Next: 8. PROBABILISTIC APPROACH FOR
Previous: 7.4 Directions for Future
- 1
-
A. E. Abdin and J. J. Kaluarachchi.
Stochastic analysis of three-phase flow in heterogeneous porous
media. 1. Spectra/perturbation approach.
Water Resources Research., 33(7):1549-1558, 1997.
- 2
-
A. E. Abdin and J. J. Kaluarachchi.
Stochastic analysis of three-phase flow in heterogeneous porous
media. 2. Numerical simulations.
Water Resources Research., 33(7):1559-1566, 1997.
- 3
-
G. Adomian.
Applied stochastic processes.
In G. Adomian, editor, Stochastic System Analysis, pages 1-17.
Academic Press, New York, 1980.
- 4
-
K. I. Al-Wali and P. J. Samson.
Preliminary sensitivity analysis of urban airshed model simulations
to temporal and spatial availability of boundary layer wind measurements.
Atmospheric Environment., 30(12-2):2027-2042, 1996.
- 5
-
G. Alefeld and J. Herzberger.
``Introduction to Interval Computations''.
Academic Press, New York, 1983.
- 6
-
K. E. Atkinson.
``An Introduction to Numerical Analysis, Second Edition''.
John Wiley & Sons, New York, 1988.
- 7
-
R. Atkinson.
Gas-phase trophospheric chemistry of organic compounds: A review.
Atmos. Environ., 24A(1):1-41, 1990.
- 8
-
B. M. Ayyub and Kwan-Ling. Lai.
Selective sampling in simulation-based reliability assessment.
International Journal of Pressure Vessels & Piping.,
46(2):229-249, 1991.
- 9
-
B. M. Ayyub and Kwan-Ling. Lai.
Structural reliability assessment with ambiguity and vagueness in
failure.
Naval Engineers Journal., 104(3):21-35, 1992.
- 10
-
T. B. Bahder.
Mathematica for Scientists and Engineers.
Addison-Wesley, Reading, MA, USA, 1994.
- 11
-
D. Baldocchi, A. Guenther, P. Harley, et al.
The fluxes and air chemistry of isoprene above a deciduous hardwood
forest.
Philosophical Transactions of the Royal Society of London
Series. A-Physical Sciences & Engineering, 315(1696):279-296, 1995.
- 12
-
T. S. Barrett.
Probabilistic Design for Rotordynamic Simulations using
Receptance-based Reanalysis.
PhD thesis, Texas A&M University, 1996.
- 13
-
J. F. M. Barthelemy and L. E. Hall.
Automatic differentiation as a tool in engineering design.
Structural Optimization., 9(2):76-82, 1995.
- 14
-
L. R. Bauer and D. M. Hamby.
Relative sensitivities of existing and novel model parameters in
atmospheric tritium dose estimates.
Radiation Protection Dosimetry, 37(4):253-260.
- 15
-
J. C. Bezdek.
Fuzzy models -- what are they, and why?
Transactions on Fuzzy Systems, 1(1):1-6, 1993.
- 16
-
C. Bischof, A. Carle, P. Khademi, and A. Mauer.
``The ADIFOR 2.0 System for the Automatic Differentiation of Fortran
77 Programs''.
Preprint MCS-P481-1194, Mathematics and Computer Science Division,
Argonne National Laboratory, and CRPC-TR94491, Center for Research on
Parallel Computation, Rice University, 1994.
- 17
-
C. H. Bischof, P. Khademi, A. Mauer, and A. Carle.
ADIFOR 2.0 - automatic differentiation of Fortran 77 programs.
IEEE Computational Science & Engineering., 3(3):18-32, 1996.
- 18
-
C. H. Bischof, G. Pusch, and R. Knoesel.
Sensitivity analysis of the MM5 weather model using automatic
differentiation.
Computers in Physics, 6(10):605-612, 1996.
- 19
-
C. H. Bischof, L. Roh, and A. J. Maueroats.
ADIC - an extensible automatic differentiation tool for ANSI-C.
Software-Practice & Experience., 27(12):1427-1456, 1997.
- 20
-
P. Bjerager.
On computation methods for structural reliability analysis.
Structural Safety, 9(2):79-96, 1990.
- 21
-
G. E. P. Box and N. R. Draper.
Empirical Model-Building and Response Surfaces.
John Wiley & Sons, New York, 1987.
- 22
-
G. E. P. Box, Hunter W. G., and Hunter J. S.
Statistics for Experimenters: An Introduction to Design, Data
Analysis and Model Building.
John Wiley & Sons, New York, 1978.
- 23
-
K. Breitung.
Probability approximations by log likelihood maximization.
Journal of Engineering Mechanics-ASCE., 117(3):457-477, 1991.
- 24
-
R. P. Broadwater, H. E. Shaalan, and W. J. Fabrycky.
``Decision Evaluation with Interval Mathematics: A Power
Distribution System Case Study''.
IEEE Transactions on Power Delivery, 9:59-65, 1994.
- 25
-
W. Bryc.
The Normal Distribution.
LNS 100. Springer-Verlag, New York, 1995.
- 26
-
W. Brzakala and W. Pula.
Probabilistic analysis of foundation settlements.
Computers & Geotechnics., 18(4):291-309, 1996.
- 27
-
C. G. Bucher and U. Bourgund.
Fast and efficient response surface approach for structural
reliability problems.
Structural Safety., 7(1):57-66, 1990.
- 28
-
G. R. Camilo.
Food Web Analysis of Macrobenthic Riffle Communities (South
Llano River, Texas).
PhD thesis, Texas Tech University, 1992.
- 29
-
G. R. Carmichael, A. Sandu, and F. A. Potra.
Sensitivity analysis for atmospheric chemistry models via automatic
differentiation.
Atmospheric Environment., 31(3):475-489, 1997.
