Interval equations


  1. Alicja Piasecka Belkhayat, Interval boundary element method for 2D transient diffusion problem,
    Engineering Analysis with Boundary Elements, Volume 32, Issue 5, May 2008, Pages 424-430 [ Download ]

  2. Rosana Rodríguez-López, Monotone method for fuzzy differential equations
    Fuzzy Sets and Systems, Volume 159, Issue 16, 16 August 2008, Pages 2047-2076 [ Download ]

  3. Rostislav Horèík, Solution of a system of linear equations with fuzzy numbers
    Fuzzy Sets and Systems, Volume 159, Issue 14, 16 July 2008, Pages 1788-1810 [ Download ]

  4. Zhiping Qiua, Di Yanga and Isaac Elishakoff, Probabilistic interval reliability of structural systems
    International Journal of Solids and Structures Volume 45, Issue 10, 15 May 2008, Pages 2850-2860 [ Download ]

  5. Mehdi Modares and Robert L. Mullen, Static Analysis of Uncertain Structures Using Interval Eigenvalue Decomposition,
    NSF workshop on Reliable Engineering Computing, February 20-22, 2008, Savannah, Georgia, USA. [ Download ]

  6. F. Massa, K. Ruffin, T. Tison and B. Lallemand, A complete method for efficient fuzzy modal analysis,
    Journal of Sound and Vibration, Volume 309, Issues 1-2, , 8 January 2008, Pages 63-85. [ Download ]

  7. M. V. Rama Rao, R. Ramesh Reddy, Analysis of a cable-stayed bridge with uncertainties
    in Young’s modulus and load - A fuzzy finite element approach
    Structural Engineering and Mechanics, Vol. 27, No. 3 (2007) 263-276
    [ Download ]

  8. M. V. Rama Rao, R. Ramesh Reddy, Analysis of a cable-stayed bridge with uncertainties
    in Young’s modulus and load - A fuzzy finite element approach
    Structural Engineering and Mechanics, Vol. 27, No. 3 (2007) 263-276
    [ Download ]

  9. C. Jianga, X. Hana, , and G.R. Liub, Optimization of structures with uncertain constraints
    based on convex model and satisfaction degree of interval
    Computer Methods in Applied Mechanics and Engineering
    Volume 196, Issues 49-52, 1 November 2007, Pages 4791-4800
    [ Download ]

  10. David Moens and Dirk Vandepittea, Interval sensitivity theory and its application
    to frequency response envelope analysis of uncertain structures.
    Computer Methods in Applied Mechanics and Engineering
    Volume 196, Issues 21-24 , 1 April 2007, Pages 2486-2496
    [ Download ]

  11. M.V. Rama Rao and R. Ramesh Reddy
    "Analysis of a cable-stayed bridge with multiple uncertainties - A fuzzy finite element approach",
    Journal of Structural Engineering,
    Vol. 33, No.6, February – March 2007 pp. 523–525
    [ Download ]

  12. Bulent Tutmeza, Erhan Tercan, Spatial estimation of some mechanical properties of rocks by fuzzy modelling.
    Computers and Geotechnics, Volume 34, Issue 1 , January 2007, Pages 10-18
    [ Download ]

  13. Suppression of the Wrapping Effect by Taylor Model-based Verified Integrators: The Single Step
    K. Makino, M. Berz, International Journal of Pure and Applied Mathematics, 36(2) (2006) 175-197

  14. Eldon R. Hansen: Sharpening Interval Computations. Reliable Computing 12(1): 21-34 (2006)

  15. Eldon R. Hansen: A Multidimensional Interval Newton Method. Reliable Computing 12(4): 253-272 (2006)

  16. Eldon R. Hansen, G. William Walster: Solving Overdetermined Systems of Interval Linear Equations. Reliable Computing 12(3): 239-243 (2006)

  17. Jiri Rohn, "A Handbook of Results on Interval Linear Problems", 2006
    [ Download ] [ Local copy ]

  18. Jiri Rohn: Regularity of Interval Matrices and Theorems of the Alternatives. Reliable Computing 12(2): 99-105 (2006)

  19. D. Moens and D. Vandepitte. Recent advances in non-probabilistic approaches for non-deterministic dynamic finite element analysis.
    Archives of Computational Methods in Engineering, 13(3):389-464, 2006.

