadrani, D. A stochastic partial differential equation for computational algorithms. (English) Zbl 1060.65008 Appl. Math. Comput. 159, No. 2, 429-434 (2004). MSC: 65C30 60H15 60H35 65N15 PDFBibTeX XMLCite \textit{D. Rostamy Vamas Fadrani}, Appl. Math. Comput. 159, No. 2, 429--434 (2004; Zbl 1060.65008) Full Text: DOI
Anabtawi, M. J.; Sathananthan, S. Stability and convergence via Lyapunov-like functionals of stochastic parabolic partial differential equations. (English) Zbl 1071.60052 Appl. Math. Comput. 157, No. 1, 201-218 (2004). Reviewer: Evelyn Buckwar (Berlin) MSC: 60H15 35R60 35B40 93D05 93D20 PDFBibTeX XMLCite \textit{M. J. Anabtawi} and \textit{S. Sathananthan}, Appl. Math. Comput. 157, No. 1, 201--218 (2004; Zbl 1071.60052) Full Text: DOI