Communications on Applied Mathematics and Computation
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On Minimization of Upper Bound for the Convergence Rate of the QHSS Iteration Method
Communications on Applied Mathematics and Computation - Tập 1 Số 2 - Trang 263-282 - 2019
A High-Order Semi-Lagrangian Finite Difference Method for Nonlinear Vlasov and BGK Models
Communications on Applied Mathematics and Computation - Tập 5 - Trang 170-198 - 2022
In this paper, we propose a new conservative high-order semi-Lagrangian finite difference (SLFD) method to solve linear advection equation and the nonlinear Vlasov and BGK models. The finite difference scheme has better computational flexibility by working with point values, especially when working with high-dimensional problems in an operator splitting setting. The reconstruction procedure in the...... hiện toàn bộ
A New Sixth-Order WENO Scheme for Solving Hyperbolic Conservation Laws
Communications on Applied Mathematics and Computation - - 2023
A Unified Petrov–Galerkin Spectral Method and Fast Solver for Distributed-Order Partial Differential Equations
Communications on Applied Mathematics and Computation - Tập 3 - Trang 61-90 - 2020
Fractional calculus and fractional-order modeling provide effective tools for modeling and simulation of anomalous diffusion with power-law scalings. In complex multi-fractal anomalous transport phenomena, distributed-order partial differential equations appear as tractable mathematical models, where the underlying derivative orders are distributed over a range of values, hence taking into account...... hiện toàn bộ
A Blade Altering Toolbox for Automating Rotor Design OptimizationAbstract The Blade Altering Toolbox (BAT) described in this paper is a tool designed for fast reconstruction of an altered blade geometry for design optimization purposes. The BAT algorithm is capable of twisting a given rotor’s angle of attack and stretching the chord length along the span of the rotor. Several test cases were run using the BAT’s algorithm. The BAT... ... hiện toàn bộ
Communications on Applied Mathematics and Computation - - 2024
Two Structure-Preserving-Doubling Like Algorithms to Solve the Positive Definite Solution of the Equation $$X-{A^{\rm{H}}}{\overline{X}}^{-1}A=Q$$
Communications on Applied Mathematics and Computation - Tập 3 - Trang 123-135 - 2020
In this paper, we study the nonlinear matrix equation
$$X-{A^{\rm{H}}}{\overline{X}}^{-1}A=Q$$
, where
$$A,Q \in {{\mathbb {C}}}^{n\times n}$$
, Q is a Hermitian positive definite matrix and
...... hiện toàn bộ
Constructing a CDG Finite Element with Order Two Superconvergence on Rectangular Meshes
Communications on Applied Mathematics and Computation - - Trang 1-15 - 2023
A novel conforming discontinuous Galerkin (CDG) finite element method is introduced for Poisson equation on rectangular meshes. This CDG method with discontinuous
$$P_k$$
(
$$k\geqslant 1$$
) elements converges to the true...... hiện toàn bộ
High-Order Decoupled and Bound Preserving Local Discontinuous Galerkin Methods for a Class of Chemotaxis Models
Communications on Applied Mathematics and Computation - Tập 6 Số 1 - Trang 372-398 - 2024
High Order ADER-IPDG Methods for the Unsteady Advection-Diffusion Equation
Communications on Applied Mathematics and Computation -
A Simple Embedding Method for the Laplace-Beltrami Eigenvalue Problem on Implicit Surfaces
Communications on Applied Mathematics and Computation -
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