- 30
-
R. F. Carsel and R. S. Parrish.
Developing joint probability distributions of soil water retention
characteristics.
Water Resour. Res., 29:755-770, 1988.
- 31
-
M. C. Causley.
``User's Guide for the Urban Airshed Model. Volume IV: User's Manual
for the Emissions Preprocessor System''.
(U.S. EPA-450/4-90-007D), U.S. Environmental Protection Agency,
Research Triangle Park, NC., 1990.
- 32
-
Y. F. Chang and G. Corliss.
ATOMFT - solving ODEs and DAEs using taylor series.
Computers & Mathematics with Applications.,
28(10-12):209-233, 1994.
- 33
-
H. M. L. Chaves and M. A. Nearing.
Uncertainty analysis of the WEPP soil erosion model.
Transactions of the ASAE., 34(6):2437-2444, 1991.
- 34
-
L. Chen, H. Rabitz, D. B. Considine, C. H. Jackman, and J. A. Shorter.
Chemical reaction rate sensitivity and uncertainty in a
two-dimensional middle atmospheric ozone model.
Journal of Geophysical Research-Atmospheres.,
102(D13):16201-16214, 1997.
- 35
-
S. Chinchalkar.
Application of automatic differentiation to problems in engineering
analysis.
Computer Methods in Applied Mechanics & Engineering.,
118(1-2):197-207, 1994.
- 36
-
G. Christakos and V. M. Vyas.
``A composite space-time study of ozone distribution over the
eastern United States''.
Atmospheric Environment., page (In Press), 1998.
- 37
-
R. A. Christensen.
Fitting Distributions to Data, Volume XI.
Entropy Ltd., 1994.
- 38
-
K. C. Chun.
``Uncertainty Data Base for Emissions-Estimation Parameters: Interim
Report''.
``ANL/EES-TM-328'', Argonne National Laboratory, Argonne,
Illinois, 1987.
- 39
-
L. Cizelj, B. Mavko, and H. Riesch-Oppermann.
Application of first and second order reliability methods in the
safety assessment of cracked steam generator tubing.
Nuclear Engineering & Design, 147(3):359-368, 1994.
- 40
-
D. C. Collins and R. Avissar.
An evaluation with the fourier amplitude sensitivity test (FAST) of
which land-surface parameters are of greatest importance in atmospheric
modeling.
Journal of Climate., 7(5):681-703, 1994.
- 41
-
M. E. Coltrin, R. J. Kee, and F. M. Rupley.
Surface CHEMKIN: A general formalism and software for analyzing
heterogeneous chemical kinetics at a gas-surface interface.
International Journal of Chemical Kinetics, 23:1111, 1991.
- 42
-
G. Corliss, A. Griewank, T. Robey, and S. Wright.
Automatic differentiation applied to unsaturated flow -- ADOL-C
case study.
Technical Memorandum ANL/MCS-TM-162, Mathematics and Computer
Science Division, Argonne National Laboratory, April 1992.
- 43
-
NRC (National Research Council).
Rethinking the Ozone Problem in Urban and Regional Air
Pollution.
National Academy Press, Washington, DC, 1991.
- 44
-
L. A. Cox.
Reassessing benzene risks using internal doses and Monte-Carlo
uncertainty analysis.
Environmental Health Perspectives., 104(Suppl 6):1413-1429,
1996.
- 45
-
E. L. Crump, T. L. Jacobs, and P. A. Vesilind.
``Fuzzy-set Approach for Optimizing Sludge Application Land
Selection''.
Journal of Urban Planning and Development, 119:53-71, 1993.
- 46
-
Decisioneering, Inc, Denver, CO.
Crystal Ball 4.0 for Risk Analysis.
- 47
-
F. R. deHoog, J. H. Knight, and A. N. Stokes.
An improved method for numerical inversion of laplace transforms.
SIAM J. Sci. Stat. Comput., 3:357-366, 1982.
- 48
-
R. G. Derwent.
Treating uncertainty in models of the atmospheric chemistry of
nitrogen compounds.
Atmospheric Environment, 21(6):1445-1454, 1987.
- 49
-
L. Devroye.
Non-Uniform Random Variate Generation.
Springer-Verlag, New York, 1986.
- 50
-
M. Dobmann, M. Liepelt, and K. Schittkowski.
Algorithm 746 - PCOM - A Fortran code for automatic
differentiation.
ACM Transactions on Mathematical Software., 21(3):233-266,
1995.
- 51
-
J. D. Doll and D. L. Freeman.
``Randomly Exact Methods''.
Science, 234:1356-1360, 1986.
- 52
-
W. M. Dong, W. L. Chiang, and F. S. Wong.
Propagation of uncertainties in deterministic systems.
Computers & Structures., 26(3):415-423, 1987.
- 53
-
C. H. Dou, W. Woldt, I. Bogardi, and M. Dahab.
Steady state groundwater flow simulation with imprecise parameters.
Water Resources Research., 31(11):2709-2719, 1995.
- 54
-
C. H. Dou, W. Woldt, I. Bogardi, and M. Dahab.
Numerical solute transport simulation using fuzzy sets approach.
Journal of Contaminant Hydrology., 27(1-2):107-126, 1997.
- 55
-
E. P. Doughtery and Rabitz H.
A computational algorithm for the Green's function method of
sensitivity analysis in chemical kinetics.
International Journal of Chemical Kinetics, 11:1237-1249,
1979.
- 56
-
E. P. Doughtery, J. T. Hwang, and Rabitz H.
Further developments and applications of the Green's function
method of sensitivity analysis in chemical kinetics.
International Journal of Chemical Kinetics, 71(4):1794-1808,
1979.
- 57
-
S. G. Douglas, R. C. Keller, and E. L. Carr.
``User's Guide for the Urban Airshed Model. Volume III: User's
Manual for the Diagnostic Wind Model''.
(U.S. EPA-450/4-90-007C), U.S. Environmental Protection Agency,
Research Triangle Park, NC., 1990.
