Communications in Computational Physics

Papers
(The median citation count of Communications in Computational Physics 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 2020-11-01 to 2024-11-01.)
ArticleCitations
Natural Convection Heat Transfer in a Porous Cavity with Sinusoidal Temperature Distribution Using Cu/Water Nanofluid: Double MRT Lattice Boltzmann Method74
Solving Allen-Cahn and Cahn-Hilliard Equations Using the Adaptive Physics Informed Neural Networks71
A Second-Order Scheme with Nonuniform Time Steps for a Linear Reaction-Subdiffusion Problem68
A Third Order BDF Energy Stable Linear Scheme for the No-Slope-Selection Thin Film Model42
Deep Nitsche Method: Deep Ritz Method with Essential Boundary Conditions37
DL-PDE: Deep-Learning Based Data-Driven Discovery of Partial Differential Equations from Discrete and Noisy Data24
DAFI: An Open-Source Framework for Ensemble-Based Data Assimilation and Field Inversion24
A Review on Contact and Collision Methods for Multi-Body Hydrodynamic Problems in Complex Flows20
A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations17
A Wavelet-Adaptive Method for Multiscale Simulation of Turbulent Flows in Flying Insects16
A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-Hilliard Model13
High Order Conservative Semi-Lagrangian Scheme for the BGK Model of the Boltzmann Equation13
Multiple-Scattering $T$-Matrix Simulations for Nanophotonics: Symmetries and Periodic Lattices13
Physics-Driven Learning of the Steady Navier-Stokes Equations Using Deep Convolutional Neural Networks12
Convergence Rate Analysis for Deep Ritz Method12
Active Nematodynamics on Curved Surfaces – The Influence of Geometric Forces on Motion Patterns of Topological Defects12
A Deep Spatio-Temporal Forecasting Model for Multi-Site Weather Prediction Post-Processing11
On a Hybrid Approach for Recovering Multiple Obstacles11
Continuous Data Assimilation with a Moving Cluster of Data Points for a Reaction Diffusion Equation: A Computational Study11
Partitioned and Monolithic Algorithms for the Numerical Solution of Cardiac Fluid-Structure Interaction10
Deep Unfitted Nitsche Method for Elliptic Interface Problems10
High Order Discretely Well-Balanced Methods for Arbitrary Hydrostatic Atmospheres10
Grad-div Stabilized Finite Element Schemes for the Fluid-Fluid Interaction Model10
Ensemble Gradient for Learning Turbulence Models from Indirect Observations10
An Augmented Lagrangian Deep Learning Method for Variational Problems with Essential Boundary Conditions10
Phase-Field-Based Axisymmetric Lattice Boltzmann Method for Two-Phase Electro-Hydrodynamic Flows9
A Well-Balanced Positivity-Preserving Quasi-Lagrange Moving Mesh DG Method for the Shallow Water Equations9
Non-Intrusive Reduced Order Modeling of Convection Dominated Flows Using Artificial Neural Networks with Application to Rayleigh-Taylor Instability9
Continuous Finite Element Subgrid Basis Functions for Discontinuous Galerkin Schemes on Unstructured Polygonal Voronoi Meshes9
Well-Balanced Central Scheme for the System of MHD Equations with Gravitational Source Term9
A Diffuse-Interface Lattice Boltzmann Method for the Dendritic Growth with Thermosolutal Convection9
On False Accuracy Verification of UMUSCL Scheme9
Convergence of Physics-Informed Neural Networks Applied to Linear Second-Order Elliptic Interface Problems8
An Adaptive Modal Discontinuous Galerkin Finite Element Parallel Method Using Unsplit Multi-Axial Perfectly Matched Layer for Seismic Wave Modeling8
EMPIRE-PIC: A Performance Portable Unstructured Particle-in-Cell Code8
Discrete-Velocity Vector-BGK Models Based Numerical Methods for the Incompressible Navier-Stokes Equations7
PFNN-2: A Domain Decomposed Penalty-Free Neural Network Method for Solving Partial Differential Equations7
