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  • NUMERICAL ANALYSIS  (5)
  • torsional surface waves
  • 1980-1984  (5)
  • 1
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    Explicit finite difference predictor and convex corrector with applications to hyperbolic partial differential equations (1983)
    In:  Other Sources
    Details
    Publication Date: 2011-08-18
    Description: An explicit finite difference scheme consisting of a predictor and a corrector has been developed and applied to solve some hyperbolic partial differential equations (PDEs). The corrector is a convex-type function which is applied at each time level and at each mesh point. It consists of a parameter which may be estimated such that for larger time steps the algorithm should remain stable and generate a fast speed of convergence to the steady-state solution. Some examples have been given.
    Keywords: NUMERICAL ANALYSIS
    Type: Computers and Mathematics with Applications (ISSN 0097-4943); 9; 3, 19; 1983
    Format: text
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    NASA TECHNICAL REPORTS
  • 2
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    Nonlinear grid error effects on numerical solution of partial differential equations (1980)
    In:  CASI
    Details
    Publication Date: 2016-06-07
    Description: Finite difference solutions of nonlinear partial differential equations require discretizations and consequently grid errors are generated. These errors strongly affect stability and convergence properties of difference models. Previously such errors were analyzed by linearizing the difference equations for solutions. Properties of mappings of decadence were used to analyze nonlinear instabilities. Such an analysis is directly affected by initial/boundary conditions. An algorithm was developed, applied to nonlinear Burgers equations, and verified computationally. A preliminary test shows that Navier-Stokes equations may be treated similarly.
    Keywords: NUMERICAL ANALYSIS
    Type: NASA. Langley Research Center Numerical Grid Generation Tech.; p 221-230
    Format: application/pdf
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  • 3
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    Numerical modeling of D-mappings with applications to chemical kinetics (1984)
    In:  CASI
    Details
    Publication Date: 2019-06-28
    Description: Numerical modeling of D-mappings was studied and applied to solving nonlinear stiff systems. These mappings were locally linearized for convergence analysis, and some applications were made to chemical kinetics. The technique avoids using multistep implicit codes that require inversion of Jacobian matrices, but depends on the Jacobians for its convergence analysis.
    Keywords: NUMERICAL ANALYSIS
    Type: NASA-TM-84332 , A-9256 , NAS 1.15:84332
    Format: application/pdf
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    NASA TECHNICAL REPORTS
  • 4
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    Numerical solutions of nonlinear STIFF initial value problems by perturbed functional iterations (1982)
    In:  CASI
    Details
    Publication Date: 2019-06-28
    Description: Numerical solution of nonlinear stiff initial value problems by a perturbed functional iterative scheme is discussed. The algorithm does not fully linearize the system and requires only the diagonal terms of the Jacobian. Some examples related to chemical kinetics are presented.
    Keywords: NUMERICAL ANALYSIS
    Type: NASA-TM-84234 , NAS 1.15:84234
    Format: application/pdf
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  • 5
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    An explicit predictor-corrector solver with applications to Burgers' equation (1983)
    In:  CASI
    Details
    Publication Date: 2019-06-28
    Description: Forward Euler's explicit, finite-difference formula of extrapolation, is used as a predictor and a convex formula as a corrector to integrate differential equations numerically. An application has been made to Burger's equation.
    Keywords: NUMERICAL ANALYSIS
    Type: NASA-TM-84402 , A-9475 , NAS 1.15:84402
    Format: application/pdf
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