Numerical Mathematics-Theory Methods and Applications

Papers
(The TQCC of Numerical Mathematics-Theory Methods and Applications is 2. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-03-01 to 2024-03-01.)
ArticleCitations
A Novel Numerical Approach to Time-Fractional Parabolic Equations with Nonsmooth Solutions40
A Note on Parallel Preconditioning for the All-at-Once Solution of Riesz Fractional Diffusion Equations23
Spectral Analysis for Preconditioning of Multi-Dimensional Riesz Fractional Diffusion Equations18
A Survey of the L1 Scheme in the Discretisation of Time-Fractional Problems18
Linearized Transformed $L1$ Galerkin FEMs with Unconditional Convergence for Nonlinear Time Fractional Schrödinger Equations11
Convergence Analysis of a Numerical Scheme for the Porous Medium Equation by an Energetic Variational Approach10
The Variable-Step L1 Scheme Preserving a Compatible Energy Law for Time-Fractional Allen-Cahn Equation9
A Third Order Accurate in Time, BDF-Type Energy Stable Scheme for the Cahn-Hilliard Equation9
One-Step Hybrid Block Method Containing Third Derivatives and Improving Strategies for Solving Bratu’s and Troesch’s Problems8
Finite Element Approximation of Space Fractional Optimal Control Problem with Integral State Constraint8
Error Analysis of SAV Finite Element Method to Phase Field Crystal Model7
Convergence of the Peaceman-Rachford Splitting Method for a Class of Nonconvex Programs7
Numerical Analysis of a High-Order Scheme for Nonlinear Fractional Differential Equations with Uniform Accuracy7
The Generalized Order Tensor Complementarity Problems7
Effect of Space Dimensions on Equilibrium Solutions of Cahn--Hilliard and Conservative Allen--Cahn Equations6
An Efficient Mapped WENO Scheme Using Approximate Constant Mapping6
A Unified Fast Memory-Saving Time-Stepping Method for Fractional Operators and Its Applications6
A Novel Class of Energy-Preserving Runge-Kutta Methods for the Korteweg-de Vries Equation6
Fast Second-Order Evaluation for Variable-Order Caputo Fractional Derivative with Applications to Fractional Sub-Diffusion Equations6
Improved 3D Surface Reconstruction via the Method of Fundamental Solutions5
A Two-Grid Algorithm of Fully Discrete Galerkin Finite Element Methods for a Nonlinear Hyperbolic Equation5
Convergence and Stability of the Truncated Euler-Maruyama Method for Stochastic Differential Equations with Piecewise Continuous Arguments5
Numerical Investigation of Sound Generation due to Laminar Flow Past Elliptic Cylinders5
Two-Grid Finite Element Method with Crank-Nicolson Fully Discrete Scheme for the Time-Dependent Schrodinger Equation5
Two-Phase Image Segmentation by the Allen-Cahn Equation and a Nonlocal Edge Detection Operator5
Numerical Analysis of a Dynamic Contact Problem with History-Dependent Operators5
A New Ensemble HDG Method for Parameterized Convection Diffusion PDEs5
A Dynamical Method for Solving the Obstacle Problem5
Fast Evaluation of Linear Combinations of Caputo Fractional Derivatives and Its Applications to Multi-Term Time-Fractional Sub-Diffusion Equations4
Numerical Solution of a One-Dimensional Nonlocal Helmholtz Equation by Perfectly Matched Layers4
On Nonnegative Solution of Multi-Linear System with Strong $\mathcal{M}_z$-Tensors4
Generalized Singular Value Decompositions for Tensors and Their Applications4
Solution Remapping Technique to Accelerate Flow Convergence for Finite Volume Methods Applied to Shape Optimization Design4
A Stabilized Low Order Finite Element Method for Three Dimensional Elasticity Problems3
A High-Order Kernel-Free Boundary Integral Method for Incompressible Flow Equations in Two Space Dimensions3
A Continuous-Stage Modified Leap-Frog Scheme for High-Dimensional Semi-Linear Hamiltonian Wave Equations3
The Conservation and Convergence of Two Finite Difference Schemes for KdV Equations with Initial and Boundary Value Conditions3
A Linear Hybridization of Dai-Yuan and Hestenes-Stiefel Conjugate Gradient Method for Unconstrained Optimization3
On a Parabolic Sine-Gordon Model3
A Well-Conditioned, Nonconforming Nitsche's Extended Finite Element Method for Elliptic Interface Problems3
A Vertex-Centered and Positivity-Preserving Finite Volume Scheme for Two-Dimensional Three-Temperature Radiation Diffusion Equations on General Polygonal Meshes3
New Sixth-Order Compact Schemes for Poisson/Helmholtz Equations2
An Adaptive Nonmonotone Projected Barzilai-Borwein Gradient Method with Active Set Prediction for Nonnegative Matrix Factorization2
Explicit Hybrid Numerical Method for the Allen-Cahn Type Equations on Curved Surfaces2
Phase-Field Modeling and Numerical Simulation for Ice Melting2
Stability and Convergence Analyses of the FDM Based on Some L-Type Formulae for Solving the Subdiffusion Equation2
A Second-Order Semi-Implicit Method for the Inertial Landau-Lifshitz-Gilbert Equation2
A Robust Modified Weak Galerkin Finite Element Method for Reaction-Diffusion Equations2
Generating Layer-Adapted Meshes Using Mesh Partial Differential Equations2
On the Evolutionary Dynamics of the Cahn-Hilliard Equation with Cut-Off Mass Source2
A Simple Semi-Implicit Scheme for Partial Differential Equations with Obstacle Constraints2
Variant of Greedy Randomized Gauss-Seidel Method for Ridge Regression2
Low Regularity Error Analysis for Weak Galerkin Finite Element Methods for Second Order Elliptic Problems2
Accelerated Non-Overlapping Domain Decomposition Method for Total Variation Minimization2
Mean-Square Approximation of Navier-Stokes Equations with Additive Noise in Vorticity-Velocity Formulation2
L1/Local Discontinuous Galerkin Method for the Time-Fractional Stokes Equation2
Galerkin Finite Element Approximation for Semilinear Stochastic Time-Tempered Fractional Wave Equations with Multiplicative Gaussian Noise and Additive Fractional Gaussian Noise2
A Second-Order Synchrosqueezing Transform with a Simple Form of Phase Transformation2
Effect of Flux Evaluation Methods on the Resolution and Robustness of the Two-Step Finite-Difference WENO Scheme2
Newton Linearized Methods for Semilinear Parabolic Equations2
Mathematical Modeling and Simulation of Antibubble Dynamics2
On Discontinuous and Continuous Approximations to Second-Kind Volterra Integral Equations2
Multidomain Legendre-Galerkin Least-Squares Method for Linear Differential Equations with Variable Coefficients2
On the Construction and Analysis of Finite Volume Element Schemes with Optimal $L^2$ Convergence Rate2
A Fast Symmetric Alternating Direction Method of Multipliers2
A High-Order Piecewise Quartic Spline Rule for Hadamard Integral and Its Application of the Cavity Scattering2
A Linearized Spectral-Galerkin Method for Three-Dimensional Riesz-Like Space Fractional Nonlinear Coupled Reaction-Diffusion Equations2
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