  20. INTERVAL FINITE ELEMENT METHODS: NEW DIRECTIONS
    Rafi Muhanna, Vladik Kreinovich, Pavel Solin, Jack Chessa, Roberto Araiza, and Gang Xiang
    UTEP-CS-06-03 in pdf and in Compressed Postscript,2006 [ Download ] [ Local copy ]

  21. Youdong Lin and Mark A. Stadtherr, 2006, Validated Solution of Initial Value Problems for ODEs with Interval Parameters, [ Download ]

  22. I. Skalna, A Method for Outer Interval Solution of Systems of Linear Equations Depending Linearly on Interval Parameters,
    Reliable Computing, Volume 12, Number 2, April, 2006, Pages 107-120 [ Download ]

  23. Rama Rao,M.V.,Ramesh Reddy R.
    "Fuzzy finite element analysis of structures with uncertainty in load and material properties",
    Journal of Structural Engineering,
    Vol. 33, No.2, June–July 2006 pp. 129–137
    [ Download ]

  24. Götz Alefeld, Günter Mayer: Enclosing Solutions of Singular Interval Systems Iteratively. Reliable Computing 11(3): 165-190 (2005)

  25. I. Babuska, F. Nobile, and R. Tempone. Worst case scenario analysis for elliptic problems with uncertainty. Numer. Math., 101:185–219, 2005
    [ Download ]

  26. High-Order Verified Solutions of the 3D Laplace Equation
    S. Manikonda, M. Berz, K. Makino, Transactions on Computers 11,4 (2005) 1604-1610

  27. Suppression of the Wrapping Effect by Taylor Model-based Verified
    Integrators: Long-term Stabilization by Preconditioning K. Makino, M. Berz,
    International Journal of Differential Equations and Applications 10(4) (2005) 353-384

  28. Suppression of the Wrapping Effect by Taylor Model-based Verified
    Integrators: Long-term Stabilization by Shrink Wrapping M. Berz, K. Makino,
    International Journal of Differential Equations and Applications 10(4) (2005) 385-403

  29. An Accurate High-Order Method to Solve the Helmholtz Boundary Value Problem for the 3D Laplace Equation
    S. Manikonda, M. Berz, International Journal of Pure and Applied Mathematics, 23,3 (2005) 365-378

  30. D. Moens and D. Vandepitte. A survey of non-probabilistic uncertainty treatment in finite element analysis.
    Computer Methods in Applied Mechanics and Engineering, 194(14-16):1527-1555, 2005.

  31. D. Moens and D. Vandepitte. A fuzzy finite element procedure for the calculation of uncertain frequency response functions of damped structures: Part 1 - procedure.
    Journal of Sound and Vibration, 288(3):431-462, 2005.

  32. H. De Gersem, D. Moens, and D. Vandepitte. A fuzzy finite element procedure for the calculation of uncertain frequency response functions of damped structures: Part 2 - numerical case studies.
    Journal of Sound and Vibration, 288(3):463-486, 2005.

  33. Eldon R. Hansen: A Theorem on Regularity of Interval Matrices. Reliable Computing 11(6): 495-497 (2005)

  34. Jiri Rohn: How Strong Is Strong Regularity? Reliable Computing 11(6): 491-493 (2005)

  35. Jiri Rohn: Linear Interval Equations: Midpoint Preconditioning May Produce a 100% Overestimation for Arbitrarily Narrow Data Even in Case n = 4. Reliable Computing 11(2): 129-135 (2005)

  36. Jiri Rohn: A Normal Form Supplement to the Oettli-Prager Theorem. Reliable Computing 11(1): 35-39 (2005)

  37. Götz Alefeld, Zhengyu Wang, Shen Zuhe: Enclosing Solutions of Linear Complementarity Problems for H-Matrices. Reliable Computing 10(6): 423-435 (2004)

  38. D. Moens and D. Vandepitte. An interval finite element approach for the calculation of envelope frequency response functions.
    International Journal for Numerical Methods in Engineering, 61(14):2480-2507, 2004.

