Math @ Duke
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Papers Published
- D. Rose, et al., Computer Simulations of Cardiac Electrophysiology,
Proceedings of the EC2000 Conference
(November, 2000)
- D. Rose, et al., Automated Membrane Model Creation,
Proceedings of Computers in Cardiology
(September, 2000)
- D. Rose, H. Shao, and C. Henriquez, Discretization of Anisotropic Convection-Diffusion Equations, Convective M-matrices and Their Iterative Solution,
VLSI DESIGN 10
(2000),
pp. 485-529
- D. Rose, J. Pormann, and J .A. Board, The Implicit Pipeline Method,
Proceedings of 1998 IPPS/SPDP
(March, 1998)
- D. Rose, D., M.Y. Kao, and H. Shao, Gridding and Discretization For Divergence Form (Semiconductor-Like) PDE's,
VLSI DESIGN 6
(1998),
pp. 111-115
- D. Rose, Paul J. Lanzkron and James T. Wilkes, An Analysis of Approximate Nonlinear Elimination,
SIAM J. SCIENTIFIC COMPUTING, vol. 17
(1996),
pp. 538-559
- D. Rose, N. Hooke, C. Henriquez, and P. Lanzkron, Linear Algebraic Transformations of the Bidomain Equations: Implications for Numerical Methods,
MATHEMATICAL BIOSCIENCES, vol. 120
(1994),
pp. 127-145
- D. Rose and P.J. Lanzkron, Nested Dissection on a M x M x K Grid,
PANAMERICAN MATHEMATICAL J, vol. 2
(1992),
pp. 1-10
- D. Rose, P.J. Lanzkron, J.T. Wilkes, S. Mueller and W. Fichtner, The Use of Nonlinear Elimination in Steady-State Circuit and Device Simulation,
IEEE WORKSHOP ON NUMERICAL MODELING OF PROCESSES AND DEVICES FOR INTEGRATED CIRCUITS: NUPAD, vol. IV
(1992),
pp. 143-148
- D. Rose and D. Erdman, Newton Waveform Relaxation Techniques for Tightly Coupled Systems,
IEEE TRANS CAD/ICAS, vol. 11
(1992),
pp. 598-606
- D. Rose, C.Gardner and P.J. Lanzkron, A Parallel Block Iterative Method for the Hydrodynamic Device Model,
IEEE TRANS CAD/ICAS, vol. 10
(1991),
pp. 1187-1192
- D. Rose, E. Fatemi, C. Gardner, J.W. Jerome, and S.Osher, Simulation of a Steady-State Electron Shock Wave in a Submicron Semiconductor Device Using High-Order Upwind Methods,
in COMPUTATIONAL ELECTRONICS: SEMICONDUCTOR TRANSPORT AND DEVICE SIMULATION, pp. 27-32, edited by K. Hess, J. P. Leburton and U. Ravaioli
(1991), Boston: Kluwer Academic Publishers
- D. Rose, P.J. Lanzkron and D.B. Szyld, Convergence of nested classical iterative methods for linear systems,
NUMER MATH, vol. 58
(1991),
pp. 685-702
- D. Rose, R. Fair, C. Gardner, M. Johnson, S. Kenkel, J. Rose and R. Subrahmanyan, Two-dimensional process simulation using verified phenomenological models,
IEEE TRANS CAD, vol. 10
(1991),
pp. 643-651
- D. Rose and R. E. Bank, On the complexity of sparse Gaussian elimination via bordering,
SIAM J SCI STAT COMPUT, vol. 11
(1990),
pp. 145-160
- D. Erdman and D. Rose, A Newton Waveform Relaxation Algorithm for Circuit Simulation,
ICCAD-89, Conference Proceedings
(1989),
pp. 404-407
- C.L. Gardner, J.W. Jerome and D. Rose, Numerical methods for the hydrodynamic device model: subsonic flow,
IEEE TRANS CAD, vol. 8
(1989),
pp. 501-507
- R.E. Bank and D. Rose, Some error estimates for the box method,
SIAM J NUMER ANALYSIS, vol. 24
(1987),
pp. 777-787
- W.M. Coughran, Jr., Eric Grosse and D. Rose, Aspects of computational circuit analysis,
in VLSI CAD TOOLS AND APPLICATIONS, pp. 105-127, edited by W. Fichtner and M. Morf
(1987), Kluwer Academic Press, Boston
- R. Bank, W. Fichtner, R.K. Smith and D. Rose, Algorithms for semiconductor device simulation,