- 58
-
Dow Chemical Company, Midland, MI.
SimuSolv Reference Guide - Volumes I and II.
- 59
-
N. R. Draper and H. Smith.
Applied Regression Analysis.
John Wiley & Sons, New York, 1981.
- 60
-
A. M. Dunker.
The decoupled direct method for calculating sensitivity coefficients
in chemical kinetics.
Journal of Chemical Physics, 81(5):2385-2393, 1984.
- 61
-
Environmental Protection Agency (EPA).
Health Assessment Document for Tatrachloroethylene
(Perchloroethylene).
External Review Draft. EPA-600/8-82-005B, 1983.
- 62
-
U.S. EPA.
``Background Document for EPA's Composite Model for Landfills
(EPACML).''.
Technical report, U.S. EPA, Office of Solid Waste, Washington, D.C.,
1990.
Background Document and User's Guide.
- 63
-
U.S. EPA.
``Guide for Regulatory Application of the Urban Airshed Model
M-91.''.
(EPA-450/4-91-013), U.S. Environmental Protection Agency,
Research Triangle Park, NC., 1991.
- 64
-
U.S. EPA.
``EPA's Composite Model for leachate Migration and Transformation
Products (EPACMTP).''.
Technical report, U.S. EPA, Office of Solid Waste, Washington, D.C.,
1995.
Background Document and User's Guide.
- 65
-
G. W. Evans, W. Karwowski, and M. R. Wilhelm.
``An Introduction to Fuzzy Set Methodologies for Industrial and
Systems Engineering''.
In G. W. Evans, W. Karwowski, and M. R. Wilhelm, editors, Applications of Fuzzy Set Methodologies in Industrial Engineering, pages
3-11. Elsevier, New York, 1986.
- 66
-
A. H. Falls, G. J. McRae, and J. H. Seinfeld.
Sensitivity and uncertainty analysis of reaction mechanisms for
photochemical air pollution.
International Journal of Chemical Kinetics, 10:1137-1162,
1979.
- 67
-
D. Farrar, B. Allen, K. Crump, and A. Shipp.
Evaluation of uncertainty in input parameters to pharmacokinetic
models and the resulting uncertainty in output.
Toxicology Letters, 49:371-385, 1989.
- 68
-
V. V. Fedorov.
Analysis and design of simulation experiments for the approximation
of models.
IIASA, WP-83-71, 1983.
- 69
-
G. Fichtner, H. J. Reinhart, and D. W. T. Rippin.
``Design of Flexible Chemical Plants by the Application of Interval
Mathematics''.
Computers and Chemical Engineering, 14:1311-1316, 1990.
- 70
-
R. A. Fisher.
The Design of Experiments.
Hafner Press, New York, 1971.
- 71
-
G. S. Fishman.
Monte Carlo : Concepts, Algorithms, and Applications.
Springer Verlag, New York, 1996.
- 72
-
H. C. Frey.
Quantitative analysis of uncertainty and variability in environmental
policy making.
Available from: Directorate for Science and Policy Programs, American
Association for the Advancement of Science, 1333 H Street, NW, Washington,
DC, September 1992.
- 73
-
J. D. Fuentes, D. Wang, H. H. Neumann, et al.
Ambient biogneic hydrocarbons and isoprene emissions from a mixed
deciduous forest.
Journal of Atmospheric Chemitry, 25(1):67-95, 1996.
- 74
-
D. F. Gao, W. R. Stockwell, and J. B. Milford.
Global uncertainty analysis of a regional-scale gas-phase chemical
mechanism.
Journal of Geophysical Research-Atmospheres.,
101(D4):9107-9119, 1996.
- 75
-
C. W. Gardiner.
Handbook of Stochastic Methods for Physics, Chemistry and the
Natural Sciences.
Springer-Verlag, New York, 1983.
- 76
-
C. W. Gear.
The automatic integration of ordinary differential equations.
Communications of the ACM, 14:176-179, 1971.
- 77
-
C.W. Gear.
Numerical Initial Value Problems in Ordinary Differential
Equations.
Englewood Cliffs, 1971.
- 78
-
P. G. Georgopoulos.
``Regulatory Ozone Modeling: Status, Directions and Research
Needs''.
Environmental Health Perspectives, 103 - Supplement 2:107-132,
1995.
- 79
-
P. G. Georgopoulos and A. Roy.
Review and evaluation of the Reactive Plume Model (RPM-II)
modifications.
Ozone Research Center Technical Report ORC-TR93-01, Environmental and
Occupational Health Sciences Institute, Piscataway, NJ, 1993.
- 80
-
P. G. Georgopoulos and J. H. Seinfeld.
``Mathematical Modeling of Turbulent Reacting Plumes''.
A.R.B. Contract No. A0-044-32, California Institute of Technology,
Pasadena, CA, 1986.
- 81
-
P.G. Georgopoulos, S. Arunachalam, and S.W. Wang.
Alternative Metrics for Assessing the Relative Effectiveness of NOx
and VOC Emission Reductions in Controlling Ground-Level Ozone.
J. Air & Waste Manage. Assoc., 47:838-850, 1997.
- 82
-
R. Ghanem and D. Ghiocel.
Comparative analysis of FORM/SORM and polynomial chaos expansions
for highly nonlinear systems.
Proceedings of Engineering Mechanics, 1:535-538, 1996.
- 83
-
R. G. Ghanem and P. D. Spanos.
Stochastic Finite Elements: A Spectral Approach.
Springer-Verlag, New York, 1991.
- 84
-
M. Gonzalez.
Analysis of the effect of microscale turbulence on atmospheric
chemical reactions by means of the pdf approach.
Atmospheric Environment., 31(4):575-586, 1997.
- 85
-
A. Griewank.
On automatic differentiation.
