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Volumn 7, Issue 2, 2000, Pages 67-290

The Time Dimension: A Theory Towards the Evolution, Classification, Characterization and Design of Computational Algorithms for Transient/ Dynamic Applications

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EID: 0034415912     PISSN: 11343060     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02736209     Document Type: Article
Times cited : (134)

References (136)
  • 5
    • 0348234348 scopus 로고
    • Complementary Forms of the Variational Principle for Heat Conduction and Convection
    • Biot, M. A. (1967), "Complementary Forms of the Variational Principle for Heat Conduction and Convection", Journal of Franklin Institute, 283, 372.
    • (1967) Journal of Franklin Institute , vol.283 , pp. 372
    • Biot, M.A.1
  • 7
    • 0027676774 scopus 로고
    • New Virtual-Pulse Time Integral Methodology for Linear Transient Heat Transfer Problem
    • Chen, X., Tamma, K. K. and Sha, D. (1993), "New Virtual-Pulse Time Integral Methodology for Linear Transient Heat Transfer Problem", Numerical Heat Transfer B, 24, 301.
    • (1993) Numerical Heat Transfer B , vol.24 , pp. 301
    • Chen, X.1    Tamma, K.K.2    Sha, D.3
  • 8
    • 0000097233 scopus 로고
    • Virtual-Pulse Time Integral Methodology: A New Approach for Computational Dynamics. Part 2: Theory for Nonlinear Structural Dynamics
    • Chen, X., Tamma, K. K. and Sha, D. (1995), "Virtual-Pulse Time Integral Methodology: A New Approach for Computational Dynamics. Part 2: Theory for Nonlinear Structural Dynamics", Finite Elements in Analysis and Design, 20, 195.
    • (1995) Finite Elements in Analysis and Design , vol.20 , pp. 195
    • Chen, X.1    Tamma, K.K.2    Sha, D.3
  • 9
    • 0027610910 scopus 로고
    • A Time Integration Method for Structural Dynamics with Improved Numerical Dissipation: The Generalized α-Method
    • Chung and Hulbert (1993), "A Time Integration Method for Structural Dynamics With Improved Numerical Dissipation: The Generalized α-Method", Journal of Applied Mechanics, 30 (371).
    • (1993) Journal of Applied Mechanics , vol.30 , Issue.371
    • Chung1    Hulbert2
  • 10
    • 0026139073 scopus 로고
    • A Modal Superposition Pseudo-Force Method for Dynamic Analysis of Structural Systems with Non-Proportional Damping
    • Claret, A. and Venacio-Filho, F. (1991), "A Modal Superposition Pseudo-Force Method for Dynamic Analysis of Structural Systems with Non-Proportional Damping", Earthquake Engineering and Structural Dynamics, 20, 303.
    • (1991) Earthquake Engineering and Structural Dynamics , vol.20 , pp. 303
    • Claret, A.1    Venacio-Filho, F.2
  • 11
    • 84953600891 scopus 로고
    • A Practical Method for the Numerical Evaluation of Solutions of Partial Differential Equations of the Heat Conduction Type
    • Crank, J. and Nicolson, P. (1947), "A Practical Method for the Numerical Evaluation of Solutions of Partial Differential Equations of the Heat Conduction Type", Proc. Cambridge Phil. Soc., 43, 50.
    • (1947) Proc. Cambridge Phil. Soc. , vol.43 , pp. 50
    • Crank, J.1    Nicolson, P.2
  • 12
    • 0016921236 scopus 로고
    • Approximation for Determining Harmonically Excited Response of Non-classically Damped Systems
    • Cronin, D. (1976), "Approximation for Determining Harmonically Excited Response of Non-classically Damped Systems", Journal of Engineering for Industry, 98, 43.
    • (1976) Journal of Engineering for Industry , vol.98 , pp. 43
    • Cronin, D.1
  • 13
    • 11044230975 scopus 로고
    • A Special Stability Problem for Linear Multistep Methods
    • Dahlquist, G. (1963), "A Special Stability Problem for Linear Multistep Methods", BIT, 3, 27.
    • (1963) BIT , vol.3 , pp. 27
    • Dahlquist, G.1
  • 17
    • 84968484318 scopus 로고
    • Stability Conditions in the Numerical Treatment of Parabolic Differential Equations
    • DuFort, E. C. and Frankel, S. P. (1953), "Stability Conditions in the Numerical Treatment of Parabolic Differential Equations", Mathematical Tables and Other Aids to Computation, 7, 135.
    • (1953) Mathematical Tables and Other Aids to Computation , vol.7 , pp. 135
    • DuFort, E.C.1    Frankel, S.P.2
  • 18
    • 0016047479 scopus 로고
    • Three-Level Galerkin Methods for Parabolic Equations
    • Dupont, T., Fairweather, G. and Johnson, P. (1974), "Three-Level Galerkin Methods for Parabolic Equations", SIAMJ, 11, 392.
    • (1974) SIAMJ , vol.11 , pp. 392
    • Dupont, T.1    Fairweather, G.2    Johnson, P.3
  • 19
    • 0009136251 scopus 로고
    • De Integratione Aequationum Differentialium Per Appriximationem
    • Euler, L. (1913), "De Integratione Aequationum Differentialium Per Appriximationem", Opera Omnia, 11, 424.
    • (1913) Opera Omnia , vol.11 , pp. 424
    • Euler, L.1
  • 20
    • 0016494641 scopus 로고
    • A Finite-Amplitude Analysis of Shocks and Finite-Amplitude Waves in One-Dimensional Hyperbolic Bodies at Finite Strain
    • Jr., L.C. W.
    • Fost, R. B., Oden, J. T. and Jr., L.C. W. (1975), "A Finite-Amplitude Analysis of Shocks and Finite-Amplitude Waves in One-Dimensional Hyperbolic Bodies at Finite Strain", International J. Solids and Structures, 11, 377.
    • (1975) International J. Solids and Structures , vol.11 , pp. 377
    • Fost, R.B.1    Oden, J.T.2
  • 21
    • 85007700819 scopus 로고
    • Finite Element Analysis of Time-Dependent Phenomena
    • Fried, I. (1969), "Finite Element Analysis of Time-Dependent Phenomena", AIAA J, 7, 1170.