  39. Rama Rao,M.V. (2004),
    "Analysis of Cable-stayed bridges by fuzzy finite element modelling",
    Unpublished Ph.D. thesis, Osmania University, India
    [ Download ]

  40. A. AYDEMIR, D. GUNAY, The Fuzzy Finite Element Stress Analysis of Adhesive-Bonded Single Lap Joints.
    Turkish J. Eng. Env. Sci. 28 (2004) , 121-127.
    [ Download ]

  41. Götz Alefeld, Uwe Schäfer: Iterative Methods for Linear Complementarity Problems with Interval Data. Computing 70(3): 235-259 (2003)

  42. Götz Alefeld, Günter Mayer: On Singular Interval Systems. Numerical Software with Result Verification 2003: 191-197

  43. M. Janssen, P. Van Hentenryck, and Y. Deville.
    A Constraint Satisfaction Approach for Enclosing Solutions
    to Parametric Ordinary Differential Equations.
    SIAM Journal on Numerical Analysis, 40(5): 1896-1939, 2002.
    [ Download ]

  44. Eldon R. Hansen, G. William Walster: Sharp Bounds on Interval Polynomial Roots. Reliable Computing 8(2): 115-122 (2002)

  45. D. Moens and D. Vandepitte. Fuzzy finite element method for frequency response function analysis of uncertain structures.
    AIAA Journal, 40(1):126-136, 2002.

  46. D. Moens. A Non-Probabilistic Finite Element Approach for Structural Dynamic Analysis with Uncertain Parameters, PhD thesis. K.U.Leuven, Leuven, 2002.
    [ Download ]

  47. G. William Walster, Eldon R. Hansen: Computing Interval Parameter Bounds from Fallible Measurements Using Overdetermined (Tall) Systems of Nonlinear Equations. COCOS 2002: 171-177

  48. Götz Alefeld, Vladik Kreinovich, Günter Mayer, Michael Huth: A Comment on the Shape of the Solution Set for Systems of Interval Linear Equations with Dependent Coefficients. Reliable Computing 7(3): 275-277 (2001)

  49. Götz Alefeld, Vladik Kreinovich, Günter Mayer: Modifications of the Oettli-Prager Theorem with Application to the Eigenvalue Problem. Symbolic Algebraic Methods and Verification Methods 2001: 11-20

  50. McWilliam, Stewart, 2001
    Anti-optimisation of uncertain structures using interval analysis
    Computers and Structures Volume: 79, Issue: 4, February, 2001, pp. 421-430
    [ Download(ICM) ] [ Download(Science Direct) ]

  51. Muhanna in the paper Muhanna R.L., Mullen R.L., Uncertainty in Mechanics Problems - Interval - Based Approach. Journal of Engineering Mechanics, Vol.127, No.6, 2001, 557-556 [ Download ]

  52. E.Popova, On the Solution of Parametrised Linear Systems. W. Kraemer, J. Wolff von Gudenberg (Eds.): Scientific Computing,Validated Numerics, Interval Methods. Kluwer Acad. Publishers, 2001, pp. 127-138.

  53. Qiu, Zhiping; Müller, Peter C.; Frommer, Andreas, 2001
    Ellipsoidal set-theoretic approach for stability of linear state-space models with interval uncertainty
    Mathematics and Computers in Simulation Volume: 57, Issue: 1-2, August 15, 2001, pp. 45-59
    [ Download(ICM) ] [ Download ]

  54. G. Alefeld, V. Kreinovich, G. Mayer, Modifications of the Oettli-Prager Theorem with Application to the Eigenvalue Problem, 2000. [ Download ]

  55. Akpan U.O., Koko T.S., Orisamolu I.R., Gallant B.K., Practical fuzzy finite element analysis of structures,
    Finite Elements in Analysis and Design, 38 (2000) 93-111 [ Download ]

