A new double-step method for solving complex Helmholtz equation

DOI10.15672/hujms.494876zbMath1478.65102OpenAlexW2995278824MaRDI QIDQ5162948

Davod Khojasteh Salkuyeh, Tahereh Salimi Siahkoalaei

Publication date: 8 November 2021

Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15672/hujms.494876

zbMATH Keywords

iterative methodsymmetric positive definitecomplex linear systemscomplex Helmholtz equationdouble-step method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items

Efficient iteration methods for complex systems with an indefinite matrix term, A new two-parameter iteration method for indefinite complex symmetric linear systems

Cites Work

• Unnamed Item
• A new iterative method for solving a class of complex symmetric system of linear equations
• On preconditioned MHSS iteration methods for complex symmetric linear systems
• Modified HSS iteration methods for a class of complex symmetric linear systems
• Numerical solution of the coupled model equations in duct acoustics
• Two-parameter TSCSP method for solving complex symmetric system of linear equations
• A new iteration method for a class of complex symmetric linear systems
• Double-step scale splitting iteration method for a class of complex symmetric linear systems
• On inexact Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems
• On generalized successive overrelaxation methods for augmented linear systems
• Preconditioned GSOR iterative method for a class of complex symmetric system of linear equations
• Block preconditioning of real-valued iterative algorithms for complex linear systems
• Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
• Real valued iterative methods for solving complex symmetric linear systems
• Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems
• Generalized successive overrelaxation iterative method for a class of complex symmetric linear system of equations
• Methods of conjugate gradients for solving linear systems