    • (1969) AIAA J , vol.7 , pp. 1170
    • Fried, I.1
  • 22
    • 0012724176 scopus 로고
    • A Method for the Numerical Integration of Equations of Motion Arising from a Finite Element Analysis
    • Fu, C. C. (1970), "A Method for the Numerical Integration of Equations of Motion Arising From a Finite Element Analysis", Journal of Applied Mechanics, 39, 559.
    • (1970) Journal of Applied Mechanics , vol.39 , pp. 559
    • Fu, C.C.1
  • 23
    • 0031367470 scopus 로고    scopus 로고
    • A Precise Time-Step Integration Method by Step-Response and Impulsive-Response Matrices for Dynamic Problems
    • Fung, T. C. (1997a), "A Precise Time-Step Integration Method by Step-Response and Impulsive-Response Matrices for Dynamic Problems", International Journal for Numerical Methods in Engineering, 40, 4501.
    • (1997) International Journal for Numerical Methods in Engineering , vol.40 , pp. 4501
    • Fung, T.C.1
  • 24
    • 0031121036 scopus 로고    scopus 로고
    • Third-Order Time-Step Integration Methods with Controllable Numerical Dissipation
    • Fung, T. C. (1997b), "Third-Order Time-Step Integration Methods with Controllable Numerical Dissipation", Communications in Numerical Methods in Engineering, 13, 307.
    • (1997) Communications in Numerical Methods in Engineering , vol.13 , pp. 307
    • Fung, T.C.1
  • 25
  • 27
    • 0001521109 scopus 로고    scopus 로고
    • Weighted Parameters for Unconditionally Stable Higher-Order Accurate Time Step Integration Algorithms. Part 1 - First-Order Equations
    • Fung, T. C. (1999b), "Weighted Parameters for Unconditionally Stable Higher-Order Accurate Time Step Integration Algorithms. Part 1 - First-Order Equations", International Journal for Numerical Methods in Engineering, 45, 941.
    • (1999) International Journal for Numerical Methods in Engineering , vol.45 , pp. 941
    • Fung, T.C.1
  • 28
    • 0001521105 scopus 로고    scopus 로고
    • Weighted Parameters for Unconditionally Stable Higher-Order Accurate Time Step Integration Algorithms. Part 2 - Second-Order Equations
    • Fung, T. C. (1999c), "Weighted Parameters for Unconditionally Stable Higher-Order Accurate Time Step Integration Algorithms. Part 2 - Second-Order Equations", International Journal for Numerical Methods in Engineering, 45, 971.
    • (1999) International Journal for Numerical Methods in Engineering , vol.45 , pp. 971
    • Fung, T.C.1
  • 29
    • 0000854076 scopus 로고
    • The Automatic Integration of Stiff Ordinary Differential Equations
    • Morrell, A. J. H., editor, North Holland, Dordrecht
    • Gear, C. W. (1969), "The Automatic Integration of Stiff Ordinary Differential Equations", In Morrell, A. J. H., editor, Information Processing, Volume 68, page 187, North Holland, Dordrecht.
    • (1969) Information Processing , vol.68 , pp. 187
    • Gear, C.W.1
  • 30
    • 0001459938 scopus 로고
    • A New Algorithm for Integration of Dynamic System
    • Gellert, M. (1978), "A New Algorithm for Integration of Dynamic System", Comput. Struct., 9, 401-408.
    • (1978) Comput. Struct. , vol.9 , pp. 401-408
    • Gellert, M.1
  • 31
    • 0032071946 scopus 로고    scopus 로고
    • A Weighted Residual Development of a Time-Stepping Algorithm for Structural Dynamics Using Two General Weighted Functions
    • Golley, B. W. (1998), "A Weighted Residual Development of a Time-Stepping Algorithm for Structural Dynamics Using Two General Weighted Functions", International Journal for Numerical Methods in Engineering, 42, 93.
    • (1998) International Journal for Numerical Methods in Engineering , vol.42 , pp. 93
    • Golley, B.W.1
  • 32
    • 0001377591 scopus 로고
    • Variational Principles for Linear Initial-Value Problems
    • Gurtin, M. (1964), "Variational Principles for Linear Initial-Value Problems", Q. Appl. Math, 22, 252.
    • (1964) Q. Appl. Math , vol.22 , pp. 252
    • Gurtin, M.1
  • 34
    • 0023400996 scopus 로고
    • Integral Solution of Diffusion Equation:Part 2-Boundary Conditions of Second and Third Kinds
    • Haji-Sheikh, A. and Lakshminarayanan, R. (1987), "Integral Solution of Diffusion Equation:Part 2-Boundary Conditions of Second and Third Kinds", Journal of Heat Transfer, 109, 557.
    • (1987) Journal of Heat Transfer , vol.109 , pp. 557
    • Haji-Sheikh, A.1    Lakshminarayanan, R.2
  • 35
    • 0023400697 scopus 로고
    • Integral Solution of Diffusion Equation:Part 1-General Solution
    • Haji-Sheikh, A. and Mashena, M. (1987), "Integral Solution of Diffusion Equation:Part 1-General Solution", Journal of Heat Transfer, 109, 551.
    • (1987) Journal of Heat Transfer , vol.109 , pp. 551
    • Haji-Sheikh, A.1    Mashena, M.2
  • 36
    • 84952130600 scopus 로고
    • Collocation, Dissipation and 'Overshoot' for Time Integration Schemes in Structural Dynamics
    • Hilber, H. M. and Hughes, T. J. R. (1978), "Collocation, Dissipation and 'Overshoot' for Time Integration Schemes in Structural Dynamics", Earthquake Engineering and Structural Dynamics, 6, 99.
    • (1978) Earthquake Engineering and Structural Dynamics , vol.6 , pp. 99
    • Hilber, H.M.1    Hughes, T.J.R.2
  • 40
    • 0023997841 scopus 로고
    • Development of an Implicit Method with Numerical Dissipation from a Generalized Single Step Algorithm for Structural Dynamics
    • Hoff, C. and Pahl, P. J. (1988a), "Development of an Implicit Method with Numerical Dissipation from a Generalized Single Step Algorithm for Structural Dynamics", Computer Methods Appl. Mech. Eng., 67, 367.
