-
1
-
-
0037913667
-
Equation-free multiscale computation: Enabling microscopic simulators to perform system-level tasks
-
submitted
-
I.G. Kevrekidis, C.W. Gear, J.M. Hyman, P.G. Kevrekidis, O. Runborg, and C. Theodoropoulos, Equation-free multiscale computation: Enabling microscopic simulators to perform system-level tasks, Communications in the Mathematical Sciences, submitted.
-
Communications in the Mathematical Sciences
-
-
Kevrekidis, I.G.1
Gear, C.W.2
Hyman, J.M.3
Kevrekidis, P.G.4
Runborg, O.5
Theodoropoulos, C.6
-
2
-
-
0037162264
-
Coarse stability and bifurcation analysis using stochastic simulators: Kinetic Monte Carlo examples
-
A.G. Makeev, D. Maroudas, and I.G. Kevrekidis, Coarse stability and bifurcation analysis using stochastic simulators: Kinetic Monte Carlo examples, J. Chem. Phys., 116 (2002), pp. 10083-10091.
-
(2002)
J. Chem. Phys.
, vol.116
, pp. 10083-10091
-
-
Makeev, A.G.1
Maroudas, D.2
Kevrekidis, I.G.3
-
3
-
-
0037044961
-
Coarse bifurcation analysis of kinetic Monte Carlo simulations: A lattice-gas model with lateral interactions
-
A.G. Makeev, D. Maroudas, A.Z. Panagiotopoulos, and I.G. Kevrekidis, Coarse bifurcation analysis of kinetic Monte Carlo simulations: A lattice-gas model with lateral interactions, J. Chem. Phys., 117 (2002), pp. 8229-8240.
-
(2002)
J. Chem. Phys.
, vol.117
, pp. 8229-8240
-
-
Makeev, A.G.1
Maroudas, D.2
Panagiotopoulos, A.Z.3
Kevrekidis, I.G.4
-
4
-
-
0041428215
-
Projective methods for stiff differential equations: Problems with gaps in their eigenvalue spectrum
-
C.W. Gear and I.G. Kevrekidis, Projective methods for stiff differential equations: Problems with gaps in their eigenvalue spectrum, SIAM J. Sci. Comput., 24 (2003), pp. 1091-1106.
-
(2003)
SIAM J. Sci. Comput.
, vol.24
, pp. 1091-1106
-
-
Gear, C.W.1
Kevrekidis, I.G.2
-
5
-
-
0027641824
-
Stabilization of unstable procedures: The recursive projection method
-
G.M. Shroff and H.B. Keller, Stabilization of unstable procedures: The recursive projection method, SIAM J. Numer. Anal., 30 (1993), pp. 1099-1120.
-
(1993)
SIAM J. Numer. Anal.
, vol.30
, pp. 1099-1120
-
-
Shroff, G.M.1
Keller, H.B.2
-
6
-
-
0037104864
-
Coarse integration/bifurcation analysis via microscopic simulators: Micro-Galerkin methods
-
C.W. Gear, I.G. Kevrekidis, and C. Theodoropoulos, Coarse integration/bifurcation analysis via microscopic simulators: Micro-Galerkin methods, Computers and Chemical Engineering, 26 (2002), pp. 941-963.
-
(2002)
Computers and Chemical Engineering
, vol.26
, pp. 941-963
-
-
Gear, C.W.1
Kevrekidis, I.G.2
Theodoropoulos, C.3
-
7
-
-
0037130212
-
Atomistic mechanisms governing elastic limit and incipient plasticity in crystals
-
J. Li, K.J. Van Vliet, T. Zhu, S. Yip, and S. Suresh, Atomistic mechanisms governing elastic limit and incipient plasticity in crystals, Nature, 418 (2002), pp. 307-310.
-
(2002)
Nature
, vol.418
, pp. 307-310
-
-
Li, J.1
Van Vliet, K.J.2
Zhu, T.3
Yip, S.4
Suresh, S.5
-
8
-
-
0038079447
-
Quantifying the early stages of plasticity through nanoscale experiments and simulations
-
K.J. Van Vliet, J. Li, T. Zhu, S. Yip, and S. Suresh, Quantifying the early stages of plasticity through nanoscale experiments and simulations, Phys. Rev. B, 67 (2003), 104105.