In M. Iri and K. Tanabe, editors, Mathematical Programming:
Recent Developments and Applications, pages 83-108. Kluwer Academic
Publishers, 1989.
- 86
-
A. Griewank and G. F. Corliss, editors.
Automatic Differentiation of Algorithms: Theory, Implementation,
and Application.
SIAM, Philadelphia, Penn., 1991.
- 87
-
A. Griewank, D. Juedes, and J. Utke.
Algorithm 755 - ADOL-C - a package for the automatic
differentiation of algorithms written in C/C++.
ACM Transactions on Mathematical Software., 22(2):131-167,
1996.
- 88
-
A. Guenther, P. Zimmerman, L. Klinger, et al.
Estimates of regional natural volatile organic compound fluxes from
enclosure and ambient measurements.
Journal of Geophysical Research-Atmospheres,
101(D1):1345-1359, 1996.
- 89
-
J. P. Gwo, L. E. Toran, M. D. Morris, and G. V. Wilson.
Subsurface stormflow modeling with sensitivity analysis using a
Latin-Hypercube Sampling technique.
Ground Water., 34(5):811-818, 1996.
- 90
-
M. M. Hamed and P. B. Bedient.
On the performance of computational methods for the assessment of
risk from ground-water contamination.
Ground Water, 35(4):638-646, 1997.
- 91
-
M. M. Hamed, P. B. Bedient, and C. N. Dawson.
Probabilistic modeling of aquifer heterogeneity using reliability
methods.
Advances in Water Resources, 19(5):277-295, 1996.
- 92
-
M. M. Hamed, J. P. Conte, and P. B. Bedient.
Probabilistic screening tool for ground-water contaminant assessment.
Journal of Environmental Engineering, 121(11):767-775, 1995.
- 93
-
D. Hattis, S. Tuler, L. Finkelstien, and L. Zhi-Quan.
A Pharmakokinetic/Mechanism-Based Analysis of the Carcinogenic Risk
of Perchloroethylene.
No. CTPID 86-7, Center for Technology, Policy and Industrial
Development, Massachusetts Institute of Technology, 1986.
- 94
-
A. Heck.
``Introduction to Maple''.
Springer-Verlag, New York, 1992.
- 95
-
B. Heller.
``MACSYMA for Statisticians''.
John Wiley & Sons, New York, 1991.
- 96
-
J. C. Helton.
Uncertainty and sensitivity analysis techniques for use in
performance assessment for radioactive waste disposal.
pages 327-367, 1993.
- 97
-
M. Hohenbichler, S. Gollwitzer, W. Kruse, and R. Rackwitz.
New light on first- and second-order reliability methods.
Structural Safety., 4(4):267-284, 1987.
- 98
-
J. E. Horwedel, R. J. Raridon, and R. Q. Wright.
Sensitivity analysis of AIRDOS-EPA using ADGEN with matrix
reduction algorithms.
Technical Memorandum ORNL/TM 11373, Oak Ridge National Laboratory,
Oak Ridge, Tenn., 1989.
- 99
-
J. E. Horwedel, R. J. Raridon, and R. Q. Wright.
Automated sensitivity analysis of an atmospheric dispersion model.
Atmospheric Environment., 26A(9):1643-1649, 1992.
- 100
-
Jim E. Horwedel.
GRESS: A preprocessor for sensitivity studies on Fortran
programs.
In Andreas Griewank and George F. Corliss, editors, Automatic
Differentiation of Algorithms: Theory, Implementation, and Application,
pages 243-250. SIAM, Philadelphia, Penn., 1991.
- 101
-
P. Hovland, C. Bischof, D. Spiegelman, and M. Casella.
Efficient derivative codes through automatic differentiation and
interface contraction - an application in biostatistics.
SIAM Journal on Scientific Computing., 18(4):1056-1066, 1997.
- 102
-
P. H. Howard, editor.
``Handbook of Fate and Exposure Data for Organic Chemicals'',
volume II.
Lewis Publishers, 1990.
- 103
-
P. J. Huber.
Robust statistical procedures.
SIAM, Philadelphia, 2nd edition, 1996.
- 104
-
M. Hurme, M. Dohnal, and M. Jaervalaeinen.
``Qualitative Reasoning in Chemical and Safety Engineering''.
Computers and Chemical Engineering, 17:441-446, 1993.
- 105
-
D. Hwang, D. W. Byun, and M. T. Odman.
An automatic differentiation technique for sensitivity analys is of
numerical advection schemes in air quality models.
Atmospheric Environment., 31(6):879-888, 1997.
- 106
-
J. T. Hwang, E. P. Dougherty, and H. Rabitz.
The Green's function method of sensitivity analysis in chemical
kinetics.
Journal of Chemical Physics, 69(11):5180-5191, 1978.
- 107
-
R. L. Iman and W. J. Conover.
Small sample sensitivity analysis techniques for computer models,
with an application to risk assessment.
Communications in Statistics, Part A. Theory and Methods,
17:1749-1842, 1980.
- 108
-
R. L. Iman and M. J. Shortencarier.
A FORTRAN 77 program and user's guide for the generation of Latin
Hypercube and random samples for use with computer models.
NUREG/CR-3624, SAND83-2365, Sandia National Laboratories,
Albuquerque, NM, 1984.
- 109
-
M. Iri.
Roles of automatic differentiation in nonlinear analysis and
high-quality computation.
Nonlinear Analysis-Theory Methods & Applications.,
30(7):4317-4328, 1997.
- 110
-
J. C. Issac and R. K. Kapania.
Aeroelastic sensitivity analysis of wings using automatic
differentiation.
AIAA Journal., 35(3):519-525, 1997.
- 111
-
Y. S. Jang, N. Sitar, and A. D. Kiureghian.
Reliability analysis of contaminant transport in saturated porous
media.
Water Resources Research, 30(8):2435-2448, 1994.