    • (1988) Computer Methods Appl. Mech. Eng. , vol.67 , pp. 367
    • Hoff, C.1    Pahl, P.J.2
  • 41
    • 0023978121 scopus 로고
    • Practical Performance of the Θ-Method and Comparison with Other Dissipative Algorithms in Structural Dynamics
    • Hoff, C. and Pahl, P. J. (1988b), "Practical Performance of the Θ-Method and Comparison with Other Dissipative Algorithms in Structural Dynamics", Computer Methods Applied Mechanics and Engineering, 67, 87.
    • (1988) Computer Methods Applied Mechanics and Engineering , vol.67 , pp. 87
    • Hoff, C.1    Pahl, P.J.2
  • 42
    • 0025385069 scopus 로고
    • Higher Derivative Explicit One Step Methods for Non-Linear Dynamic Problems. Part I: Design and Theory
    • Hoff, C. and Taylor, R. L. (1990a), "Higher Derivative Explicit One Step Methods for Non-Linear Dynamic Problems. Part I: Design and Theory", International Journal for Numerical Methods in Engineering, 29, 275.
    • (1990) International Journal for Numerical Methods in Engineering , vol.29 , pp. 275
    • Hoff, C.1    Taylor, R.L.2
  • 43
    • 0025383156 scopus 로고
    • Higher Derivative Explicit One Step Methods for Non-Linear Dynamic Problems. Part II: Practical Calculations and Comparisons with Other Higher Methods
    • Hoff, C. and Taylor, R. L. (1990b), "Higher Derivative Explicit One Step Methods for Non-Linear Dynamic Problems. Part II: Practical Calculations and Comparisons With Other Higher Methods", International Journal for Numerical Methods in Engineering, 29, 291.
    • (1990) International Journal for Numerical Methods in Engineering , vol.29 , pp. 291
    • Hoff, C.1    Taylor, R.L.2
  • 44
    • 0043188154 scopus 로고
    • Integration Operators for First Order Linear Matrix Differential Equations
    • Hogge, M. A. (1976), "Integration Operators for First Order Linear Matrix Differential Equations", Computer Methods in Applied Mechanics and Engineering, 11, 281.
    • (1976) Computer Methods in Applied Mechanics and Engineering , vol.11 , pp. 281
    • Hogge, M.A.1
  • 45
    • 0000263374 scopus 로고
    • A Recurrence Matrix Solution for the Dynamic Response of Elastic Aircraft
    • Houbolt, J. C. (1950), "A Recurrence Matrix Solution for the Dynamic Response of Elastic Aircraft", J. Aero. Science, 17, 540.
    • (1950) J. Aero. Science , vol.17 , pp. 540
    • Houbolt, J.C.1
  • 47
    • 0020949934 scopus 로고
    • A Precis of Developments in Computational Methods for Transient Analysis
    • Hughes, T.J. R. and Belytschko, T. (1983), "A Precis of Developments in Computational Methods for Transient Analysis", Journal of Applied Mechanics, 50, 1033.
    • (1983) Journal of Applied Mechanics , vol.50 , pp. 1033
    • Hughes, T.J.R.1    Belytschko, T.2
  • 48
    • 0028384753 scopus 로고
    • A Unified Set of Single-Step Asymptotic Annihilation Algorithms for Structural Dynamics
    • Hulbert, G. M. (1994), "A Unified Set of Single-Step Asymptotic Annihilation Algorithms for Structural Dynamics", Comput. Methods Appl. Mech. Engrg., 113, 1-9.
    • (1994) Comput. Methods Appl. Mech. Engrg. , vol.113 , pp. 1-9
    • Hulbert, G.M.1
  • 49
    • 0030259068 scopus 로고    scopus 로고
    • Explicit Time Integration Algorithms for Structural Dynamics with Optiomal Numerical Dissipation
    • Hulbert, G. M. and Chung, J. (1996), "Explicit Time Integration Algorithms for Structural Dynamics with Optiomal Numerical Dissipation", Comput. Methods Appl. Mech. Engrg, 137, 175.
    • (1996) Comput. Methods Appl. Mech. Engrg , vol.137 , pp. 175
    • Hulbert, G.M.1    Chung, J.2
  • 50
    • 0023434424 scopus 로고
    • An Error Analysis of Truncated Starting Conditions in Step-by-Step Time Integration: Consequences for Structural Dynamics
    • Hulbert, G. M. and Hughes, T. J. R. (1987), "An Error Analysis of Truncated Starting Conditions in Step-by-Step Time Integration: Consequences for Structural Dynamics", Earthquake Eng. and Struct. Dynamics, 15, 901.
    • (1987) Earthquake Eng. and Struct. Dynamics , vol.15 , pp. 901
    • Hulbert, G.M.1    Hughes, T.J.R.2
  • 51
    • 0029370545 scopus 로고
    • Automatic Time Step Control Algorithms for Structural Dynamics
    • Hulbert, G. M. and Jang, I. (1995), "Automatic Time Step Control Algorithms for Structural Dynamics", Comput. Methods Appl. Mech. Engrg., 126, 155.
    • (1995) Comput. Methods Appl. Mech. Engrg. , vol.126 , pp. 155
    • Hulbert, G.M.1    Jang, I.2
  • 52
    • 0004258104 scopus 로고
    • Prentice-Hall, Englewood Cliffs, New Jersey
    • Humar, J. L. (1990), Dynamics of Structures. Prentice-Hall, Englewood Cliffs, New Jersey.
    • (1990) Dynamics of Structures
    • Humar, J.L.1
  • 53
    • 0015648613 scopus 로고
    • Damped Vibration Mode Superposition Method for Dynamic Response Analysis
    • Itoh, T. (1973), "Damped Vibration Mode Superposition Method for Dynamic Response Analysis", Earthquake Engineering and Structural Dynamics, 2, 47.
    • (1973) Earthquake Engineering and Structural Dynamics , vol.2 , pp. 47
    • Itoh, T.1
  • 54
    • 0015638015 scopus 로고
    • Unconditional Stability of Numerical Time Integration Methods
    • Krieg, R. D. (1973), "Unconditional Stability of Numerical Time Integration Methods", Journal of Applied Mechanics, 40, 417.
