Article
Computer Science, Software Engineering
Shiqing Xin, Pengfei Wang, Rui Xu, Dongming Yan, Shuangmin Chen, Wenping Wang, Caiming Zhang, Changhe Tu
Summary: This paper proposes two key techniques for computing Voronoi diagrams over mesh surfaces using an arbitrary geodesic distance solver. The techniques involve minimizing distance fields rooted at source sites and using squared distances to characterize linear changes in distance fields within triangles. The algorithm is also extensible and supports various variants of surface-based Voronoi diagrams, with extensive experimental results validating its ability to approximate exact Voronoi diagrams in different distance-driven scenarios.
ACM TRANSACTIONS ON GRAPHICS
(2022)
Article
Computer Science, Software Engineering
Chen Zong, Pengfei Wang, Dong-Ming Yan, Shuangmin Chen, Shiqing Xin, Changhe Tu, Qiang Hu
Summary: In this paper, we address two commonly encountered issues in digital geometry processing, namely a site dominating multiple disconnected regions and a site dominating a kidney-shaped region. We propose improved solutions based on angle-based checking rules and the concept of virtual site. After post-processing, the improved Restricted Voronoi Diagram (RVD) exhibits higher quality compared to other methods and can be applied in intrinsic Delaunay triangulation (IDT) and centroidal Voronoi tessellation (CVT) based meshing.
COMPUTER-AIDED DESIGN
(2023)
Article
Computer Science, Software Engineering
Pengfei Wang, Zixiong Wang, Shiqing Xin, Xifeng Gao, Wenping Wang, Changhe Tu
Summary: This study introduces a robust explicit surface reconstruction method that can handle non-perfect inputs and generate high-quality surface meshes. By alternately performing Filmsticking and Sculpting steps, it minimizes the geometric distance between the surface mesh and the point cloud, initiating iteration from local minima points to achieve interpolation of all input points with stability.
ACM TRANSACTIONS ON GRAPHICS
(2022)
Article
Remote Sensing
Xiayin Lou, Min Sun, Shihao Yang
Summary: This study proposes a method for constructing fine-grained navigation networks in urban environments. It uses remote sensing images to estimate the traversability of grounds without roads and integrates this information with the urban road networks to generate a fine-grained navigation network. The experiments show that the proposed method effectively represents the traversability of grounds without roads and performs well in fine-grained path planning in urban areas.
INTERNATIONAL JOURNAL OF APPLIED EARTH OBSERVATION AND GEOINFORMATION
(2022)
Article
Computer Science, Software Engineering
Yunjia Qi, Chen Zong, Yunxiao Zhang, Shuangmin Chen, Minfeng Xu, Lingqiang Ran, Jian Xu, Shiqing Xin, Ying He
Summary: The geodesic Voronoi diagram (GVD) decomposes the base surface into separate regions based on geodesic distance to the generators. Straight-line distance is effective for computing GVDs when there are many generators, but for sparse generators, geodesic distance is required, resulting in high computational cost. By stretching ordinary segments and using an unfolding technique, our algorithm computes the GVD faster than the state-of-the-art method with the same accuracy level.
Article
Computer Science, Interdisciplinary Applications
Xin Wei, Yiren Sun, Hongren Gong, Yuhua Li, Jingyun Chen
Summary: A repartitioning-based aggregate generation method is proposed to establish three-dimensional mesostructure models of asphalt mixture. This method incorporates a stepwise partitioning procedure to control the sizes and shapes of Voronoi cells, resulting in realistic aggregates with expected gradations. Compared with other methods, this approach is faster in generating large-scale mesostructures with high aggregate content and can quantitatively explain the effects of mesostructural properties on the mechanical characteristics of asphalt concrete.
COMPUTERS & STRUCTURES
(2023)
Article
Computer Science, Software Engineering
Wenjuan Hou, Chen Zong, Pengfei Wang, Shiqing Xin, Shuangmin Chen, Guozhu Liu, Changhe Tu, Wenping Wang
Summary: Signed distance fields (SDFs) are a powerful surface representation that can be easily transformed into various other surface representations. In this study, the focus is on defining and computing Restricted Voronoi Diagrams (RVDs) based on SDF, named SDF-RVD. The authors show that SDF-RVD works well on different surface representations and can be combined with Centroidal Voronoi Tessellation (CVT) to generate high-quality triangulated meshes.
