Computational Methods in Applied Mathematics

Papers
(The TQCC of Computational Methods in Applied Mathematics 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 2020-05-01 to 2024-05-01.)
ArticleCitations
On Split Monotone Variational Inclusion Problem with Multiple Output Sets with Fixed Point Constraints19
Energy Contraction and Optimal Convergence of Adaptive Iterative Linearized Finite Element Methods15
Robust Hybrid High-Order Method on Polytopal Meshes with Small Faces14
A Priori and a Posteriori Error Analysis of the Crouzeix–Raviart and Morley FEM with Original and Modified Right-Hand Sides12
Reliability and Efficiency of DWR-Type A Posteriori Error Estimates with Smart Sensitivity Weight Recovering10
Quasi-Optimal and Pressure Robust Discretizations of the Stokes Equations by Moment- and Divergence-Preserving Operators10
Defects in Active Nematics – Algorithms for Identification and Tracking9
Adaptive Space-Time Finite Element Methods for Non-autonomous Parabolic Problems with Distributional Sources9
An Exact Realization of a Modified Hilbert Transformation for Space-Time Methods for Parabolic Evolution Equations9
Two Finite Difference Schemes for Multi-Dimensional Fractional Wave Equations with Weakly Singular Solutions9
On the Energy Stable Approximation of Hamiltonian and Gradient Systems8
Uniform Preconditioners of Linear Complexity for Problems of Negative Order8
Application of Fourier Truncation Method to Numerical Differentiation for Bivariate Functions7
Using Complete Monotonicity to Deduce Local Error Estimates for Discretisations of a Multi-Term Time-Fractional Diffusion Equation7
Kernel Embedding Based Variational Approach for Low-Dimensional Approximation of Dynamical Systems6
A Finite Element Method for Elliptic Dirichlet Boundary Control Problems6
Optimal Convergence Rates for Goal-Oriented FEM with Quadratic Goal Functional6
An Adaptive Finite Element Scheme for the Hellinger–Reissner Elasticity Mixed Eigenvalue Problem5
Hierarchical Argyris Finite Element Method for Adaptive and Multigrid Algorithms5
Optimal Convergence of the Newton Iterative Crank–Nicolson Finite Element Method for the Nonlinear Schrödinger Equation5
Fast Tensor Product Schwarz Smoothers for High-Order Discontinuous Galerkin Methods5
A Shift Splitting Iteration Method for Generalized Absolute Value Equations4
Local Discontinuous Galerkin Method for Time-Dependent Singularly Perturbed Semilinear Reaction-Diffusion Problems4
A Numerical Assessment of Finite Element Discretizations for Convection-Diffusion-Reaction Equations Satisfying Discrete Maximum Principles4
An ??-DPG Method with Application to 2D Convection-Diffusion Problems4
Tensor-Product Space-Time Goal-Oriented Error Control and Adaptivity With Partition-of-Unity Dual-Weighted Residuals for Nonstationary Flow Problems4
Robust Discretization and Solvers for Elliptic Optimal Control Problems with Energy Regularization4
Implicit/Explicit, BEM/FEM Coupled Scheme for Acoustic Waves with the Wave Equation in the Second Order Formulation4
A Finite Element Splitting Method for a Convection-Diffusion Problem3
A Priori Analysis of a Symmetric Interior Penalty Discontinuous Galerkin Finite Element Method for a Dynamic Linear Viscoelasticity Model3
Error Analysis of Nitsche’s and Discontinuous Galerkin Methods of a Reduced Landau–de Gennes Problem3
Discontinuous Galerkin Methods with Time-Operators in Their Numerical Traces for Time-Dependent Electromagnetics3
Convergence Theory for IETI-DP Solvers for Discontinuous Galerkin Isogeometric Analysis that is Explicit in ℎ and ?3
The Tracking of Derivative Discontinuities for Delay Fractional Equations Based on Fitted L1 Method3
A Semi-Uniform Multigrid Algorithm for Solving Elliptic Interface Problems3
Analysis of Backward Euler Primal DPG Methods3
Robust Finite Element Discretization and Solvers for Distributed Elliptic Optimal Control Problems3
A First-Order Explicit-Implicit Splitting Method for a Convection-Diffusion Problem3
An Efficient Numerical Method for Time Domain Electromagnetic Wave Propagation in Co-axial Cables3
The Time Domain Linear Sampling Method for Determining the Shape of Multiple Scatterers Using Electromagnetic Waves3
A Locking-Free DPG Scheme for Timoshenko Beams3
Robust Iterative Solvers for Gao Type Nonlinear Beam Models in Elasticity3
Numerical Analysis of a Stable Finite Volume Scheme for a Generalized Thermistor Model3
Reliable Computer Simulation Methods for Electrostatic Biomolecular Models Based on the Poisson–Boltzmann Equation3
?(curl 2)-Conforming Spectral Element Method for Quad-Curl Problems3
Integral Representations and Quadrature Schemes for the Modified Hilbert Transformation3
A Second-Order Difference Scheme for Generalized Time-Fractional Diffusion Equation with Smooth Solutions3
Guaranteed Lower Eigenvalue Bounds for Steklov Operators Using Conforming Finite Element Methods3
Fast Barrier Option Pricing by the COS BEM Method in Heston Model (with Matlab Code)3
Simultaneous Inversion of the Space-Dependent Source Term and the Initial Value in a Time-Fractional Diffusion Equation2
A Totally Relaxed, Self-Adaptive Subgradient Extragradient Method for Variational Inequality and Fixed Point Problems in a Banach Space2
Error Estimates for FE-BE Coupling of Scattering of Waves in the Time Domain2
Fully Discrete Finite Element Approximation of the MHD Flow2
A Novel Study Based on Shifted Jacobi Polynomials to Find the Numerical Solutions of Nonlinear Stochastic Differential Equations Driven by Fractional Brownian Motion2
CVEM-BEM Coupling for the Simulation of Time-Domain Wave Fields Scattered by Obstacles with Complex Geometries2
Error Analysis of an Unconditionally Energy Stable Local Discontinuous Galerkin Scheme for the Cahn–Hilliard Equation with Concentration-Dependent Mobility2
Sparse Data-Driven Quadrature Rules via ℓ p -Quasi-Norm Minimization2
Local Discontinuous Galerkin Method for a Third-Order Singularly Perturbed Problem of Convection-Diffusion Type2
Some Estimates for Virtual Element Methods in Three Dimensions2
A Differentiable Mapping of Mesh Cells Based on Finite Elements on Quadrilateral and Hexahedral Meshes2
On the Threshold Condition for Dörfler Marking2
Korn’s Inequality and Eigenproblems for the Lamé Operator2
Finite Difference Method on Non-Uniform Meshes for Time Fractional Diffusion Problem2
Smoothed-Adaptive Perturbed Inverse Iteration for Elliptic Eigenvalue Problems2
Error Estimation and Adaptivity for Differential Equations with Multiple Scales in Time2
Spurious Resonances in Coupled Domain-Boundary Variational Formulations of Transmission Problems in Electromagnetism and Acoustics2
Dimensionally Consistent Preconditioning for Saddle-Point Problems2
A Gradient Discretisation Method for Anisotropic Reaction–Diffusion Models with Applications to the Dynamics of Brain Tumors2
Numerical Analysis of a Finite Element Approximation to a Level Set Model for Free-Surface Flows2
Partially Discontinuous Nodal Finite Elements for ?(curl) and ?(div)2
BEM-Based Magnetic Field Reconstruction by Ensemble Kálmán Filtering2
Improving Regularization Techniques for Incompressible Fluid Flows via Defect Correction2
Dual-Weighted Residual A Posteriori Error Estimates for a Penalized Phase-Field Slit Discontinuity Problem2
Partial Relaxation of ?0 Vertex Continuity of Stresses of Conforming Mixed Finite Elements for the Elasticity Problem2
Wave Propagation in High-Contrast Media: Periodic and Beyond2
Identification of Matrix Diffusion Coefficient in a Parabolic PDE2
FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert Equations via Convolution Quadrature: Weak Form and Numerical Approximation2
Discontinuous Petrov–Galerkin Approximation of Eigenvalue Problems2
A ?1 Finite Element Method for a Distributed Elliptic Optimal Control Problem with a General State Equation and Pointwise State Constraints2
On the Spectrum of an Operator Associated with Least-Squares Finite Elements for Linear Elasticity2
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