  56. Elishakoff I., 2000, Possible limitations of probabilistic methods in engineering. Applied Mechanics Reviews, Vol.53, No.2, s.19-25

  57. Floudas Ch.A., 2000, Deterministic Global Optimization. Theory, Methods and Applications. Kluwer Academic Publisher, London

  58. Ganzerli S., Pantelides Ch.P., 2000, Optimum structural design via convex model superposition. Computers and Structures, Vol. 74, s.639-647

  59. Eldon R. Hansen: The Hull of Preconditioned Interval Linear Equations. Reliable Computing 6(2): 95-103 (2000)

  60. Jaulin L., 2000, Interval constraint propagation with application to bounded-error estimation. Automatica, Vol.36, No.10, s.1547-1552

  61. McWilliam S., Anti-optimization of uncertain structures using interval analysis, Computers and Structures, 79 (2000) 421-430

  62. Möller B., Graf W., Beer M., 2000, Fuzzy structural analysis using a-level optimization. Computational Mechanics, Vol.26, s.547-565

  63. Pownuk A., 2000, Applications of sensitivity analysis for modelling of structures with uncertain parameters. International Conference on Interval Methods in Science and Engineering Interval'2000, Karlsruhe, Germany, s.116

  64. Pownuk A., 2000, Calculation of reliability of structures by using interval probability. Proc. AI-MECH 2000. Symposium on Methods of Artificial Intelligence in Mechanics and Mechanical Engineering, Gliwice, s.273-276

  65. Pownuk A., 2000, Calculation of reliability of structures using fuzzy sets theory. The 32nd Symposium on Mathematical Physics with special session "Symmetries in Nonlinear Systems", June 6-10, 2000, Toruñ (referat wyg³oszony na konferencji)

  66. Pownuk A., 2000, Calculation of displacement in elastic and elastic-plastic structures with interval parameters. 33 rd SOLID MECHANICS CONFERENCE (SolMech2000), Zakopane, s.135

  67. Noor, Ahmed K.; Starnes Jr, James H.; Peters, Jeanne M., Uncertainty analysis of composite structures Computer Methods in Applied Mechanics and Engineering Volume: 185, Issue: 2-4, May 12, 2000, pp. 413-432

  68. Abdel-Tawab K., Noor A.K., 1999, Uncertainty analysis of welding residual stress fields.
    Computer methods in applied mechanics and engineering, Vol.179, s.327-344 [ Download ]

  69. Ben-Haim Y., 1999, Design certification with information-gap uncertainty. Structural Safety, Vol.21, s.269-289 [ Download ]

  70. Fritz F.M., 1999, Development of a finite element analysis program based on interval arithmetic. Praca dyplomowa, Markuette University, USA

  71. Ganzerli S., Pantelides C.P., 1999, Load and resistance convex models for optimum design. Structural Optimization, Vol.17, s.259-268

  72. Ma M., Friedman M., Kandel A., 1999, Numerical solution of fuzzy differential equations. Fuzzy Sets and Systems, Vol.105, s.133-138

  73. Mullen R.L., Muhanna L., 1999, Bounds of Structural Response for all Possible Loading Combinations. Journal of Structural Engineering, Vol.125, No.1, s.98-106 [ Download ]

  74. Nakagiri S., Suzuki K., 1999, Finite element interval analysis of external loads identified by displacement input with uncertainty. Computer methods in applied mechanics and engineering, Vol.168, s.63-72

  75. Pownuk A., 1999, Applications of Regular Interval Jacobian Matrices to Calculation Extreme Values of Mechanical Quantities. Reliable Computations and Interval Algebra, Bulgaria, Sozopol, s.18

  76. Shieh Ch.S., Tsai J.S.H., Sun Y.Y., 1999, Digital modelling and hybrid control of sampled-data uncertain system with input time delay using the low of mean. Applied Mathematical Modelling, Vol.23, No.1 , s.131-152