COMPUTER-AIDED DESIGN
(2022)
Review
Chemistry, Analytical
Sharmila Devi, Anju Sangwan, Anupma Sangwan, Mazin Abed Mohammed, Krishna Kumar, Jan Nedoma, Radek Martinek, Petr Zmij
Summary: This paper introduces the use of Computational Geometry-based techniques to improve the coverage and connectivity of Wireless Sensor Networks (WSNs), and surveys the existing research in this area.
Article
Mathematics, Applied
Yuta Mizuno, Mikoto Takigawa, Saki Miyashita, Yutaka Nagahata, Hiroshi Teramoto, Tamiki Komatsuzaki
Summary: An efficient sampling algorithm is proposed for computing reactive islands, which predict the fate of trajectories based on intersections of reactive trajectories and a Poincare surface of section. The algorithm estimates regions of reactive islands on the PSOS as a Voronoi diagram constructed from molecular dynamics trajectories, and iteratively refines boundaries of the estimated reactive islands efficiently.
PHYSICA D-NONLINEAR PHENOMENA
(2021)
Article
Computer Science, Interdisciplinary Applications
G. K. Sharma, B. Gurumoorthy
Summary: The proposed method finds the correct MAT points by searching for them in the vicinity of Voronoi vertices and identifying the corresponding footpoints, allowing for the determination of points on the medial axis without being influenced by sampling density.
JOURNAL OF COMPUTING AND INFORMATION SCIENCE IN ENGINEERING
(2021)
Article
Computer Science, Artificial Intelligence
Jinfei Liu, Juncheng Yang, Li Xiong, Jian Pei, Jun Luo, Yuzhang Guo, Shuaicheng Ma, Chenglin Fan
Summary: In this paper, a novel structure called the Skyline Diagram is proposed for partitioning the plane based on a set of points. Efficient algorithms are presented for building the diagram to accommodate various types of skyline queries. Experimental results demonstrate the efficiency and scalability of the algorithms proposed in this paper.
IEEE TRANSACTIONS ON KNOWLEDGE AND DATA ENGINEERING
(2021)
Article
Computer Science, Interdisciplinary Applications
Pooya Shivanasab, Rahim Ali Abbaspour
Summary: This paper introduces a new incremental algorithm with O(nlogn) complexity for constructing 2D Voronoi diagrams and Delaunay triangulations, and proposes a more cost-effective face-based data structure, allowing easy extraction of neighborhoods and geometric information.
ADVANCES IN ENGINEERING SOFTWARE
(2022)
Article
Mathematics
Merce Claverol, Clemens Huemer, Alejandra Martinez-Moraian
Summary: This study proves the specific properties of red and blue point sets on the plane, using higher order Voronoi diagrams. It also investigates the number of collinear edges in higher order Voronoi diagrams and provides specific constructions.
DISCRETE MATHEMATICS
(2021)
Article
Computer Science, Artificial Intelligence
Jie Pan, Jingwei Huang, Gengdong Cheng, Yong Zeng
Summary: This paper presents, implements, and evaluates a computational framework for automatic mesh generation based on reinforcement learning (RL). Mesh generation is crucial for numerical simulations in computer-aided design and engineering (CAD/E) and is considered a critical issue in the NASA CFD Vision 2030 Study. Existing mesh generation methods face challenges such as high computational complexity, low mesh quality in complex geometries, and limited speed. By formulating mesh generation as a Markov decision process (MDP), the paper applies a state-of-the-art RL algorithm called soft actor-critic to automatically learn the actions for mesh generation. The implementation of this RL algorithm enables the development of a fully automated mesh generation system without human intervention or additional clean-up operations, addressing the gaps in existing mesh generation tools.