Direct Simulation of Charge Transport in Graphene Nanoribbons7
One-Dimensional Blood Flow with Discontinuous Properties and Transport: Mathematical Analysis and Numerical Schemes7
A Rate of Convergence of Physics Informed Neural Networks for the Linear Second Order Elliptic PDEs7
A Colocalized Scheme for Three-Temperature Grey Diffusion Radiation Hydrodynamics7
A Decreasing Upper Bound of the Energy for Time-Fractional Phase-Field Equations7
A Hybrid Immersed Boundary-Lattice Boltzmann Method for Simulation of Viscoelastic Fluid Flows Interaction with Complex Boundaries7
Unified Gas-Kinetic Wave-Particle Methods VI: Disperse Dilute Gas-Particle Multiphase Flow7
A WENO-Based Stochastic Galerkin Scheme for Ideal MHD Equations with Random Inputs7
Random Batch Particle Methods for the Homogeneous Landau Equation7
A Modified Adaptive Improved Mapped WENO Method6
High-Order Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for Euler Equations with Gravitation on Unstructured Meshes6
Shallow Water Moment Models for Bedload Transport Problems6
A Coupled FEM-BEM Approach for the Solution of the Free-Boundary Axi-Symmetric Plasma Equilibrium Problem6
MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs6
Unconditional Bound-Preserving and Energy-Dissipating Finite-Volume Schemes for the Cahn-Hilliard Equation6
A Consensus-Based Global Optimization Method with Adaptive Momentum Estimation6
Learning Specialized Activation Functions for Physics-Informed Neural Networks6
Enforcing Imprecise Constraints on Generative Adversarial Networks for Emulating Physical Systems6
Structure-Preserving Numerical Methods for Stochastic Poisson Systems5
A Polygonal Discontinuous Galerkin Formulation for Contact Mechanics in Fluid-Structure Interaction Problems5
Anomalous Sorption Kinetics of Self-Interacting Particles by a Spherical Trap5
Fast One-Dimensional Convolution with General Kernels Using Sum-of-Exponential Approximation5
Moment-Based Multi-Resolution HWENO Scheme for Hyperbolic Conservation Laws5
General Synthetic Iterative Scheme for Unsteady Rarefied Gas Flows5
Tuning Symplectic Integrators is Easy and Worthwhile5
Saturation-Value Blind Color Image Deblurring with Geometric Spatial-Feature Prior5
High-Order Runge-Kutta Discontinuous Galerkin Methods with a New Type of Multi-Resolution WENO Limiters on Tetrahedral Meshes5
Full Discretization Scheme for the Dynamics of Elliptic Membrane Shell Model5
A New Mapped WENO Scheme Using Order-Preserving Mapping5
Solving Time Dependent Fokker-Planck Equations via Temporal Normalizing Flow5
Solving the Faddeev-Merkuriev Equations in Total Orbital Momentum Representation via Spline Collocation and Tensor Product Preconditioning5
A Mixed Finite Element Scheme for Quad-Curl Source and Eigenvalue Problems5
A General Algorithm for Calculating Irreducible Brillouin Zones5
A Second Order Numerical Scheme of the Cahn-Hilliard-Navier-Stokes System with Flory-Huggins Potential5
Entropic Multi-Relaxation-Time Lattice Boltzmann Model for Large Density Ratio Two-Phase Flows4
Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Scheme for the Thermal Rotating Shallow Water Equations4
A Priori Subcell Limiting Approach for the FR/CPR Method on Unstructured Meshes4
A Novel Iterative Penalty Method to Enforce Boundary Conditions in Finite Volume POD-Galerkin Reduced Order Models for Fluid Dynamics Problems4
Layer-Splitting Methods for Time-Dependent Schrödinger Equations of Incommensurate Systems4
Hybrid Diffuse and Sharp Interface Immersed Boundary Methods for Particulate Flows in the Presence of Complex Boundaries4
A NURBS-Enhanced Finite Volume Method for Steady Euler Equations with Goal-Oriented $h$-Adaptivity4