  77. Ayyub B.M., 1998, Uncertainty Modelling and Analysis in Civil Engineering. CRC Press, New York

  78. Barberi E., Lombardi M., 1998, Minimum weight shape and size optimization of truss structures made of uncertain materials. Structural Optimization, Vol.16, s.147-154 [ Download ]

  79. Ben-Haim Y., Laufer A., 1998, Robust Reliability of Projects with Activity-Duration Uncertainty. Journal on Construction Engineering and Management, Vol.124, No.2, s.125-132 [ Download ]

  80. Zhiping Qiu and Isaac Elishakoff, Antioptimization of structures with large uncertain-but-non-random parameters
    via interval analysis Computer Methods in Applied Mechanics and Engineering,
    Volume 152, Issues 3-4, 24 January 1998, Pages 361-372 [ Download ]

  81. Elishakoff I., 1998, Three versions of the finite element method based on concepts of either stochasticity, fuzziness or anti-optimization. Applied Mechanics Review, Vol.51, No.3, s.209-218

  82. Ferrari P., Savoia M., 1998, Fuzzy number theory to obtain conservative results with respect to probability. Computer methods in applied mechanics and engineering, Vol.160, s.205-222

  83. Gau, Ch.-Y. Stadtherr M.A., 1998, Global Nonlinear Parameter Estimation Using Interval Analysis Parallel Computing Strategies. Department of Chemical Engineering University of Notre Dam

  84. Günter Mayer, Jiri Rohn: On the Applicability of the Interval Gaussian Algorithm. Reliable Computing 4(3): 205-222 (1998)

  85. Kay, Herbert, 1998
    SQSIM: a simulator for imprecise ODE models
    Computers & Chemical Engineering Volume: 23, Issue: 1, November 15, 1998, pp. 27-46
    [ Download(ICM) ] [ Download ]

  86. Kulpa Z., Pownuk A., Skalna I., 1998, Analysis of linear mechanical structures with uncertainties by means of interval methods, CAMES, Vol.5, No.4, s.443-477

  87. Köylüoglu, H. Ugur; et. al., 1998
    A comparison of stochastic and interval finite elements applied to shear frames with uncertain stiffness properties
    Computers & Structures Volume: 67, Issue: 1-3, April 1, 1998, pp. 91-98
    [ Download(ICM) ] [ Download ]

  88. Hu Ch.-F., Fang S.-Ch., 1998, Solving fuzzy inequalities with concave membership functions. Fuzzy Sets and Systems, Vol.99, s.233-240

  89. Kaleva O., 1998, The Peano theorem for fuzzy differential equations revisited. Fuzzy Sets and Systems, Vol.98, s.147-148

  90. Köylüoglu H.U., Elischakoff I., 1998, A comparison of stochastic and interval finite elements applied to shear frames with uncertain stiffness properties. Computers and Structures, Vol.67, No.1/3, s.91-98

  91. Rao S.S., Asaithambi A., Agrawal S.K., 1998, Inverse Kinematics Solution of Robot Manipulators Using Interval Analysis. Journal of Mechanical Design, Vol.120, s.147-153

  92. Rao S.S., Chen L., 1998, Numerical solution of fuzzy linear equations in engineering analysis, International Journal for Numerical Methods in Engineering, Vol.42, s.829-846

  93. Rao S.S., Chen L., Mulkay E., 1998, Unified Finite Element Method for Engineering Systems with Hybrid Uncertainties, AIAA Journal, Vol.36, No.7, s.1291-1299

  94. Sanchez L., 1998, A random sets-based method for identifying fuzzy models. Fuzzy Sets and System, Vol.98, s.343-354

  95. Sarveswaran V., Smith J.W., Blockley D.I., 1998, Reliability of corrosion-damaged steel structures using interval probability theory. Structural Safety, Vol.20, s.237-255

  96. Skrzypczyk J., 1998, A Note on Interval Fredholm Integral Equations. Zeszyty Naukowe Politechniki Œl¹skiej, Seria Budownictwo, Z.85, s.75-83

