Numerical solution of the boundary value problems for the biharmonic equations via quasiseparable representations
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Publication:6664385
DOI10.1007/s11075-024-01809-9MaRDI QIDQ6664385
Yu.S.Eidel'man, Matania Ben-Artzi, Dalia Fishelov
Publication date: 16 January 2025
Published in: Numerical Algorithms (Search for Journal in Brave)
potentialDirichlet problemnumerical solutionbiharmonic equationshigh-order difference schemeHermitian derivativequassiseparable representation of matrices
Finite difference methods for boundary value problems involving PDEs (65N06) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
Cites Work
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- Spline functions, the biharmonic operator and approximate eigenvalues
- Out-of-band quasiseparable matrices
- Recent advances in the study of a fourth-order compact scheme for the one-dimensional biharmonic equation
- Inversion of general tridiagonal matrices
- Navier-Stokes Equations in Planar Domains
- A Review on the Inverse of Symmetric Tridiagonal and Block Tridiagonal Matrices
- Discrete fourth-order Sturm–Liouville problems
- A Fast Direct Solver for the Biharmonic Problem in a Rectangular Grid
- Explicit inverses of some tridiagonal matrices
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