The Bulk-Surface Virtual Element Method for Reaction-Diffusion PDEs: Analysis and Applications4
A Nonlinear Finite Volume Scheme Preserving Maximum Principle for Diffusion Equations4
Approximating the Gaussian as a Sum of Exponentials and Its Applications to the Fast Gauss Transform4
High Order Finite Difference WENO Methods with Unequal-Sized Sub-Stencils for the Degasperis-Procesi Type Equations4
Construction of a Minimum Energy Path for the VT Flash Model by the String Method Coupled with the Exponential Time Differencing Scheme4
Localized Exponential Time Differencing Method for Shallow Water Equations: Algorithms and Numerical Study4
Fifth-Order A-WENO Path-Conservative Central-Upwind Scheme for Behavioral Non-Equilibrium Traffic Models4
New Unconditionally Stable Schemes for the Navier-Stokes Equations4
Permanent Charge Effects on Ionic Flow: A Numerical Study of Flux Ratios and Their Bifurcation4
Heterogeneous LBM Simulation Code with LRnLA Algorithms4
An Improved Peridynamic Model with Energy-Based Micromodulus Correction Method for Fracture in Particle Reinforced Composites4
VAE-KRnet and Its Applications to Variational Bayes4
A New Family of Nonconforming Elements with $H$(curl)-Continuity for the 3D Quad-Curl Problem4
Arbitrarily High-Order (Weighted) Essentially Non-Oscillatory Finite Difference Schemes for Anelastic Flows on Staggered Meshes3
A New Artificial Neural Network Method for Solving Schrödinger Equations on Unbounded Domains3
Benchmark Computations of the Phase Field Crystal and Functionalized Cahn-Hilliard Equations via Fully Implicit, Nesterov Accelerated Schemes3
Quantum Implementation of Numerical Methods for Convection-Diffusion Equations: Toward Computational Fluid Dynamics3
Kinetic Slip Boundary Condition for Isothermal Rarefied Gas Flows Through Static Non-Planar Geometries Based on the Regularized Lattice-Boltzmann Method3
Structure-Preserving Finite-Element Schemes for the Euler-Poisson Equations3
Adaptive Order WENO Reconstructions for the Semi-Lagrangian Finite Difference Scheme for Advection Problem3
New Insights on Convergence Properties of Peridynamic Models for Transient Diffusion and Elastodynamics3
A Pseudopotential Lattice Boltzmann Analysis for Multicomponent Flow3
Immersed Boundary Approach to Biofilm Spread on Surfaces3
Transition Pathways in Cylinder-Gyroid Interface3
A Quantitative Comparison of Physical Accuracy and Numerical Stability of Lattice Boltzmann Color Gradient and Pseudopotential Multicomponent Models for Microfluidic Applications3
The Immersed Interface Method for Non-Smooth Rigid Objects in Incompressible Viscous Flows3
Nonconforming Finite Elements for the −curl∆curl and Brinkman Problems on Cubical Meshes3
High-Order Low-Dissipation Shock-Resolving TENO-THINC Schemes for Hyperbolic Conservation Laws3
A General Improvement in the WENO-Z-Type Schemes3
Modeling of Bound Electron Effects in Particle-in-Cell Simulation3
A Coupled Discrete Unified Gas-Kinetic Scheme for Convection Heat Transfer in Porous Media3
An Adaptive Finite Element PML Method for the Open Cavity Scattering Problems3
Cholesky-Based Experimental Design for Gaussian Process and Kernel-Based Emulation and Calibration3
Numerical Approximations of Phase Field Models Using a General Class of Linear Time-Integration Schemes3
Efficient and Stable Schemes for the Magnetohydrodynamic Potential Model3
Extrapolation Cascadic Multigrid Method for Cell-Centered FV Discretization of Diffusion Equations with Strongly Discontinuous and Anisotropic Coefficients3
Multiple-Temperature Gas-Kinetic Scheme for Type IV Shock/Shock Interaction3
An Edge-Based Smoothed Finite Element Method with TBC for the Elastic Wave Scattering by an Obstacle3
A Five-Point TENO Scheme with Adaptive Dissipation Based on a New Scale Sensor3
