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- Compact_finite_difference abstract "The compact finite difference (CTFD) formulation, or Hermitian formulation, is a numerical method to solve the compressible Navier–Stokes equation. This method is both accurate and numerically very stable (especially for high-order derivatives).The expression for partial derivatives is developed and expressed mainly on dependent variables. An approach to increase accuracy of the estimates of the derivatives, in particular a problem involving shorter length scales or equivalently high frequencies, is to include the influence of the neighboring points in the calculations. This approach is analogous to the solution of a partial differential equation by an Implicit scheme to an explicit scheme. The resulting approximation is called a compact finite difference (CTFD) formulation or a Hermitian formulation.Forward difference formulae and backward difference formulae are first order accurate, and central difference formula are second order accurate; compact finite difference formulae provide a more accurate method to solve equations.".
- Compact_finite_difference thumbnail Three_point_Hermitian_formula_extended.JPG?width=300.
- Compact_finite_difference wikiPageExternalLink 0912f50a358a8cc860000000.
- Compact_finite_difference wikiPageExternalLink 222646503_A_staggered_compact_finite_difference_formulation_for_the_compressible_NavierStokes_equations.
- Compact_finite_difference wikiPageID "44514254".
- Compact_finite_difference wikiPageLength "4788".
- Compact_finite_difference wikiPageOutDegree "25".
- Compact_finite_difference wikiPageRevisionID "645327661".
- Compact_finite_difference wikiPageWikiLink Backward_difference.
- Compact_finite_difference wikiPageWikiLink Category:Multivariable_calculus.
- Compact_finite_difference wikiPageWikiLink Coefficient.
- Compact_finite_difference wikiPageWikiLink Compact_finite_difference.
- Compact_finite_difference wikiPageWikiLink Dependent_and_independent_variables.
- Compact_finite_difference wikiPageWikiLink Dependent_variable.
- Compact_finite_difference wikiPageWikiLink Derivative.
- Compact_finite_difference wikiPageWikiLink Derivative_(calculus).
- Compact_finite_difference wikiPageWikiLink Differential_equation.
- Compact_finite_difference wikiPageWikiLink Equation.
- Compact_finite_difference wikiPageWikiLink Finite_difference.
- Compact_finite_difference wikiPageWikiLink First_derivative.
- Compact_finite_difference wikiPageWikiLink Fluid_dynamics.
- Compact_finite_difference wikiPageWikiLink Navier–Stokes_equation.
- Compact_finite_difference wikiPageWikiLink Navier–Stokes_equations.
- Compact_finite_difference wikiPageWikiLink Numerical_analysis.
- Compact_finite_difference wikiPageWikiLink Numerical_mathematics.
- Compact_finite_difference wikiPageWikiLink Ordinary_differential_equation.
- Compact_finite_difference wikiPageWikiLink Partial_derivative.
- Compact_finite_difference wikiPageWikiLink Partial_differential_equation.
- Compact_finite_difference wikiPageWikiLink Taylor_series.
- Compact_finite_difference wikiPageWikiLink File:Co-efficients.JPG.
- Compact_finite_difference wikiPageWikiLink File:Compact_Finite_Difference_Formulation_for_2nd_order_derivatives.JPG.
- Compact_finite_difference wikiPageWikiLink File:Compact_Finite_Difference_Schemes_for_the_first_order_derivatives.JPG.
- Compact_finite_difference wikiPageWikiLink File:Fifth_point_formulation.JPG.
- Compact_finite_difference wikiPageWikiLink File:Final_value_of_the_co-efficients.JPG.
- Compact_finite_difference wikiPageWikiLink File:Three_point_Hermitian_formula_extended.JPG.
- Compact_finite_difference wikiPageWikiLink File:Truncation_error.JPG.
- Compact_finite_difference wikiPageWikiLink File:Truncation_error_Extended.JPG.
- Compact_finite_difference wikiPageWikiLinkText "compact finite difference".
- Compact_finite_difference hasPhotoCollection Compact_finite_difference.
- Compact_finite_difference wikiPageUsesTemplate Template:Multiple_issues.
- Compact_finite_difference subject Category:Multivariable_calculus.
- Compact_finite_difference hypernym Method.
- Compact_finite_difference type Software.
- Compact_finite_difference comment "The compact finite difference (CTFD) formulation, or Hermitian formulation, is a numerical method to solve the compressible Navier–Stokes equation. This method is both accurate and numerically very stable (especially for high-order derivatives).The expression for partial derivatives is developed and expressed mainly on dependent variables.".
- Compact_finite_difference label "Compact finite difference".
- Compact_finite_difference sameAs m.012c8ldk.
- Compact_finite_difference wasDerivedFrom Compact_finite_difference?oldid=645327661.
- Compact_finite_difference depiction Three_point_Hermitian_formula_extended.JPG.
- Compact_finite_difference isPrimaryTopicOf Compact_finite_difference.