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 2021-06-01 to 2025-06-01.)
ArticleCitations
Approximate Deconvolution with Correction – A High Fidelity Model for Magnetohydrodynamic Flows at High Reynolds and Magnetic Reynolds Numbers33
Frontmatter17
An Interior Maximum Norm Error Estimate for the Symmetric Interior Penalty Method on Planar Polygonal Domains14
Accurate Full-Vectorial Finite Element Method Combined with Exact Non-Reflecting Boundary Condition for Computing Guided Waves in Optical Fibers10
Two-Level Error Estimation for the Integral Fractional Laplacian8
Dual-Weighted Residual A Posteriori Error Estimates for a Penalized Phase-Field Slit Discontinuity Problem8
Fast Barrier Option Pricing by the COS BEM Method in Heston Model (with Matlab Code)7
Error Estimates for FE-BE Coupling of Scattering of Waves in the Time Domain7
Tensor-Product Space-Time Goal-Oriented Error Control and Adaptivity With Partition-of-Unity Dual-Weighted Residuals for Nonstationary Flow Problems7
Frontmatter7
Guaranteed Lower and Upper Bounds for Eigenvalues of Second Order Elliptic Operators in any Dimension7
Guaranteed Lower Eigenvalue Bounds for Steklov Operators Using Conforming Finite Element Methods6
A Symmetric Interior Penalty Method for an Elliptic Distributed Optimal Control Problem with Pointwise State Constraints6
Computational Methods in Applied Mathematics (CMAM 2022 Conference, Part 2)5
An Adaptive Two-Grid Solver for DPG Formulation of Compressible Navier–Stokes Equations in 3D5
Integral Representations and Quadrature Schemes for the Modified Hilbert Transformation4
Convergence Theory for IETI-DP Solvers for Discontinuous Galerkin Isogeometric Analysis that is Explicit in ℎ and ????4
An Efficient Numerical Method for Time Domain Electromagnetic Wave Propagation in Co-axial Cables4
Multivariate Analysis-Suitable T-Splines of Arbitrary Degree4
Asymptotic Preserving Semi-Implicit Scheme for the Shallow Water Equations with Non-Flat Bottom Topography and Manning Friction Term4
Anisotropic Adaptive Finite Elements for an Elliptic Problem with Strongly Varying Diffusion Coefficient4
Frontmatter4
A Staggered Discontinuous Galerkin Method for Quasi-Linear Second Order Elliptic Problems of Nonmonotone Type4
Weak Convergence of the Rosenbrock Semi-implicit Method for Semilinear Parabolic SPDEs Driven by Additive Noise4
Bernoulli Free Boundary Problems Under Uncertainty: The Convex Case4
A Multilevel Extension of the GDSW Overlapping Schwarz Preconditioner in Two Dimensions4
Semi- and Fully-Discrete Analysis of Lowest-Order Nonstandard Finite Element Methods for the Biharmonic Wave Problem4
Finite Element Penalty Method for the Oldroyd Model of Order One with Non-smooth Initial Data3
Stability and Error Estimates of a Novel Spectral Deferred Correction Time-Marching with Local Discontinuous Galerkin Methods for Parabolic Equations3
CVEM-BEM Coupling for the Simulation of Time-Domain Wave Fields Scattered by Obstacles with Complex Geometries3
Recent Advances in Finite Element Methods3
Two Methods for the Implicit Integration of Stiff Reaction Systems3
A Priori Analysis of a Symmetric Interior Penalty Discontinuous Galerkin Finite Element Method for a Dynamic Linear Viscoelasticity Model3
A Novel Study Based on Shifted Jacobi Polynomials to Find the Numerical Solutions of Nonlinear Stochastic Differential Equations Driven by Fractional Brownian Motion3
Force Computation for Dielectrics Using Shape Calculus3
Novel Adaptive Hybrid Discontinuous Galerkin Algorithms for Elliptic Problems3
Discontinuous Galerkin Methods for the Vlasov–Stokes System3
Robust PRESB Preconditioning of a 3-Dimensional Space-Time Finite Element Method for Parabolic Problems3
The Tracking of Derivative Discontinuities for Delay Fractional Equations Based on Fitted L1 Method3
An Inverse Matrix Eigenvalue Problem for Constructing a Vibrating Rod3
Frontmatter3
A ????1 Finite Element Method for a Distributed Elliptic Optimal Control Problem with a General State Equation and Pointwise State Constraints3
FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert Equations via Convolution Quadrature: Weak Form and Numerical Approximation3
Well-Posedness and Convergence Analysis of PML Method for Time-Dependent Acoustic Scattering Problems Over a Locally Rough Surface3
Nonlinear PDE Models in Semi-relativistic Quantum Physics3
Spurious Resonances in Coupled Domain-Boundary Variational Formulations of Transmission Problems in Electromagnetism and Acoustics2
Novel Raviart–Thomas Basis Functions on Anisotropic Finite Elements2
Computational Multiscale Methods for Nondivergence-Form Elliptic Partial Differential Equations2
Poincaré Inequality for a Mesh-Dependent 2-Norm on Piecewise Linear Surfaces with Boundary2
Reconstruction of the Radiation Condition and Solution for the Helmholtz Equation in a Semi-infinite Strip from Cauchy Data on an Interior Segment2
A Discontinuous Galerkin and Semismooth Newton Approach for the Numerical Solution of Bingham Flow with Variable Density2
Analysis and Numerical Simulation of Time-Fractional Derivative Contact Problem with Friction in Thermo-Viscoelasticity2
Implicit-Explicit Finite Difference Approximations of a Semilinear Heat Equation with Logarithmic Nonlinearity2
A Second-Order Difference Scheme for Generalized Time-Fractional Diffusion Equation with Smooth Solutions2
Recent Advances in Boundary Element Methods2
A Formulation for a Nonlinear Axisymmetric Magneto-Heat Coupling Problem with an Unknown Nonlocal Boundary Condition2
Implicit/Explicit, BEM/FEM Coupled Scheme for Acoustic Waves with the Wave Equation in the Second Order Formulation2
Relaxation Quadratic Approximation Greedy Pursuit Method Based on Sparse Learning2
An Improvement on a Class of Fixed Point Iterative Methods for Solving Absolute Value Equations2
Three Low Order H-Curl-Curl Finite Elements on Triangular Meshes2
Kernel Embedding Based Variational Approach for Low-Dimensional Approximation of Dynamical Systems2
Frontmatter2
Multiscale Sub-grid Correction Method for Time-Harmonic High-Frequency Elastodynamics with Wave Number Explicit Bounds2
Positivity-Preserving Numerical Method for a Stochastic Multi-Group SIR Epidemic Model2
An Analysis of High-Frequency Helmholtz Problems in Domains with Conical Points and Their Finite Element Discretisation2
Space-Time FEM for the Vectorial Wave Equation under Consideration of Ohm’s Law2
A Time-Adaptive Space-Time FMM for the Heat Equation2
An ????????-DPG Method with Application to 2D Convection-Diffusion Problems2
A Finite Element Method for Two-Phase Flow with Material Viscous Interface2
Hierarchical Argyris Finite Element Method for Adaptive and Multigrid Algorithms2
Multi-Scale Paraxial Models to Approximate Vlasov–Maxwell Equations2
Tensor-Product Vertex Patch Smoothers for Biharmonic Problems2
Mapped Coercivity for the Stationary Navier–Stokes Equations and Their Finite Element Approximations2
Simultaneous Inversion of the Space-Dependent Source Term and the Initial Value in a Time-Fractional Diffusion Equation2
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
On the Spectrum of an Operator Associated with Least-Squares Finite Elements for Linear Elasticity2
Robust Hybrid High-Order Method on Polytopal Meshes with Small Faces2
A Convenient Inclusion of Inhomogeneous Boundary Conditions in Minimal Residual Methods2
Korn’s Inequality and Eigenproblems for the Lamé Operator2
A Mixed Finite Element Method for Coupled Plates2
Developments on the Stability of the Non-symmetric Coupling of Finite and Boundary Elements2
Using Complete Monotonicity to Deduce Local Error Estimates for Discretisations of a Multi-Term Time-Fractional Diffusion Equation2
Adaptive Absorbing Boundary Layer for the Nonlinear Schrödinger Equation2
A Numerical Study of a Stabilized Hyperbolic Equation Inspired by Models for Bio-Polymerization2
Robust Discretization and Solvers for Elliptic Optimal Control Problems with Energy Regularization2
High Order Energy Stable Local Discontinuous Galerkin Methods for Camassa–Holm–Novikov Equations2
On an Optimal AFEM for Elastoplasticity2
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