A Mixed Wavelet-Learning Method of Predicting Macroscopic Effective Heat Transfer Conductivities of Braided Composite Materials3
Modeling Thermal Regulation in Thin Vascular Systems: A Mathematical Analysis3
A Simple Solver for the Two-Fluid Plasma Model Based on PseudoSpectral Time-Domain Algorithm3
Implicit Quadrature-Free Direct Reconstruction Method for Efficient Scale-Resolving Simulations3
A Conservative and Monotone Characteristic Finite Element Solver for Three-Dimensional Transport and Incompressible Navier-Stokes Equations on Unstructured Grids3
A Decoupled Energy Stable Adaptive Finite Element Method for Cahn–Hilliard–Navier–Stokes Equations3
A Computational Model for Simulation of Shallow Water Waves by Elastic Deformations in the Topography3
A Weak Galerkin Mixed Finite Element Method for Second Order Elliptic Equations on 2D Curved Domains3
Fourier Collocation and Reduced Basis Methods for Fast Modeling of Compressible Flows3
A Mortar Spectral Element Method for Full-Potential Electronic Structure Calculations3
A High-Order Discontinuous Galerkin Solver for Helically Symmetric Flows2
A Fast Time Splitting Finite Difference Approach to Gross–Pitaevskii Equations2
An LDG Method for Stochastic Cahn-Hilliard Type Equation Driven by General Multiplicative Noise Involving Second-Order Derivative2
Towards the Efficient Calculation of Quantity of Interest from Steady Euler Equations I: A Dual-Consistent DWR-Based $h$-Adaptive Newton-GMG Solver2
On Accurately Resolving Detonation Dynamics by Adaptive Finite Volume Method on Unstructured Grids2
A Simulation Approach Including Underresolved Scales for Two-Component Fluid Flows in Multiscale Porous Structures2
Efficient Splitting Methods Based on Modified Potentials: Numerical Integration of Linear Parabolic Problems and Imaginary Time Propagation of the Schrödinger Equation2
Ghost-Fluid-Based Sharp Interface Methods for Multi-Material Dynamics: A Review2
Incorporating the Maximum Entropy on the Mean Framework with Kernel Error for Robust Non-Blind Image Deblurring2
A New Function Space from Barron Class and Application to Neural Network Approximation2
A Stable Arbitrarily High Order Time-Stepping Method for Thermal Phase Change Problems2
Frame Invariance and Scalability of Neural Operators for Partial Differential Equations2
Fractional Buffer Layers: Absorbing Boundary Conditions for Wave Propagation2
Multi-Mesh-Scale Approximation of Thin Geophysical Mass Flows on Complex Topographies2
Well-Organized MZT-ME-PML Approach for THz BP Metasurface Implementations2
Investigating and Mitigating Failure Modes in Physics-Informed Neural Networks (PINNs)2
A Genuinely Two-Dimensional HLL-Type Approximate Riemann Solver for Hypo-Elastic Plastic Flow2
Hyperbolic Divergence Cleaning in Lattice Boltzmann Magnetohydrodynamics2
Linear Stability Analysis and Gas Kinetic Scheme (GKS) Simulations of Instabilities in Compressible Plane Poiseuille Flow2
A Normalizing Field Flow Induced Two-Stage Stochastic Homogenization Method for Random Composite Materials2
Numerical Identification of Nonlocal Potentials in Aggregation2
Sixth-Order Compact Finite Difference Method for 2D Helmholtz Equations with Singular Sources and Reduced Pollution Effect2
An Efficient Iterative Method for the Formulation of Flow Networks2
A Linear Scaling in Accuracy Numerical Method for Computing the Electrostatic Forces in the $N$-Body Dielectric Spheres Problem2
Navier-Stokes Solvers for Incompressible Single- and Two-Phase Flows2
A Diagonal Sweeping Domain Decomposition Method with Source Transfer for the Helmholtz Equation2
Dissipative and Conservative Local Discontinuous Galerkin Methods for the Fornberg-Whitham Type Equations2
