Publication Cover
Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 41, 2002 - Issue 3-4
26
Views
13
CrossRef citations to date
0
Altmetric
Original Articles

THE TIME DIMENSION AND A UNIFIED MATHEMATICAL FRAMEWORK FOR FIRST-ORDER PARABOLIC SYSTEMS

Pages 239-262 | Published online: 30 Nov 2010

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (3)

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.
Read now
Tien-Mo Shih, Chandrasekhar Thamire, Chao-Ho Sung & An-Lu Ren. (2010) Literature Survey of Numerical Heat Transfer (2000–2009): Part I. Numerical Heat Transfer, Part A: Applications 57:3-4, pages 159-296.
Read now

Articles from other publishers (10)

Dean J. Maxam & Kumar K. Tamma. (2022) Load aliasing—A new additional test concept for effective control of nonhomogeneous high‐frequency behavior in linear multistep methods. International Journal for Numerical Methods in Engineering 123:12, pages 2705-2737.
Crossref
Dean J. Maxam & Kumar K. Tamma. (2022) A re‐evaluation of overshooting in time integration schemes: The neglected effect of physical damping in the starting procedure. International Journal for Numerical Methods in Engineering 123:12, pages 2683-2704.
Crossref
Yazhou Wang, Tao Xue, Kumar K. Tamma, Dean Maxam & Guoliang Qin. (2021) An accurate and simple universal a posteriori error estimator for GS4-1 framework: Adaptive time stepping in first-order transient systems. Computer Methods in Applied Mechanics and Engineering 374, pages 113604.
Crossref
D. J. MaxamK. K. Tamma. (2019) Discussion of “Elimination of Overshoot in Forced Vibration Responses for Chang Explicit Family Methods” by Shuenn-Yih Chang. Journal of Engineering Mechanics 145:11.
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 .
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.
Crossref
X. Zhou & K. K. Tamma. (2006) Algorithms by design with illustrations to solid and structural mechanics/dynamics. International Journal for Numerical Methods in Engineering 66:11, pages 1738-1790.
Crossref
Fuzhang Zhao. (2006) Weighting Factors for Single-Step Trapezoidal Method. Journal of Heat Transfer 128:4, pages 409-412.
Crossref
X. Zhou, K. K. Tamma & D. Sha. (2005) Design spaces, measures and metrics for evaluating quality of time operators and consequences leading to improved algorithms by design—illustration to structural dynamics. International Journal for Numerical Methods in Engineering 64:14, pages 1841-1870.
Crossref
R. Kanapady, K. K. Tamma & X. Zhou. (2003) A variationally consistent framework for the design of integrator and updates of generalized single step representations for structural dynamics. Communications in Numerical Methods in Engineering 19:8, pages 581-600.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.