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 2021-08-01 to 2025-08-01.)
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 Domains11
Two-Level Error Estimation for the Integral Fractional Laplacian10
Fast Barrier Option Pricing by the COS BEM Method in Heston Model (with Matlab Code)8
Error Estimates for FE-BE Coupling of Scattering of Waves in the Time Domain7
Guaranteed Lower and Upper Bounds for Eigenvalues of Second Order Elliptic Operators in any Dimension7
Frontmatter7
Tensor-Product Space-Time Goal-Oriented Error Control and Adaptivity With Partition-of-Unity Dual-Weighted Residuals for Nonstationary Flow Problems7
Guaranteed Lower Eigenvalue Bounds for Steklov Operators Using Conforming Finite Element Methods6
Computational Methods in Applied Mathematics (CMAM 2022 Conference, Part 2)6
A Symmetric Interior Penalty Method for an Elliptic Distributed Optimal Control Problem with Pointwise State Constraints6
Bernoulli Free Boundary Problems Under Uncertainty: The Convex Case5
Anisotropic Adaptive Finite Elements for an Elliptic Problem with Strongly Varying Diffusion Coefficient5
A Staggered Discontinuous Galerkin Method for Quasi-Linear Second Order Elliptic Problems of Nonmonotone Type5
An Adaptive Two-Grid Solver for DPG Formulation of Compressible Navier–Stokes Equations in 3D5
Convergence Theory for IETI-DP Solvers for Discontinuous Galerkin Isogeometric Analysis that is Explicit in ℎ and ????4
Asymptotic Preserving Semi-Implicit Scheme for the Shallow Water Equations with Non-Flat Bottom Topography and Manning Friction Term4
Multivariate Analysis-Suitable T-Splines of Arbitrary Degree4
Stability and Error Estimates of a Novel Spectral Deferred Correction Time-Marching with Local Discontinuous Galerkin Methods for Parabolic Equations4
Discontinuous Galerkin Methods for the Vlasov–Stokes System4
Frontmatter4
Weak Convergence of the Rosenbrock Semi-implicit Method for Semilinear Parabolic SPDEs Driven by Additive Noise4
An Efficient Numerical Method for Time Domain Electromagnetic Wave Propagation in Co-axial Cables4
Frontmatter4
Integral Representations and Quadrature Schemes for the Modified Hilbert Transformation4
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
Force Computation for Dielectrics Using Shape Calculus4
Finite Element Penalty Method for the Oldroyd Model of Order One with Non-smooth Initial Data4
Positivity-Preserving Numerical Method for a Stochastic Multi-Group SIR Epidemic Model3
Well-Posedness and Convergence Analysis of PML Method for Time-Dependent Acoustic Scattering Problems Over a Locally Rough Surface3
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
A Convenient Inclusion of Inhomogeneous Boundary Conditions in Minimal Residual Methods3
A Discontinuous Galerkin and Semismooth Newton Approach for the Numerical Solution of Bingham Flow with Variable Density3
Multiscale Sub-grid Correction Method for Time-Harmonic High-Frequency Elastodynamics with Wave Number Explicit Bounds3
An Inverse Matrix Eigenvalue Problem for Constructing a Vibrating Rod3
Recent Advances in Finite Element Methods3
Two Methods for the Implicit Integration of Stiff Reaction Systems3
The Tracking of Derivative Discontinuities for Delay Fractional Equations Based on Fitted L1 Method3
An Analysis of High-Frequency Helmholtz Problems in Domains with Conical Points and Their Finite Element Discretisation3
Korn’s Inequality and Eigenproblems for the Lamé Operator3
FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert Equations via Convolution Quadrature: Weak Form and Numerical Approximation3
Robust PRESB Preconditioning of a 3-Dimensional Space-Time Finite Element Method for Parabolic Problems3
CVEM-BEM Coupling for the Simulation of Time-Domain Wave Fields Scattered by Obstacles with Complex Geometries3
Nonlinear PDE Models in Semi-relativistic Quantum Physics3
Mapped Coercivity for the Stationary Navier–Stokes Equations and Their Finite Element Approximations2
Recent Advances in Boundary Element Methods2
8th Chinese–German Workshop on Computational and Applied Mathematics2
An ????????-DPG Method with Application to 2D Convection-Diffusion Problems2
Computational Multiscale Methods for Nondivergence-Form Elliptic Partial Differential Equations2
Super-Localized Orthogonal Decomposition Method for Heterogeneous Linear Elasticity2
A Time-Adaptive Space-Time FMM for the Heat Equation2
Implicit/Explicit, BEM/FEM Coupled Scheme for Acoustic Waves with the Wave Equation in the Second Order Formulation2
Robust Discretization and Solvers for Elliptic Optimal Control Problems with Energy Regularization2
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
Reconstruction of the Radiation Condition and Solution for the Helmholtz Equation in a Semi-infinite Strip from Cauchy Data on an Interior Segment2
An Improvement on a Class of Fixed Point Iterative Methods for Solving Absolute Value Equations2
High Order Energy Stable Local Discontinuous Galerkin Methods for Camassa–Holm–Novikov Equations2
A Second-Order Difference Scheme for Generalized Time-Fractional Diffusion Equation with Smooth Solutions2
Guaranteed Upper Bounds for Iteration Errors and Modified Kačanov Schemes via Discrete Duality2
Adaptive Absorbing Boundary Layer for the Nonlinear Schrödinger Equation2
Spurious Resonances in Coupled Domain-Boundary Variational Formulations of Transmission Problems in Electromagnetism and Acoustics2
A Formulation for a Nonlinear Axisymmetric Magneto-Heat Coupling Problem with an Unknown Nonlocal Boundary Condition2