An Accurate and Scalable Direction-Splitting Solver for Flows Laden with Non-Spherical Rigid Bodies – Part 1: Fixed Rigid Bodies2
Mandelic Acid Single-Crystal Growth: Experiments VS Numerical Simulations2
Consistent Forcing Scheme in the Simplified Lattice Boltzmann Method for Incompressible Flows2
Adaptive Fully Implicit Simulator with Multilevel Schwarz Methods for Gas Reservoir Flows in Fractured Porous Media2
A Simple Low-Degree Optimal Finite Element Scheme for the Elastic Transmission Eigenvalue Problem2
Asymptotic Structure of Cosmological Burgers Flows in One and Two Space Dimensions: A Numerical Study1
Truncated $L_1$ Regularized Linear Regression: Theory and Algorithm1
A Hermite WENO Method with Modified Ghost Fluid Method for Compressible Two-Medium Flow Problems1
DECAY: A Monte Carlo Library for the Decay of a Particle with ROOT Compatibility1
Numerical Integrators for Dispersion-Managed KdV Equation1
The Corrected Finite Volume Element Methods for Diffusion Equations Satisfying Discrete Extremum Principle1
Lattice Boltzmann Modeling of Cholesteric Liquid Crystal Droplets Under an Oscillatory Electric Field1
A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids1
Adaptive Multi-Resolution Method for 3D Reactive Flows with Level Set Front Capturing1
Asymptotic-Preserving Neural Networks for Multiscale Kinetic Equations1
Operator Splitting and Local Time-Stepping Methods for Transport Problems in Fractured Porous Media1
An Efficient Neural-Network and Finite-Difference Hybrid Method for Elliptic Interface Problems with Applications1
A Neural Network Approach to Sampling Based Learning Control for Quantum System with Uncertainty1
A Continuous Finite Element Method with Homotopy Vanishing Viscosity for Solving the Static Eikonal Equation1
Acoustic Scattering Problems with Convolution Quadrature and the Method of Fundamental Solutions1
AFEPack: A General-Purpose C++ Library for Numerical Solutions of Partial Differential Equations1
Numerical Solutions of the Electromagnetic Scattering by Overfilled Cavities with Inhomogeneous Anisotropic Media1
Band Structure Calculations of Dispersive Photonic Crystals in 3D Using Holomorphic Operator Functions1
Application of Continuous Data Assimilation in High-Resolution Ocean Modeling1
Bjorken Flow Revisited: Analytic and Numerical Solutions in Flat Space-Time Coordinates1
A Cartesian-to-Curvilinear Coordinate Transformation in Modified Ghost Fluid Method for Compressible Multi-Material Flows1
A High-Order Direct Discontinuous Galerkin Method for Variable Density Incompressible Flows1
Postprocessing Techniques of High-Order Galerkin Approximations to Nonlinear Second-Order Initial Value Problems with Applications to Wave Equations1
Investigation of Riemann Solver with Internal Reconstruction (RSIR) for the Euler Equations1
A High-Accurate Fast Poisson Solver Based on Harmonic Surface Mapping Algorithm1
An Understanding of the Physical Solutions and the Blow-up Phenomenon for Nonlinear Noisy Leaky Integrate and Fire Neuronal Models1
A RKDG Method for 2D Lagrangian Ideal Magnetohydrodynamics Equations with Exactly Divergence-Free Magnetic Field1
On the Monotonicity of $Q^2$ Spectral Element Method for Laplacian on Quasi-Uniform Rectangular Meshes1
A Sparse Grid Discrete Ordinate Discontinuous Galerkin Method for the Radiative Transfer Equation1
Some Random Batch Particle Methods for the Poisson-Nernst-Planck and Poisson-Boltzmann Equations1
Chromodynamic Lattice Boltzmann Method for the Simulation of Drops, Erythrocytes, and Other Vesicles1
High Order Deep Neural Network for Solving High Frequency Partial Differential Equations1
Lattice Boltzmann Simulations of Two Linear Microswimmers Using the Immersed Boundary Method1
Monotonic Diamond and DDFV Type Finite-Volume Schemes for 2D Elliptic Problems1
