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International Journal for Computational Methods in Engineering Science and Mechanics Volume 9, 2008 - Issue 6
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Original Articles

Algorithms by Design: Part I—On the Hidden Point Collocation Within LMS Methods and Implications for Nonlinear Dynamics Applications

A. Hoitink Department of Mechanical Engineering, University of Minnesota, Minneapolis, MN, USA
,
S. Masuri Department of Mechanical Engineering, University of Minnesota, Minneapolis, MN, USA
,
X. Zhou Department of Mechanical Engineering, University of Minnesota, Minneapolis, MN, USA
&
K. K. Tamma Department of Mechanical Engineering, University of Minnesota, Minneapolis, MN, USA
Pages 383-407 | Received 04 Mar 2008, Accepted 19 Jun 2008, Published online: 01 Oct 2008

Citations (18)

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Read on this site (7)

V.M. Wheeler, S. Masuri, K.K. Tamma, X. Zhou & M. Sellier. (2012) On the Applicability of an Isochronous Integration Framework for Parabolic/Hyperbolic Heat Conduction Type Problems. Numerical Heat Transfer, Part A: Applications 62:5, pages 372-392.
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S. Masuri, K.K. Tamma, X. Zhou & M. Sellier. (2012) GS4-1 Computational Framework for Heat Transfer Problems: Part 2—Extension to Nonlinear Cases with Illustration to Radiation Heat Transfer Problem. Numerical Heat Transfer, Part B: Fundamentals 62:2-3, pages 157-180.
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S. Masuri, K.K. Tamma, X. Zhou & M. Sellier. (2012) GS4-1 Computational Framework for Heat Transfer Problems: Part 1—Linear Cases with Illustration to Thermal Shock Problem. Numerical Heat Transfer, Part B: Fundamentals 62:2-3, pages 141-156.
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X. Zhou, J. Har, K.K. Tamma & M. Shimada. (2010) On the Numerical Discretization in Space and Time: Part 2 - Total Energy Framework and Satisfaction of Conservation Properties of Discretized Equations of Motion for Linear Dynamics Problems. International Journal for Computational Methods in Engineering Science and Mechanics 11:5, pages 280-298.
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Jason Har & K.K. Tamma. (2010) On the Numerical Discretization in Space and Time: Part 1 - Hamilton's Law of Varying Action Involving Lagrangian/Hamiltonian/Total Energy Framework. International Journal for Computational Methods in Engineering Science and Mechanics 11:5, pages 264-279.
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S. Masuri, A. Hoitink, X. Zhou & K.K. Tamma. (2009) 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. International Journal for Computational Methods in Engineering Science and Mechanics 10:1, pages 57-90.
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S. Masuri, A. Hoitink, X. Zhou & K.K. Tamma. (2009) Algorithms by Design: Part II—A Novel Normalized Time Weighted Residual Methodology and Design of a Family of Symplectic-Momentum Conserving Algorithms for Nonlinear Structural Dynamics. International Journal for Computational Methods in Engineering Science and Mechanics 10:1, pages 27-56.
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Articles from other publishers (11)

Jonathan Esteban Arroyo Silva, Michelli Marlane Silva Loureiro, Webe Joao Mansur & Felipe dos Santos Loureiro. 2017. Computational Science and Its Applications – ICCSA 2017. Computational Science and Its Applications – ICCSA 2017 347 362 .
K K Tamma & Siti Ujila Masuri. (2016) A novel extension of GS4-1 time integrator to fluid dynamics type non-linear problems with illustrations to Burgers’ equation. International Journal of Numerical Methods for Heat & Fluid Flow 26:6, pages 1634-1660.
Crossref
V.M Wheeler & K K Tamma. (2016) An overview of phonon-based heat conduction models and their solution. International Journal of Numerical Methods for Heat & Fluid Flow 26:3/4, pages 916-949.
Crossref
A. Gravouil, A. Combescure & M. Brun. (2015) Heterogeneous asynchronous time integrators for computational structural dynamics. International Journal for Numerical Methods in Engineering 102:3-4, pages 202-232.
Crossref
Jason Har & Kumar K. Tamma. 2012. Advances in Computational Dynamics of Particles, Materials and Structures. Advances in Computational Dynamics of Particles, Materials and Structures 669 680 .
S. U. Masuri, M. Sellier, X. Zhou & K. K. Tamma. (2011) Design of order-preserving algorithms for transient first-order systems with controllable numerical dissipation. International Journal for Numerical Methods in Engineering 88:13, pages 1411-1448.
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Kumar K. Tamma, Jason Har, Xiangmin Zhou, Masao Shimada & Andrew Hoitink. (2011) An Overview and Recent Advances in Vector and Scalar Formalisms: Space/Time Discretizations in Computational Dynamics—A Unified Approach. Archives of Computational Methods in Engineering 18:2, pages 119-283.
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K.S. Surana, L. Euler, J.N. Reddy & A. Romkes. (2011) Methods of Approximation in hpk Framework for ODEs in Time Resulting from Decoupling of Space and Time in IVPs. American Journal of Computational Mathematics 01:02, pages 83-103.
Crossref
Masao Shimada, Andrew Hoitink, Kumar Tamma, Xiangmin Zhou & Jason Har. (2010) Computational Dynamics for N-Body Systems with Conserving Algorithms. Computational Dynamics for N-Body Systems with Conserving Algorithms.
S. U. Masuri, A. Hoitink, X. Zhou & K. K. Tamma. (2009) Algorithms by design: A new normalized time‐weighted residual methodology and design of a family of energy–momentum conserving algorithms for non‐linear structural dynamics. International Journal for Numerical Methods in Engineering 79:9, pages 1094-1146.
Crossref
Andrew Hoitink, Siti Ujila Masuri, Xiangmin Zhou & Kumar Tamma. (2008) On the Precise Evaluation of Acceleration Computations for General Structural Dynamic Applications: Issues and Noteworthy Perspectives. On the Precise Evaluation of Acceleration Computations for General Structural Dynamic Applications: Issues and Noteworthy Perspectives.

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