Stochastic and Partial Differential Equations. Analysis and Computations Short Title: Stoch. Partial Differ. Equ., Anal. Comput. Publisher: Springer US, New York, NY ISSN: 2194-0401; 2194-041X/e Online: https://link.springer.com/journal/40072/volumes-and-issues Comments: Journal; Indexed cover-to-cover Documents Indexed: 272 Publications (since 2013) References Indexed: 270 Publications with 8,132 References. all top 5 Latest Issues 11, No. 4 (2023) 11, No. 3 (2023) 11, No. 2 (2023) 11, No. 1 (2023) 10, No. 4 (2022) 10, No. 3 (2022) 10, No. 2 (2022) 10, No. 1 (2022) 9, No. 4 (2021) 9, No. 3 (2021) 9, No. 2 (2021) 9, No. 1 (2021) 8, No. 4 (2020) 8, No. 3 (2020) 8, No. 2 (2020) 8, No. 1 (2020) 7, No. 4 (2019) 7, No. 3 (2019) 7, No. 2 (2019) 7, No. 1 (2019) 6, No. 4 (2018) 6, No. 3 (2018) 6, No. 2 (2018) 6, No. 1 (2018) 5, No. 4 (2017) 5, No. 3 (2017) 5, No. 2 (2017) 5, No. 1 (2017) 4, No. 4 (2016) 4, No. 3 (2016) 4, No. 2 (2016) 4, No. 1 (2016) 3, No. 4 (2015) 3, No. 3 (2015) 3, No. 2 (2015) 3, No. 1 (2015) 2, No. 4 (2014) 2, No. 3 (2014) 2, No. 2 (2014) 2, No. 1 (2014) 1, No. 4 (2013) 1, No. 3 (2013) 1, No. 2 (2013) 1, No. 1 (2013) all top 5 Authors 9 Röckner, Michael 7 Gyöngy, István 7 Mikulevicius, Remigijus 7 Nualart, David 5 Brzeźniak, Zdzisław 5 Dalang, Robert C. 5 Debussche, Arnaud 5 Krylov, Nicolaĭ Vladimirovich 5 Lototsky, Sergey V. 5 Millet, Annie 5 Salins, Michael 4 Barbu, Viorel 4 Bessaih, Hakima 4 Chen, Le 4 Flandoli, Franco 4 Huang, Jingyu 4 Khoshnevisan, Davar 4 Nobile, Fabio 4 Oh, Tadahiro 4 Rozovskii, Boris L. 4 Scarpa, Luca 4 Šiška, David 4 Spiliopoulos, Konstantinos V. 4 Vallet, Guy 3 Crisan, Dan O. 3 Da Prato, Giuseppe 3 de Bouard, Anne 3 Fan, Chenjie 3 Gerencsér, Máté 3 Gu, Yu 3 Hausenblas, Erika 3 Lions, Pierre-Louis 3 Mohan, Manil Thankamani 3 Otto, Felix 3 Pardoux, Etienne 3 Prohl, Andreas 3 Schwab, Christoph 3 Souganidis, Panagiotis E. 3 Stefanelli, Ulisse 3 Stuart, Andrew M. 3 Wittbold, Petra 3 Zheng, Guangqu 3 Zimmermann, Aleksandra 2 Alouges, François 2 Bailleul, Ismaël F. 2 Baňas, Ľubomír 2 Barth, Andrea 2 Bauzet, Caroline 2 Cerrai, Sandra 2 Charrier, Julia 2 Chernov, Alexey 2 Chong, Carsten 2 Cialenco, Igor 2 Dareiotis, Konstantinos Anastasios 2 Feng, Xiaobing 2 Frangos, Nikos E. 2 Funaki, Tadahisa 2 Grothaus, Martin 2 Gubinelli, Massimiliano 2 Hairer, Martin 2 Hambly, Ben M. 2 Han, Beom-Seok 2 Harbrecht, Helmut 2 Hinojosa-Calleja, Adrián 2 Hofmanová, Martina 2 Hong, Jialin 2 Hornung, Fabian 2 Iturriaga, Renato 2 Jentzen, Arnulf 2 Jourdain, Benjamin 2 Kalpinelli, Evangelia A. 2 Kim, Jong Uhn 2 Kruse, Raphael 2 Kukavica, Igor 2 Kuksin, Sergeĭ B. 2 Lang, Annika 2 Larsson, Stig 2 Le, Khoa 2 Leahy, James-Michael 2 Lelièvre, Tony 2 Lindner, Felix 2 Nakano, Yumiharu 2 Ortiz-Latorre, Salvador 2 Ottobre, Michela 2 Perthame, Benoît 2 Phonsom, C. 2 Pillai, Natesh S. 2 Pu, Fei 2 Razafimandimby, Paul André 2 Rößler, Andreas 2 Rousset, Mathias 2 Russo, Francesco 2 Sanz-Solé, Marta 2 Schmidlin, Marc 2 Staffilani, Gigliola 2 Sy, Mouhamadou 2 Teichmann, Josef 2 Tzvetkov, Nikolay 2 Veraar, Mark C. 2 Viitasaari, Lauri ...and 301 more Authors all top 5 Fields 241 Probability theory and stochastic processes (60-XX) 165 Partial differential equations (35-XX) 67 Numerical analysis (65-XX) 24 Fluid mechanics (76-XX) 16 Operator theory (47-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Ordinary differential equations (34-XX) 10 Functional analysis (46-XX) 8 Systems theory; control (93-XX) 7 Integral equations (45-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Quantum theory (81-XX) 6 Biology and other natural sciences (92-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Statistics (62-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Measure and integration (28-XX) 3 Mechanics of particles and systems (70-XX) 3 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 226 Publications have been cited 