- 112
-
P. H. M. Janssen, P. S. C. Heuberger, and R. Sanders.
UNCSAM: A tool for automating sensitivity and uncertainty
analysis.
Environmental Software., 9(1):1-11, 1994.
- 113
-
M. Jerosolimski and L. Levacher.
New method for fast calculation of jacobian matrices: automatic
differentiation for power system simulation.
IEEE Transactions on Power Systems., 9(2):700-706, 1994.
- 114
-
N. L. Johnson and S. Kotz.
Distributions in Statistics: Continuous Multivariate
Distributions.
John Wiley & Sons, New York, 1972.
- 115
-
C. H. Juang, X. H. Huang, and D. J. Elton.
Modelling and analysis of non-random uncertainties - fuzzy-set
approach.
International Journal for Numerical & Analytical Methods in
Geomechanics, 16(5):335-350, 1992.
- 116
-
M. H. Kalos and P. A. Whitlock.
Monte Carlo Methods : Basics.
John Wiley & Sons, New York, 1986.
- 117
-
A. Karamchandani and C. A. Cornel.
Sensitivity estimation within first and second order reliability
methods.
Structural Safety, 11(2):95-107, 1992.
- 118
-
L. S. Katafygiotis and C. Papadimitriou.
Dynamic response variability of structures with uncertain properties.
Earthquake Engineering & Structural Dynamics., 25(8):775-793,
1996.
- 119
-
A. Kaufmann and M. M. Gupta.
Introduction to Fuzzy Arithmetic: Theory and Applications.
Van Nostrand Reinhold Company, New York, New York, 1985.
- 120
-
R. B. Kearfott.
Algorithm 763: INTERVAL_ARITHMETIC: A fortran 90 module for an
interval data type.
ACM Transactions on Mathematical Software, 22(4):385-392,
December 1996.
- 121
-
R. B. Kearfott, M. Dawande, K. Du, and C. Hu.
Algorithm 737: INTLIB: A portable Fortran-77 elementary
function library.
ACM Transactions on Mathematical Software, 20(4):447-459,
December 1994.
- 122
-
R. B. Kearfott and V. Kreinovich, editors.
``Applications of Interval Computations'', volume 3 of Applied Optimization.
Kluwer Academic Publishers, 1996.
- 123
-
A. I. Khuri and J. A. Cornell.
Response Surfaces: Design and Analyses.
Marcel Dekker, New York, 1987.
- 124
-
T. W. Kim, S. H. Chang, and B. H. Lee.
Comparative study on uncertainty and sensitivity analysis and
application to LOCA model.
Reliability Engineering & System Safety., 21(1):1-26, 1988.
- 125
-
G.J. Klir.
``The Many Faces of Uncertainty''.
In B.M Ayyub and M.M. Gupta, editors, Uncertainty Modeling and
Analysis: Theory and Applications, pages 3-19. Elsevier Science, 1994.
- 126
-
J. G. Klir and B. Yuan.
Fuzzy Sets and Fuzzy Logic: Theory and Applications.
Prentice Hall, Englewood Cliffs, New Jersey, 1995.
- 127
-
M. Koda, G. J. McRae, and J. H. Seinfeld.
Automatic sensitivity analysis of kinetic mechanisms.
International Journal of Chemical Kinetics, 11:427-444, 1979.
- 128
-
J. Korelc.
Automatic generation of finite-element code by simultaneous
optimization of expressions.
Theoretical Computer Science., 187(1-2):231-248, 1997.
- 129
-
H. U. Koyluoglu, A. S. Cakmak, and S. R. K. Neilson.
``Interval algebra to deal with pattern loading and structural
uncertainty''.
Journal of Engineering Mechanics, 121(11):1149-1157, 1995.
- 130
-
A. Kraslawski.
Review of applications of various types of uncertainty in chemical
engineering.
Chemical Engineering & Processing., 26(3):185-191, 1989.
- 131
-
A. Kraslawski, T. Koiranen, and L. Nystrom.
``Concurrent Engineering: Robust Design in Fuzzy Environment''.
Computers and Chemical Engineering, 17S:S447-S452, 1993.
- 132
-
V. Kreinovich, L. Anatoly, J. Rohn, and P. Kahl, editors.
``Computational Complexity and Feasibility of Data Processing
and Interval Computations'', volume 10 of Applied Optimization.
Kluwer Academic Publishers, 1997.
- 133
-
K. Kubota.
PADRE2, a FORTRAN precompiler yielding error estimates and second
derivatives.
In Andreas Griewank and George F. Corliss, editors, Automatic
Differentiation of Algorithms: Theory, Implementation, and Application,
pages 251-262. SIAM, Philadelphia, Penn., 1991.
- 134
-
S. Kutscher and J. Schulze.
``Some Aspects of Uncertain Modelling Experiences in Applying
Interval Mathematics to Practical Problems''.
In H. Bandemer, editor, Modelling Uncertain Data, pages 62-68.
Akademie Verlag, Berlin, 1993.
- 135
-
B. Lamb, D. Gay, H. Westberg, and T. Pierce.
Biogenic hydrocarbon emission inventory for the U.S.A. using a
simple forest canopy model.
Atmos. Environ., 27A(11):1673-1690, 1993.
- 136
-
B. Lamb, A. Guenther, D. Gay, and H. Westberg.
National inventory of biogenic hydrocarbon emissions.
Atmos. Environ., 21(8):1695-1705, 1987.
- 137
-
R. G. Lamb.
``Note on the Application of K-Theory to Diffusion Problems
Involving Nonlinear Chemical Reaction''.
Atmospheric Environment, 7:257-263, 1973.
- 138
-
R. G. Lamb, W. R. Shu, D. R. Durran, J. H. Seinfeld, and L. E. Reid.
Continued research in mesoscale air pollution simulation modeling,
volume VI: further studies in the modeling of microscale phenomena.
Technical report, U.S. EPA, 1984.