  97. Skrzypczyk J., 1998, On Existence of Solutions of Interval Fredholm Integral Equations with Degenerate Kernels. Zeszyty Naukowe Politechniki Œl¹skiej, Seria Budownictwo, Z.85, s.85-94

  98. Tonon F., Bernardini A., 1998, A random set approach to the optimization of uncertain structures. Computers and Structures, Vol.68, s.583-600

  99. Yoshikawa N., Elischakoff I., Nakagiri S., 1998, Worst case estimation of homology design by convex analysis. Computers and Structures, Vol.67, No.1/3, s.191-196

  100. Yue Z.Z., Qiao G.W., 1998, Solving process for a system of first-order fuzzy differential equations. Fuzzy Sets and Systems, Vol.95, s.333-347

  101. Burczynski T., Skrzypczyk J., 1997, Fuzzy aspects of the boundary element method, Engineering Analysis with Boundary Elements, Vol.19, No.3, s.209-216 [ Download ]

  102. Chen L., Rao S.S., 1997, Fuzzy finite-element approach for the vibration analysis of imprecisly-defined systems. Finite Element in Analysis and Design, Vol.27, s.69-83 [ Download ]

  103. Enling L., 1997, A New Solution to Structural Fuzzy Finite Element Equilibrium Equations. Applied Mathematics and Mechanics, Vol.18, No.4, s.385-391

  104. Eldon R. Hansen: Sharpness in Interval Computations. Reliable Computing 3(1): 17-29 (1997)

  105. Maglaras G., Nikolaidids E., Haftka R.T., Cudney H.H., 1997, Analytical-experimental comparison of probabilistic methods and fuzzy set based methods for designing under uncertainty. Structural Optimization, Vol.13, s.69-80

  106. Rao S.S., Berke L., 1997, Analysis of Uncertain Structural Systems Using Interval Analysis, AIAA Journal, Vol.35, No. 4, s.727-735

  107. Jiri Rohn: On Overestimations Produced by the Interval Gaussian Algorithm. Reliable Computing 3(4): 363-368 (1997)

  108. Skrzypczyk J., 1997, Fuzzy finite element methods – A new methodology. In: Computer Methods in Mechanics (Proc. XIII Polish Conference on Computer Methods in Mechanics, Poznañ, Poland, May 5-8, 1995), Vol. 4. s.1187-1194. Poznañ University of Technology, Poznañ

  109. Benedetti A. Guglielmi N., 1996, Tracing Characteristic of Smooth Nonlinear Resistive Circuits by Interval Analysis. http://cs.utep.edu/interval-comp/papers.html

  110. Pantelides C.P., 1996, Stability of elastic bars on uncertain foundations using a convex model. International Journal of Solids and Structures, Vol.33, No.9, s.1257-1269

  111. Walley P., Cooman G., 1996, The imprecise probabilities project, http://ippserv.rug.ac.be

  112. Zhiping, Qiu; Suhuan, Chen; Elishakoff, Isaac, 1996
    Bounds of Eigenvalues for Structures with an Interval Description of Uncertain-but-non-random Parameters
    Chaos, Solitons & Fractals Volume: 7, Issue: 3, March, 1996, pp. 425-434
    [ Download(ICM) ] [ Download ]

  113. Zhiping, Qiu; Elishakoff, Isaac; Starnes Jr, James H., 1996
    The Bound Set of Possible Eigenvalues of Structures with Uncertain But Non-random Parameters
    Chaos, Solitons & Fractals Volume: 7, Issue: 11, November, 1996, pp. 1845-1857
    [ Download(ICM) ] [ Download ]

  114. Balaji G.V., Seader J.D., 1995, Application of interval Newton's method to chemical engineering problems. Reliable Computing, Vol.1, No.3, s.215-223 [ Download ]

  115. Dimarogonas A.D., 1995, Interval Analysis of Vibrating Systems, Journal of Sound and Vibration, Vol.183, s.739-749

  116. Dobronets B.S., 1995, Numerical methods using defects, Reliable Computing, Vol.1, No.4, s.383-391

  117. Elishakoff I., 1995, Essay on uncertainties in elastic and viscoelastic structures: from A.M.Freudenthal's criticisms to modern convex modelling. Computers and Structures, Vol.56, No.6, s.871-895