-
(2003)
Phys. Rev. B
, vol.67
, pp. 104105
-
-
Van Vliet, K.J.1
Li, J.2
Zhu, T.3
Yip, S.4
Suresh, S.5
-
9
-
-
31744441727
-
Coarse bifurcation studies of alternative microscopic/hybrid simulators, plenary lecture, CAST division
-
Los Angeles, Slides can be obtained at
-
I.G. Kevrekidis, Coarse Bifurcation Studies of Alternative Microscopic/Hybrid Simulators, Plenary Lecture, CAST Division, AIChE Annual Meeting, Los Angeles, 2000. Slides can be obtained at http://arnold.princeton.edu/∼yannis/.
-
(2000)
AIChE Annual Meeting
-
-
Kevrekidis, I.G.1
-
12
-
-
0000332692
-
On a quasilinear parabolic equation occurring in aerodynamics
-
J.D. Cole, On a quasilinear parabolic equation occurring in aerodynamics, Quart. Appl. Math., 9 (1951), pp. 225-236.
-
(1951)
Quart. Appl. Math.
, vol.9
, pp. 225-236
-
-
Cole, J.D.1
-
13
-
-
84980078224
-
The partial differential equation ut + uux = μuxx
-
E. Hopf, The partial differential equation ut + uux = μuxx, Comm. Pure Appl. Math., 3 (1950), pp. 201-230.
-
(1950)
Comm. Pure Appl. Math.
, vol.3
, pp. 201-230
-
-
Hopf, E.1
-
14
-
-
84966208204
-
Convergence of a random walk method for the burgers equation
-
S. Roberts, Convergence of a random walk method for the Burgers equation, Math. Comp., 52 (1989), pp. 647-673.
-
(1989)
Math. Comp.
, vol.52
, pp. 647-673
-
-
Roberts, S.1
-
16
-
-
0033316545
-
Nearly exact solution for coupled continuum/MD fluid simulation
-
J. Li, D. Liao, and S. Yip, Nearly exact solution for coupled continuum/MD fluid simulation, J. Comput.-Aided Mater. Des., 6 (1999), pp. 95-102.
-
(1999)
J. Comput.-Aided Mater. des
, vol.6
, pp. 95-102
-
-
Li, J.1
Liao, D.2
Yip, S.3
-
17
-
-
0002246664
-
Coupling continuum to molecular-dynamics simulation: Reflecting particle method and the field estimator
-
J. Li, D. Liao, and S. Yip, Coupling continuum to molecular-dynamics simulation: Reflecting particle method and the field estimator, Phys. Rev. E, 57 (1998), pp. 7259-7267.
-
(1998)
Phys. Rev. E
, vol.57
, pp. 7259-7267
-
-
Li, J.1
Liao, D.2
Yip, S.3
-
18
-
-
0001765873
-
A numerical approach to the testing of the fission hypothesis
-
L.B. Lucy, A numerical approach to the testing of the fission hypothesis, Astronom. J., 82 (1977), pp. 1013-1024.
-
(1977)
Astronom. J.
, vol.82
, pp. 1013-1024
-
-
Lucy, L.B.1
-
19
-
-
0001201454
-
Particle methods for dispersive equations
-
A. Chertock and D. Levy, Particle methods for dispersive equations, J. Comput. Phys., 171 (2001), pp. 708-730.
-
(2001)
J. Comput. Phys.
, vol.171
, pp. 708-730
-
-
Chertock, A.1
Levy, D.2
-
20
-
-
0141813412
-
A particle method for the KdV equation
-
A. Chertock and D. Levy, A particle method for the KdV equation, J. Sci. Comput., 17 (2002), pp. 491-499.
-
(2002)
J. Sci. Comput.
, vol.17
, pp. 491-499
-
-
Chertock, A.1
Levy, D.2
-
22
-
-
0001524578
-
Finding leading modes of a viscous free surface flow: An asymmetric generalized eigenproblem
-
K.N. Christodoulou and L.E. Scriven, Finding leading modes of a viscous free surface flow: An asymmetric generalized eigenproblem, J. Sci. Comput., 3 (1988), pp. 355-406.
