-
1
-
-
53349101478
-
Algorithms by Design: Part I-On the Hidden Point Collocation Within LMS Methods and Implications for Nonlinear Dynamics Applications
-
A. Hoitink, S. Masuri, X. Zhou, and K.K. Tamma, Algorithms by Design: Part I-On the Hidden Point Collocation Within LMS Methods and Implications for Nonlinear Dynamics Applications, Int. J. Comp. Meth. Eng. Sci. Mech., vol. 8, pp. 383-407, 2008.
-
(2008)
Int. J. Comp. Meth. Eng. Sci. Mech
, vol.8
, pp. 383-407
-
-
Hoitink, A.1
Masuri, S.2
Zhou, X.3
Tamma, K.K.4
-
2
-
-
60749095003
-
-
S. Masuri, A. Hoitink, X. Zhou, and K.K. Tamma, Algorithms by Design: Part III - A Novel Normalized Time Weighted Residual Methodology and Design of Optimal Symplectic-Momentum Based Controllable Numerical Dissipative Algorithms for Nonlinear Structural Dynamics, Int. J. Comp. Meth. Eng. Sci. Mech., l0, pp. 57-90, 2009.
-
S. Masuri, A. Hoitink, X. Zhou, and K.K. Tamma, Algorithms by Design: Part III - A Novel Normalized Time Weighted Residual Methodology and Design of Optimal Symplectic-Momentum Based Controllable Numerical Dissipative Algorithms for Nonlinear Structural Dynamics, Int. J. Comp. Meth. Eng. Sci. Mech., vol. l0, pp. 57-90, 2009.
-
-
-
-
3
-
-
3242722461
-
-
X. Zhou and K.K. Tamma, A New Unified Theory Underlying Time Dependent Linear First-Order Systems: A Prelude to Algorithms by Design, Int. J. Num. Meth. Eng., 60, pp. 1699-1740, 2004.
-
X. Zhou and K.K. Tamma, A New Unified Theory Underlying Time Dependent Linear First-Order Systems: A Prelude to Algorithms by Design, Int. J. Num. Meth. Eng., vol. 60, pp. 1699-1740, 2004.
-
-
-
-
4
-
-
45449123467
-
Lie-Poisson Integrators and Lie-Poisson Hamilton-lacobi Theoiy
-
Z. Ge and J.E. Marsden, Lie-Poisson Integrators and Lie-Poisson Hamilton-lacobi Theoiy. Phys. Lett., A 133:134-139, 1988.
-
(1988)
Phys. Lett., A
, vol.133
, pp. 134-139
-
-
Ge, Z.1
Marsden, J.E.2
-
5
-
-
34249830447
-
-
I.C. Simo and N. Tarnow. The Discrete Energy-Momentum Method. Conserving Algorithms for Nonlinear Elastodynamics, I. Appl. Math, and Phys., 43, pp. 757-792, 1992.
-
I.C. Simo and N. Tarnow. The Discrete Energy-Momentum Method. Conserving Algorithms for Nonlinear Elastodynamics, I. Appl. Math, and Phys., vol. 43, pp. 757-792, 1992.
-
-
-
-
6
-
-
0026939543
-
Exact Energy-Momentum Conserving Algorithms and Symplectic Schemes for Nonlinear Dynamics
-
I.C. Simo and N. Tarnow, Exact Energy-Momentum Conserving Algorithms and Symplectic Schemes for Nonlinear Dynamics, Comp. Meth. Appl. Mech. Eng., vol. 100, pp. 63-116, 1992.
-
(1992)
Comp. Meth. Appl. Mech. Eng
, vol.100
, pp. 63-116
-
-
Simo, I.C.1
Tarnow, N.2
-
7
-
-
0030231580
-
Constraint Energy Momentum Algorithm and Its Application to Nonlinear Dynamics of Shell, Comp. Meth. Appl. Mech. Engi
-
D. Kuhl and E. Ramm, Constraint Energy Momentum Algorithm and Its Application to Nonlinear Dynamics of Shell, Comp. Meth. Appl. Mech. Engi.,vol. 136, pp. 293-315, 1996.
-
(1996)
, vol.136
, pp. 293-315
-
-
Kuhl, D.1
Ramm, E.2
-
8
-
-
0032649574
-
-
D. Kuhl and M.A. Crisfield, Energy-Conserving and Decaying Algorithms in Non-Linear Structural Dynamics, Int. I. Num. Meth. Eng., 45, pp. 569-599, 1999.
-
D. Kuhl and M.A. Crisfield, Energy-Conserving and Decaying Algorithms in Non-Linear Structural Dynamics, Int. I. Num. Meth. Eng., vol. 45, pp. 569-599, 1999.
-
-
-
-
9
-
-
60749129604
-
-
I. Num. Meth. Eng, In press
-
S. Masuri, A. Hoitink, X. Zhou, and K.K. Tamma, Algorithms By Design: A New Normalized Time Weighted Residual Methodology and Design of a Family of Energy-Momentum Conserving Algorithms for Nonlinear Structural Dynamics, Int. I. Num. Meth. Eng. (In press).
-
Algorithms By Design: A New Normalized Time Weighted Residual Methodology and Design of a Family of Energy-Momentum Conserving Algorithms for Nonlinear Structural Dynamics, Int
-
-
Masuri, S.1
Hoitink, A.2
Zhou, X.3
Tamma, K.K.4
-
10
-
-
60749125041
-
Algorithms by Design: Optimal Energy-Momentum Based Controllable Numerical Dissipative Schemes in the Sense of Linear Multi-Step (LMS) Methods for Nonlinear Structural Dynamics
-
In Review
-
S. Masuri, A. Hoitink, X. Zhou, and K.K. Tamma, Algorithms by Design: Optimal Energy-Momentum Based Controllable Numerical Dissipative Schemes in the Sense of Linear Multi-Step (LMS) Methods for Nonlinear Structural Dynamics, Comp. Meth. Appl. Mech. Eng. (In Review).
-
Comp. Meth. Appl. Mech. Eng
-
-
Masuri, S.1
Hoitink, A.2
Zhou, X.3
Tamma, K.K.4
-
11
-
-
0033243778
-
-
C. Kane, I.E. Marsden, and M. Ortiz, Symplectic-Energy-Momentum Preserving Variational Integrators, I. Math. Phys., 40, pp. 3353-3371, 1999.
-
C. Kane, I.E. Marsden, and M. Ortiz, Symplectic-Energy-Momentum Preserving Variational Integrators, I. Math. Phys., vol. 40, pp. 3353-3371, 1999.
-
-
-
-
12
-
-
0002859047
-
-
A.P. Veselov, Integrable Discrete-Time Systems and Difference Operators, Fund Anal, and its Appli., 22, pp. 83-93, 1988. Translated from Funk-tsional'nyi Analiz i Ego Prilozheniya, 22, pp. 1-13, 1988.
-
A.P. Veselov, Integrable Discrete-Time Systems and Difference Operators, Fund Anal, and its Appli., vol. 22, pp. 83-93, 1988. Translated from Funk-tsional'nyi Analiz i Ego Prilozheniya, vol. 22, pp. 1-13, 1988.
-
-
-
-
13
-
-
0001189154
-
-
A.P. Veselov, Integrable Lagrangian Correspondences and Factorization of Matrix Polynomials, Func. Anal, and Its Appl., 25, pp. 112-122, 1991. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, 25, pp. 38-49, 1991.
-
A.P. Veselov, Integrable Lagrangian Correspondences and Factorization of Matrix Polynomials, Func. Anal, and Its Appl., vol. 25, pp. 112-122, 1991. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, vol. 25, pp. 38-49, 1991.
-
-
-
-
14
-
-
0000008977
-
Discrete Versions of Some Classical Integrable Systems and Factorization of Matrix Polynomials
-
I. Moser and A.P. Veselov, Discrete Versions of Some Classical Integrable Systems and Factorization of Matrix Polynomials, Comm. Math. Phys., vol. 139, pp. 217-243, 1991.
-
(1991)
Comm. Math. Phys
, vol.139
, pp. 217-243
-
-
Moser, I.1
Veselov, A.P.2
-
16
-
-
0034516803
-
-
C.Kane, I.E. Marsden, M. Ortiz, andM. West, Variational Integrators and the Newmark Algorithm for Conservative and Dissipative Mechanical Systems, Int. I. Num. Meth. Eng., 49, pp. 1295-1325, 2000.
-
C.Kane, I.E. Marsden, M. Ortiz, andM. West, Variational Integrators and the Newmark Algorithm for Conservative and Dissipative Mechanical Systems, Int. I. Num. Meth. Eng., vol. 49, pp. 1295-1325, 2000.
-
-
-
-
17
-
-
60749117877
-
-
K. Feng, Difference Schemes for Hamiltonian Formalism and Symplectic Geometry, I. of Comp. Math., 4, pp. 279-289, 1986.
-
K. Feng, Difference Schemes for Hamiltonian Formalism and Symplectic Geometry, I. of Comp. Math., vol. 4, pp. 279-289, 1986.
-
-
-
-
18
-
-
0347300675
-
-
L. Noels, L. Stainier, and J.P. Ponthot, An Energy-Momentum Conserving Algorithm for Non-Linear Hypoelastic Constitutive Models, Int. I. Num. Meth. Eng., 59, pp. 83-114, 2004.
-
L. Noels, L. Stainier, and J.P. Ponthot, An Energy-Momentum Conserving Algorithm for Non-Linear Hypoelastic Constitutive Models, Int. I. Num. Meth. Eng., vol. 59, pp. 83-114, 2004.