Article
Computer Science, Software Engineering
Manoj Kumar Mukundan, Safeer Babu Thayyil, Ramanathan Muthuganapathy
Summary: We propose a parallel algorithm for computing the Voronoi diagram of a set of spheres with varying radii. The algorithm uses a two-stage iterative approach to compute each Voronoi cell independently and optimize the computation by utilizing an iterative lower envelope method restricted to subsets of spheres. Experimental results demonstrate the robustness and efficiency of the algorithm.
COMPUTERS & GRAPHICS-UK
(2022)
Article
Computer Science, Interdisciplinary Applications
Kaoutar Hazim, Guillaume Parent, Stephane Duchesne, Andre Nicolet, Christophe Geuzaine
Summary: This paper presents a method for modeling the three-dimensional twisted geometry of a twisted pair using two-dimensional finite elements in an electrostatic approximation. By utilizing a change of coordinates, this method offers faster computation time and higher accuracy, demonstrating effectiveness in studying the insulation properties of winding wires in electrical machines according to the IEC 60851-5 standard.
COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING
(2022)
Article
Computer Science, Interdisciplinary Applications
Bruno Levy
Summary: This article introduces a representation of dynamic meshes, which allows accurate control and computation of objects with free boundaries.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Physics, Multidisciplinary
Sebastian von Hausegger, Bruno Levy, Roya Mohayaee
Summary: Optimal transport theory has emerged as a resourceful field of mathematics with applications in physics and computer science. In this study, we present an efficient implementation for reconstructing the linear density field in cosmology, specifically targeting the recovery of the baryonic acoustic oscillation (BAO) scale. Our algorithm demonstrates improved accuracy in noiseless cosmological simulations, reducing uncertainties by a factor of 4.3 compared to no reconstruction and 3.1 compared to standard reconstruction.
PHYSICAL REVIEW LETTERS
(2022)
Article
Mathematics, Applied
David Gasperini, Hans-peter Biese, U. D. O. Schroeder, Xavier Antoine, Christophe Geuzaine
Summary: This paper proposes a finite element method in the frequency domain for solving scattering problems with moving or deforming boundaries. The original problem is rewritten as an equivalent weak formulation in a fixed domain. Then, a simpler weak form is approximated based on asymptotic expansions when the amplitude of the movements or deformations is small. Fourier series expansions are introduced to obtain a coupled multi-harmonic frequency domain formulation. Standard finite element methods can be applied to solve the resulting problem, and a block diagonal preconditioner is proposed to accelerate the Krylov subspace solution for high-frequency problems. The efficiency of the method is demonstrated on a radar sensing application for the automotive industry.
SIAM JOURNAL ON SCIENTIFIC COMPUTING
(2022)
Article
Mathematics, Applied
Ismail Badia, Boris Caudron, Xavier Antoine, Christophe Geuzaine
Summary: This paper proposes efficient weak coupling formulations between the boundary element method and the high-order finite element method for solving time-harmonic electromagnetic scattering problems. The approach is based on a nonoverlapping domain decomposition method involving optimal transmission operators, constructing transmission conditions through a localization process based on complex rational Pade' approximants of the nonlocal magnetic-to-electric operators.
SIAM JOURNAL ON SCIENTIFIC COMPUTING
(2022)
Article
Physics, Applied
M. Houbart, J-F Fagnard, J. Dular, A. R. Dennis, D. K. Namburi, J. H. Durrell, C. Geuzaine, B. Vanderheyden, P. Vanderbemden
Summary: This study experimentally investigates the assembly of large grain melt-textured superconductors with orthogonal c-axes to form a Halbach array structure. The experimental distribution of magnetic flux density above the array is compared to a similar array made of permanent magnets, and a simple analytical model is developed to accurately reproduce the main experimental observations. The results show that lowering the distance between the superconductors causes a redistribution of current and affects the magnetic flux density distribution.