    • (1973) Journal of Applied Mechanics , vol.40 , pp. 417
    • Krieg, R.D.1
  • 55
    • 0021727770 scopus 로고
    • A Family of Higher-Order Explicit Algorithms for the Transient Dynamic Analysis
    • Kujawski, J. and Gallagher, R. H. (1984), "A Family of Higher-Order Explicit Algorithms for the Transient Dynamic Analysis", Trans. Soc. Comp. Simulation, 1, 155.
    • (1984) Trans. Soc. Comp. Simulation , vol.1 , pp. 155
    • Kujawski, J.1    Gallagher, R.H.2
  • 56
    • 0022442943 scopus 로고
    • Addendum to Eigenvalue Method for Solving Transient Heat Conduction Problems
    • Landry, D. W. and Kaplan, B. (1986), "Addendum to Eigenvalue Method for Solving Transient Heat Conduction Problems", Numerical Heat Transfer, 9, 247.
    • (1986) Numerical Heat Transfer , vol.9 , pp. 247
    • Landry, D.W.1    Kaplan, B.2
  • 57
    • 84980086431 scopus 로고
    • Difference Schemes for Hyperbolic Equations with High Order Accuracy
    • Lax, P. D. and Wendroff, B. (1964), "Difference Schemes for Hyperbolic Equations with High Order Accuracy", Comm. Pure Appl. Math., 17, 381.
    • (1964) Comm. Pure Appl. Math. , vol.17 , pp. 381
    • Lax, P.D.1    Wendroff, B.2
  • 58
    • 84968520057 scopus 로고
    • A Linear Three-Level Differences Scheme for Quasilinear Parabolic Equations
    • Lees, H. (1966), "A Linear Three-Level Differences Scheme for Quasilinear Parabolic Equations", Mech. Comp., 20, 516.
    • (1966) Mech. Comp. , vol.20 , pp. 516
    • Lees, H.1
  • 59
    • 0347604377 scopus 로고
    • Evaluation and Applicability of Explicit Self-Starting Formulations for Nonlinear Structural Dynamics
    • Li, M., Tamma, K. K. and Namburu, R. R. (1991), "Evaluation and Applicability of Explicit Self-Starting Formulations for Nonlinear Structural Dynamics", AIAA SDM Conference, San Diego, CA, April.
    • (1991) AIAA SDM Conference, San Diego, CA, April
    • Li, M.1    Tamma, K.K.2    Namburu, R.R.3
  • 60
    • 0009134151 scopus 로고
    • Optimization of a Numerical Integration Method for Stiff Systems of Ordinary Differential Equations
    • IBM
    • Liniger, W. (1968), "Optimization of a Numerical Integration Method for Stiff Systems of Ordinary Differential Equations", Research Report RC2198, IBM.
    • (1968) Research Report RC2198
    • Liniger, W.1
  • 61
    • 0348234346 scopus 로고
    • Global Accuracy Stability of One and Two Step Integration Formulae for Stiff Ordinary Differential Equation
    • Liniger, W. (1969), "Global Accuracy Stability of One and Two Step Integration Formulae for Stiff Ordinary Differential Equation", Conf. Numerical Solution of Differential Equations -Dundee Univ.
    • (1969) Conf. Numerical Solution of Differential Equations -Dundee Univ.
    • Liniger, W.1
  • 63
    • 85002486921 scopus 로고
    • On the Generalized VIP Time Integral Methodology for Transient Thermal Problems
    • Orando, FL
    • Mei, Y., Chen, X., Tamma, K. K. and Sha, D. (1993), "On the Generalized VIP Time Integral Methodology for Transient Thermal Problems", In AIAA-93-2771, 28th Thermophysics Conference, Orando, FL.
    • (1993) AIAA-93-2771, 28th Thermophysics Conference
    • Mei, Y.1    Chen, X.2    Tamma, K.K.3    Sha, D.4
  • 64
    • 0028531955 scopus 로고
    • Evaluation and Applicability of a New Explicit Time Integral Methodology for Transient Thermal Problems - Finite Volume Formulations
    • Mei, Y., Mohan, R. V. and Tamma, K. K. (1994), "Evaluation and Applicability of a New Explicit Time Integral Methodology for Transient Thermal Problems - Finite Volume Formulations", Numerical Heat Transfer, 6(3), 313.
    • (1994) Numerical Heat Transfer , vol.6 , Issue.3 , pp. 313
    • Mei, Y.1    Mohan, R.V.2    Tamma, K.K.3
  • 65
    • 0024475957 scopus 로고
    • An Improved Implicit-Explicit Time Integration Method for Sturctural Dynamics
    • Miranda, I., Hulbert, R. M. and Hughes, T.J. R. (1989), "An Improved Implicit-Explicit Time Integration Method for Sturctural Dynamics", Earthquake Engrg. Struct. Dyn., 18, 643.
    • (1989) Earthquake Engrg. Struct. Dyn. , vol.18 , pp. 643
    • Miranda, I.1    Hulbert, R.M.2    Hughes, T.J.R.3
  • 69
    • 0001991298 scopus 로고
    • One-Step Methods of Hermite Type for Numerical Integration of Stiff Systems
    • Nørsett, S. P. (1974), "One-Step Methods of Hermite Type for Numerical Integration of Stiff Systems", BIT, 14, 63.
    • (1974) BIT , vol.14 , pp. 63
    • Nørsett, S.P.1
  • 71
    • 84913403811 scopus 로고
    • Formulation and Application of Certain Primal and Mixed Finite Element Models of Finite Deformation of Elastic Bodies
    • Glowinski, R. and Lions, J. L., editors, Versailles, France
    • Oden, J. T. (1973), "Formulation and Application of Certain Primal and Mixed Finite Element Models of Finite Deformation of Elastic Bodies", In Glowinski, R. and Lions, J. L., editors, International Conference on Computing Methods in Applied Science and Engineering, Part 1, page 334, Versailles, France.