1,711 times in 1,312 Documents Cited by ▼ Year ▼ Regularization by noise and stochastic Burgers equations. Zbl 1312.35150 Gubinelli, M.; Jara, M. 42 2013 Scalar conservation laws with rough (stochastic) fluxes. Zbl 1333.60140 Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 40 2013 KPZ equation, its renormalization and invariant measures. Zbl 1327.60128 Funaki, Tadahisa; Quastel, Jeremy 34 2015 Scalar conservation laws with rough (stochastic) fluxes: the spatially dependent case. Zbl 1323.35233 Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 32 2014 A Pedestrian approach to the invariant Gibbs measures for the 2-\(d\) defocusing nonlinear Schrödinger equations. Zbl 1421.35340 Oh, Tadahiro; Thomann, Laurent 29 2018 Model reduction for stochastic systems. Zbl 1331.65017 Benner, Peter; Redmann, Martin 28 2015 A relatively short proof of Itô’s formula for SPDEs and its applications. Zbl 1274.60204 Krylov, N. V. 28 2013 Gaussian fluctuations for the stochastic heat equation with colored noise. Zbl 1451.60066 Huang, Jingyu; Nualart, David; Viitasaari, Lauri; Zheng, Guangqu 27 2020 Duality in refined Sobolev-Malliavin spaces and weak approximation of SPDE. Zbl 1357.60063 Andersson, Adam; Kruse, Raphael; Larsson, Stig 25 2016 Exponential attractors for random dynamical systems and applications. Zbl 1320.35089 Shirikyan, Armen; Zelik, Sergey 24 2013 Convergence of tamed Euler schemes for a class of stochastic evolution equations. Zbl 1342.60115 Gyöngy, István; Sabanis, Sotirios; Šiška, David 24 2016 Gaussian fluctuations from the 2D KPZ equation. Zbl 1431.35257 Gu, Yu 24 2020 Optimization of mesh hierarchies in multilevel Monte Carlo samplers. Zbl 1359.65013 Haji-Ali, Abdul-Lateef; Nobile, Fabio; von Schwerin, Erik; Tempone, Raúl 23 2016 Propagation of chaos for rank-based interacting diffusions and long time behaviour of a scalar quasilinear parabolic equation. Zbl 1279.65012 Jourdain, Benjamin; Reygner, Julien 23 2013 Semilinear evolution equations for the Anderson Hamiltonian in two and three dimensions. Zbl 1436.35331 Gubinelli, M.; Ugurcan, B.; Zachhuber, I. 23 2020 Hölder-continuity for the nonlinear stochastic heat equation with rough initial conditions. Zbl 1306.60085 Chen, Le; Dalang, Robert C. 21 2014 Some results on the penalised nematic liquid crystals driven by multiplicative noise: weak solution and maximum principle. Zbl 1431.76025 Brzeźniak, Zdzisław; Hausenblas, Erika; Razafimandimby, Paul André 20 2019 Large time asymptotics for the parabolic Anderson model driven by space and time correlated noise. Zbl 1387.60064 Huang, Jingyu; Lê, Khoa; Nualart, David 19 2017 Splitting up method for the 2D stochastic Navier-Stokes equations. Zbl 1312.60080 Bessaih, H.; Brzeźniak, Z.; Millet, A. 19 2014 On the convergence of stochastic transport equations to a deterministic parabolic one. Zbl 1456.35242 Galeati, Lucio 19 2020 A multi level Monte Carlo method with control variate for elliptic PDEs with log-normal coefficients. Zbl 1334.60133 Nobile, Fabio; Tesei, Francesco 18 2015 Higher-order pathwise theory of fluctuations in stochastic homogenization. Zbl 1456.35017 Duerinckx, Mitia; Otto, Felix 18 2020 On the solvability of degenerate stochastic partial differential equations in Sobolev spaces. Zbl 1310.60094 Gerencsér, Máté; Gyöngy, István; Krylov, Nicolai 17 2015 Rough linear transport equation with an irregular drift. Zbl 1356.60097 Catellier, Rémi 16 2016 Existence of invariant measures for the stochastic damped Schrödinger equation. Zbl 1379.60066 Ekren, Ibrahim; Kukavica, Igor; Ziane, Mohammed 15 2017 Consistency and stability of a Milstein-Galerkin finite element scheme for semilinear SPDE. Zbl 1316.60106 Kruse, Raphael 14 2014 Eikonal equations and pathwise solutions to fully non-linear SPDEs. Zbl 1377.35293 Friz, Peter K.; Gassiat, Paul; Lions, Pierre-Louis; Souganidis, Panagiotis E. 14 2017 Mixed finite