EPA-600/3-84-095B.
- 139
-
R.G. Lamb.
Continued research in mesoscale air pollution simulation modeling,
volume iii: modeling of microscale phenomena.
Technical report, U.S. EPA, 1976.
EPA-60-0/4-76-016c.
- 140
-
B. W. Lee and O. K. Lim.
Application of the first-order perturbation method to optimal
structural design.
Structural Engineering & Mechanics., 4(4):425-436, 1996.
- 141
-
J. T. Lim, H. J. Gold, G. G. Wilkerson, and C. D. Raper.
Monte carlo/response surface strategy for sensitivity analysis.
application to a dynamic model of vegetative plant growth.
Applied Mathematical Modelling., 13(8):479-484, 1989.
- 142
-
X. Lin, O. T. Melo, D. R. Hastie, et al.
Case study of ozone production in a rural area of central ontario.
Atmos. Environ., 26A(2):311-324, 1992.
- 143
-
T. S. Liou and H. D. Yeh.
Conditional expectation for evaluation of risk groundwater flow and
solute transport - one-dimensional analysis.
Journal of Hydrology., 199(3-4):378-402, 1997.
- 144
-
M. K. Liu, G. E. Moore, and H. Y. Holman.
``Survey of Plume Models for Atmospheric Application''.
Interin Report (EA-2243/1616-9), Systems Applications
International, San Rafael, California, February 1982.
- 145
-
Y. Q. Liu and R. Avissar.
Sensitivity of shallow convective precipitation induced by land
surface heterogeneities to dynamical and cloud microphysical parameters.
Journal of Geophysical Research-Atmospheres.,
101(D3):7477-7497, 1996.
- 146
-
W. L. Loh.
On Latin Hypercube Sampling.
Annals of Statistics., 24(5):2058-2080, 1996.
- 147
-
R. Lu, Y. Luo, and J. P. Conte.
Reliability evaluation of reinforced concrete beam.
Structural Safety, 14:277-298, 1994.
- 148
-
G. J. McRae, W. R. Goodin, and J. H. Seinfeld.
``Mathematical Modeling of Photochemical Air Pollution''.
Technical report, Environmental Quality Laboratory, California
Institute of Technology, Pasadena, CA, 1982.
(EQL report no. 18).
- 149
-
G. J. McRae, J. W. Tilden, and J. H. Seinfeld.
Global sensitivity analysis - a computational implementation of the
fourier amplitude sensitivity test (FAST).
Computers and Chemical Engineering, 6(1):15-25, 1982.
- 150
-
C. Mischler, X. Joulia, E. Hassold, A. Galligo, and R. Esposito.
Automatic differentiation applications to computer aided process
engineering.
Computers & Chemical Engineering., 19(Suppl):S779-S784, 1995.
- 151
-
R. E. Moore.
``Interval Analysis''.
Prentice-Hall, Englewood Cliffs, New Jersey, 1966.
- 152
-
R. E. Moore.
``Methods and Applications of Interval Analysis''.
SIAM, Philadelphia, 1979.
- 153
-
E. R. Morris, E. C. Chang, Shepard S. B., and M. P. Ligocki.
``User's Guide to Version IV of the Reactive Plume Model
(RPM-IV)''.
(SYSAPP-92/037), Systems Applications International, San Rafael,
California, April 1992.
- 154
-
E. R. Morris and T. C. Myers.
``User's Guide for the Urban Airshed Model. Volume I: User's Guide
for the UAM (CB-IV).''.
(EPA-450/4-90-007A), U.S. Environmental Protection Agency, 1990.
- 155
-
A. Neumaier.
``Interval Methods for Systems of Equations''.
Cambridge University Press, Cambridge, England, 1990.
- 156
-
E. M. Oblow, F. G. Pin, and R. Q. Wright.
Sensitivity analysis using computer calculus: A nuclear waste
application.
Nuclear Science & Engineering, 94(1):46-65, 1986.
- 157
-
H. Osnes.
Stochastic analysis of velocity spatial variability in bounded
rectangular heterogeneous aquifers.
Advances in Water Resources., 21(3):203-215, 1998.
- 158
-
I. Ozaki and T. Terano.
Applying an automatic differentiation technique to sensitivity
analysis in design optimization problems.
Finite Elements in Analysis & Design., 14(2-3):143-151, 1993.
- 159
-
W. W. Pan, M. A. Tatang, G. J. McRae, and R. G. Prinn.
Uncertainty analysis of direct radiative forcing by anthropogenic
sulfate aerosols.
Journal of Geophysical Research-Atmospheres,
102(D18):21915-21924, 1997.
- 160
-
A. Papoulis.
Probability, Random Variables, and Stochastic Processes.
McGraw-Hill, New York, 1991.
- 161
-
F. G. Pin, B. A. Worley, et al.
An automated sensitivity analysis procedure for the performance
assessment of nuclear waste isolation systems.
Nuclear & Chemical Waste Management, 6(3-4):255-263, 1986.
- 162
-
PLG, Inc, Newport Beach, CA.
RISKMAN: Integrated Quantitative Risk Assessment Package.
- 163
-
W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling.
``Numerical Recipes (Fortran Version)''.
Cambridge University Press, New York, 1989.
- 164
-
Primavera Systems, Inc, San Francisco, CA.
Monte Carlo 3.0.
- 165
-
G. J. Prokopakis.
Decoupled direct method for the solution of ordinary boundary value
problems.
Applied Mathematical Modelling., 17(9):499-503, 1993.
- 166
-
M. L. Puri and D. A. Ralescu.
Fuzzy random variables.
J. Math. Analysis and Applications, 114:409-422, 1986.
- 167
-
S. Quin and G. E. O. Widera.
``Application of Fuzzy Relational Modeling to Industrial Product
Quality Control''.
Journal of Pressure Vessel Technology - Transactions of the
ASME, 118:121-124, 1996.