-
(1988)
J. Sci. Comput.
, vol.3
, pp. 355-406
-
-
Christodoulou, K.N.1
Scriven, L.E.2
-
23
-
-
0023312509
-
An efficient method for computing leading eigenvalues and eigenvectors of large asymmetric matrices
-
I. Goldhirsch, S.A. Orszag, and B.K. Maulik, An efficient method for computing leading eigenvalues and eigenvectors of large asymmetric matrices, J. Sci. Comput., 2 (1987), pp. 33-58.
-
(1987)
J. Sci. Comput.
, vol.2
, pp. 33-58
-
-
Goldhirsch, I.1
Orszag, S.A.2
Maulik, B.K.3
-
24
-
-
0003893794
-
Templates for the solution of algebraic eigenvalue problems: A practical guide
-
eds., SIAM, Philadelphia
-
Z. Bai, J. Demmel, J. Dongarra, A. Ruhe, and H. van der Vorst, eds., Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide, Software Environ. Tools 11, SIAM, Philadelphia, 2000.
-
(2000)
Software Environ. Tools
, vol.11
-
-
Bai, Z.1
Demmel, J.2
Dongarra, J.3
Ruhe, A.4
Van Der Vorst, H.5
-
25
-
-
0002807741
-
The principle of minimized iterations in the solution of the matrix eigenvalue problem
-
W.E. Arnoldi, The principle of minimized iterations in the solution of the matrix eigenvalue problem, Quart. Appl. Math., 9 (1951), pp. 17-29.
-
(1951)
Quart. Appl. Math.
, vol.9
, pp. 17-29
-
-
Arnoldi, W.E.1
-
26
-
-
0000094594
-
An iteration method for the solution of the eigenvalue problem of linear differential and integral operators
-
C. Lanczos, An iteration method for the solution of the eigenvalue problem of linear differential and integral operators, J. Research Nat. Bur. Standards, 45 (1950), pp. 255-282.
-
(1950)
J. Research Nat. Bur. Standards
, vol.45
, pp. 255-282
-
-
Lanczos, C.1
-
27
-
-
0000894221
-
Bifurcation analysis for time-steppers
-
IMA Vol. Math. Appl., E. Doedel and L. S. Tuckerman, eds. Springer, New York
-
L.S. Tuckerman and D. Barkley, Bifurcation analysis for time-steppers, in Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems, IMA Vol. Math. Appl. 119, E. Doedel and L. S. Tuckerman, eds., Springer, New York, 2000, pp. 453-466.
-
(2000)
Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems
, vol.119
, pp. 453-466
-
-
Tuckerman, L.S.1
Barkley, D.2
-
28
-
-
85021679100
-
Computing in the past with forward integration
-
submitted
-
C.W. Gear and I.G. Kevrekidis, Computing in the past with forward integration, Phys. Lett. A, submitted.
-
Phys. Lett. A
-
-
Gear, C.W.1
Kevrekidis, I.G.2
-
29
-
-
0037865691
-
Coarse molecular dynamics of a peptide fragment: Free energy, kinetics and long-time dynamics computations
-
G. Hummer and I.G. Kevrekidis, Coarse molecular dynamics of a peptide fragment: Free energy, kinetics and long-time dynamics computations, J. Chem. Phys., 118 (2003), pp. 10762-10773.
-
(2003)
J. Chem. Phys.
, vol.118
, pp. 10762-10773
-
-
Hummer, G.1
Kevrekidis, I.G.2
-
30
-
-
0003241821
-
Solitons and the inverse scattering transform
-
SIAM, Philadelphia
-
M.J. Ablowitz and H. Segur, Solitons and the Inverse Scattering Transform, SIAM Stud. Appl. Math. 4, SIAM, Philadelphia, 1981.
-
(1981)
SIAM Stud. Appl. Math.
, vol.4
-
-
Ablowitz, M.J.1
Segur, H.2
-
32
-
-
0005715834
-
Integrability revisited: A necessary condition
-
P.G. Kevrekidis, Integrability revisited: A necessary condition, Phys. Lett. A, 285 (2001), pp. 383-389.
-
(2001)
Phys. Lett. A
, vol.285
, pp. 383-389
-
-
Kevrekidis, P.G.1
|