暂无分享,去创建一个
Siddhartha Mishra | Ulrik Skre Fjordholm | Franziska Weber | Kjetil Lye | Siddhartha Mishra | U. S. Fjordholm | F. Weber | K. Lye
[1] Jonas Sukys,et al. Multi-level Monte Carlo finite volume methods for nonlinear systems of conservation laws in multi-dimensions , 2012, J. Comput. Phys..
[2] N. Risebro,et al. A multilevel Monte Carlo finite difference method for random scalar degenerate convection–diffusion equations , 2017 .
[3] L. Ambrosio,et al. Gradient Flows: In Metric Spaces and in the Space of Probability Measures , 2005 .
[4] A. Bressan,et al. Vanishing Viscosity Solutions of Nonlinear Hyperbolic Systems , 2001, math/0111321.
[5] Eric Jones,et al. SciPy: Open Source Scientific Tools for Python , 2001 .
[6] Siddhartha Mishra,et al. Sparse tensor multi-level Monte Carlo finite volume methods for hyperbolic conservation laws with random initial data , 2012, Math. Comput..
[7] J. Hesthaven. Numerical Methods for Conservation Laws: From Analysis to Algorithms , 2017 .
[8] Ondrej Kreml,et al. Global Ill‐Posedness of the Isentropic System of Gas Dynamics , 2013, 1304.0123.
[9] Eitan Tadmor,et al. Arbitrarily High-order Accurate Entropy Stable Essentially Nonoscillatory Schemes for Systems of Conservation Laws , 2012, SIAM J. Numer. Anal..
[10] P. Lax. Hyperbolic systems of conservation laws , 2006 .
[11] J. Glimm. Solutions in the large for nonlinear hyperbolic systems of equations , 1965 .
[12] Camillo De Lellis,et al. The Euler equations as a differential inclusion , 2007 .
[13] Deep Ray,et al. Deep learning observables in computational fluid dynamics , 2019, J. Comput. Phys..
[14] L. Young. Lectures on the Calculus of Variations and Optimal Control Theory , 1980 .
[15] R. Voss. Random Fractal Forgeries , 1985 .
[16] Steven Schochet,et al. Examples of measure-valued solutions , 1989 .
[17] Jon A. Wellner,et al. Weak Convergence and Empirical Processes: With Applications to Statistics , 1996 .
[18] Chi-Wang Shu,et al. Strong Stability-Preserving High-Order Time Discretization Methods , 2001, SIAM Rev..
[19] R. LeVeque. Numerical methods for conservation laws , 1990 .
[20] Siddhartha Mishra,et al. Statistical Solutions of Hyperbolic Conservation Laws: Foundations , 2016, Archive for Rational Mechanics and Analysis.
[21] P. Levy. Processus stochastiques et mouvement brownien , 1948 .
[22] L. Young,et al. Lectures on the Calculus of Variations and Optimal Control Theory. , 1971 .
[23] H. Holden,et al. Front Tracking for Hyperbolic Conservation Laws , 2002 .
[24] Kim C. Border,et al. Infinite dimensional analysis , 1994 .
[25] Eitan Tadmor,et al. Construction of Approximate Entropy Measure-Valued Solutions for Hyperbolic Systems of Conservation Laws , 2014, Found. Comput. Math..
[26] A. Bressan. Hyperbolic Systems of Conservation Laws , 1999 .
[27] Meinhard E. Mayer,et al. Navier-Stokes Equations and Turbulence , 2008 .
[28] Donald S. Fussell,et al. Computer rendering of stochastic models , 1998 .
[29] R. J. Diperna,et al. Measure-valued solutions to conservation laws , 1985 .
[30] A. Tzavaras,et al. Weak–Strong Uniqueness of Dissipative Measure-Valued Solutions for Polyconvex Elastodynamics , 2011, 1109.6686.
[31] Shirley Dex,et al. JR 旅客販売総合システム(マルス)における運用及び管理について , 1991 .
[32] Yann Brenier,et al. Weak-Strong Uniqueness for Measure-Valued Solutions , 2009, 0912.1028.
[33] H. Kuhn. The Hungarian method for the assignment problem , 1955 .
[34] Achim Klenke,et al. Probability theory - a comprehensive course , 2008, Universitext.
[35] Emil Wiedemann,et al. Weak-Strong Uniqueness in Fluid Dynamics , 2017, Partial Differential Equations in Fluid Mechanics.
[36] Roger Temam,et al. Navier-Stokes Equations and Turbulence by C. Foias , 2001 .
[37] S. Kružkov. FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES , 1970 .
[38] Abubakr Gafar Abdalla,et al. Probability Theory , 2017, Encyclopedia of GIS.
[39] Kellen Petersen August. Real Analysis , 2009 .
[40] C. Villani. Topics in Optimal Transportation , 2003 .
[41] R. Bass,et al. Review: P. Billingsley, Convergence of probability measures , 1971 .
[42] Rachid Ait-Haddou. Polynomial degree reduction in the discrete $$L_2$$L2-norm equals best Euclidean approximation of h-Bézier coefficients , 2016 .
[43] Eitan Tadmor,et al. On the computation of measure-valued solutions , 2016, Acta Numerica.
[44] A. Bressan. Hyperbolic systems of conservation laws : the one-dimensional Cauchy problem , 2000 .
[45] C. M. Dafermos,et al. Hyberbolic [i.e. Hyperbolic] conservation laws in continuum physics , 2005 .
[46] Eduard Feireisl,et al. Measure-valued solutions to the complete Euler system , 2018, Journal of the Mathematical Society of Japan.
[47] B. Mandelbrot,et al. Fractional Brownian Motions, Fractional Noises and Applications , 1968 .
[48] Ulrik Skre Fjordholm,et al. High-order accurate entropy stable numercial schemes for hyperbolic conservation laws , 2013 .
[49] K. Lye,et al. NUMERICAL APPROXIMATION OF STATISTICAL SOLUTIONS OF SCALAR CONSERVATION LAWS , 2018 .
[50] P. Gänssler. Weak Convergence and Empirical Processes - A. W. van der Vaart; J. A. Wellner. , 1997 .
[51] J. Ball. A version of the fundamental theorem for young measures , 1989 .
[52] Michel Loève,et al. Probability Theory I , 1977 .