- 168
-
K. Radhakrishnan and D. A. Bittker.
GCKP86 - an efficient code for general chemical kinetics and
sensitivity analysis computations.
Chemical and Physical Processes in Combustion, 4:1-46, 1986.
- 169
-
M. E. Reed and W. B. Whiting.
Sensitivity and uncertainty of process designs to thermodynamic model
parameters: a Monte Carlo approach.
Chemical Engineering Communications, 124:39-48, 1993.
- 170
-
R. H. Reitz and R. J. Nolan.
Physiological pharmacokinetic modeling for perchloroethylene dose
adjustment.
Unpublished Data Submitted to EPA Science Advisory Board, 1986.
- 171
-
L. C. Rich and D. R. Hill.
Automatic differentiation in MATLAB.
Applied Numerical Mathematics., 9(1):33-43, 1992.
- 172
-
Y. Rong, R. F. Wang, and R. Chou.
Monte Carlo simulation for a groundwater mixing model in soil
remediation of tetrachloroethylene.
Journal of Soil Contamination., 7(1):87-102, 1998.
- 173
-
S. J. Roselle.
Effects of biogenic emission uncertainties on regional photochemical
modeling of control strategies.
Atmospheric Environment., 28(10):1757-1772, 1994.
- 174
-
T. Ross.
Fuzzy Logic with Engineering Applications.
McGraw-Hill, 1995.
- 175
-
N. Rostaing, S. Dalmas, and A. Galligo.
Automatic differentiation in Odyssee.
Tellus Series A-Dynamic Meteorology & Oceanography.,
45A(5):558-568, 1993.
- 176
-
A. Roy.
Mechanistic Modeling of Transport and Metabolism in
Physiological Systems.
PhD thesis, Rutgers, The State University of New Jersey, New
Brunswick, NJ, 1997.
- 177
-
R. Y. Rubinstein.
Simulation and the Monte Carlo Method.
John Wiley & Sons, New York, 1981.
- 178
-
R. D. Scheffe and R. E. Morris.
A Review of the Development and Application of the Urban Airshed
Model.
Atmospheric Environment, 27B:23-39, 1993.
- 179
-
B. A. Schichtel and R. B. Husar.
Regional simulation of atmospheric pollutants with the CAPITA
Monte Carlo model.
Journal of the Air & Waste Management Association.,
47(3):331-343, 1997.
- 180
-
P. R. Schroeder et al.
``The hydrologic evaluation of landfill performance model (HELP):
Volume I - Users guide for version I and Volume II - Documentation for
version I.''.
Technical report, U.S. EPA, U.S. EPA, Washington, D.C., 1984.
EPA/530-SW-84-009.
- 181
-
J. H. Seinfeld.
``Atmospheric Chemistry and Physics of Air Pollution''.
John Wiley & Sons, 1986.
- 182
-
J. H. Seinfeld.
Ozone air quality models: A critical review.
Journal of Air Pollution Control Association, 38(5):616-645,
1988.
- 183
-
K. Sexton and H. Westberg.
``Photochemical Ozone Formation from Petroleum Refinery
Emissions''.
Atmospheric Environment, 17:467-475, 1983.
- 184
-
H. E. Shaalan and R. P. Broadwater.
``Using Interval Mathematics in Cost Benefit Analysis of
Distribution Automation''.
Electric Power Systems Research, 27:145-152, 1993.
- 185
-
T. D. Sharkey.
Isoprene synthesis by plants and animals.
Endeavour, 20(2):74-78, 1996.
- 186
-
D. Shiriaev, A. Griewank, and J. Utke.
A User Guide to ADOL-F: Automatic Differentiation of
Fortran Codes.
Institute of Scientific Computing, TU Dresden, Germany.
- 187
-
T. W. Simon.
Combining physiologically based pharmacokinetic modeling with Monte
Carlo simulation to derive an acute inhalation guidance value for
trichloroethylene.
Regulatory Toxicology & Pharmacology., 26(3):257-270, 1997.
- 188
-
D. Simpson, A. Guenther, C. N. Hewitt, and R. Steinbrecher.
Biogenic emissions in europe .1. estimates and uncertainties.
Journal of Geophysical Research-Atmospheres,
100(D11):22875-22890, 1995.
- 189
-
G. Sistla, S.T. Rao, and Godowitch J.
Sensitivity analysis of a nested ozone air quality model.
Proceedings of the AMS/AWMA Joint Conference on Applications of Air
Pollution Modeling and Its Applications, New Orleans, LA, 1991.
- 190
-
V. Sitaraman and R. B. Oza.
Particle trajectory model of atmospheric dispersion on a parallel
processing system.
Environmental Software., 11(4):229-234, 1996.
- 191
-
M. Smithson.
Ignorance and Uncertainty: Emerging Paradigms.
Springer-Verlag, New York, 1988.
- 192
-
I. M. Sobol.
A Primer for the Monte Carlo Method.
CRC Press, 1994.
- 193
-
D. J. Spiegelhalter.
``A Statistical View of Uncertainty in Expert Systems''.
In W. A. Gale, editor, Artificial Intelligence and Statistics,
pages 17-55. Addison-Wesley, Reading, 1986.
- 194
-
M. Stein.
Large sample properties of simulations using Latin Hypercube
Sampling.
Technometrics., 29(2):143-151, 1987.
- 195
-
D. A. Stewart and M. Liu.
``Development and Application of a Reactive Plume Model''.
Atmospheric Environment, 15:2377-2393, 1981.
- 196
-
E. A. Sudicky.
The Laplace Transform Galerkin Technique: A time-continuous
finite element theory and application to mass transport in groundwater.
Water Resour. Res., 25(8):1833-1846, 1989.
- 197
-
M. A. Tatang.
``Combined Stochastic and Deterministic Approach in Solving
Stochastic Differential Equations''.
