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Research
2002,2003,2004, 2005, 2006, 2007

2007
TR-MATH 07-01 W. Layton and R. Lewandowski A high accuracy Leray-deconvolution model of turbulence and its limiting behavior PDF file
Jan. 2007
TR-MATH 07-02 W. Layton and I. Stanculescu K-41 optimized approximate deconvolution models PDF file
Jan. 2007
TR-MATH 07-03 P. Lindqvist and J.J. Manfredi Viscosity supersolutions of the evolutionary p-Laplace equation PDF file
Feb. 2007
TR-MATH 07-04 S. Zenker, J. Rubin and G. Clermont Towards a model based medicine: a clinically meaningful approach to ill-posed inverse problems in quantitative physiology PDF file
Feb. 2007
TR-MATH 07-05 W. Layton A remark on regularity of an elliptic-elliptic singular perturbation problem PDF file
Feb. 2007
TR-MATH 07-06 B. Lal Sharma and A. Vainchtein Quasistatic propagation of steps along a phase boundary PDF file
March 2007
TR-MATH 07-07 Y. Zhen and A. Vainchtein Dynamics of steps along a martensitic phase boundary I: semi-analytical solution PDF file
March 2007
TR-MATH 07-08 Y. Zhen and A. Vainchtein Dynamics of steps along a martensitic phase boundary II: numerical simulations PDF file
March 2007
TR-MATH 07-09 V. Girault and B. Riviere DG approximation of coupled Navier-Stokes and Darcy equations by Beaver-Joseph-Saffman interface condition PDF file
March 2007
TR-MATH 07-10 V. Girault and B. Riviere DG approximation of coupled Navier-Stokes and Darcy equations by Beaver-Joseph-Saffman interface condition PDF file
April 2007

2006
TR-MATH 06-01 Y. Epshteyn, T. Khan and B. Riviere Inverse problem in optical tomography using discontinuous Galerkin method PDF file
Jan. 2006
TR-MATH 06-02 L. Rebholz An energy and helicity conserving finite element scheme for the Navier-Stokes equations PDF file
Jan. 2006
TR-MATH 06-03 J. Rubin and A. Bose The geometry of neuronal recruitment PDF file
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Feb. 2006
TR-MATH 06-04 V. John, W. Layton and C. Manica Convergence of time averaged statistics of finite element approximations of the Navier-Stokes equations PDF file
Feb. 2006
TR-MATH 06-05 Y. Epshteyn and B. Riviere Symmetric interior penalty Galerkin methods for elliptic problems PDF file
Feb. 2006
TR-MATH 06-06 V. Ervin, W. Layton and M. Neda Numerical analysis of a higher order time relaxation model of fluids PDF file
Feb. 2006
TR-MATH 06-07 J. Proft and B. Riviere Analytical and numerical study of diffusive fluxes for transport equations with near-degenerate coefficients PDF file
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April 2006
TR-MATH 06-08 J. Rubin Bursting induced by excitatory synaptic coupling in non-identical conditional relaxation oscillators or square-wave bursters PDF file
April 2006
TR-MATH 06-09 W. Layton and M. Neda A similarity theory of approximate deconvolution models of turbulence PDF file
Supplement file
May 2006
TR-MATH 06-10 W. Layton, C. Manica, M. Neda and L. Rebholz The joint helicity-energy cascade for homogeneous, isotropic turbulence generated by approximate deconvolution models PDF file
May 2006
TR-MATH 06-11 C. Manica and S. Kaya Merdan New discretizations of turbulent flow problems PDF file
May 2006
TR-MATH 06-12 C. Manica and S. Kaya Merdan Convergence analysis of the finite element method for a fundamental model in turbulence PDF file
May 2006
TR-MATH 06-13 W. Layton Bounds on energy and helicity dissipation rates of approximate deconvolution models of turbulence PDF file
June 2006
TR-MATH 06-14 P. Lindqvist and J. Manfredi Note on a remarkable superposition for a nonlinear equation PDF file
July 2006
TR-MATH 06-15 T. Arbogast, G. Pencheva, M.F. Wheeler and I. Yotov A multiscale mortar mixed finite element method PDF file
July 2006
TR-MATH 06-16 W. Layton Superconvergence of finite element discretization of time relaxation models of advection PDF file
Aug. 2006
TR-MATH 06-17 Y. Epshteyn and B. Riviere Analysis of hp discontinuous Galerkin methods for incompressible two-phase flow PDF file
Sep. 2006
TR-MATH 06-18 M. Neda and B. Riviere Discontinuous finite elements for solving the Stolz-Adams approximate deconvolution model for turbulent flows PDF file
Oct. 2006
TR-MATH 06-19 L. Rebholz A family of new high order NS-alpha models arising from helicity correction in Leray turbulence models PDF file
Nov. 2006
TR-MATH 06-20 J. Rubin and M. Wechselberger Giant squid-hidden canard: the 3D geometry of the Hodkin-Huxley model PDF file
Nov. 2006
TR-MATH 06-21 W. Layton, C. Manica, M. Neda and L. Rebholz Numerical analysis and computational testing of a high accuracy Leray-deconvolution model of turbulence PDF file
Nov. 2006