in LARGE SCALE SCIENTIFIC COMPUTING, pp. 3-21, edited by B. Engquist and P. Deuflhardt
(1987), Birkhauser
- D. Rose, Numerical analysis for VLSI simulation: pointers and reflections,
in FRONTIERS OF SUPER-COMPUTING, edited by N. Metropolis, D.H. Sharp, W.J. Worlton, and K.R. Ames
(1986), University of California Press
- W.M. Coughran, E.H. Grosse and D. Rose, Variation diminishing splines in simulation,
SIAM J STAT SCI COMP, vol. 7
(1986),
pp. 696-705
- R.E. Bank, W.M. Coughran, W. Fichtner, R.K. Smith and D. Rose, Computational aspects of semiconductor device simulation,
in PROCESS AND DEVICE SIMULATION, pp. 229-264, edited by W.L. Engl,
PROCESS AND DEVICE SIMULATION
(1986), North Holland
- R.E. Bank, W.M. Coughran, W. Fichtner, E.H. Grosse, R.K. Smith and D. Rose, Transient simulation of silicon devices and circuits,
IEEE TRANS ELECTRON DEV and and IEEE TRANS CAD, vol. ED-32 and CAD-4
(1985),
pp. 1992-2007 and 436-451
- R.E. Bank and D. Rose, Discretization and multilevel solution techniques for nonlinear elliptic systems,
in ELLIPTIC PROBLEM SOLVERS II, edited by G. Birkhoff and A. Schoenstadt
(1984), Academic Press, N.Y.
- P.E. Bjorstad, W.M. Coughran, H.S. Greenside, N.L. Schryer and D. Rose, Numerical solution of a model equation near the onset of the Rayleigh-Benard,
in ELLIPTIC PROBLEM SOLVERS II, edited by G. Birkhoff and A. Schoenstadt
(1984), Academic Press, N.Y.
- D. Rose, Convergent regular splittings for singular M-matrices,
SIAM J ALGEBRAIC DISCRETE METH, vol. 5
(1984),
pp. 133-144
- J.R. Gilbert, A. Edenbrandt and D. Rose, A separator theorem for chordal graphs,
SIAM J ALGEBRAIC DISCRETE METH, vol. 5
(1984),
pp. 306-313
- W.M. Coughran, E.H. Grosse and D. Rose, CAzM: a circuit analyzer with macromodeling,
IEEE TRANS ELECTRON DEV, vol. ED-30
(1983),
pp. 1207-1213
- R.E. Bank, W. Fichtner and D. Rose, Numerical methods for semiconductor device simulation,
SIAM J SCI STAT COMP and IEEE TRANS ELECTRON DEV, vol. 4 and ED-30
(1983),
pp. 1031-1041
- W. Fichtner, R.E. Bank and D. Rose, Semiconductor device simulation,
SIAM J SCI STAT COMP and IEE TRANS ELECTRON DEV, vol. 4 and ED-30
(1983),
pp. 1018-1030
- R.E. Bank and D. Rose, Analysis of a multilevel iterative method for nonlinear finite element equations,
MATH COMP, vol. 39
(1982),
pp. 453-465
- R.E. Bank and D. Rose, Global approximate Newton methods,
NUMER MATH, vol. 37
(1981),
pp. 279-295
- W. Fichtner and D. Rose, On the numerical solution of nonlinear elliptic PDEs arising from semiconductor device modeling,
in ELLIPTIC PROBLEM SOLVERS, pp. 277-284, edited by M. Schultz
(1981), Academic Press, N.Y.
- R.E. Bank and D. Rose, Parameter selection for Newton-like methods applicable to nonlinear partial differential equations,
SIAM J NUMER ANALYSIS, vol. 17
(1980),
pp. 806-822
- D. Rose, Matrix identities of the fast Fourier transform,
LINEAR ALGEBRA APPL, vol. 29
(1980),
pp. 423-443
- A.H. Sherman, R.E. Tarjan, G.F. Whitten and D. Rose, Algorithms and software for in-core factorization of sparse symmetric positive definite matrices,
COMPUTERS AND STRUCTURES, vol. 11
(1980),
pp. 597-608
- R.J. Lipton, R.E. Tarjan and D. Rose, Generalized nested dissection,
SIAM J NUMER ANALYSIS, vol. 16
(1979),
pp. 346-358
- R.E. Bank and D. Rose, Design and implementation of an elliptic equation solver for rectangular regions,
in COMPUTERS, FAST ELLIPTIC SOLVERS, AND APPLICATIONS, pp. 112-124, edited by U. Schumann
(1978), Advanced Publication Ltd.