element analysis of lognormal diffusion and multilevel Monte Carlo methods. Zbl 1371.65008 Graham, I. G.; Scheichl, R.; Ullmann, E. 14 2016 Quasilinear generalized parabolic Anderson model equation. Zbl 1448.35320 Bailleul, I.; Debussche, A.; Hofmanová, M. 14 2019 Weak truncation error estimates for elliptic PDEs with lognormal coefficients. Zbl 1273.65166 Charrier, Julia; Debussche, Arnaud 14 2013 Moments, intermittency and growth indices for the nonlinear fractional stochastic heat equation. Zbl 1356.60098 Chen, Le; Dalang, Robert C. 13 2015 Numerical analysis of the nonlinear Schrödinger equation with white noise dispersion. Zbl 1314.35159 Belaouar, Radoin; de Bouard, Anne; Debussche, Arnaud 13 2015 A note on stochastic Navier-Stokes equations with not regular multiplicative noise. Zbl 1360.76217 Brzeźniak, Zdzisław; Ferrario, Benedetta 13 2017 Talagrand concentration inequalities for stochastic partial differential equations. Zbl 1457.60037 Khoshnevisan, Davar; Sarantsev, Andrey 13 2019 Large deviations and averaging for systems of slow-fast stochastic reaction-diffusion equations. Zbl 1431.60058 Hu, Wenqing; Salins, Michael; Spiliopoulos, Konstantinos 13 2019 Global flows with invariant measures for the inviscid modified SQG equations. Zbl 1406.35413 Nahmod, Andrea R.; Pavlović, Nataša; Staffilani, Gigliola; Totz, Nathan 13 2018 A Stefan-type stochastic moving boundary problem. Zbl 1388.60112 Keller-Ressel, Martin; Müller, Marvin S. 12 2016 Scalar conservation laws with rough flux and stochastic forcing. Zbl 1351.60080 Hofmanová, Martina 12 2016 Convergence of monotone finite volume schemes for hyperbolic scalar conservation laws with multiplicative noise. Zbl 1358.65007 Bauzet, C.; Charrier, J.; Gallouët, T. 12 2016 More on the long time stability of Feynman-Kac semigroups. Zbl 1493.60088 Ferré, Grégoire; Rousset, Mathias; Stoltz, Gabriel 12 2021 Drift estimation for discretely sampled SPDEs. Zbl 1455.60081 Cialenco, Igor; Delgado-Vences, Francisco; Kim, Hyun-Jung 12 2020 Tightness for a stochastic Allen-Cahn equation. Zbl 1274.60207 Röger, Matthias; Weber, Hendrik 12 2013 Well-posedness of Hall-magnetohydrodynamics system forced by Lévy noise. Zbl 1431.60065 Yamazaki, Kazuo; Mohan, Manil T. 12 2019 Strong solutions to SPDEs with monotone drift in divergence form. Zbl 1427.60130 Marinelli, Carlo; Scarpa, Luca 12 2018 Invariant Gibbs measures for the three-dimensional wave equation with a Hartree nonlinearity. I: measures. Zbl 1491.60095 Bringmann, Bjoern 12 2022 An invariance principle for the two-dimensional parabolic Anderson model with small potential. Zbl 1391.60154 Chouk, Khalil; Gairing, Jan; Perkowski, Nicolas 11 2017 Finite element approximations of the stochastic mean curvature flow of planar curves of graphs. Zbl 1300.65006 Feng, Xiaobing; Li, Yukun; Prohl, Andreas 11 2014 Analysis of the gradient of the solution to a stochastic heat equation via fractional Brownian motion. Zbl 1327.60127 Foondun, Mohammud; Khoshnevisan, Davar; Mahboubi, Pejman 11 2015 A rigorous equation for the Cole-Hopf solution of the conservative KPZ equation. Zbl 1306.60084 Assing, Sigurd 11 2013 A semi-discrete scheme for the stochastic Landau-Lifshitz equation. Zbl 1332.35348 Alouges, François; de Bouard, Anne; Hocquet, Antoine 11 2014 On Hölder continuity of the solution of stochastic wave equations in dimension three. Zbl 1310.60096 Hu, Yaozhong; Huang, Jingyu; Nualart, David 11 2014 Sublinear growth of the corrector in stochastic homogenization: optimal stochastic estimates for slowly decaying correlations. Zbl 1387.35029 Fischer, Julian; Otto, Felix 11 2017 Uniqueness for nonlinear Fokker-Planck equations and weak uniqueness for McKean-Vlasov SDEs. Zbl 1493.60107 Barbu, Viorel; Röckner, Michael 11 2021 Berry-Esseen theorem and quantitative homogenization for the random conductance model with degenerate conductances. Zbl 1427.60211 Andres, Sebastian; Neukamm, Stefan 11 2019 Hitting probabilities for systems of non-linear stochastic heat equations in spatial dimension \(k\geq 1\). Zbl 1274.60199 Dalang, Robert C.; Khoshnevisan, Davar; Nualart, Eulalia 11 2013 Stochastic maximal regularity for rough time-dependent problems. Zbl 1431.60062 Portal, Pierre; Veraar, Mark 11 2019 Approximation and simulation of infinite-dimensional Lévy processes. Zbl 1402.60054 Barth, Andrea; Stein, Andreas 11 2018 Exponential moments for numerical approximations of stochastic partial differential equations. Zbl 1416.60072 Jentzen, Arnulf; Pušnik, Primož 11 2018 KPZ equation with fractional derivatives of white noise. Zbl 1380.35116 Hoshino, Masato 10 2016 On \(L^p\)-theory for parabolic and elliptic integro-differential equations with scalable operators in the whole space. Zbl 1390.45023 Mikulevičius, R.; Phonsom, C. 10 2017 Exponential integrators for nonlinear Schrödinger equations with white noise dispersion. Zbl 1386.65036 Cohen, David; Dujardin, Guillaume 10 2017 Euler time discretization of backward doubly SDEs and application to semilinear SPDEs. Zbl 1351.60086 Bachouch, Achref; Ben Lasmar, Mohamed Anis; Matoussi, Anis; Mnif, Mohamed 10 2016 On stochastic finite difference schemes. Zbl 1311.65005 Gyöngy, István 10 2014 Continuous dependence estimate for a degenerate parabolic-hyperbolic equation with Lévy noise. Zbl 1370.60107 Koley, Ujjwal; Majee, Ananta K.; Vallet, Guy 10 2017 Self-repelling diffusions via an infinite dimensional approach. Zbl 1337.60185 Benaïm, Michel; Ciotir, Ioana; Gauthier, Carl-Erik 10 2015 Convergence of a \(\theta \)-scheme to solve the stochastic nonlinear Schrödinger equation with Stratonovich noise. Zbl 1362.65012 Chen, Chuchu; Hong, Jialin; Prohl, Andreas 10 2016 Strong convergence rates for explicit space-time discrete numerical approximations of stochastic Allen-Cahn equations. Zbl 1517.60081 Becker, Sebastian; Gess, Benjamin; Jentzen, Arnulf; Kloeden, Peter E. 10 2023 Central limit theorems for stochastic wave equations in dimensions one and two. Zbl 1493.60100 Nualart, David; Zheng, Guangqu 10 2022 Numerical analysis of lognormal diffusions on the sphere. Zbl 1402.60062 Herrmann, Lukas; Lang, Annika; Schwab, Christoph 10 2018 Weak universality of dynamical \(\Phi ^4_3\): non-Gaussian noise. Zbl 1400.37101 Shen, Hao; Xu, Weijun 10 2018 Explicit contraction rates for a class of degenerate and infinite-dimensional diffusions. Zbl 1386.60209 Zimmer, Raphael 9 2017 Estimation of arbitrary order central statistical moments by the multilevel Monte Carlo method. Zbl 1375.65011 Bierig, Claudio; Chernov, Alexey 9 2016 Optimal rate of convergence for stochastic Burgers-type equations. Zbl 1357.60069 Hairer, M.; Matetski, K. 9 2016 Stochastic nonlinear Schrödinger equations on tori. Zbl 1447.60094 Cheung, Kelvin; Mosincat, Razvan 9 2019 Iterated stochastic integrals in infinite dimensions: approximation and error estimates. Zbl 1457.60083 Leonhard, Claudine; Rößler, Andreas 9 2019 Stochastic CGL equations without linear dispersion in any space dimension. Zbl 1287.60093 Kuksin, Sergei; Nersesyan, Vahagn 9 2013 Stochastic integration and stochastic PDEs driven by jumps on the dual of a nuclear space. Zbl 1435.60043 Fonseca-Mora, C. A. 9 2018 Normal approximation for the net flux through a random conductor. Zbl 1353.35042 Nolen, James 8 2016 Uniqueness for continuity equations in Hilbert spaces with weakly differentiable drift. Zbl 1328.35015 Da Prato, Giuseppe; Flandoli, Franco; Röckner, Michael 8 2014 On the boundedness of solutions of SPDEs. Zbl 1310.60092 Dareiotis, Konstantinos; Gerencsér, Máté 8 2015 Particle system algorithm and chaos propagation related to non-conservative McKean type stochastic differential equations. Zbl 1368.65010 Le Cavil, Anthony; Oudjane, Nadia; Russo, Francesco 8 2017 Restoring uniqueness to mean-field