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 2021-04-01 to 2025-04-01.)
ArticleCitations
Efficient P1-FEM for Any Space Dimension in Matlab33
Fractional Laplacian – Quadrature Rules for Singular Double Integrals in 3D17
Implicit Runge–Kutta Schemes for Optimal Control Problems with Evolution Equations12
Two-Level Error Estimation for the Integral Fractional Laplacian12
Error Estimates for the Numerical Approximation of Unregularized Sparse Parabolic Control Problems10
Numerical Analysis & No Regrets. Special Issue Dedicated to the Memory of Francisco Javier Sayas (1968–2019)8
Well-Posedness and Convergence Analysis of PML Method for Time-Dependent Acoustic Scattering Problems Over a Locally Rough Surface7
Fully Discrete Finite Element Approximation of the MHD Flow7
Frontmatter7
Robust Iterative Solvers for Gao Type Nonlinear Beam Models in Elasticity7
Accurate Full-Vectorial Finite Element Method Combined with Exact Non-Reflecting Boundary Condition for Computing Guided Waves in Optical Fibers6
Frontmatter5
An Interior Maximum Norm Error Estimate for the Symmetric Interior Penalty Method on Planar Polygonal Domains5
Dual-Weighted Residual A Posteriori Error Estimates for a Penalized Phase-Field Slit Discontinuity Problem5
Frontmatter5
A Potential-Robust WG Finite Element Method for the Maxwell Equations on Tetrahedral Meshes4
An Improvement on a Class of Fixed Point Iterative Methods for Solving Absolute Value Equations4
Frontmatter4
Tensor-Product Space-Time Goal-Oriented Error Control and Adaptivity With Partition-of-Unity Dual-Weighted Residuals for Nonstationary Flow Problems4
Two Methods for the Implicit Integration of Stiff Reaction Systems4
Analysis of Backward Euler Primal DPG Methods4
A Phase-Space Discontinuous Galerkin Scheme for the Radiative Transfer Equation in Slab Geometry4
Approximate Deconvolution with Correction – A High Fidelity Model for Magnetohydrodynamic Flows at High Reynolds and Magnetic Reynolds Numbers4
Fast Barrier Option Pricing by the COS BEM Method in Heston Model (with Matlab Code)4
Adaptive Directional Compression of High-Frequency Helmholtz Boundary Element Matrices3
Frontmatter3
On Split Monotone Variational Inclusion Problem with Multiple Output Sets with Fixed Point Constraints3
A Gaussian Method for the Square Root of Accretive Operators3
An Efficient Discretization Scheme for Solving Nonlinear Ill-Posed Problems3
An Optimal Multilevel Method with One Smoothing Step for the Morley Element3
????2-Conformal Approximation of Miura Surfaces3
Korn’s Inequality and Eigenproblems for the Lamé Operator3
In Memoriam of Raytcho Lazarov3
The DPG Method for the Convection-Reaction Problem, Revisited3
Multi-Scale Paraxial Models to Approximate Vlasov–Maxwell Equations3
Factorized Schemes for First and Second Order Evolution Equations with Fractional Powers of Operators3
A Posteriori Error Estimation for the Optimal Control of Time-Periodic Eddy Current Problems3
On a Mixed FEM and a FOSLS with ????−1 Loads3
Hierarchical Argyris Finite Element Method for Adaptive and Multigrid Algorithms3
Frontmatter2
Space-Time Approximation of Local Strong Solutions to the 3D Stochastic Navier–Stokes Equations2
A Symmetric Interior Penalty Method for an Elliptic Distributed Optimal Control Problem with Pointwise State Constraints2
A Cost-Efficient Space-Time Adaptive Algorithm for Coupled Flow and Transport2
A Posteriori Error Estimator for Weak Galerkin Finite Element Method for Stokes Problem Using Diagonalization Techniques2
A Space-Time Finite Element Method for the Eddy Current Approximation of Rotating Electric Machines2
A Galerkin Approach to the Generalized Karush–Kuhn–Tucker Conditions for the Solution of an Elliptic Distributed Optimal Control Problem with Pointwise State and Control Constraints2
Computational Methods in Applied Mathematics (CMAM 2022 Conference, Part 2)2