SUPERCONDUCTOR SCIENCE & TECHNOLOGY
(2022)
Review
Environmental Sciences
Christian Brabant, Anton Geerinck, Charlotte Beaudart, Ezio Tirelli, Christophe Geuzaine, Olivier Bruyere
Summary: This study conducted a systematic review and meta-analysis to explore the relationship between childhood leukemia and extremely low frequency magnetic fields (ELF-MF). The results indicate that ELF-MF higher than 0.4 mu T may increase the risk of childhood leukemia, particularly acute lymphoblastic leukemia. Prolonged exposure to electric appliances that generate magnetic fields higher than 0.4 mu T like electric blankets is associated with a greater risk of childhood leukemia.
REVIEWS ON ENVIRONMENTAL HEALTH
(2023)
Article
Engineering, Electrical & Electronic
Matteo Cicuttin, Anthony Royer, Peter Binde, Christophe Geuzaine
Summary: This article discusses the implementation of DGTD for Maxwell's equations on modern GPUs and evaluates its performance in simulating electrostatic discharge.
IEEE TRANSACTIONS ON MAGNETICS
(2022)
Article
Engineering, Electrical & Electronic
Florent Purnode, Francois Henrotte, Francois Caire, Joaquim da Silva, Gilles Louppe, Christophe Geuzaine
Summary: This article presents a new approach using neural networks to determine material parameters in magnetodynamic problems with hysteresis. This method saves time and speeds up the modeling process.
IEEE TRANSACTIONS ON MAGNETICS
(2022)
Article
Engineering, Electrical & Electronic
Julien Dular, Kevin Berger, Christophe Geuzaine, Benoit Vanderheyden
Summary: In this paper, we discuss the relevance of various finite-element formulations for handling nonlinear systems containing high-temperature superconductors and ferromagnetic materials in a three-dimensional motor pole model. The formulations are evaluated based on their numerical robustness and efficiency. We propose a coupled h-phi-a formulation as the optimal choice, which successfully addresses the nonlinearities of HTS and FM while maintaining a low number of degrees of freedom (DOFs).
IEEE TRANSACTIONS ON MAGNETICS
(2022)
Article
Mathematics, Applied
D. Gasperini, H-P Beise, U. Schroeder, X. Antoine, C. Geuzaine
Summary: In this paper, the Cauchy integral theorem is utilized to develop the steepest descent method for efficiently computing the three-dimensional acoustic single-layer integral operator for large wave numbers. The explicit formulas for the splitting points are derived and the construction of admissible steepest descent paths is investigated. Based on the theoretical results, the quadrature scheme of the oscillatory integrals is derived in one dimension and extended to three-dimensional planar triangles. Numerical simulations are conducted to demonstrate the accuracy and efficiency of the proposed approach.
IMA JOURNAL OF NUMERICAL ANALYSIS
(2023)
Article
Energy & Fuels
Ali Dashti, Maziar Gholami Korzani, Christophe Geuzaine, Robert Egert, Thomas Kohl
Summary: Evaluation of underground processes requires sophisticated and reliable numerical modeling techniques. The new GeoMeshPy library focuses on discretizing probabilistic geological structures. This study showcases the library's ability to quantify the impact of structural uncertainty through the development of 50 models. These models calculate the recovery time and magnitude of tracer breakthrough in a faulted reservoir with unclear structure, revealing significant differences due to small angular variations in the faults.
Article
Physics, Multidisciplinary
Farnik Nikakhtar, Ravi K. Sheth, Bruno Levy, Roya Mohayaee
Summary: This study presents a fast optimal transport algorithm for reconstructing the Lagrangian positions of protohalos from their evolved Eulerian positions. It can handle errors in mass estimates and achieve subpercent precision in measuring the baryon acoustic oscillation distance scale. By using a more sophisticated dust model, it can estimate the displacement field accurately and provide new methods for determining the bias factor and smearing scale.