games by randomizing the equilibria. Zbl 1457.60087 Delarue, François 8 2019 Weak martingale solutions for the stochastic nonlinear Schrödinger equation driven by pure jump noise. Zbl 1439.35584 Brzeźniak, Zdzisław; Hornung, Fabian; Manna, Utpal 8 2020 On the two-dimensional hyperbolic stochastic sine-Gordon equation. Zbl 1470.35450 Oh, Tadahiro; Robert, Tristan; Sosoe, Philippe; Wang, Yuzhao 8 2021 Two-scale coupling for preconditioned Hamiltonian Monte Carlo in infinite dimensions. Zbl 1470.60202 Bou-Rabee, Nawaf; Eberle, Andreas 8 2021 Random homogenisation of a highly oscillatory singular potential. Zbl 1323.35230 Hairer, Martin; Pardoux, Etienne; Piatnitski, Andrey 7 2013 Covariance structure of parabolic stochastic partial differential equations. Zbl 1306.60089 Lang, Annika; Larsson, Stig; Schwab, Christoph 7 2013 Noisy gradient flow from a random walk in Hilbert space. Zbl 1308.60005 Pillai, Natesh S.; Stuart, Andrew M.; Thiéry, Alexandre H. 7 2014 Fluctuations of parabolic equations with large random potentials. Zbl 1319.35313 Gu, Yu; Bal, Guillaume 7 2015 Strong approximation of monotone stochastic partial differential equations driven by multiplicative noise. Zbl 1476.65243 Liu, Zhihui; Qiao, Zhonghua 7 2021 Path properties of the solution to the stochastic heat equation with Lévy noise. Zbl 1447.60095 Chong, Carsten; Dalang, Robert C.; Humeau, Thomas 7 2019 Classical and generalized solutions of fractional stochastic differential equations. Zbl 1461.60049 Lototsky, S. V.; Rozovsky, B. L. 7 2020 Adaptive Galerkin approximation algorithms for Kolmogorov equations in infinite dimensions. Zbl 1286.35257 Schwab, Christoph; Süli, Endre 7 2013 From additive to transport noise in 2D fluid dynamics. Zbl 1499.60217 Flandoli, Franco; Pappalettera, Umberto 7 2022 Stochastic regularization for transport equations. Zbl 1477.60103 Wei, Jinlong; Duan, Jinqiao; Gao, Hongjun; Lv, Guangying 7 2021 Convergent numerical approximation of the stochastic total variation flow. Zbl 1468.60075 Baňas, Ľubomír; Röckner, Michael; Wilke, André 7 2021 An \(L_{p}\)-estimate for the stochastic heat equation on an angular domain in \(\mathbb {R}^2\). Zbl 1402.60075 Cioica-Licht, Petru A.; Kim, Kyeong-Hun; Lee, Kijung; Lindner, Felix 7 2018 Computation of sensitivities for the invariant measure of a parameter dependent diffusion. Zbl 1401.37087 Assaraf, Roland; Jourdain, Benjamin; Lelièvre, Tony; Roux, Raphaël 7 2018 Stochastic maximum principle for optimal control of partial differential equations driven by white noise. Zbl 1406.93384 Fuhrman, Marco; Hu, Ying; Tessitore, Gianmario 7 2018 Recursive formulae in regularity structures. Zbl 1427.35378 Bruned, Y. 7 2018 Strong convergence rates for explicit space-time discrete numerical approximations of stochastic Allen-Cahn equations. Zbl 1517.60081 Becker, Sebastian; Gess, Benjamin; Jentzen, Arnulf; Kloeden, Peter E. 10 2023 Well-posedness for a stochastic 2D Euler equation with transport noise. Zbl 1520.60033 Lang, Oana; Crisan, Dan 4 2023 The stochastic Fisher-KPP equation with seed bank and on/off branching coalescing Brownian motion. Zbl 1518.60085 Blath, Jochen; Hammer, Matthias; Nie, Florian 4 2023 Central limit theorems for spatial averages of the stochastic heat equation via Malliavin-Stein’s method. Zbl 07702262 Chen, Le; Khoshnevisan, Davar; Nualart, David; Pu, Fei 3 2023 Quasi-invariance of Gaussian measures for the periodic Benjamin-Ono-BBM equation. Zbl 1518.35704 Genovese, Giuseppe; Lucà, Renato; Tzvetkov, Nikolay 2 2023 Regularisation by regular noise. Zbl 07714079 Gerencsér, Máté 2 2023 Subordinated Gaussian random fields in elliptic partial differential equations. Zbl 1518.60059 Merkle, Robin; Barth, Andrea 2 2023 Two dimensional nonlinear Schrödinger equation with spatial white noise potential and fourth order nonlinearity. Zbl 1522.35478 Tzvetkov, N.; Visciglia, N. 2 2023 \(L^2\)-theory for transition semigroups associated to dissipative systems. Zbl 07742933 Bignamini, D. A. 2 2023 Feynman-Kac formula for perturbations of order \(\leq 1\), and noncommutative geometry. Zbl 1527.58009 Boldt, Sebastian; Güneysu, Batu 1 2023 Analysis of Chorin-type projection methods for the stochastic Stokes equations with general multiplicative noise. Zbl 1515.65289 Feng, Xiaobing; Vo, Liet 1 2023 Doubly nonlinear stochastic evolution equations. II. Zbl 1518.35708 Scarpa, Luca; Stefanelli, Ulisse 1 2023 Local times for systems of non-linear stochastic heat equations. Zbl 1517.60073 Boufoussi, Brahim; Nachit, Yassine 1 2023 Correction to: “Uniqueness for nonlinear Fokker-Planck equations and weak uniqueness for McKean-Vlasov SDEs”. Zbl 1515.60245 Barbu, Viorel; Röckner, Michael 1 2023 Moderate deviations for systems of slow-fast stochastic reaction-diffusion equations. Zbl 1518.60037 Gasteratos, Ioannis; Salins, Michael; Spiliopoulos, Konstantinos 1 2023 Averaging principle and normal deviations for multi-scale stochastic hyperbolic-parabolic equations. Zbl 1528.60068 Röckner, Michael; Xie, Longjie; Yang, Li 1 2023 Some approximation results for mild solutions of stochastic fractional order evolution equations driven by Gaussian noise. Zbl 07742934 Fahim, K.; Hausenblas, E.; Kovács, M. 1 2023 Optimal decay of the parabolic semigroup in stochastic homogenization for correlated coefficient fields. Zbl 1523.35025 Clozeau, Nicolas 1 2023 Invariant Gibbs measures for the three-dimensional wave equation with a Hartree nonlinearity. I: measures. Zbl 1491.60095 Bringmann, Bjoern 12 2022 Central limit theorems for stochastic wave equations in dimensions one and two. Zbl 1493.60100 Nualart, David; Zheng, Guangqu 10 2022 From additive to transport noise in 2D fluid dynamics. Zbl 1499.60217 Flandoli, Franco; Pappalettera, Umberto 7 2022 Existence and probabilistic representation of the solutions of semilinear parabolic PDEs with fractional Laplacians. Zbl 1495.35104 Penent, Guillaume; Privault, Nicolas 5 2022 Well-posedness and asymptotic behavior of stochastic convective Brinkman-Forchheimer equations perturbed by pure jump noise. Zbl 1493.60098 Mohan, Manil T. 5 2022 Quantitative normal approximations for the stochastic fractional heat equation. Zbl 1497.60083 Assaad, Obayda; Nualart, David; Tudor, Ciprian A.; Viitasaari, Lauri 5 2022 A note on log-log blow up solutions for stochastic nonlinear Schrödinger equations. Zbl 1501.35370 Fan, Chenjie; Su, Yiming; Zhang, Deng 4 2022 Uniqueness of martingale solutions for the stochastic nonlinear Schrödinger equation on 3d compact manifolds. Zbl 1499.60213 Brzeźniak, Zdzisław; Hornung, Fabian; Weis, Lutz 3 2022 Mixing rates for Hamiltonian Monte Carlo algorithms in finite and infinite dimensions. Zbl 1502.65004 Glatt-Holtz, Nathan E.; Mondaini, Cecilia F. 3 2022 Large deviations principle for the invariant measures of the 2D stochastic Navier-Stokes equations with vanishing noise correlation. Zbl 1499.60214 Cerrai, S.; Paskal, N. 3 2022 Three-dimensional stochastic cubic nonlinear wave equation with almost space-time white noise. Zbl 1502.35207 Oh, Tadahiro; Wang, Yuzhao; Zine, Younes 2 2022 Phase transitions in asymptotically singular Anderson Hamiltonian and parabolic model. Zbl 1501.60035 Gaudreau Lamarre, Pierre Yves 2 2022 Multilevel quadrature for elliptic problems on random domains by the coupling of FEM and BEM. Zbl 07613009 Harbrecht, Helmut; Schmidlin, Marc 2 2022 An improved characterisation of regular generalised functions of white noise and an application to singular SPDEs. Zbl 1491.60097 Grothaus, Martin; Müller, Jan; Nonnenmacher, Andreas 2 2022 Log-Harnack inequality for reflected SPDEs driven by multiplicative noises and its applications. Zbl 1493.60104 Xie, Bin 2 2022 The stochastic tamed MHD equations: existence, uniqueness and invariant measures. Zbl 