scholarly journals An Algorithm for Strong Stability in the Student-Project Allocation Problem with Ties

2020 ◽  
pp. 384-399
Author(s):  
Sofiat Olaosebikan ◽  
David Manlove
Keyword(s):  
Strong Stability ◽  
Allocation Problem

Finite Methods for a Nonlinear Allocation Problem

1989 ◽  
Author(s):  
Alan R. Washburn
Keyword(s):  
Allocation Problem

Location and allocation problem for spare parts depots on integrated logistics support

2019 ◽  
Vol 30 (6) ◽  
pp. 1252-1259
Author(s):  
Meilin WEN ◽  
Bohan LU ◽  
Shuyu LI ◽  
Rui KANG
Keyword(s):  
Spare Parts ◽  
Allocation Problem ◽  
Integrated Logistics

scholarly journals Krylov SSP Integrating Factor Runge–Kutta WENO Methods

Mathematics ◽  
2021 ◽  
Vol 9 (13) ◽  
pp. 1483
Author(s):  
Shanqin Chen
Keyword(s):  
Large Time ◽  
Hyperbolic Equations ◽  
Strong Stability ◽  
Matrix Exponential ◽  
Linear Component ◽  
Nonlinear Hyperbolic Equations ◽  
Time Step ◽  
Integrating Factor ◽  
The Matrix ◽  
Runge Kutta

Weighted essentially non-oscillatory (WENO) methods are especially efficient for numerically solving nonlinear hyperbolic equations. In order to achieve strong stability and large time-steps, strong stability preserving (SSP) integrating factor (IF) methods were designed in the literature, but the methods there were only for one-dimensional (1D) problems that have a stiff linear component and a non-stiff nonlinear component. In this paper, we extend WENO methods with large time-stepping SSP integrating factor Runge–Kutta time discretization to solve general nonlinear two-dimensional (2D) problems by a splitting method. How to evaluate the matrix exponential operator efficiently is a tremendous challenge when we apply IF temporal discretization for PDEs on high spatial dimensions. In this work, the matrix exponential computation is approximated through the Krylov subspace projection method. Numerical examples are shown to demonstrate the accuracy and large time-step size of the present method.

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