-
-
-
-
19
-
-
0347360627
-
Some Aspects of the Dynamics and Numerics of Hamiltonian System
-
D. S. Broomhead and A. Iserles, editors, Oxford University Press, Oxford
-
R.S. MacKay, Some Aspects of the Dynamics and Numerics of Hamiltonian System. In D. S. Broomhead and A. Iserles, editors, The Dynamics of Numerics and the Numerics of Dynamics, pp. 137-193. Oxford University Press, Oxford, 1992.
-
(1992)
The Dynamics of Numerics and the Numerics of Dynamics
, pp. 137-193
-
-
MacKay, R.S.1
-
20
-
-
84959193128
-
-
I.E. Marsden and M. West, Discrete Mechanics and Variational Integrators, Acta. Numerica., l0, pp. 357-514, 2001.
-
I.E. Marsden and M. West, Discrete Mechanics and Variational Integrators, Acta. Numerica., vol. l0, pp. 357-514, 2001.
-
-
-
-
22
-
-
0025671713
-
Applicability and Evaluation of an Implicit Self-Starting Unconditionally Stable Methodology for the Dynamics of Structures
-
K.K. Tamma and R.R. Namburu, Applicability and Evaluation of an Implicit Self-Starting Unconditionally Stable Methodology for the Dynamics of Structures, Comp. and Struct., vol. 34, pp. 835-845, 1990.
-
(1990)
Comp. and Struct
, vol.34
, pp. 835-845
-
-
Tamma, K.K.1
Namburu, R.R.2
-
23
-
-
0034415912
-
-
K.K. Tamma, X. Zhou, and D. Sha, The Time Dimension: A Theory of Development/Evolution, Classification, Characterization and Design of Computational Algorithms for Transient/Dynamic Applications, Archives in Computational Mechanics, vol. 7, pp. 67-290, 2000.
-
(2000)
The Time Dimension: A Theory of Development/Evolution, Classification, Characterization and Design of Computational Algorithms for Transient/Dynamic Applications, Archives in Computational Mechanics
, vol.7
, pp. 67-290
-
-
Tamma, K.K.1
Zhou, X.2
Sha, D.3
-
24
-
-
0035065913
-
-
K.K. Tamma, X. Zhou, and D. Sha, A Theory of Development and Design of Generalized Integration Operators for Computational Structural Dynamics, Int. I. Num. Meth. Eng., 50, pp. 1619-1664, 2000.
-
K.K. Tamma, X. Zhou, and D. Sha, A Theory of Development and Design of Generalized Integration Operators for Computational Structural Dynamics, Int. I. Num. Meth. Eng., vol. 50, pp. 1619-1664, 2000.
-
-
-
-
25
-
-
0347058540
-
-
X. Zhou and K.K. Tamma, Design, Analysis, and Synthesis of Generalized Single Step Single Solve and Optimal Algorithms for Structural Dynamics, Int. I. Num. Meth. Eng., 59, pp. 597-668, 2004.
-
X. Zhou and K.K. Tamma, Design, Analysis, and Synthesis of Generalized Single Step Single Solve and Optimal Algorithms for Structural Dynamics, Int. I. Num. Meth. Eng., vol. 59, pp. 597-668, 2004.
-
-
-
-
26
-
-
33745630122
-
-
X. Zhou and K.K. Tamma, Algorithms by Design with Illustrations to Solid and Structural Mechanics/Dynamics, Int. I. Num. Meth. Eng., 66, pp. 1738-1790, 2006.
-
X. Zhou and K.K. Tamma, Algorithms by Design with Illustrations to Solid and Structural Mechanics/Dynamics, Int. I. Num. Meth. Eng., vol. 66, pp. 1738-1790, 2006.
-
-
-
-
27
-
-
60749084808
-
-
N.M. Newmark, A Method of Computation for Structural Dynamics, I. Amer. Soc. Civil Eng., 1, pp. 67-94, 1959.
-
N.M. Newmark, A Method of Computation for Structural Dynamics, I. Amer. Soc. Civil Eng., vol. 1, pp. 67-94, 1959.
-
-
-
-
28
-
-
84987034590
-
-
W.L. Wood, M. Bossak, and O.C. Zienkiewicz, An Alpha Modification of Newmark's Method, Int. I. Num. Meth. Eng., 15, pp. 1562, 1980.
-
W.L. Wood, M. Bossak, and O.C. Zienkiewicz, An Alpha Modification of Newmark's Method, Int. I. Num. Meth. Eng., vol. 15, pp. 1562, 1980.
-
-
-
-
29
-
-
84985759019
-
-
H.M. Hilber, T.J.R. Hughes, and R.L. Taylor, Improved Numerical Dissipation for Time Integration Algorithms in Structural Dynamics, Earthq. Eng. and Struc. Dyn., 5, pp. 283, 1977.
-
H.M. Hilber, T.J.R. Hughes, and R.L. Taylor, Improved Numerical Dissipation for Time Integration Algorithms in Structural Dynamics, Earthq. Eng. and Struc. Dyn., vol. 5, pp. 283, 1977.
-
-
-
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