1494.76119 Schenke, Andre 2 2022 Global existence for the stochastic Navier-Stokes equations with small \(L^p\) data. Zbl 1487.60124 Kukavica, Igor; Xu, Fanhui; Ziane, Mohammed 2 2022 Statistical null-controllability of stochastic nonlinear parabolic equations. Zbl 1486.60078 Hernández-Santamaría, Víctor; Le Balc’h, Kévin; Peralta, Liliana 2 2022 A linear stochastic biharmonic heat equation: hitting probabilities. Zbl 1499.60219 Hinojosa-Calleja, Adrián; Sanz-Solé, Marta 1 2022 The hyperbolic Anderson model: moment estimates of the Malliavin derivatives and applications. Zbl 1501.60031 Balan, Raluca M.; Nualart, David; Quer-Sardanyons, Lluís; Zheng, Guangqu 1 2022 An application of the splitting-up method for the computation of a neural network representation for the solution for the filtering equations. Zbl 1504.65004 Crisan, Dan; Lobbe, Alexander; Ortiz-Latorre, Salvador 1 2022 Existence of martingale solutions for stochastic flocking models with local alignment. Zbl 1499.92160 Debussche, Arnaud; Rosello, Angelo 1 2022 Invariant measures for multidimensional fractional stochastic volatility models. Zbl 1504.60113 Gerencsér, Balázs; Rásonyi, Miklós 1 2022 Conditional propagation of chaos in a spatial stochastic epidemic model with common noise. Zbl 1499.92147 Vuong, Yen V.; Hauray, Maxime; Pardoux, Étienne 1 2022 Global well-posedness and long-time behavior of the fractional NLS. Zbl 1501.35447 Sy, Mouhamadou; Yu, Xueying 1 2022 The strong trace property and the Neumann problem for stochastic conservation laws. Zbl 1525.35266 Frid, Hermano; Li, Yachun; Marroquin, Daniel; Nariyoshi, João F. C.; Zeng, Zirong 1 2022 Variations of the solution to a fourth order time-fractional stochastic partial integro-differential equation. Zbl 1495.35221 Wang, Wensheng 1 2022 Lewy-Stampacchia’s inequality for a stochastic T-monotone obstacle problem. Zbl 1486.35041 Tahraoui, Yassine; Vallet, Guy 1 2022 Mixing for the primitive equations under bounded non-degenerate noise. Zbl 1484.35314 Boulvard, Pierre-Marie 1 2022 The exit from a metastable state: concentration of the exit point distribution on the low energy saddle points. II. Zbl 1486.60103 Lelièvre, Tony; Le Peutrec, Dorian; Nectoux, Boris 1 2022 More on the long time stability of Feynman-Kac semigroups. Zbl 1493.60088 Ferré, Grégoire; Rousset, Mathias; Stoltz, Gabriel 12 2021 Uniqueness for nonlinear Fokker-Planck equations and weak uniqueness for McKean-Vlasov SDEs. Zbl 1493.60107 Barbu, Viorel; Röckner, Michael 11 2021 On the two-dimensional hyperbolic stochastic sine-Gordon equation. Zbl 1470.35450 Oh, Tadahiro; Robert, Tristan; Sosoe, Philippe; Wang, Yuzhao 8 2021 Two-scale coupling for preconditioned Hamiltonian Monte Carlo in infinite dimensions. Zbl 1470.60202 Bou-Rabee, Nawaf; Eberle, Andreas 8 2021 Strong approximation of monotone stochastic partial differential equations driven by multiplicative noise. Zbl 1476.65243 Liu, Zhihui; Qiao, Zhonghua 7 2021 Stochastic regularization for transport equations. Zbl 1477.60103 Wei, Jinlong; Duan, Jinqiao; Gao, Hongjun; Lv, Guangying 7 2021 Convergent numerical approximation of the stochastic total variation flow. Zbl 1468.60075 Baňas, Ľubomír; Röckner, Michael; Wilke, André 7 2021 Stochastic homogenization of the Landau-Lifshitz-Gilbert equation. Zbl 1481.35030 Alouges, François; de Bouard, Anne; Merlet, Benoît; Nicolas, Léa 6 2021 Stochastic analysis with modelled distributions. Zbl 1470.35448 Liu, Chong; Prömel, David J.; Teichmann, Josef 5 2021 Anisotropic Gaussian random fields: criteria for hitting probabilities and applications. 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Zbl 1431.60062 Portal, Pierre; Veraar, Mark 11 2019 ...and 126 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,400 Authors 25 Gess, Benjamin 22 Flandoli, Franco 22 Redmann, Martin 19 Brzeźniak, Zdzisław 19 Nualart, David 18 Oh, Tadahiro 17 Gubinelli, Massimiliano 16 Gu, Yu 16 Hairer, Martin 16 Röckner, Michael 14 Nobile, Fabio 14 Scarpa, Luca 13 Hofmanová, Martina 13 Hong, Jialin 13 Jentzen, Arnulf 13 Kim, KyeongHun 13 Luo, Dejun 12 Chen, Le 11 Khoshnevisan, Davar 11 Lang, Annika 10 Gloria, Antoine 10 Perkowski, Nicolas 10 Schwab, Christoph 10 Souganidis, Panagiotis E. 10 Tempone, Raúl F. 10 Tzvetkov, Nikolay 9 Balan, Raluca M. 9 Dareiotis, Konstantinos Anastasios 9 Gerencsér, Máté 9 Mohan, Manil Thankamani 9 Russo, Francesco 9 Scheichl, Robert 9 Tudor, Ciprian A. 9 Wang, Xiaojie 9 Zhou, Shengfan 9 Zhu, RongChan 8 Barbu, Viorel 8 Bessaih, Hakima 8 Bréhier, Charles-Edouard 8 Bruned, Yvain 8 Cui, Jianbo 8 Dalang, Robert C. 8 Eberle, Andreas 8 Fonseca-Mora, Christian A. 8 Gyöngy, István 8 Hambly, Ben M. 8 Hu, Yaozhong 8 Jara, Milton D. 8 Li, Yukun 8 Otto, Felix 8 Pu, Fei 8 Razafimandimby, Paul André 7 Barth, Andrea 7 Cao, Yanzhao 7 Chong, Carsten 7 Duerinckx, Mitia 7 Fehrman, Benjamin J. 7 Funaki, Tadahisa 7 Gonçalves, Patrícia C. 7 Hocquet, Antoine 7 Hoshino, Masato 7 Kim, Ildoo 7 Liu, Zhihui 7 Mikulevicius, Remigijus 7 Veraar, Mark C. 7 Wang, Yuzhao 7 Weber, Hendrik 7 Yamazaki, Kazuo 7 Zhang, Deng 6 Bella, Peter 6 Bou-Rabee, Nawaf M. 6 Caraballo Garrido, Tomás 6 Cialenco, Igor 6 Corwin, Ivan Z. 6 Crisan, Dan O. 6 Feng, Xiaobing 6 Hausenblas, Erika 6 Koley, Ujjwal 6 Larsson, Stig 6 Li, Ruinan 6 Lions, Pierre-Louis 6 Manna, Utpal 6 Oudjane, Nadia 6 Rosati, Tommaso Cornelis 6 Sarantsev, Andrey 6 Spiliopoulos, Konstantinos V. 6 Stuart, Andrew M. 6 Vallet, Guy 6 Xu, Weijun 6 Zhang, Tusheng S. 6 Zheng, Guangqu 6 Zhu, Xiang-Chan 6 Zygouras, Nikolaos 5 Agresti, Antonio 5 Bailleul, Ismaël F. 5 Benner, Peter 5 Cerrai, Sandra 5 Chaudhary, Abhishek 5 Cosco, Clément 5 Debussche, Arnaud ...and 1,300 more Authors all top 5 Cited in 231 Journals 90 Stochastic and Partial Differential Equations. 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EDP et Applications 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 3 Annales Henri Lebesgue 3 Probability and Mathematical Physics 2 Applicable Analysis 2 International Journal of Control 2 Advances in Mathematics ...and 131 more Journals all top 5 Cited in 42 Fields 1,025 Probability theory and stochastic processes (60-XX) 768 Partial differential equations (35-XX) 334 Numerical analysis (65-XX) 144 Fluid mechanics (76-XX) 96 Statistical mechanics, structure of matter (82-XX) 90 Dynamical systems and ergodic theory (37-XX) 58 Systems theory; control (93-XX) 52 Statistics (62-XX) 46 Operator theory (47-XX) 34 Quantum theory (81-XX) 33 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 32 Calculus of variations and optimal control; optimization (49-XX) 31 Functional analysis (46-XX) 26 Biology and other natural sciences (92-XX) 24 Ordinary differential equations (34-XX) 24 Global analysis, analysis on manifolds (58-XX) 22 Geophysics (86-XX) 14 Real functions (26-XX) 14 Approximations and expansions (41-XX) 14 Integral equations (45-XX) 13 Measure and integration (28-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 12 Mechanics of deformable solids (74-XX) 12 Optics, electromagnetic theory (78-XX) 11 Classical thermodynamics, heat transfer (80-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Computer science (68-XX) 6 General and overarching topics; collections (00-XX) 6 Associative rings and algebras (16-XX) 6 Special functions (33-XX) 6 Differential geometry (53-XX) 5 Information and communication theory, circuits (94-XX) 4 Functions of a complex variable (30-XX) 4 Mechanics of particles and systems (70-XX) 4 Relativity and gravitational theory (83-XX) 3 Difference and functional equations (39-XX) 2 Combinatorics (05-XX) 2 Potential theory (31-XX) 2 Integral transforms, operational calculus (44-XX) 2 Astronomy and astrophysics (85-XX) 1 Algebraic geometry (14-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year