Developments on the Stability of the Non-symmetric Coupling of Finite and Boundary Elements2
Multi-Scale Paraxial Models to Approximate Vlasov–Maxwell Equations2
Tensor-Product Vertex Patch Smoothers for Biharmonic Problems2
Frontmatter2
Space-Time FEM for the Vectorial Wave Equation under Consideration of Ohm’s Law2
Analysis and Numerical Simulation of Time-Fractional Derivative Contact Problem with Friction in Thermo-Viscoelasticity2
Novel Raviart–Thomas Basis Functions on Anisotropic Finite Elements2
A Cost-Efficient Space-Time Adaptive Algorithm for Coupled Flow and Transport2
BEM-Based Magnetic Field Reconstruction by Ensemble Kálmán Filtering2
A Numerical Study of a Stabilized Hyperbolic Equation Inspired by Models for Bio-Polymerization2
Convergence Rates for a Finite Volume Scheme of the Stochastic Heat Equation2
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
A Mixed Finite Element Method for Coupled Plates2
A Finite Element Method for Two-Phase Flow with Material Viscous Interface2
On an Optimal AFEM for Elastoplasticity2
Relaxation Quadratic Approximation Greedy Pursuit Method Based on Sparse Learning2
Implicit-Explicit Finite Difference Approximations of a Semilinear Heat Equation with Logarithmic Nonlinearity2
Three Low Order H-Curl-Curl Finite Elements on Triangular Meshes2
A Time Splitting Method for the Three-Dimensional Linear Pauli Equation1
Pointwise A Posteriori Error Control of Discontinuous Galerkin Methods for Unilateral Contact Problems1
Discontinuous Galerkin Two-Grid Method for the Transient Navier–Stokes Equations1
Frontmatter1
An hp-Adaptive Strategy Based on Locally Predicted Error Reductions1
Anisotropic Adaptive Finite Elements for a p-Laplacian Problem1
Volume Integral Equations and Single-Trace Formulations for Acoustic Wave Scattering in an Inhomogeneous Medium1
On a Mixed FEM and a FOSLS with ????−1 Loads1
Discontinuous Galerkin Methods with Time-Operators in Their Numerical Traces for Time-Dependent Electromagnetics1
Convergence of Adaptive Crouzeix–Raviart and Morley FEM for Distributed Optimal Control Problems1
Improvement of the Constructive A Priori Error Estimates for a Fully Discretized Periodic Solution of Heat Equation1
Qualitative Properties of Space-Dependent SIR Models with Constant Delay and Their Numerical Solutions1
A Staggered Discontinuous Galerkin Method for the Simulation of Wave Propagation in Poroelastic Media1
Identification of an Inverse Source Problem in a Fractional Partial Differential Equation Based on Sinc-Galerkin Method and TSVD Regularization1
The DPG Method for the Convection-Reaction Problem, Revisited1
Frontmatter1
Discontinuous Petrov–Galerkin Approximation of Eigenvalue Problems1
Analysis of a Combined Spherical Harmonics and Discontinuous Galerkin Discretization for the Boltzmann Transport Equation1
Frontmatter1
Identification of Matrix Diffusion Coefficient in a Parabolic PDE1
A General Error Estimate For Parabolic Variational Inequalities1
Low-Regularity Integrator for the Davey–Stewartson System: Elliptic-Elliptic Case1
Partially Discontinuous Nodal Finite Elements for ????(curl) and ????(div)1
Numerical Analysis of a Finite Element Approximation to a Level Set Model for Free-Surface Flows1
A Discontinuous Galerkin Method for the Stationary Boussinesq System1
Variational Approximation for a Non-Isothermal Coupled Phase-Field System: Structure-Preservation & Nonlinear Stability1
Spectral, Tensor and Domain Decomposition Methods for Fractional PDEs1
Quadratic Discontinuous Galerkin Finite Element Methods for the Unilateral Contact Problem1
Computing Both Upper and Lower Eigenvalue Bounds by HDG Methods1
Simultaneous Reconstruction of Speed of Sound and Nonlinearity Parameter in a Paraxial Model of Vibro-Acoustography in Frequency Domain1
On Error Estimates of a Discontinuous Galerkin Method of the Boussinesq System of Equations1
Symmetrized Two-Scale Finite Element Discretizations for Partial Differential Equations with Symmetric Solutions1
Computational Methods in Applied Mathematics (CMAM 2022 Conference, Part 1)1
Frontmatter1
Numerical Approximation of Gaussian Random Fields on Closed Surfaces1
Space-Time Approximation of Local Strong Solutions to the 3D Stochastic Navier–Stokes Equations1
Arbitrary High-Order Unconditionally Stable Methods for Reaction-Diffusion Equations with inhomogeneous Boundary Condition via Deferred Correction1
Functional A Posteriori Error Estimates for the Parabolic Obstacle Problem1
A Finite Element Analysis in Balanced Norms for a Coupled System of Singularly Perturbed Reaction-Diffusion Equations1
Adaptive Multi-level Algorithm for a Class of Nonlinear Problems1
Frontmatter1
A Totally Relaxed, Self-Adaptive Subgradient Extragradient Method for Variational Inequality and Fixed Point Problems in a Banach Space1
The Numerical Approximation to a Stochastic Age-Structured HIV/AIDS Model with Nonlinear Incidence Rates1
The Partition of Unity Finite Element Method for the Schrödinger Equation1
Convergence of the Incremental Projection Method Using Conforming Approximations1
HDG Method for Nonlinear Parabolic Integro-Differential Equations1
Application of Fourier Truncation Method to Numerical Differentiation for Bivariate Functions1
Simplified Levenberg–Marquardt Method in Hilbert Spaces1
A Gaussian Method for the Square Root of Accretive Operators1
Simplified Iterated Lavrentiev Regularization in Hilbert Scales1
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