A Discontinuous Galerkin Method for the Stationary Boussinesq System2
Error Estimates for FE-BE Coupling of Scattering of Waves in the Time Domain2
An Analysis of High-Frequency Helmholtz Problems in Domains with Conical Points and Their Finite Element Discretisation2
Improving Regularization Techniques for Incompressible Fluid Flows via Defect Correction2
A Convergent Entropy-Dissipating BDF2 Finite-Volume Scheme for a Population Cross-Diffusion System2
A Posteriori Error Estimates for Darcy–Forchheimer’s Problem2
A New Immersed Finite Element Method for Two-Phase Stokes Problems Having Discontinuous Pressure2
DPG Methods for a Fourth-Order div Problem2
Positivity-Preserving Numerical Method for a Stochastic Multi-Group SIR Epidemic Model2
Error Analysis of the Vector Penalty-Projection Methods for the Time-Dependent Stokes Equations with Open Boundary Conditions2
Poincaré Inequality for a Mesh-Dependent 2-Norm on Piecewise Linear Surfaces with Boundary2
The Tracking of Derivative Discontinuities for Delay Fractional Equations Based on Fitted L1 Method2
Implicit/Explicit, BEM/FEM Coupled Scheme for Acoustic Waves with the Wave Equation in the Second Order Formulation2
A Data-Driven Method for Parametric PDE Eigenvalue Problems Using Gaussian Process with Different Covariance Functions2
Adaptive Image Compression via Optimal Mesh Refinement2
A Class of Meshless Structure-Preserving Algorithms for the Nonlinear Schrödinger Equation2
A Formulation for a Nonlinear Axisymmetric Magneto-Heat Coupling Problem with an Unknown Nonlocal Boundary Condition2
A Convenient Inclusion of Inhomogeneous Boundary Conditions in Minimal Residual Methods2
Landweber Iterative Method for an Inverse Source Problem of Time-Space Fractional Diffusion-Wave Equation2
A Totally Relaxed, Self-Adaptive Subgradient Extragradient Method for Variational Inequality and Fixed Point Problems in a Banach Space2
The Time Domain Linear Sampling Method for Determining the Shape of Multiple Scatterers Using Electromagnetic Waves2
A Conforming Virtual Element Method for Parabolic Integro-Differential Equations2
Computational Methods in Applied Mathematics (CMAM 2022 Conference, Part 1)2
A Discontinuous Galerkin and Semismooth Newton Approach for the Numerical Solution of Bingham Flow with Variable Density2
Nonlinear PDE Models in Semi-relativistic Quantum Physics2
Guaranteed Lower Eigenvalue Bounds for Steklov Operators Using Conforming Finite Element Methods2
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 Objects2
An Adaptive Two-Grid Solver for DPG Formulation of Compressible Navier–Stokes Equations in 3D1
Simultaneous Inversion of the Space-Dependent Source Term and the Initial Value in a Time-Fractional Diffusion Equation1
A Multilevel Extension of the GDSW Overlapping Schwarz Preconditioner in Two Dimensions1
Simplified Levenberg–Marquardt Method in Hilbert Spaces1
Convergence of the Incremental Projection Method Using Conforming Approximations1
Convergence of an Operator Splitting Scheme for Fractional Conservation Laws with Lévy Noise1
Three Low Order H-Curl-Curl Finite Elements on Triangular Meshes1
Frontmatter1
Space-Time Least-Squares Finite Element Methods for Parabolic Distributed Optimal Control Problems1
An Efficient Numerical Method for Time Domain Electromagnetic Wave Propagation in Co-axial Cables1
Spectral, Tensor and Domain Decomposition Methods for Fractional PDEs1
Sino–German Computational and Applied Mathematics1
Robust Hybrid High-Order Method on Polytopal Meshes with Small Faces1
On the Spectrum of an Operator Associated with Least-Squares Finite Elements for Linear Elasticity1
A General Error Estimate For Parabolic Variational Inequalities1
A Second-Order Difference Scheme for Generalized Time-Fractional Diffusion Equation with Smooth Solutions1
The Mass-Lumped Midpoint Scheme for Computational Micromagnetics: Newton Linearization and Application to Magnetic Skyrmion Dynamics1
