scientific article; zbMATH DE number 917338

zbMath0861.65069MaRDI QIDQ4888379

Victor G. Ganzha, Evgenii V. Vorozhtsov

Publication date: 15 August 1996

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

heat equationsymbolic computationfinite volume schemesEuler equationsdifference schemeselliptic equationsmultigridsuccessive overrelaxationPoisson equationCrank-Nicolson schemeMathematicaparabolic equationshyperbolic equationsadvection equationMathematica programsTaylor expansionscurvilinear gridsMacCormack schemefirst-order hyperbolic equationsoverrelaxationTVD schemesvon Neumann stabilitymultilevel schemesLax-Wendroff schemeOsher-Chakravarthy schemeJameson-Runge-Kutta schemes

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Boundary value problems for second-order elliptic equations (35J25) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Iterative numerical methods for linear systems (65F10) Initial value problems for second-order parabolic equations (35K15) Initial value problems for second-order hyperbolic equations (35L15) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)

Related Items (12)

A bounded upwinding scheme for computing convection-dominated transport problems ⋮ Modified Eulerian-Lagrangian formulation for hydrodynamic modeling ⋮ On stability of difference schemes. Central schemes for hyperbolic conservation laws with source terms ⋮ Discrete effects on the source term for the lattice Boltzmann modelling of one-dimensional reaction-diffusion equations ⋮ Interaction of a shock wave with a particle cloud of finite size ⋮ Application of computer algebra systems for stability analysis of difference schemes on curvilinear grids ⋮ Families of equilibria and dynamics in a population kinetics model with cosymmetry ⋮ Differential Resultant, Computer Algebra and Completely Integrable Dynamical Systems ⋮ A simple numerical approach for assessing coupled transport processes in partitioning systems ⋮ Computer algebra and problems of motion stability ⋮ Stability investigation of Runge-Kutta schemes with artificial dissipator on curvilinear grids for the Euler equations ⋮ Algebraic construction of a strongly consistent, permutationally symmetric and conservative difference scheme for 3D steady Stokes flow

Uses Software

• Mathematica

This page was built for publication: