Variational-difference approximation

DOI10.1007/BF01083968zbMath0396.65027OpenAlexW2027718254MaRDI QIDQ1253524

S. G. Michlin

Publication date: 1978

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01083968

zbMATH Keywords

StabilityBoundary LayerCalculation of EigenvaluesCourant's ApproachDifference SchemesEuler-Maclaurin Quadrature FormulaFunctions of Sobolev ClassesVariational-Difference Method

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solutions to equations with linear operators (65J10) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (9)

The uniqueness of a space of smooth splines and calibration relations ⋮ Embedding of spaces and wavelet decomposition ⋮ Local refinement of solutions in the finite element method ⋮ Adaptive Haar type wavelets on manifolds ⋮ Construction of homogeneous spaces of local functions and inverse approximation theorems ⋮ Stability and computation time in the variational-difference ⋮ Splines of variable approximation order and their wavelet decompositions ⋮ The constant factor in error estimates of the variational-difference approximation ⋮ Construction of spaces of local functions on a nonuniform mesh

Cites Work

• Construction of basic functions for numerical utilisation of Ritz's method
• On the difference-variational method for multidimensional boundary value problems
• Evaluation des erreurs de troncature des approximations des espaces de Sobolev
• One-dimensional cohomologies of discrete subgroups
• Approximation in the finite element method
• Fourier Analysis of the Finite Element Method in Ritz‐Galerkin Theory
• Variational methods for the solution of problems of equilibrium and vibrations
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