    • (1973) International Conference on Computing Methods in Applied Science and Engineering, Part 1 , pp. 334
    • Oden, J.T.1
  • 72
    • 0041685335 scopus 로고
    • High-Order, Multi-Level, Adaptive Time Domain Methods for Structural Acoustics Simulations
    • Technical report, Univ. of Texas, Austin
    • Oden, J. T., Safjan, A., Geng, P. and Demkowicz, L. (1994), "High-Order, Multi-Level, Adaptive Time Domain Methods for Structural Acoustics Simulations", Technical report, Univ. of Texas, Austin, TICAM Report 94-14.
    • (1994) TICAM Report 94-14
    • Oden, J.T.1    Safjan, A.2    Geng, P.3    Demkowicz, L.4
  • 74
    • 0016522260 scopus 로고
    • An Improved Stiffly Stable Method for Direct Integration of Nonlinear Structural Dynamic Equations
    • Park, K. C. (1975), "An Improved Stiffly Stable Method for Direct Integration of Nonlinear Structural Dynamic Equations", Transactions of the American Society of Mechanical Engineers, 1, 464.
    • (1975) Transactions of the American Society of Mechanical Engineers , vol.1 , pp. 464
    • Park, K.C.1
  • 75
    • 0022158661 scopus 로고
    • Comparison of Some Single-Step Methods for the Numerical Solution of the Structural Dynamic Equation
    • Penry, S. N. and Wood, W. L. (1985), "Comparison of Some Single-Step Methods for the Numerical Solution of the Structural Dynamic Equation", International Journal for Numerical Methods in Engineering, 21, 1941.
    • (1985) International Journal for Numerical Methods in Engineering , vol.21 , pp. 1941
    • Penry, S.N.1    Wood, W.L.2
  • 77
    • 0042186060 scopus 로고
    • h-p Adaptive Finite Element Methods in Transient Acoustics
    • Keltie, R. F., Seybert, A. F., Kang, D. S., Olson, L., and Pinsky, P., editors, number H00178. ASME Reprint
    • Safjan, A. and Oden, J. T. (1991), "h-p Adaptive Finite Element Methods in Transient Acoustics", In Keltie, R. F., Seybert, A. F., Kang, D. S., Olson, L., and Pinsky, P., editors, Structural Acoustics, number H00178. ASME Reprint.
    • (1991) Structural Acoustics
    • Safjan, A.1    Oden, J.T.2
  • 78
    • 0027554904 scopus 로고
    • High-Order Taylor-Galerkin and Adaptive h-p Methods for Second-Order Hyperbolic Systems: Application to Elastodynamics
    • Safjan, A. and Oden, J. T. (1993), "High-Order Taylor-Galerkin and Adaptive h-p Methods for Second-Order Hyperbolic Systems: Application to Elastodynamics", Computer Methods in Applied Mechanics and Engineering, 103, 187.
    • (1993) Computer Methods in Applied Mechanics and Engineering , vol.103 , pp. 187
    • Safjan, A.1    Oden, J.T.2
  • 79
    • 0001281652 scopus 로고
    • High-Order Taylor-Galerkin Methods for Linear Hyperbolic Systems
    • Safjan, A. and Oden, J. T. (1995), "High-Order Taylor-Galerkin Methods for Linear Hyperbolic Systems", Journal of Computational Physics, 120, 206.
    • (1995) Journal of Computational Physics , vol.120 , pp. 206
    • Safjan, A.1    Oden, J.T.2
  • 81
    • 58149209251 scopus 로고
    • A New Virtual-Pulse Time Integral Methodology: A New Approach for Computational Dynamics
    • also, see Erratum(1996): Parts 1 and 2, 20 and 22, 179
    • Sha, D., Chen, X. and Tamma, K. K. (1995), "A New Virtual-Pulse Time Integral Methodology: A New Approach for Computational Dynamics", Finite Elements in Analysis and Design, also, see Erratum(1996): Parts 1 and 2, 20 and 22, 179.
    • (1995) Finite Elements in Analysis and Design
    • Sha, D.1    Chen, X.2    Tamma, K.K.3
  • 82
    • 0005396851 scopus 로고    scopus 로고
    • Time Discretized Operators: Towards the Theoretical Design of a New Generation of Implicit and Explicit Representations of Time Operators for Structural Dynamics: Part 2
    • to appear
    • Sha, D., Zhou, X., and Tamma, K. K. (2000), "Time Discretized Operators: Towards the Theoretical Design of a New Generation of Implicit and Explicit Representations of Time Operators for Structural Dynamics: Part 2", Computer Methods in Applied Mechanics and Engineering (to appear).
    • (2000) Computer Methods in Applied Mechanics and Engineering
    • Sha, D.1    Zhou, X.2    Tamma, K.K.3
  • 83
    • 0020834156 scopus 로고
    • An Eigenvalue Method for Solving Transient Heat Conduction Problems
    • Shih, T. M. and Skladany, J. T. (1983), "An Eigenvalue Method for Solving Transient Heat Conduction Problems", Numerical Heat Transfer, 6, 409.
    • (1983) Numerical Heat Transfer , vol.6 , pp. 409
    • Shih, T.M.1    Skladany, J.T.2
  • 84
    • 0026939543 scopus 로고
    • Exact Energy-Momentum Conserving Algorithms and Symplectic Schemes for Nonlinear Dynamics
    • Simo, J. C., Tarnow, N., and Wang, K. K. (1992), "Exact Energy-Momentum Conserving Algorithms and Symplectic Schemes for Nonlinear Dynamics", Comput. Methods Appl. Mech. Engrg., 100, 63.
    • (1992) Comput. Methods Appl. Mech. Engrg. , vol.100 , pp. 63
    • Simo, J.C.1    Tarnow, N.2    Wang, K.K.3
  • 85
    • 0025889111 scopus 로고
    • Unconditional Stable Algorithm for Rigid Body Dynamics That Exactly Preserve Energy and Momentum
    • Simo, J. C. and Wong, K. K. (1991), "Unconditional Stable Algorithm for Rigid Body Dynamics That Exactly Preserve Energy and Momentum", International Journal for Numerical Methods in Engineering, 31, 19.
    • (1991) International Journal for Numerical Methods in Engineering , vol.31 , pp. 19
    • Simo, J.C.1    Wong, K.K.2
  • 86
    • 0347604376 scopus 로고    scopus 로고
    • Chapter An Overview of Recent Advances and Computational Methods for Thermal Problems, Taylor and Francis
    • Tamma, K. K. (1997), Advances in Numerical Heat Transfer, Volume 1, Chapter An Overview of Recent Advances and Computational Methods for Thermal Problems, page 287, Taylor and Francis.
    • (1997) Advances in Numerical Heat Transfer , vol.1 , pp. 287
    • Tamma, K.K.1
  • 87
    • 84989498863 scopus 로고
    • Further Developments Towards a New Virtual-Pulse Time Integral Methodology for General Non-linear Transient Thermal Analysis
    • Tamma, K. K., Chen, X. and Sha, D. (1994), "Further Developments Towards a New Virtual-Pulse Time Integral Methodology for General Non-linear Transient Thermal Analysis", Communications in Applied Numerical Methods in Engineering, 10, 961.
    • (1994) Communications in Applied Numerical Methods in Engineering , vol.10 , pp. 961
    • Tamma, K.K.1    Chen, X.2    Sha, D.3
  • 88
    • 0030168436 scopus 로고    scopus 로고
    • An Overview of Recent Advances and Evaluation of the Virtual-Pulse (VIP) Time Integral Methodology for General Structural Dynamics Problems: Computational Issues and Implementation Aspects
    • Tamma, K. K., Chen, X. and Sha, D. (1996), "An Overview of Recent Advances and Evaluation of the Virtual-Pulse (VIP) Time Integral Methodology for General Structural Dynamics Problems: Computational Issues and Implementation Aspects", International Journal for Numerical Methods in Engineering, 39, 1955.
    • (1996) International Journal for Numerical Methods in Engineering , vol.39 , pp. 1955
    • Tamma, K.K.1    Chen, X.2    Sha, D.3
  • 89
    • 0029136614 scopus 로고
    • Recent Advances Towards an Effective Virtual-Pulse (VIP) Explicit Time Integral Methodology for Multidimensional Thermal Analysis
    • Tamma, K. K., Mei, Y., Chen, X. and Sha, D. (1995), "Recent Advances Towards an Effective Virtual-Pulse (VIP) Explicit Time Integral Methodology For Multidimensional Thermal Analysis", International Journal of Numerical Methods in Fluids, 20, 523.
    • (1995) International Journal of Numerical Methods in Fluids , vol.20 , pp. 523
    • Tamma, K.K.1    Mei, Y.2    Chen, X.3    Sha, D.4
  • 90
    • 0024105982 scopus 로고
    • A New Finite Element Based Lax-Wendroff/Taylor-Galerkin Methodology for Computational Dynamics
    • Tamma, K. K. and Namburu, R. R. (1988a), "A New Finite Element Based Lax-Wendroff/Taylor-Galerkin Methodology for Computational Dynamics", Comp. Meths. Appl. Mech. Eng., 71, 137.
    • (1988) Comp. Meths. Appl. Mech. Eng. , vol.71 , pp. 137
    • Tamma, K.K.1    Namburu, R.R.2
  • 91
    • 0024032878 scopus 로고
    • Explicit Second-Order Accurate Taylor-Galerkin Based Finite Element Formulation for Linear/Nonlinear Transient Heat Transfer
    • Tamma, K. K. and Namburu, R. R. (1988b), "Explicit Second-Order Accurate Taylor-Galerkin Based Finite Element Formulation for Linear/Nonlinear Transient Heat Transfer", Numerical Heat Transfer, 13, 409.
    • (1988) Numerical Heat Transfer , vol.13 , pp. 409
    • Tamma, K.K.1    Namburu, R.R.2
  • 92
    • 0025432380 scopus 로고
    • A Robust Self-Starting Explicit Computational Methodology for Structural Dynamic Applications: Architecture and Representations
    • Tamma, K. K. and Namburu, R. R. (1990a), "A Robust Self-Starting Explicit Computational Methodology for Structural Dynamic Applications: Architecture and Representations", International Journal for Numerical Methods in Engineering, 29, 1441.
    • (1990) International Journal for Numerical Methods in Engineering , vol.29 , pp. 1441
    • Tamma, K.K.1    Namburu, R.R.2
  • 93
    • 0025671713 scopus 로고
    • Applicability and Evaluation of an Implicit Self-Starting Unconditionally Stable Methodology for the Dynamics of Structures
    • Tamma, K. K. and Namburu, R. R. (1990b), "Applicability and Evaluation of an Implicit Self-Starting Unconditionally Stable Methodology for the Dynamics of Structures", Computers and Structures, 34(6), 835.
    • (1990) Computers and Structures , vol.34 , Issue.6 , pp. 835
    • Tamma, K.K.1    Namburu, R.R.2
  • 94
    • 0042687127 scopus 로고
    • An Overview of New Computational Developments for Thermo-Mechanical Problems
    • 91-WA-CIE-3, Altanta, GA, December
    • Tamma, K. K. and Namburu, R. R. (1991), "An Overview of New Computational Developments for Thermo-Mechanical Problems", Proc. ASME Winter Annual Meeting, 91-WA-CIE-3, Altanta, GA, December.
    • (1991) Proc. ASME Winter Annual Meeting
    • Tamma, K.K.1    Namburu, R.R.2
  • 95
    • 0023177341 scopus 로고
    • A Generalized Hybrid Transfinite Element Computational Approach for Nonlinear/Linear Unified Thermal/Structural Analysis
    • Tamma, K. K. and Railkar, S. B. (1987a), "A Generalized Hybrid Transfinite Element Computational Approach for Nonlinear/Linear Unified Thermal/Structural Analysis", Computers and Structures, 26, 655.
    • (1987) Computers and Structures , vol.26 , pp. 655
    • Tamma, K.K.1    Railkar, S.B.2
  • 96
    • 0022797653 scopus 로고
    • Nonlinear/Linear Unified Thermal Stress Formulations: Transfinite Element Approach
    • Tamma, K. K. and Railkar, S. B. (1987b), "Nonlinear/Linear Unified Thermal Stress Formulations: Transfinite Element Approach", Comp. Meths. Appl. Mech. Eng., 64, 415.