  118. Köylüoglu H.U., Cakmak A., Nielsen S.R.K., 1995, Interval mapping in structural mechanics. In: Spanos, ed. Computational Stochastic Mechanics. 125-133. Balkema, Rotterdam

  119. Onisawa T., Kacprzyk J., 1995, Reliability and Safety Analyses under Fuzziness. Physica-Verlag, Heidelberg

  120. Qiu, Zhiping; Chen, Suhuan; Jia, Hongbo, 1995
    The rayleigh quotient iteration method for computing eigenvalue bounds of structures with bounded uncertain parameters
    Computers & Structures Volume: 55, Issue: 2, April, 1995, pp. 221-227
    [ Download(ICM) ] [ Download ]

  121. Rao S.S., Sawyer J.P., 1995, Fuzzy Finite Element Approach for the Analysis of Imprecisly Defined Systems. AIAA Journal, Vol.33, No.12, s.2364-2370

  122. Saint-Pierre P., 1995, Newton and Other Continuation Methods for Multivalued Inclusions. Set-Valued Analysis, Vol.3, s.143-156 [ Download ]

  123. Shary, Sergey P., 1995
    Solving the linear interval tolerance problem
    Mathematics and Computers in Simulation Volume: 39, Issue: 1-2, November 8, 1995, pp. 53-85
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  124. Valliappan S. Pham T.D., 1995, Elasto-Plastic Finite Element Analysis with Fuzzy Parameters. International Journal for Numerical Methods in Engineering, 38, s.531-548

  125. Boese F.G., 1994, Stability of a Special Class of Retarded Difference-Differential Equations with Interval-Valued Parameters. Journal of Mathematical Analysis and Applications, Vol.181, s.227-247 [ Download ]

  126. Elishakoff I., Elisseeff P., Glegg A.L., 1994, Nonprobablistic, Convex-Theoretic Modelling of Scatter in Material Properties, AIAA Journal, Vol.32, No.4, s.843-849

  127. Elishakoff I., Li Y.W., Starnes J.H., 1994, A deterministic method to predict the effect of unknown-but-bounded elastic moduli on the buckling of composite structures. Computer methods in applied mechanics and engineering, Vol.111, s.155-167

  128. Gutman P., Baril C., Neumann L., 1994, An Algorithm for Computing Value Sets of Uncertain Transfer Functions in Factored Real Form, IEEE Transactions on Automatic Controll, Vol.39, No.6, s.1268-1273

  129. Rump S.M., 1994, Verification methods for dense and sparse systems of equations. J. Herzberger, ed., Topics in Validated Computations. Elsevier Science B.V., s.63-135

  130. Cheng C.H., Mon D.L., 1993, Fuzzy system reliability analysis by interval of confidence. Fuzzy Sets and Systems, 56, s.29-35. [ Download ]

  131. Elishakoff I., Colombi P., 1993, Combination of probabilistic and convex models of uncertainty when scare knowledge is present on acoustic excitation parameters. Computer methods in applied mechanics and engineering, Vol.104, s.187-209

  132. Kristinsdottir B.P., Zabinsky Z.B., Csendes T., Tuttle M.E., 1993, Methodologies for Tolerance Intervals. Interval Computations, No.3, s.133-147

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  134. Valliappan S., Pham T.D., 1993, Fuzzy Finite Element Analysis of A Foundation on Elastic Soil Medium. International Journal for Numerical and Analytical Methods in Geomechanics, Vol.17, s.771-789

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  136. Global Optimization Using Interval Analysis, by Elden R. Hansen, Marcel Dekker, New York, 1992, ISBN 0824786963.

  137. Hyvönen E., 1992, Constraint reasoning based on interval arithmetic: the tolerance propagation approach. Artificial Intelligence, Vol.58, s.71-112

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