Master's thesis, Carnegie Mellon University, 1992.
- 198
-
M. A. Tatang.
``Direct Incorporation of Uncertainty in Chemical and
Environmental Engineering Systems.''.
PhD thesis, Massachusetts Institute of Technology, 1995.
- 199
-
M. A. Tatang, W. W. Pan, R. G. Prinn, and G. J. McRae.
An efficient method for parametric uncertainty analysis of numerical
geophysical model.
Journal of Geophysical Research-Atmospheres,
102(D18):21925-21932, 1997.
- 200
-
R. Tomovi'c and M. Vukobratovi'c.
General Sensitivity Theory.
Elsevier, New York, 1972.
- 201
-
C. P. Tsokos.
Probability Distributions: An Introduction to Probability Theory
with Applications.
Wadsworth Publishing Company, Belmont, CA, 1972.
- 202
-
U. S. Environmental Protection Agency.
Exposure Models Library (EML) and Integrated Model Evaluation
System (IMES), March 1996.
EPA/600/C-92/002, Developed for the Office of Research and
Development, USEPA, by Versar, Inc., Columbia, MD.
- 203
-
U. S. Environmental Protection Agency.
Summary Report for the Workshop on Monte Carlo Analysis.
EPA/630/R-96/001, September 1996.
- 204
-
U. S. Environmental Protection Agency.
Policy for use of Probabilistic Analysis in Risk Assessment.
EPA/630/R-97/001, March 1997.
- 205
-
M. Th. van Genuchten.
A closed form equation for predicting the hydraulic conductivity of
unsaturated soils.
Soil Sci. Soc. Am. J., 44:892-898, 1980.
- 206
-
M. Vanderperk.
Effect of model structure on the accuracy and uncertainty of results
from water quality models.
Hydrological Processes., 11(3):227-239, 1997.
- 207
-
B. E. Vieux and S. Needham.
Nonpoint-pollution model sensitivity to grid-cell size.
Journal of Water Resources Planning & Management-ASCE.,
119(2):141-157, 1993.
- 208
-
J. Villadsen and M. L. Michelsen.
Solution of Differential Equation Models by Polynomial
Approximation.
Prentice-Hall, Englewood Cliffs, New Jersey, 1978.
- 209
-
L. Vuilleumier, R. A. Harley, and N. J. Brown.
First- and second-order sensitivity analysis of a photochemically
reactive system (a Green's function approach).
Environmental Science & Technology., 31(4):1206-1217, 1997.
- 210
-
V. M. Vyas and G. Christakos.
Spatiotemporal analysis and mapping of sulfate deposition data over
eastern usa.
Atmospheric Environment., 31(21):3623-3633, 1997.
- 211
-
A. Walia.
Microenvironmental Modeling Integrated With Geographic
Information Systems for Exposure Analysis.
PhD thesis, Rutgers University, Piscataway, NJ, January 1998.
- 212
-
P. Walley.
``Statistical Reasoning with Imprecise Probabilities''.
Chapman & Hall, London, 1991.
- 213
-
S.W. Wang, P.G. Georgopoulos, G. Li, and H. Rabitz.
Condensing Complex Atmospheric Chemistry Mechanisms - 1: The Direct
Constrained Approximate Lumping (DCAL) Method Applied to Alkane
Photochemistry.
Environ. Sci. Technol., In Press, 1998.
- 214
-
G. Whiffen, C. Shoemaker, C. H. Bischof, A. Ross, and A. Carle.
Application of automatic differentiation to groundwater transport
models.
In A. Peters, editor, Computational Methods in Water Resources
X, pages 173-182. Kluwer Academic Publishers, 1994.
- 215
-
W. B. Whiting, T. M. Tong, and M. E. Reed.
Effect of uncertainties in thermodynamic data and model parameters on
calculated process performance.
Industrial & Engineering Chemistry Research.,
32(7):1367-1371, 1993.
- 216
-
G. Z. Whitten, H. Hogo, and J. P. Killus.
``The Carbon Bond Mechanism: A Condensed Kinetic Mechanism for
Photochemical Smog'' Analysis Techniques to a Photochemical Ozone Model''.
Environmental Science and Technology, 14:690, 1980.
- 217
-
E. B. WIlson and M. M. Hilferty.
The distribution of chi-square.
Proceedings of the National Academy of Sciences, 17:684-688,
1931.
- 218
-
W. Winston.
Simulation Modeling Using @RISK (User's Guide to @RISK
software).
Palisade Corporation - PAL #54, Newfield, New York, 1996.
- 219
-
K. L. Wood, K. N. Otto, and E. K. Antonsson.
``Engineering Design Calculations with Fuzzy Parameters''.
Fuzzy Sets and Systems, 52:1-20, 1992.
- 220
-
B. A. Worley, F. G. Pin, J. E. Horwedel, and E. M. Oblow.
ADGEN - ADjoint GENerator for computer models.
Technical Report ORNL/TM-11037, Oak Ridge National Laboratory, 1989.
- 221
-
J. Yen, R. Langari, and L. A. Zadeh.
Industrial Applications of Fuzzy Logic and Intelligent Systems.
IEEE Press, Piscataway, New Jersey, 1995.
- 222
-
L. A. Zadeh.
``Fuzzy Sets''.
Information and Control, 8:338-253, 1965.
- 223
-
P. Zannetti.
``Air Pollution Modeling''.
Van Nostrand Reinhold, 1990.
- 224
-
D. X. Zhang.
Numerical solutions to statistical moment equations of groundwater
flow in nonstationary, bounded, heterogeneous media.
Water Resources Research., 34(3):529-538, 1998.
- 225
-
J. Zimmermann and D. Poppe.
A supplement for the RADM2 chemical mechanism - the photooxidation
of isoprene.
Atmos. Environ., 30(8):1255-1269, 1996.
Sastry S. Isukapalli
1999-01-19