PHYSICAL REVIEW LETTERS
(2022)
Article
Computer Science, Interdisciplinary Applications
Theodore Cherriere, Luc Laurent, Sami Hlioui, Francois Louf, Pierre Duysinx, Christophe Geuzaine, Hamid Ben Ahmed, Mohamed Gabsi, Eduardo Fernandez
Summary: This study utilizes multi-material topology optimization to maximize the torque of a 3-phase permanent magnet synchronous machine, presenting a rational function penalty for meaningful structure convergence. Results show that a hexagonal-based diamond polytope is a better choice for this problem.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2022)
Article
Physics, Applied
Sebastien Brialmont, Julien Dular, Laurent Wera, Jean-Francois Fagnard, Benoit Vanderheyden, Christophe Geuzaine, Seungyong Hahn, Anup Patel, Philippe Vanderbemden
Summary: In this study, we demonstrated the magnetic shielding ability of a stack of YBa2Cu3O7 tape annuli. The annuli were cut from a second generation coated conductor deposited on a Ni-5at.%W alloy ferromagnetic substrate. The experiments showed that the stack of annuli could effectively shield both axial and transverse magnetic fields, and the presence of the ferromagnetic substrates played an important role in the shielding mechanism.
SUPERCONDUCTOR SCIENCE & TECHNOLOGY
(2023)
Article
Mathematics, Applied
M. S. Bruzon, T. M. Garrido, R. de la Rosa
Summary: We study a family of generalized Zakharov-Kuznetsov modified equal width equations in (2+1)-dimensions involving an arbitrary function and three parameters. By using the Lie group theory, we classify the Lie point symmetries of these equations and obtain exact solutions. We also show that this family of equations admits local low-order multipliers and derive all local low-order conservation laws through the multiplier approach.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2024)
Article
Mathematics, Applied
Dohee Jung, Changbum Chun
Summary: The paper presents a general approach to enhance the Pade iterations for computing the matrix sign function by selecting an arbitrary three-point family of methods based on weight functions. The approach leads to a multi-parameter family of iterations and allows for the discovery of new methods. Convergence and stability analysis as well as numerical experiments confirm the improved performance of the new methods.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2024)
Article
Mathematics, Applied
Abhishek Yadav, Amit Setia, M. Thamban Nair
Summary: In this paper, we propose a Galerkin's residual-based numerical scheme for solving a system of Cauchy-type singular integral equations using Chebyshev polynomials. We prove the well-posedness of the system and derive a theoretical error bound and convergence order. The numerical examples validate the theoretical results.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2024)
Article
Mathematics, Applied
Fernando Chacon-Gomez, M. Eugenia Cornejo, Jesus Medina, Eloisa Ramirez-Poussa
Summary: The use of decision rules allows for reliable extraction of information and inference of conclusions from relational databases, but the concepts of decision algorithms need to be extended in fuzzy environments.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2024)
Article
Mathematics, Applied
Ilhame Amirali, Gabil M. Amiraliyev
Summary: This paper considers the one-dimensional initial-boundary problem for a pseudoparabolic equation with a time delay. To solve this problem numerically, a higher-order difference method is constructed and the error estimate for its solution is obtained. Based on the method of energy estimates, the fully discrete scheme is shown to be convergent of order four in space and of order two in time. The given numerical results illustrate the convergence and effectiveness of the numerical method.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2024)
Article
Mathematics, Applied
Tong-tong Shang, Guo-ji Tang, Wen-sheng Jia
Summary: The goal of this paper is to investigate a class of linear complementarity problems over tensor-spaces, denoted by TLCP, which is an extension of the classical linear complementarity problem. First, two classes of structured tensors over tensor-spaces (i.e., T-R tensor and T-RO tensor) are introduced and some equivalent characterizations are discussed. Then, the lower bound and upper bound of the solutions in the sense of the infinity norm of the TLCP are obtained when the problem has a solution.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2024)
Article
Mathematics, Applied
Fabio Difonzo, Pawel Przybylowicz, Yue Wu
Summary: This paper focuses on the existence, uniqueness, and approximation of solutions of delay differential equations (DDEs) with Caratheodory type right-hand side functions. It presents the construction of the randomized Euler scheme for DDEs and investigates its error. Furthermore, the paper reports the results of numerical experiments.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2024)
Article
Mathematics, Applied
Priyanka Roy, Geetanjali Panda, Dong Qiu
