Computational Methods in Applied Mathematics

Papers
(The median citation count of Computational Methods in Applied Mathematics is 1. 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
Energy Contraction and Optimal Convergence of Adaptive Iterative Linearized Finite Element Methods15
Robust Hybrid High-Order Method on Polytopal Meshes with Small Faces14
On Split Monotone Variational Inclusion Problem with Multiple Output Sets with Fixed Point Constraints13
A Priori and a Posteriori Error Analysis of the Crouzeix–Raviart and Morley FEM with Original and Modified Right-Hand Sides11
Defects in Active Nematics – Algorithms for Identification and Tracking9
Two Finite Difference Schemes for Multi-Dimensional Fractional Wave Equations with Weakly Singular Solutions9
An Exact Realization of a Modified Hilbert Transformation for Space-Time Methods for Parabolic Evolution Equations9
Quasi-Optimal and Pressure Robust Discretizations of the Stokes Equations by Moment- and Divergence-Preserving Operators9
Reliability and Efficiency of DWR-Type A Posteriori Error Estimates with Smart Sensitivity Weight Recovering9
On the Energy Stable Approximation of Hamiltonian and Gradient Systems8
Adaptive Space-Time Finite Element Methods for Non-autonomous Parabolic Problems with Distributional Sources8
Uniform Preconditioners of Linear Complexity for Problems of Negative Order8
Using Complete Monotonicity to Deduce Local Error Estimates for Discretisations of a Multi-Term Time-Fractional Diffusion Equation7
Application of Fourier Truncation Method to Numerical Differentiation for Bivariate Functions7
A Finite Element Method for Elliptic Dirichlet Boundary Control Problems6
Optimal Convergence Rates for Goal-Oriented FEM with Quadratic Goal Functional6
Kernel Embedding Based Variational Approach for Low-Dimensional Approximation of Dynamical Systems6
Morley FEM for a Distributed Optimal Control Problem Governed by the von Kármán Equations5
Fast Tensor Product Schwarz Smoothers for High-Order Discontinuous Galerkin Methods5
Optimal Convergence of the Newton Iterative Crank–Nicolson Finite Element Method for the Nonlinear Schrödinger Equation5
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
Hierarchical Argyris Finite Element Method for Adaptive and Multigrid Algorithms4
An Adaptive Finite Element Scheme for the Hellinger–Reissner Elasticity Mixed Eigenvalue Problem4
Implicit/Explicit, BEM/FEM Coupled Scheme for Acoustic Waves with the Wave Equation in the Second Order Formulation4
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 ??-DPG Method with Application to 2D Convection-Diffusion Problems3
Convergence Theory for IETI-DP Solvers for Discontinuous Galerkin Isogeometric Analysis that is Explicit in ℎ and ?3
Analysis of Backward Euler Primal DPG Methods3
A Finite Element Splitting Method for a Convection-Diffusion Problem3
A New Mixed Functional-probabilistic Approach for Finite Element Accuracy3
Robust Discretization and Solvers for Elliptic Optimal Control Problems with Energy Regularization3
?(curl 2)-Conforming Spectral Element Method for Quad-Curl Problems3
A Second-Order Difference Scheme for Generalized Time-Fractional Diffusion Equation with Smooth Solutions3
A Locking-Free DPG Scheme for Timoshenko Beams3
Robust Iterative Solvers for Gao Type Nonlinear Beam Models in Elasticity3
Reliable Computer Simulation Methods for Electrostatic Biomolecular Models Based on the Poisson–Boltzmann Equation3
Error Analysis of Nitsche’s and Discontinuous Galerkin Methods of a Reduced Landau–de Gennes 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 Semi-Uniform Multigrid Algorithm for Solving Elliptic Interface Problems3
Numerical Analysis of a Stable Finite Volume Scheme for a Generalized Thermistor Model3
Error Estimates for FE-BE Coupling of Scattering of Waves in the Time Domain2
Fast Barrier Option Pricing by the COS BEM Method in Heston Model (with Matlab Code)2
Partial Relaxation of ?0 Vertex Continuity of Stresses of Conforming Mixed Finite Elements for the Elasticity Problem2
A Novel Study Based on Shifted Jacobi Polynomials to Find the Numerical Solutions of Nonlinear Stochastic Differential Equations Driven by Fractional Brownian Motion2
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
Local Discontinuous Galerkin Method for a Third-Order Singularly Perturbed Problem of Convection-Diffusion Type2
On the Spectrum of an Operator Associated with Least-Squares Finite Elements for Linear Elasticity2
Integral Representations and Quadrature Schemes for the Modified Hilbert Transformation2
A Totally Relaxed, Self-Adaptive Subgradient Extragradient Method for Variational Inequality and Fixed Point Problems in a Banach Space2
Korn’s Inequality and Eigenproblems for the Lamé Operator2
Dual-Weighted Residual A Posteriori Error Estimates for a Penalized Phase-Field Slit Discontinuity Problem2
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
FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert Equations via Convolution Quadrature: Weak Form and Numerical Approximation2
A Gradient Discretisation Method for Anisotropic Reaction–Diffusion Models with Applications to the Dynamics of Brain Tumors2
Sparse Data-Driven Quadrature Rules via ℓ p -Quasi-Norm Minimization2
Some Estimates for Virtual Element Methods in Three Dimensions2
Partially Discontinuous Nodal Finite Elements for ?(curl) and ?(div)2
Improving Regularization Techniques for Incompressible Fluid Flows via Defect Correction2