    • (1987) Comp. Meths. Appl. Mech. Eng. , vol.64 , pp. 415
    • Tamma, K.K.1    Railkar, S.B.2
  • 97
    • 0024011606 scopus 로고
    • A New Hybrid Transfinite Element Methodology for Applicability to Conduction/Convection/Radiation Heat Transfer
    • Tamma, K. K. and Railkar, S. B. (1988a), "A New Hybrid Transfinite Element Methodology for Applicability to Conduction/Convection/Radiation Heat Transfer", International Journal for Numerical Methods In Engineering, 26, 1087.
    • (1988) International Journal for Numerical Methods in Engineering , vol.26 , pp. 1087
    • Tamma, K.K.1    Railkar, S.B.2
  • 98
    • 0024029515 scopus 로고
    • Transfinite Element Methodology for Nonlinear/Linear Transient Modeling/Analysis: Progress and Recent Advances
    • Tamma, K. K. and Railkar, S. B. (1988b), "Transfinite Element Methodology for Nonlinear/Linear Transient Modeling/Analysis: Progress and Recent Advances", International Journal for Numerical Methods in Engineering, 25, 475.
    • (1988) International Journal for Numerical Methods in Engineering , vol.25 , pp. 475
    • Tamma, K.K.1    Railkar, S.B.2
  • 99
    • 0003288273 scopus 로고    scopus 로고
    • Energy-Conserving/L-Stable Nth-Order Integration Operators [E/LNInO] for Computational Dynamics
    • Buenos Aires, Argentina
    • Tamma, K. K., Sha, D. and Zhou, X. (1998a), "Energy-Conserving/L-Stable Nth-Order Integration Operators [E/LNInO] for Computational Dynamics", In Proc. World Congress in Computational Mechanics, IV, Buenos Aires, Argentina.
    • (1998) Proc. World Congress in Computational Mechanics , vol.4
    • Tamma, K.K.1    Sha, D.2    Zhou, X.3
  • 100
    • 0005464481 scopus 로고    scopus 로고
    • Time Discretized Operators: Towards the Theoretical Design of a New Generation of a Generalized Family of Time Operators for Structural Dynamics: Part 1
    • to appear
    • Tamma, K. K., Sha, D. and Zhou, X. (2000a), "Time Discretized Operators: Towards the Theoretical Design of a New Generation of a Generalized Family of Time Operators for Structural Dynamics: Part 1", Computer Methods in Applied Mechanics and Engineering (to appear).
    • (2000) Computer Methods in Applied Mechanics and Engineering
    • Tamma, K.K.1    Sha, D.2    Zhou, X.3
  • 101
    • 84983142822 scopus 로고    scopus 로고
    • Transient Algorithms for Heat Transfer: Theoretical Developments and Approaches for Generating Nth-Order Accurate Algorithms
    • number AIAA-98-0847, Reno, Nevada
    • Tamma, K. K., Zhou, X. and Sha, D. (1998b), "Transient Algorithms for Heat Transfer: Theoretical Developments and Approaches for Generating Nth-Order Accurate Algorithms", In 36th Aerospace Sciences Meeting, number AIAA-98-0847, Reno, Nevada.
    • (1998) 36th Aerospace Sciences Meeting
    • Tamma, K.K.1    Zhou, X.2    Sha, D.3
  • 103
    • 0000450409 scopus 로고    scopus 로고
    • Towards a Formal Theory of Development/Evolution and Characterization of Time Discretized Operators for Heat Transfer
    • Tamma, K. K., Zhou, X. and Sha, D. (1999a), "Towards a Formal Theory of Development/Evolution and Characterization of Time Discretized Operators for Heat Transfer", International Journal of Numerical Methods for Heat and Fluid Flow, 9, 348.
    • (1999) International Journal of Numerical Methods for Heat and Fluid Flow , vol.9 , pp. 348
    • Tamma, K.K.1    Zhou, X.2    Sha, D.3
  • 104
    • 0033541683 scopus 로고    scopus 로고
    • Transient Algorithms for Heat Transfer: General Developments and Approaches for Generating Nth-Order Time Accurate Operators Including Practically Useful Second-Order Forms
    • Tamma, K. K., Zhou, X. and Sha, D. (1999b), "Transient Algorithms for Heat Transfer: General Developments and Approaches for Generating Nth-Order Time Accurate Operators Including Practically Useful Second-Order Forms", International Journal for Numerical Methods in Engineering, 44, 1545.
    • (1999) International Journal for Numerical Methods in Engineering , vol.44 , pp. 1545
    • Tamma, K.K.1    Zhou, X.2    Sha, D.3
  • 105
    • 0346973441 scopus 로고    scopus 로고
    • A Theory of Development and Design of Generalized Integration Operators for Computational Structural Dynamics
    • to appear
    • Tamma, K. K., Zhou, X. and Sha, D. (2000b), "A Theory of Development and Design of Generalized Integration Operators for Computational Structural Dynamics", International Journal for Numerical Methods in Engineering (to appear).
    • (2000) International Journal for Numerical Methods in Engineering
    • Tamma, K.K.1    Zhou, X.2    Sha, D.3
  • 106
    • 0031245511 scopus 로고    scopus 로고
    • Computational Algorithms for Transient Analysis: The Burden of Weight and Consequences Towards Formalizing Discrete Numerically Assigned [DNA] Algorithmic Markers: Wp-Family
    • Tamma, K. K., Zhou, X. and Valasutean, R. (1997), "Computational Algorithms for Transient Analysis: The Burden of Weight and Consequences Towards Formalizing Discrete Numerically Assigned [DNA] Algorithmic Markers: Wp-Family", Computer Methods in Applied Mechanics and Engineering, 149, 153.
    • (1997) Computer Methods in Applied Mechanics and Engineering , vol.149 , pp. 153
    • Tamma, K.K.1    Zhou, X.2    Valasutean, R.3
  • 107
    • 0028428937 scopus 로고
    • How to Render Second-Order Accurate Time Stepping Algorithms Fourth-Order Accurate while Remaining the Stability and Conservation Properties
    • Tarnow, N. and Simo, J. C. (1994), "How to Render Second-Order Accurate Time Stepping Algorithms Fourth-Order Accurate While Remaining the Stability and Conservation Properties", Computer Methods in Applied Mechanics and Engineering, 115, 233.
