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The impact of finite precision arithmetic and sensitivity on the numerical solution of partial differential equations

  • Published:2002-06 Issue:11-12 Volume:35 Page:1165-1195
  • ISSN:0895-7177
  • Container-title:Mathematical and Computer Modelling
  • language:en
  • Short-container-title:Mathematical and Computer Modelling

Author:

Allen E.,Burns J.,Gilliam D.,Hill J.,Shubov V.

Publisher

Elsevier BV

Subject

Computer Science Applications,Modeling and Simulation

Reference32 articles.

1. A PDE sensitivity equation method for optimal aerodynamic design;Borggaard;Journal of Computational Physics,1997

2. Asymptotic-numerical study of supersensitivity for generalized Burgers' equation;Garbey;SIAM J. Sci. Computing,2000

3. Supersensitive boundary value problems;Laforgue,1993

4. Proper orthogonal decomposition for reduced order control of partial differential equations;Atwell,2000

5. Stabilized finite element methods and feedback control for Burgers' equation;Atwell,2000

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1. Boundary control of a coupled Burgers' PDE‐ODE system;International Journal of Robust and Nonlinear Control;2022-05-10

2. Analysis, Evaluation and Exact Tracking of the Finite Precision Error Generated in Arbitrary Number of Multiplications;Mathematics;2021-05-25

3. Evaluating the Numerical Stability of Posit Arithmetic;2020 IEEE International Parallel and Distributed Processing Symposium (IPDPS);2020-05

4. Finite element approximation to global stabilization of the Burgers’ equation by Neumann boundary feedback control law;Advances in Computational Mathematics;2017-08-15

5. Extending Summation Precision for Network Reduction Operations;International Journal of Parallel Programming;2014-10-19
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