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 2022-01-01 to 2026-01-01.)
ArticleCitations
An Interior Maximum Norm Error Estimate for the Symmetric Interior Penalty Method on Planar Polygonal Domains36
Frontmatter11
Two-Level Error Estimation for the Integral Fractional Laplacian11
Guaranteed Lower and Upper Bounds for Eigenvalues of Second Order Elliptic Operators in any Dimension10
Fast Barrier Option Pricing by the COS BEM Method in Heston Model (with Matlab Code)10
Approximate Deconvolution with Correction – A High Fidelity Model for Magnetohydrodynamic Flows at High Reynolds and Magnetic Reynolds Numbers10
Frontmatter8
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 Domain7
A Symmetric Interior Penalty Method for an Elliptic Distributed Optimal Control Problem with Pointwise State Constraints7
Computational Methods in Applied Mathematics (CMAM 2022 Conference, Part 2)7
Guaranteed Lower Eigenvalue Bounds for Steklov Operators Using Conforming Finite Element Methods7
An Adaptive Two-Grid Solver for DPG Formulation of Compressible Navier–Stokes Equations in 3D6
A Staggered Discontinuous Galerkin Method for Quasi-Linear Second Order Elliptic Problems of Nonmonotone Type6
Anisotropic Adaptive Finite Elements for an Elliptic Problem with Strongly Varying Diffusion Coefficient6
Frontmatter5
Weak Convergence of the Rosenbrock Semi-implicit Method for Semilinear Parabolic SPDEs Driven by Additive Noise5
Bernoulli Free Boundary Problems Under Uncertainty: The Convex Case5
Force Computation for Dielectrics Using Shape Calculus5
An Efficient Numerical Method for Time Domain Electromagnetic Wave Propagation in Co-axial Cables5
Multivariate Analysis-Suitable T-Splines of Arbitrary Degree5
A Hodge Decomposition Finite Element Method for an Elliptic Maxwell Boundary Value Problem on General Polyhedral Domains5
Stability and Error Estimates of a Novel Spectral Deferred Correction Time-Marching with Local Discontinuous Galerkin Methods for Parabolic Equations5
Asymptotic Preserving Semi-Implicit Scheme for the Shallow Water Equations with Non-Flat Bottom Topography and Manning Friction Term5
Integral Representations and Quadrature Schemes for the Modified Hilbert Transformation5
A Multilevel Extension of the GDSW Overlapping Schwarz Preconditioner in Two Dimensions5
Semi- and Fully-Discrete Analysis of Lowest-Order Nonstandard Finite Element Methods for the Biharmonic Wave Problem5
A Priori Analysis of a Symmetric Interior Penalty Discontinuous Galerkin Finite Element Method for a Dynamic Linear Viscoelasticity Model4
Discontinuous Galerkin Methods for the Vlasov–Stokes System4
Well-Posedness and Convergence Analysis of PML Method for Time-Dependent Acoustic Scattering Problems Over a Locally Rough Surface4
CVEM-BEM Coupling for the Simulation of Time-Domain Wave Fields Scattered by Obstacles with Complex Geometries4
Frontmatter4
An Inverse Matrix Eigenvalue Problem for Constructing a Vibrating Rod4
A Novel Study Based on Shifted Jacobi Polynomials to Find the Numerical Solutions of Nonlinear Stochastic Differential Equations Driven by Fractional Brownian Motion4
Robust PRESB Preconditioning of a 3-Dimensional Space-Time Finite Element Method for Parabolic Problems4
Finite Element Penalty Method for the Oldroyd Model of Order One with Non-smooth Initial Data4
Recent Advances in Finite Element Methods4
FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert Equations via Convolution Quadrature: Weak Form and Numerical Approximation4
The Tracking of Derivative Discontinuities for Delay Fractional Equations Based on Fitted L1 Method3
Two Methods for the Implicit Integration of Stiff Reaction Systems3
Reconstruction of the Radiation Condition and Solution for the Helmholtz Equation in a Semi-infinite Strip from Cauchy Data on an Interior Segment3
Three Low Order H-Curl-Curl Finite Elements on Triangular Meshes3
Frontmatter3
On the Spectrum of an Operator Associated with Least-Squares Finite Elements for Linear Elasticity3
A Discontinuous Galerkin and Semismooth Newton Approach for the Numerical Solution of Bingham Flow with Variable Density3
A Convenient Inclusion of Inhomogeneous Boundary Conditions in Minimal Residual Methods3
Nonlinear PDE Models in Semi-relativistic Quantum Physics3
Implicit-Explicit Finite Difference Approximations of a Semilinear Heat Equation with Logarithmic Nonlinearity3
Novel Raviart–Thomas Basis Functions on Anisotropic Finite Elements3
Simultaneous Inversion of the Space-Dependent Source Term and the Initial Value in a Time-Fractional Diffusion Equation3
Positivity-Preserving Numerical Method for a Stochastic Multi-Group SIR Epidemic Model3
Korn’s Inequality and Eigenproblems for the Lamé Operator3
An Analysis of High-Frequency Helmholtz Problems in Domains with Conical Points and Their Finite Element Discretisation3
Multiscale Sub-grid Correction Method for Time-Harmonic High-Frequency Elastodynamics with Wave Number Explicit Bounds3
Relaxation Quadratic Approximation Greedy Pursuit Method Based on Sparse Learning3
On an Optimal AFEM for Elastoplasticity3
Space-Time FEM for the Vectorial Wave Equation under Consideration of Ohm’s Law3
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