Convergence Theory for IETI-DP Solvers for Discontinuous Galerkin Isogeometric Analysis that is Explicit in ℎ and ????1
Qualitative Properties of Space-Dependent SIR Models with Constant Delay and Their Numerical Solutions1
BEM-Based Magnetic Field Reconstruction by Ensemble Kálmán Filtering1
Reconstruction of the Radiation Condition and Solution for the Helmholtz Equation in a Semi-infinite Strip from Cauchy Data on an Interior Segment1
Some Estimates for Virtual Element Methods in Three Dimensions1
Volume Integral Equations and Single-Trace Formulations for Acoustic Wave Scattering in an Inhomogeneous Medium1
Application of Fourier Truncation Method to Numerical Differentiation for Bivariate Functions1
High-Order Compact Finite Difference Methods for Solving the High-Dimensional Helmholtz Equations1
Error Identities for Parabolic Equations with Monotone Spatial Operators1
Two Finite Difference Schemes for Multi-Dimensional Fractional Wave Equations with Weakly Singular Solutions1
Multivariate Analysis-Suitable T-Splines of Arbitrary Degree1
Recent Advances in Boundary Element Methods1
Relaxation Quadratic Approximation Greedy Pursuit Method Based on Sparse Learning1
A Numerical Study of a Stabilized Hyperbolic Equation Inspired by Models for Bio-Polymerization1
Numerical Analysis of a Finite Element Approximation to a Level Set Model for Free-Surface Flows1
Frontmatter1
Adaptive Absorbing Boundary Layer for the Nonlinear Schrödinger Equation1
A Domain Decomposition Scheme for Couplings Between Local and Nonlocal Equations1
An ????????-DPG Method with Application to 2D Convection-Diffusion Problems1
A Finite Element Method for Two-Phase Flow with Material Viscous Interface1
Bernoulli Free Boundary Problems Under Uncertainty: The Convex Case1
Optimal Pressure Recovery Using an Ultra-Weak Finite Element Method for the Pressure Poisson Equation and a Least-Squares Approach for the Gradient Equation1
Implicit-Explicit Finite Difference Approximations of a Semilinear Heat Equation with Logarithmic Nonlinearity1
A Staggered Discontinuous Galerkin Method for Quasi-Linear Second Order Elliptic Problems of Nonmonotone Type1
Weak Convergence of the Rosenbrock Semi-implicit Method for Semilinear Parabolic SPDEs Driven by Additive Noise1
Frontmatter1
Machine Learning Estimators: Implementation and Comparison in Python1
Coupling of Finite and Boundary Elements for Singularly Nonlinear Transmission and Contact Problems1
Space-Time FEM for the Vectorial Wave Equation under Consideration of Ohm’s Law1
Integral Representations and Quadrature Schemes for the Modified Hilbert Transformation1
Identification of an Inverse Source Problem in a Fractional Partial Differential Equation Based on Sinc-Galerkin Method and TSVD Regularization1
Using Complete Monotonicity to Deduce Local Error Estimates for Discretisations of a Multi-Term Time-Fractional Diffusion Equation1
Quasi-Newton Iterative Solution of Non-Orthotropic Elliptic Problems in 3D with Boundary Nonlinearity1
Anisotropic Adaptive Finite Elements for an Elliptic Problem with Strongly Varying Diffusion Coefficient1
Discontinuous Galerkin Methods with Time-Operators in Their Numerical Traces for Time-Dependent Electromagnetics1
On the Finite Element Approximation of Fourth-Order Singularly Perturbed Eigenvalue Problems1
Partially Discontinuous Nodal Finite Elements for ????(curl) and ????(div)1
Novel Raviart–Thomas Basis Functions on Anisotropic Finite Elements1
An Unfitted dG Scheme for Coupled Bulk-Surface PDEs on Complex Geometries1
Multiscale Sub-grid Correction Method for Time-Harmonic High-Frequency Elastodynamics with Wave Number Explicit Bounds1
Afternote to “Coupling at a Distance”: Convergence Analysis and A Priori Error Estimates1
An Optimal Method for High-Order Mixed Derivatives of Bivariate Functions1
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