2005
TR-MATH 05-01 S. Kaya, W. Layton and B. Riviere Subgrid stabilized defect correction methods for the Navier-Stokes equations PDF file
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Feb. 2005
TR-MATH 05-02 V. John, S. Kaya and W. Layton A two-level variational multiscale method for convection-diffusion equations PDF file
Feb. 2005
TR-MATH 05-03 W. Layton and R. Lewandowski An exposition on the time-averaged accuracy of approximate de-convolution, large eddy simulation models of turbulence PDF file
Feb. 2005
TR-MATH 05-04 J. Best, A. Borisyuk, J. Rubin, D. Terman and M. Wechselberger The dynamic range of bursting in a network of synaptically coupled square-wave bursting respiratory pacemaker cells PDF file
Feb. 2005
TR-MATH 05-05 W. Layton and R. Lewandowski Residual stress of approximate deconvolution models of turbulence PDF file
Apr. 2005
TR-MATH 05-06 M. F. Wheeler and I. Yotov A multipoint flux mixed finite element method PDF file
July 2005
TR-MATH 05-07 Y. Epshteyn and B. Riviere Fully implicit discontinuous Galerkin schemes for multiphase flow PDF file
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June 2005
TR-MATH 05-08 L. Truskinovsky and A. Vainchtein Quasicontinuum models of dynamic phase transitions PDF file
July 2005
TR-MATH 05-09 L. Rebholz A multiscale V-P discretization for flow problems PDF file
Sept. 2005
TR-MATH 05-10 W. Klieber and B. Riviere Adaptive simulations of two-phase flow by discontinuous Galerkin methods PDF file
Oct. 2005
TR-MATH 05-11 L. Rebholz Conservation laws of turbulence models PDF file
Oct. 2005
TR-MATH 05-12 G. Pencheva On some numerical convergence studies of mixed finite element methods for flow in porous media PDF file
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Nov. 2005
TR-MATH 05-13 K. Lipnikov, M. Shashkov and I. Yotov Local flux mimetic finite difference methods PDF file
Nov. 2005
TR-MATH 05-14 I. Aavatsmark, G.T. Eigestad, R.A. Klausen, M.F. Wheeler and I. Yotov Convergence of a symmetric MPFA method on quadrilateral grids PDF file
Nov. 2005
TR-MATH 05-15 W. Layton and M. Neda Truncation of scales by time relaxation PDF file
Nov. 2005
TR-MATH 05-16 J. Rubin and K. Josic The firing of an excitable neuron in the presence of stochastic trains of strong synaptic inputs PDF file
Nov. 2005
TR-MATH 05-17 G. Pencheva and I. Yotov Changes in UTPRODJ3D: a three-dimension multiblock mixed-hybrid finite element code PDF file
Nov. 2005
TR-MATH 05-18 T. Russel, M.F. Wheeler and I. Yotov Superconvergence for control-volume mixed finite element methods on rectangular grids PDF file
Nov. 2005
TR-MATH 05-19 M.F. Wheeler and I. Yotov A cell-centered finite difference method on quadrilaterals PDF file
Nov. 2005

2004
TR-MATH 04-01 J. Rubin and A. Bose Localized activity pattern in excitatory neuronal networks PDF file
Feb. 2004
TR-MATH 04-02 B. Riviere Numerical study of a discontinuous Galerkin method for incompressible two-phase flow PDF file
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Mar. 2004
TR-MATH 04-03 L. Truskinovsky and A. Vainchtein Quasicontinuum modeling of short-wave instabilities in crystal lattices PDF file
Apr. 2004
TR-MATH 04-04 K. Josic and J. Rubin Deriving information about architecture from activity patterns in coupled cell systems PDF file
Apr. 2004
TR-MATH 04-05 W. Layton and R. Lewandowski On a well-posed turbulence model PDF file
Aug. 2004
TR-MATH 04-06 S. Kaya and B. Riviere A two-grid stabilization method for solving the steady-state Navier-Stokes equations PDF file
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Aug. 2004
TR-MATH 04-07 W. Layton and R. Lewandowski Consistency and feasibility of approximate deconvolution models of turbulence PDF file
Aug. 2004
TR-MATH 04-08 V. Girault, B. Riviere and M. Wheeler A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations PDF file
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Sept. 2004
TR-MATH 04-09 L. Truskinovsky and A. Vainchtein Kinetics of martensitic phase transitions: lattice model PDF file
Oct. 2004

