Computational Methods in Applied Mathematics

Papers
(The TQCC of Computational Methods in Applied Mathematics is 3. 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 2022-05-01 to 2026-05-01.)
ArticleCitations
An Interior Maximum Norm Error Estimate for the Symmetric Interior Penalty Method on Planar Polygonal Domains37
Frontmatter16
Two-Level Error Estimation for the Integral Fractional Laplacian15
Approximate Deconvolution with Correction – A High Fidelity Model for Magnetohydrodynamic Flows at High Reynolds and Magnetic Reynolds Numbers15
Fast Barrier Option Pricing by the COS BEM Method in Heston Model (with Matlab Code)11
Guaranteed Lower and Upper Bounds for Eigenvalues of Second Order Elliptic Operators in any Dimension9
Tensor-Product Space-Time Goal-Oriented Error Control and Adaptivity With Partition-of-Unity Dual-Weighted Residuals for Nonstationary Flow Problems8
Error Estimates for FE-BE Coupling of Scattering of Waves in the Time Domain8
Frontmatter8
Guaranteed Lower Eigenvalue Bounds for Steklov Operators Using Conforming Finite Element Methods8
Computational Methods in Applied Mathematics (CMAM 2022 Conference, Part 2)8
A Symmetric Interior Penalty Method for an Elliptic Distributed Optimal Control Problem with Pointwise State Constraints8
Learning from Linear Algebra: A Graph Neural Network Approach to Preconditioner Design for Conjugate Gradient Solvers7
An Adaptive Two-Grid Solver for DPG Formulation of Compressible Navier–Stokes Equations in 3D6
Anisotropic Adaptive Finite Elements for an Elliptic Problem with Strongly Varying Diffusion Coefficient6
Integral Representations and Quadrature Schemes for the Modified Hilbert Transformation6
Bernoulli Free Boundary Problems Under Uncertainty: The Convex Case6
Weak Convergence of the Rosenbrock Semi-implicit Method for Semilinear Parabolic SPDEs Driven by Additive Noise6
Asymptotic Preserving Semi-Implicit Scheme for the Shallow Water Equations with Non-Flat Bottom Topography and Manning Friction Term6
A Staggered Discontinuous Galerkin Method for Quasi-Linear Second Order Elliptic Problems of Nonmonotone Type6
An Efficient Numerical Method for Time Domain Electromagnetic Wave Propagation in Co-axial Cables6
Multivariate Analysis-Suitable T-Splines of Arbitrary Degree6
A Hodge Decomposition Finite Element Method for an Elliptic Maxwell Boundary Value Problem on General Polyhedral Domains5
Force Computation for Dielectrics Using Shape Calculus5
Discontinuous Galerkin Methods for the Vlasov–Stokes System5
Stability and Error Estimates of a Novel Spectral Deferred Correction Time-Marching with Local Discontinuous Galerkin Methods for Parabolic Equations5
Numerical Solution of 2D Boundary Value Problems on Merged Voronoi–Delaunay Meshes5
A Multilevel Extension of the GDSW Overlapping Schwarz Preconditioner in Two Dimensions5
A Priori Analysis of a Symmetric Interior Penalty Discontinuous Galerkin Finite Element Method for a Dynamic Linear Viscoelasticity Model5
Multicontinuum Homogenization for Two-Phase Model with Linear Transport5
Semi- and Fully-Discrete Analysis of Lowest-Order Nonstandard Finite Element Methods for the Biharmonic Wave Problem5
Frontmatter5
Recent Advances in Finite Element Methods5
An Inverse Matrix Eigenvalue Problem for Constructing a Vibrating Rod4
Well-Posedness and Convergence Analysis of PML Method for Time-Dependent Acoustic Scattering Problems Over a Locally Rough Surface4
A Convenient Inclusion of Inhomogeneous Boundary Conditions in Minimal Residual Methods4
Robust PRESB Preconditioning of a 3-Dimensional Space-Time Finite Element Method for Parabolic Problems4
Vectorized 3D Mesh Refinement and Implementation of Primal Hybrid FEM in MATLAB4
Two Methods for the Implicit Integration of Stiff Reaction Systems4
CVEM-BEM Coupling for the Simulation of Time-Domain Wave Fields Scattered by Obstacles with Complex Geometries4
FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert Equations via Convolution Quadrature: Weak Form and Numerical Approximation4
A Novel Study Based on Shifted Jacobi Polynomials to Find the Numerical Solutions of Nonlinear Stochastic Differential Equations Driven by Fractional Brownian Motion4
An Analysis of High-Frequency Helmholtz Problems in Domains with Conical Points and Their Finite Element Discretisation4
Space-Time FEM for the Vectorial Wave Equation under Consideration of Ohm’s Law3
Novel Raviart–Thomas Basis Functions on Anisotropic Finite Elements3
Tensor-Product Vertex Patch Smoothers for Biharmonic Problems3
Frontmatter3
A Discontinuous Galerkin and Semismooth Newton Approach for the Numerical Solution of Bingham Flow with Variable Density3
Nonlinear PDE Models in Semi-relativistic Quantum Physics3
Relaxation Quadratic Approximation Greedy Pursuit Method Based on Sparse Learning3
Three Low Order H-Curl-Curl Finite Elements on Triangular Meshes3
A Parametric Finite Element Method for a Degenerate Multi-Phase Stefan Problem with Triple Junctions3
The Tracking of Derivative Discontinuities for Delay Fractional Equations Based on Fitted L1 Method3
Reconstruction of the Radiation Condition and Solution for the Helmholtz Equation in a Semi-infinite Strip from Cauchy Data on an Interior Segment3
Simultaneous Inversion of the Space-Dependent Source Term and the Initial Value in a Time-Fractional Diffusion Equation3
On an Optimal AFEM for Elastoplasticity3
A Time-Adaptive Space-Time FMM for the Heat Equation3
Implicit-Explicit Finite Difference Approximations of a Semilinear Heat Equation with Logarithmic Nonlinearity3
Positivity-Preserving Numerical Method for a Stochastic Multi-Group SIR Epidemic Model3
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