Summary: In this article, a gradient based descent line search scheme is proposed for solving interval optimization problems under generalized Hukuhara differentiability. The innovation and importance of these concepts are presented from practical and computational perspectives. The necessary condition for existence of critical point is presented in inclusion form of interval-valued gradient. Suitable efficient descent direction is chosen based on the monotonic property of the interval-valued function and specific interval ordering. Mathematical convergence of the scheme is proved under the assumption of Inexact line search. The theoretical developments are implemented with a set of interval test problems in different dimensions. A possible application in finance is provided and solved by the proposed scheme.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2024)
Article
Mathematics, Applied
Zhongqian Wang, Changqing Ye, Eric T. Chung
Summary: In this paper, the constrained energy minimizing generalized multiscale finite element method (CEM-GMsFEM) with mixed boundary conditions for elasticity equations in high contrast media is developed. The method offers advantages such as independence of target region's contrast from precision and significant impact of oversampling domain sizes on numerical accuracy. Furthermore, this is the first proof of convergence of CEM-GMsFEM with mixed boundary conditions for elasticity equations. Numerical experiments demonstrate the method's performance.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2024)
Article
Mathematics, Applied
Samaneh Soradi-Zeid, Maryam Alipour
Summary: The Laguerre polynomials are a new set of basic functions used to solve a specific class of optimal control problems specified by integro-differential equations, namely IOCP. The corresponding operational matrices of derivatives are calculated to extend the solution of the problem in terms of Laguerre polynomials. By considering the basis functions and using the collocation method, the IOCP is simplified into solving a system of nonlinear algebraic equations. The proposed method has been proven to have an error bound and convergence analysis for the approximate optimal value of the performance index. Finally, examples are provided to demonstrate the validity and applicability of this technique.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2024)
Article
Mathematics, Applied
Almudena P. Marquez, Maria L. Gandarias, Stephen C. Anco
Summary: A generalization of the KP equation involving higher-order dispersion is studied. The Lie point symmetries and conservation laws of the equation are obtained using Noether's theorem and the introduction of a potential. Sech-type line wave solutions are found and their features, including dark solitary waves on varying backgrounds, are discussed.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2024)
Article
Mathematics, Applied
Susanne Saminger-Platz, Anna Kolesarova, Adam Seliga, Radko Mesiar, Erich Peter Klement
Summary: In this article, we study real functions defined on the unit square satisfying basic properties and explore the conditions for generating bivariate copulas using parameterized transformations and other constructions.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2024)
Article
Mathematics, Applied
Lulu Tian, Nattaporn Chuenjarern, Hui Guo, Yang Yang
Summary: In this paper, a new local discontinuous Galerkin (LDG) algorithm is proposed to solve the incompressible Euler equation in two dimensions on overlapping meshes. The algorithm solves the vorticity, velocity field, and potential function on different meshes. The method employs overlapping meshes to ensure continuity of velocity along the interfaces of the primitive meshes, allowing for the application of upwind fluxes. The article introduces two sufficient conditions to maintain the maximum principle of vorticity.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2024)
Article
Mathematics, Applied
Cheng Wang, Jilu Wang, Steven M. Wise, Zeyu Xia, Liwei Xu
Summary: In this paper, a temporally second-order accurate numerical scheme for the Cahn-Hilliard-Magnetohydrodynamics system of equations is proposed and analyzed. The scheme utilizes a modified Crank-Nicolson-type approximation for time discretization and a mixed finite element method for spatial discretization. The modified Crank-Nicolson approximation allows for mass conservation and energy stability analysis. Error estimates are derived for the phase field, velocity, and magnetic fields, and numerical examples are presented to validate the proposed scheme's theoretical results.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2024)
Article
Mathematics, Applied
Mingyu He, Wenyuan Liao
Summary: This paper presents a numerical method for solving reaction-diffusion equations in spatially heterogeneous domains, which are commonly used to model biological applications. The method utilizes a fourth-order compact alternative directional implicit scheme based on Pade approximation-based operator splitting techniques. Stability analysis shows that the method is unconditionally stable, and numerical examples demonstrate its high efficiency and high order accuracy in both space and time.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2024)