Tensor-Product Space-Time Goal-Oriented Error Control and Adaptivity With Partition-of-Unity Dual-Weighted Residuals for Nonstationary Flow Problems2
Finite Difference Method on Non-Uniform Meshes for Time Fractional Diffusion Problem2
Identification of Matrix Diffusion Coefficient in a Parabolic PDE2
Dimensionally Consistent Preconditioning for Saddle-Point Problems2
Smoothed-Adaptive Perturbed Inverse Iteration for Elliptic Eigenvalue Problems2
A ?1 Finite Element Method for a Distributed Elliptic Optimal Control Problem with a General State Equation and Pointwise State Constraints2
Numerical Analysis of a Finite Element Approximation to a Level Set Model for Free-Surface Flows2
Discontinuous Galerkin Methods with Time-Operators in Their Numerical Traces for Time-Dependent Electromagnetics2
On the Threshold Condition for Dörfler Marking2
The DPG Method for the Convection-Reaction Problem, Revisited1
A Priori Analysis of a Symmetric Interior Penalty Discontinuous Galerkin Finite Element Method for a Dynamic Linear Viscoelasticity Model1
A Boundary Integral Formulation and a Topological Energy-Based Method for an Inverse 3D Multiple Scattering Problem with Sound-Soft, Sound-Hard, Penetrable, and Absorbing Objects1
A Time-Adaptive Space-Time FMM for the Heat Equation1
An Improvement on a Class of Fixed Point Iterative Methods for Solving Absolute Value Equations1
Novel Adaptive Hybrid Discontinuous Galerkin Algorithms for Elliptic Problems1
Fully Discrete Finite Element Approximation of the MHD Flow1
Force Computation for Dielectrics Using Shape Calculus1
Implicit Runge–Kutta Schemes for Optimal Control Problems with Evolution Equations1
A Domain Decomposition Scheme for Couplings Between Local and Nonlocal Equations1
Coupling of Finite and Boundary Elements for Singularly Nonlinear Transmission and Contact Problems1
Multiscale Sub-grid Correction Method for Time-Harmonic High-Frequency Elastodynamics with Wave Number Explicit Bounds1
BEM-Based Magnetic Field Reconstruction by Ensemble Kálmán Filtering1
Spectral, Tensor and Domain Decomposition Methods for Fractional PDEs1
A Discontinuous Galerkin Method for the Stationary Boussinesq System1
Anisotropic Adaptive Finite Elements for an Elliptic Problem with Strongly Varying Diffusion Coefficient1
Multi-Scale Paraxial Models to Approximate Vlasov–Maxwell Equations1
Low-Regularity Integrator for the Davey–Stewartson System: Elliptic-Elliptic Case1
A Symmetric Interior Penalty Method for an Elliptic Distributed Optimal Control Problem with Pointwise State Constraints1
Discontinuous Petrov–Galerkin Approximation of Eigenvalue Problems1
A Space-Time Adaptive Algorithm to Illustrate the Lack of Collision of a Rigid Disk Falling in an Incompressible Fluid1
Developments on the Stability of the Non-symmetric Coupling of Finite and Boundary Elements1
An Interior Maximum Norm Error Estimate for the Symmetric Interior Penalty Method on Planar Polygonal Domains1
Contractive Local Adaptive Smoothing Based on Dörfler’s Marking in A-Posteriori-Steered p-Robust Multigrid Solvers1
Approximate Deconvolution with Correction – A High Fidelity Model for Magnetohydrodynamic Flows at High Reynolds and Magnetic Reynolds Numbers1
Stable Implementation of Adaptive IGABEM in 2D in MATLAB1
Novel Raviart–Thomas Basis Functions on Anisotropic Finite Elements1
A General Superapproximation Result1
Qualitative Properties of Space-Dependent SIR Models with Constant Delay and Their Numerical Solutions1
Bernoulli Free Boundary Problems Under Uncertainty: The Convex Case1
A Differentiable Mapping of Mesh Cells Based on Finite Elements on Quadrilateral and Hexahedral Meshes1
An Optimal Multilevel Method with One Smoothing Step for the Morley Element1
A Cost-Efficient Space-Time Adaptive Algorithm for Coupled Flow and Transport1
Guaranteed Lower Eigenvalue Bounds for Steklov Operators Using Conforming Finite Element Methods1
Computational Multiscale Methods for Nondivergence-Form Elliptic Partial Differential Equations1
The Tracking of Derivative Discontinuities for Delay Fractional Equations Based on Fitted L1 Method1
Wave Propagation in High-Contrast Media: Periodic and Beyond1
Two Methods for the Implicit Integration of Stiff Reaction Systems1
The Numerical Approximation to a Stochastic Age-Structured HIV/AIDS Model with Nonlinear Incidence Rates1
Accurate Full-Vectorial Finite Element Method Combined with Exact Non-Reflecting Boundary Condition for Computing Guided Waves in Optical Fibers1
Finite Element Penalty Method for the Oldroyd Model of Order One with Non-smooth Initial Data1
Numerical Analysis & No Regrets. Special Issue Dedicated to the Memory of Francisco Javier Sayas (1968–2019)1
Simultaneous Inversion of the Space-Dependent Source Term and the Initial Value in a Time-Fractional Diffusion Equation1
On the Finite Element Approximation of Fourth-Order Singularly Perturbed Eigenvalue Problems1
The Mass-Lumped Midpoint Scheme for Computational Micromagnetics: Newton Linearization and Application to Magnetic Skyrmion Dynamics1
Reliable Methods of Mathematical Modeling1
Afternote to “Coupling at a Distance”: Convergence Analysis and A Priori Error Estimates1
An Unfitted dG Scheme for Coupled Bulk-Surface PDEs on Complex Geometries1
Adaptive Directional Compression of High-Frequency Helmholtz Boundary Element Matrices1
DPG Methods for a Fourth-Order div Problem1
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