A sine transform based preconditioned MINRES method for all-at-once systems from constant and variable-coefficient evolutionary PDEs

Keyphrases

• All-at-once System 100%
• Backward Difference 50%
• Block Toeplitz 50%
• Block-circulant Preconditioners 50%
• Conjugate Gradient Method 50%
• Discrete Sine Transform 50%
• Discretize 50%
• Eigenvalues 100%
• Evolutionary Partial Differential Equations 50%
• Evolutionary PDEs 100%
• High-order 50%
• Large Classes 50%
• Linear Systems 50%
• Matrix Sequence 100%
• Minimal Residual Method 50%
• MINRES Method 100%
• Modified Matrix 50%
• Non-axisymmetric 50%
• Normal Equations 50%
• Numerical Examples 50%
• Preconditioned Krylov Subspace Methods 50%
• Preconditioned Matrix 100%
• Preconditioning Technique 50%
• Rapid Convergence 50%
• Sine Transform 100%
• Spectral Symbol 50%
• Symmetric Positive Definite 50%
• Time Discretization Scheme 50%
• Transform Matrix 50%

Mathematics

• Conjugate Gradient Method 25%
• Constant Coefficient 100%
• Discrete Sine Transform 25%
• Eigenvalue 50%
• Linear System 25%
• Main Result 25%
• Matrix (Mathematics) 100%
• Minimal Residual Method 25%
• Normal Equation 25%
• Numerical Example 25%
• Partial Differential Equation 100%
• Positive Definite 25%
• Sine Transform 100%
• Time Dependent Equation 25%
• Time Discretization 25%
• Variable Coefficient 100%
• Wide Range 25%