A boundary integral formalism for stochastic ray tracing in billiards.
暂无分享,去创建一个
[1] Gary Froyland,et al. Estimating Long-Term Behavior of Flows without Trajectory Integration: The Infinitesimal Generator Approach , 2011, SIAM J. Numer. Anal..
[2] Alain Le Bot,et al. Energy exchange in uncorrelated ray fields of vibroacoustics , 2006 .
[3] John A. Hudson. Seismic Ray Theory, V Ćerveńiy, Cambridge University Press, 2001, 713 pp, ISBN 0-521-36671-2, Hardback, £90.00 , 2002 .
[4] Andrea Mazzino,et al. Active and passive fields face to face , 2004, nlin/0407018.
[5] E. Altmann,et al. Faster than expected escape for a class of fully chaotic maps. , 2012, Chaos.
[6] P. Cvitanović,et al. How well can one resolve the state space of a chaotic map? , 2009, Physical review letters.
[7] Robin S. Langley,et al. Wave intensity analysis of high frequency vibrations , 1994, Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences.
[8] Gábor Vattay,et al. Trace Formulas for Stochastic Evolution Operators: Weak Noise Perturbation Theory , 1998, chao-dyn/9807034.
[9] Robin S. Langley,et al. A wave intensity technique for the analysis of high frequency vibrations , 1992 .
[10] Gregor Tanner,et al. Dynamical energy analysis on mesh grids: A new tool for describing the vibro-acoustic response of complex mechanical structures , 2014 .
[11] A. Le Bot,et al. A vibroacoustic model for high frequency analysis , 1998 .
[12] Gerhard Keller,et al. Ruelle?Perron?Frobenius spectrum for Anosov maps , 2002 .
[13] R. H. Lyon,et al. Statistical Analysis of Power Injection and Response in Structures and Rooms , 1969 .
[14] Christopher Bose,et al. The exact rate of approximation in Ulam's method , 2000 .
[15] Gregor Tanner,et al. Dynamical energy analysis—Determining wave energy distributions in vibro-acoustical structures in the high-frequency regime , 2009 .
[16] Sebastian Reich,et al. Phase Space Volume Conservation under Space and Time Discretization Schemes for the Shallow-Water Equations , 2010 .
[17] R. Lyon,et al. Theory and Application of Statistical Energy Analysis , 2014 .
[18] Richard H. Lyon,et al. EVALUATING THE DYNAMICAL RESPONSE VARIABLES , 1994 .
[19] E. Ott,et al. Predicting the statistics of wave transport through chaotic cavities by the Random Coupling Model: a review and recent progress , 2013, 1303.6526.
[20] Thomas M. Antonsen,et al. Statistical Prediction and Measurement of Induced Voltages on Components Within Complicated Enclosures: A Wave-Chaotic Approach , 2012, IEEE Transactions on Electromagnetic Compatibility.
[21] James T. Kajiya,et al. The rendering equation , 1986, SIGGRAPH.
[22] Dj Chappell,et al. Estimating the validity of statistical energy analysis using dynamical energy analysis: a preliminary study , 2011 .
[23] G. Zaslavsky. Chaos, fractional kinetics, and anomalous transport , 2002 .
[24] Gregor Tanner,et al. Discrete flow mapping: transport of phase space densities on triangulated surfaces , 2013, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[25] C. Schütte,et al. Supplementary Information for “ Constructing the Equilibrium Ensemble of Folding Pathways from Short Off-Equilibrium Simulations ” , 2009 .
[26] Péter Koltai,et al. Discretization of the Frobenius-Perron Operator Using a Sparse Haar Tensor Basis: The Sparse Ulam Method , 2009, SIAM J. Numer. Anal..
[27] Noise Corrections to Stochastic Trace Formulas , 2001, nlin/0101045.
[28] Gregor Tanner,et al. Boundary element dynamical energy analysis: a versatile high frequency method for two or three-dimensional problems , 2011 .
[29] M. Vorländer. Simulation of the transient and steady‐state sound propagation in rooms using a new combined ray‐tracing/image‐source algorithm , 1989 .
[30] Gregor Tanner,et al. Discrete flow mapping - a mesh based simulation tool for mid-to-high frequency vibro-acoustic excitation of complex automotive structures , 2014 .
[31] R. LeVeque. Numerical methods for conservation laws , 1990 .
[32] Trace formulae for stochastic evolution operators: smooth conjugation method , 1998, chao-dyn/9811003.
[33] I. Mezić,et al. Applied Koopmanism. , 2012, Chaos.
[34] G Tanner,et al. Dynamical energy analysis for built-up acoustic systems at high frequencies. , 2010, The Journal of the Acoustical Society of America.
[35] Stefano Giani,et al. Boundary element dynamical energy analysis: A versatile method for solving two or three dimensional wave problems in the high frequency limit , 2012, J. Comput. Phys..
[36] Jiu Ding,et al. Finite approximations of Frobenius-Perron operators. A solution of Ulam's conjecture to multi-dimensional transformations , 1996 .
[37] A. Le Bot. ENERGY TRANSFER FOR HIGH FREQUENCIES IN BUILT-UP STRUCTURES , 2002 .
[38] Gregor Tanner,et al. Solving the stationary Liouville equation via a boundary element method , 2012, J. Comput. Phys..
[39] Eduardo G. Altmann,et al. Leaking chaotic systems , 2012, 1208.0254.
[40] G. Palla,et al. Spectrum of stochastic evolution operators: local matrix representation approach. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[41] V. Červený,et al. Seismic Ray Theory , 2001, Encyclopedia of Solid Earth Geophysics.