Simple global reduction technique based on decomposition approach
暂无分享,去创建一个
[1] N. Peters,et al. Reduced Kinetic Mechanisms for Applications in Combustion Systems , 1993 .
[2] Marc R. Roussel,et al. Geometry of the steady-state approximation: Perturbation and accelerated convergence methods , 1990 .
[3] J. Griffiths. Reduced kinetic models and their application to practical combustion systems , 1995 .
[4] Tamás Turányi,et al. Mathematical Tools for the Construction, Investigation and Reduction of Combustion Mechanisms , 1998 .
[5] A. N. Gorban,et al. Constructive methods of invariant manifolds for kinetic problems , 2003 .
[6] E. M. Bulewicz. Combustion , 1964, Nature.
[7] Ulrich Maas,et al. Intrinsic low-dimensional manifolds of strained and unstrained flames , 1998 .
[8] H Eyring,et al. Application of the singular perturbation method to reaction kinetics. , 1973, Proceedings of the National Academy of Sciences of the United States of America.
[9] Vladimir Gol'dshtein,et al. 9. Multi-Scale Analysis of Pressure Driven Flames , 2005, Singular Perturbations and Hysteresis.
[10] Ulrich Maas,et al. Implementation of simplified chemical kinetics based on intrinsic low-dimensional manifolds , 1992 .
[11] Michael J Davis,et al. Low-dimensional manifolds in reaction-diffusion equations. 1. Fundamental aspects. , 2006, The journal of physical chemistry. A.
[13] Ulrich Maas,et al. Ignition processes in hydrogenoxygen mixtures , 1988 .
[14] S. Lam,et al. The CSP method for simplifying kinetics , 1994 .
[15] U. Maas,et al. Extension of the ILDM method to the domain of slow chemistry , 2007 .
[16] Samuel Paolucci,et al. On slow manifolds of chemically reactive systems , 2002 .
[17] Ulrich Maas,et al. Simplifying chemical kinetics: Intrinsic low-dimensional manifolds in composition space , 1992 .
[18] Stephen Wiggins,et al. Identification of low order manifolds: Validating the algorithm of Maas and Pope. , 1999, Chaos.
[19] Michael J. Davis,et al. Geometric investigation of low-dimensional manifolds in systems approaching equilibrium , 1999 .
[20] M. Mavrovouniotis,et al. Simplification of Mathematical Models of Chemical Reaction Systems. , 1998, Chemical reviews.
[21] S. H. Lam,et al. REDUCED CHEMISTRY-DIFFUSION COUPLING , 2007 .
[22] V. Bykov,et al. Novel numerical decomposition approaches for multiscale combustion and kinetic models , 2005 .
[23] J. Guckenheimer,et al. Application of the ICE-PIC method for the dimension reduction of chemical kinetics coupled with transport , 2007 .
[24] U. Maas,et al. Ignition Processes in Hydrogen-Oxygen Mixtures , 2010 .
[25] Zhuyin Ren,et al. The use of slow manifolds in reactive flows , 2006 .
[26] S. Gindikin. Singularity Theory and Some Problems of Functional Analysis , 1992 .
[27] Habib N. Najm,et al. An automatic procedure for the simplification of chemical kinetic mechanisms based on CSP , 2006 .
[28] V. Bykov,et al. Singularly perturbed vector fields , 2006 .
[29] U. Maas,et al. The extension of the ILDM concept to reaction–diffusion manifolds , 2007 .
[30] P. Holmes,et al. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields , 1983, Applied Mathematical Sciences.
[31] Hans G. Kaper,et al. Fast and Slow Dynamics for the Computational Singular Perturbation Method , 2004, Multiscale Model. Simul..
[32] Simon J. Fraser,et al. The steady state and equilibrium approximations: A geometrical picture , 1988 .
[33] John B. Shoven,et al. I , Edinburgh Medical and Surgical Journal.
[34] U. Maas,et al. “Ghost” ILDM-Manifolds and Their Identification , 2006 .
[35] Stephen B. Pope,et al. Computations of turbulent combustion: Progress and challenges , 1991 .
[36] R. Téman,et al. Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations , 1988 .
[37] Nikolaos Kazantzis,et al. Model reduction and coarse-graining approaches for multiscale phenomena , 2006 .
[38] Zhuyin Ren,et al. The geometry of reaction trajectories and attracting manifolds in composition space , 2006 .
[39] Vladimir Gol'dshtein,et al. Comparative analysis of two asymptotic approaches based on integral manifolds , 2004 .
[40] Habib N. Najm,et al. Operator-splitting with ISAT to model reacting flow with detailed chemistry , 2006 .
[41] Neil Fenichel. Geometric singular perturbation theory for ordinary differential equations , 1979 .
[42] Ulrich Maas,et al. Laminar flame calculations using simplified chemical kinetics based on intrinsic low-dimensional manifolds , 1994 .
[43] A. Gorban,et al. Invariant Manifolds for Physical and Chemical Kinetics , 2005 .
[44] Vladimir Gol'dshtein,et al. On a modified version of ILDM approach: asymptotic analysis based on integral manifolds , 2006 .