    • (1994) Computer Methods in Applied Mechanics and Engineering , vol.115 , pp. 233
    • Tarnow, N.1    Simo, J.C.2
  • 109
    • 0019541821 scopus 로고
    • Modal Methods in the Dynamics of Systems with Non-Classical Damping
    • Traill-Nash, R. (1981), "Modal Methods in the Dynamics of Systems with Non-Classical Damping", Earthquake Engineering and Structural Dynamics, 9, 153.
    • (1981) Earthquake Engineering and Structural Dynamics , vol.9 , pp. 153
    • Traill-Nash, R.1
  • 110
    • 84985323047 scopus 로고
    • The Direct Numerical Integration of Linear Matrix Differential Equations Using Padé Approximations
    • Trujillo, D. M. (1975), "The Direct Numerical Integration of Linear Matrix Differential Equations Using Padé Approximations", International Journal for Numerical Methods in Engineering, 9, 259.
    • (1975) International Journal for Numerical Methods in Engineering , vol.9 , pp. 259
    • Trujillo, D.M.1
  • 111
    • 0017483482 scopus 로고
    • An Unconditionally Stable Explicit Algorithm for Finite Element Heat Conduction Analysis
    • Trujillo, D. M. (1977a), "An Unconditionally Stable Explicit Algorithm for Finite Element Heat Conduction Analysis", Nuclear Engineering and Design, 44(99), 175.
    • (1977) Nuclear Engineering and Design , vol.44 , Issue.99 , pp. 175
    • Trujillo, D.M.1
  • 115
  • 117
    • 0017629854 scopus 로고
    • An Implicit-Iterative Solution of the Heat Conduction Equation with a Radiation Boundary Condition
    • Williams, S. D. and Curry, D. M. (1977), An Implicit-Iterative Solution of the Heat Conduction Equation with a Radiation Boundary Condition. Int. J. Num. Meth. Eng., 11:1605.
    • (1977) Int. J. Num. Meth. Eng. , vol.11 , pp. 1605
    • Williams, S.D.1    Curry, D.M.2
  • 119
    • 85003212369 scopus 로고
    • Large Dynamic Deformations of Beams, Rings, Plates and Shells
    • Witmer, E. A., and Balmer., H. A (1963) "Large Dynamic Deformations of Beams, Rings, Plates and Shells", AIAA J., 8:1848.
    • (1963) AIAA J. , vol.8 , pp. 1848
    • Witmer, E.A.1    Balmer, H.A.2
  • 124
    • 0026402453 scopus 로고
    • Dynamic Characteristics of Non-Classically Damped Structures
    • Xu, K. and Igusa, T. (1991), "Dynamic Characteristics of Non-Classically Damped Structures", Earthquake Engineering and Structural Dynamics, 20, 1127.
    • (1991) Earthquake Engineering and Structural Dynamics , vol.20 , pp. 1127
    • Xu, K.1    Igusa, T.2
  • 125
    • 0346973442 scopus 로고
    • A Variational Principle in Heat Conduction and Its Applications (I)(II)
    • Zhong, J. (1979), "A Variational Principle in Heat Conduction and Its Applications (I)(II)", Journal of Zhejiang University, 3, 91.
    • (1979) Journal of Zhejiang University , vol.3 , pp. 91
    • Zhong, J.1
  • 126
    • 0026239532 scopus 로고
    • Finite Element Eigenvalue Method for Solving Phase-Change Problems
    • Zhong, J., Chow, L. C. and Chang, W. S. (1991), "Finite Element Eigenvalue Method for Solving Phase-Change Problems", Journal of Thermophysics, 5, 589.
    • (1991) Journal of Thermophysics , vol.5 , pp. 589
    • Zhong, J.1    Chow, L.C.2    Chang, W.S.3
  • 127
    • 0348234347 scopus 로고
    • A Finite Element Eigenvalue Method for Solving Transient Heat Conduction Problems
    • Zhong, J., Chow, L. C. and Chang, W. S. (1992), "A Finite Element Eigenvalue Method for Solving Transient Heat Conduction Problems", Int. J. Num. Meth. Heat Fluid Flow, 2, 243.
    • (1992) Int. J. Num. Meth. Heat Fluid Flow , vol.2 , pp. 243
    • Zhong, J.1    Chow, L.C.2    Chang, W.S.3
  • 128
    • 0028739356 scopus 로고
    • A Precise Time Step Integration Method
    • Zhong, W. and Williams, F. W. (1994), "A Precise Time Step Integration Method", Proc. Inst. Mech. Engrs, 208, 427-436.
    • (1994) Proc. Inst. Mech. Engrs , vol.208 , pp. 427-436
    • Zhong, W.1    Williams, F.W.2
  • 130
    • 0030102551 scopus 로고    scopus 로고
    • On a New Time Integration Method for Solving Time Dependent Partial Differential Equations
    • Zhong, W., Zhu, J. and Zhong, X. (1996), "On a New Time Integration Method for Solving Time Dependent Partial Differential Equations", Comput. Methods Appl. Mech. Engrg, 130, 163-178.
    • (1996) Comput. Methods Appl. Mech. Engrg , vol.130 , pp. 163-178
    • Zhong, W.1    Zhu, J.2    Zhong, X.3
  • 132
    • 84985773372 scopus 로고
    • A New Look at Newmark, Houbolt and Other Time Stepping Formulas: A Weighted Residual Approach
    • Zienkiewicz, O. C. (1977), "A New Look at Newmark, Houbolt and Other Time Stepping Formulas: A Weighted Residual Approach", Earthquake Engineering and Structural Dynamics, 5, 283.
    • (1977) Earthquake Engineering and Structural Dynamics , vol.5 , pp. 283
    • Zienkiewicz, O.C.1
  • 135
    • 84889524498 scopus 로고
    • Finite Element Methods in Heat Conduction Problem
    • Brunei University
    • Zlamal, M. (1975), "Finite Element Methods in Heat Conduction Problem", In Finite Element Methods. Brunei University.
    • (1975) Finite Element Methods
    • Zlamal, M.1


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