- R.E. Tarjan and D. Rose, Algorithmic aspects of vertex elimination on directed graphs,
SIAM J APPLIED MATH, vol. 34
(1978),
pp. 176-197
- R.E. Bank and D. Rose, Marching algorithms for elliptic boundary value problems I : the constant coefficient case,
SIAM J NUMER ANALYSIS, vol. 14
(1977),
pp. 792-829
- R.E. Bank and D. Rose, Extrapolated fast direct algorithms for elliptic boundary value problems,
in NEW DIRECTIONS AND RECENT RESULTS IN ALGORITHMS AND COMPLEXITY, pp. 201-247, edited by J.F. Traub
(1976), Academic Press, N.Y.
- G.F. Whitten and D. Rose, A recursive analysis of dissection strategies,
in SPARSE MATRIX COMPUTATIONS, pp. 59-83, edited by J.R. Bunch and D.J. Rose
(1976), Academic Press, N.Y.
- R.E. Tarjan, G.S. Lueker and D. Rose, Algorithmic aspects of vertex elimination on graphs,
SIAM J COMP, vol. 5
(1976),
pp. 245-254
- R.E. Tarjan and D. Rose, Algorithmic aspects of vertex elimination,
PROC SEVENTH ANNUAL ACM SYMPOSIUM ON THEORY OF COMPUTING
(1975),
pp. 245-254
- D. Rose, A simple proof for partial pivoting,
AMER MATH MONTHLY, vol. 9
(1975),
pp. 919-921
- R.E. Bank and D. Rose, An O(n2) method for solving constant coefficient boundary value problems in two dimensions,
SIAM J NUMER ANALYSIS, vol. 12
(1975),
pp. 529-539
- J.R. Bunch and D. Rose, Partitioning, tearing and modification of sparse linear systems,
J MATH ANALYSIS APPL, vol. 48
(1974),
pp. 574-593
- D. Rose, On simple characterizations of k-trees,
DISCRETE MATH, vol. 7
(1974),
pp. 317-322
- L. Haskins and D. Rose, Toward characterization of perfect elimination digraphs,
SIAM J COMP, vol. 2
(1973),
pp. 217-224
- A.J. Hoffman, M.S. Martin and D. Rose, Complexity bounds for regular finite difference and finite element grids,
SIAM J NUMER ANALYSIS, vol. 10
(1973),
pp. 364-369
- J.R. Bunch and D. Rose, The role of partitioning in the numerical solution of sparse systems,
in SPARSE MATRICES AND THEIR APPLICATIONS, pp. 177-187, edited by D.J. Rose and R.A. Willoughby
(1972), Plenum Press, N.Y.
- D. Rose, A graph-theoretic study of the numerical solution of sparse positive definite systems of linear equations,
in GRAPH THEORY AND COMPUTING, pp. 183-217, edited by Ronald Read
(1972), Academic Press, N.Y.
- D. Rose, Triangulated graphs and the elimination process,
J MATH ANALYSIS APPL, vol. 32
(July, 1970),
pp. 597-609
- D. Rose, An algorithm for solving a special class of tridiagonal systems of linear equations,
CACM, vol. 12
(1969),
pp. 234-236
Papers Accepted
- H. Shao, K. J. Sampson, J. B. Pormann, D. J. Rose, C. S. Henriquez, A Resistor Interpretation of General Anisotropic Cardiac Tissue: use of triangular meshes,
MATHEMATICAL BIOSCIENCES
(Summer, 2004)
- H. Shao, K. J. Sampson, J. B. Pormann, D. J. Rose, C. S. Henriquez, A Resistor Interpretation of General Anisotropic Cardiac Tissue: use of triangular meshes,
MATHEMATICAL BIOSCIENCES
(2004)
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dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
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Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
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