2003
TR-MATH 03-01 J. Su, J. Rubin and D. Terman Effects of noise on elliptic bursters PDF file
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Jan. 2003
TR-MATH 03-02 W. Layton Model reduction by constraints, discretization of flow problems and an induced pressure stabilization PDF file
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Jan. 2003
TR-MATH 03-03 W. Layton A mathematical introduction to large Eddy simulation PDF file
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Jan. 2003
TR-MATH 03-04 S. Kaya Numerical analysis of a subgrid scale Eddy viscosity method for higher Reynolds number flow problems PDF file
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Jan. 2003
TR-MATH 03-05 S. Kaya and W. Layton Subgrid-scale eddy viscosity methods are variational multiscale methods PDF file
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Jan. 2003
TR-MATH 03-06 V. John, W. Layton and N. Sahin Derivation and analysis of near wall models for channel and recirculating flows PDF file
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Feb. 2003
TR-MATH 03-07 L. Truskinovsky and A. Vainchtein About the origin of the nucleation peak in transformational plasticity PDF file
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Apr. 2003
TR-MATH 03-08 B. Riviere and I. Yotov Locally conservative coupling of Stokes and Darcy flows PDF file
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May 2003
TR-MATH 03-09 M. Kaya Existence of weak solutions for a scale-similarity model of the motion of large eddies in turbulent flow PDF file
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Jul. 2003
TR-MATH 03-10 J. Drover, J. Rubin, J. Su and B. Ermentrout Analysis of a canard mechanism by which excitatory synaptic coupling can synchronize neurons at low firing frequencies PDF file
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Jul. 2003
TR-MATH 03-11 B. Riviere Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems PDF file
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Jul. 2003
TR-MATH 03-12 L. Truskinovsky and A. Vainchtein Explicit kinetic relation from "first principles" PDF file
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Aug. 2003
TR-MATH 03-13 G.M. Constantine On the partial orthogonality of faithful characters PDF file
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Aug. 2003
TR-MATH 03-14 S. Kaya and B. Riviere Analysis of a discontinuous Galerkin and eddy viscosity method for Navier-Stokes PDF file
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Sep. 2003
TR-MATH 03-15 Y.B. Altundas and G. Caginalp Computations of dendrites in 3-D and comparison with microgravity experiments PDF file
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Sep. 2003
TR-MATH 03-16 R.C. Read and E.G. Whitehead, Jr. A note on chain lengths and the Tutte polynomial PDF file
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Oct. 2003
TR-MATH 03-17 M. Anitescu, W.J. Layton and F. Pahlevani Implicit for local effects and explicit for nonlocal effects is unconditionally stable PDF file
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Oct. 2003
TR-MATH 03-18 A. Dunca and Y. Epshteyn On the Adams-Stolz deconvolution LES models PDF file
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Oct. 2003


2002
TR-MATH 02-01 P. Bastian and B. Riviere Superconvergence and H(div) projection for discontinuous Galerkin methods PDF file
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Sept. 2002
TR-MATH 02-02 G. Pencheva and I. Yotov Balancing domain decomposition for mortar mixed finite element methods PDF file
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Oct. 2002
TR-MATH 02-03 T.C. Hales The honeycomb problem on the sphere PDF file
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Nov. 2002
TR-MATH 02-04 J. Gordon and T.C. Hales Virtual transfer factors PDF file
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Nov. 2002
TR-MATH 02-05 A. Caglar Weak imposition of boundary conditions for the Navier-Stokes equations PDF file
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Nov. 2002
TR-MATH 02-06 L. Truskinovsky and A. Vainchtein Peierls-Nabarro landscape for martensitic phase transitions PDF file
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Dec. 2002
TR-MATH 02-07 T.C. Hales Orbital integrals are motivic PDF file
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Dec. 2002

Last modified March, 7 2007.

Comments to Beatrice Riviere