Fast MRI Reconstruction via Edge Attention1
Integral Equation Method for a Non-Selfadjoint Steklov Eigenvalue Problem1
Extension of Near-Wall Domain Decomposition to Modeling Flows with Laminar-Turbulent Transition1
A Sufficient and Necessary Condition of the Existence of WENO-Like Linear Combination for Finite Difference Schemes1
VPVnet: A Velocity-Pressure-Vorticity Neural Network Method for the Stokes’ Equations under Reduced Regularity1
An Efficient Positivity-Preserving Finite Volume Scheme for the Nonequilibrium Three-Temperature Radiation Diffusion Equations on Polygonal Meshes1
Geometric Decomposition and Efficient Implementation of High Order Face and Edge Elements1
High Order Conservative Finite Difference/Fourier Spectral Methods for Inviscid Surface Quasi-Geostrophic Flows1
The Hyperbolic Schrödinger Equation and the Quantum Lattice Boltzmann Approximation1
A Fourth-Order Kernel-Free Boundary Integral Method for Interface Problems1
Comparison of Lattice Boltzmann, Finite Element and Volume of Fluid Multicomponent Methods for Microfluidic Flow Problems and the Jetting of Microdroplets1
A Variational Neural Network Approach for Glacier Modelling with Nonlinear Rheology1
Preconditioning for a Phase-Field Model with Application to Morphology Evolution in Organic Semiconductors1
Transitions States of Stochastic Chemical Kinetic Systems1
Dynamical Demixing of a Binary Mixture Under Sedimentation1
Generalization Error Analysis of Neural Networks with Gradient Based Regularization1
A New Directional Algebraic Fast Multipole Method Based Iterative Solver for the Lippmann-Schwinger Equation Accelerated with HODLR Preconditioner1
MIXKIP/RAPCAL: A Computational Package for Integrated Simulations of Large-Scale Atomic Kinetics and Radiation Transport in Non-Local Thermodynamic Equilibrium Plasmas1
Numerical Solution of the Incompressible Navier-Stokes Equation by a Deep Branching Algorithm1
A Model-Data Asymptotic-Preserving Neural Network Method Based on Micro-Macro Decomposition for Gray Radiative Transfer Equations1
A Gas-Kinetic Scheme for Collisional Vlasov-Poisson Equations in Cylindrical Coordinates1
A DDG Method with a Residual-Based Artificial Viscosity for the Transonic/Supersonic Compressible Flow1
Poisson Integrators Based on Splitting Method for Poisson Systems1
An Adaptive Cartesian Method for Prediction of the Unsteady Process of Aircraft Ice Accretion1
Two Nonlinear Positivity-Preserving Finite Volume Schemes for Three-Dimensional Heat Conduction Equations on General Polyhedral Meshes1
An Iterative Thresholding Method for the Minimum Compliance Problem1
A Characteristic Boundary Condition for Multispeed Lattice Boltzmann Methods1
Efficient Flexible Boundary Conditions for Long Dislocations1
High Order Finite Difference Hermite WENO Fixed-Point Fast Sweeping Method for Static Hamilton-Jacobi Equations1
Monotonicity Correction for the Finite Element Method of Anisotropic Diffusion Problems1
An Improved Integration Scheme for Mode-Coupling-Theory Equations1
A CFD-Aided Galerkin Method for Global Linear Instability Analysis1
An Adaptive Threshold Dynamics Method for Three-Dimensional Wetting on Rough Surfaces1
On Single Distribution Lattice Boltzmann Schemes for the Approximation of Navier Stokes Equations1
Splitting Physics-Informed Neural Networks for Inferring the Dynamics of Integer- and Fractional-Order Neuron Models1
Superconvergence Analysis of $C^m$ Finite Element Methods for Fourth-Order Elliptic Equations I: One Dimensional Case1
An Adaptive Moving Mesh Method for the Five-Equation Model1
Numerical Discretization of Variational Phase Field Model for Phase Transitions in Ferroelectric Thin Films1
Neural Networks with Local Converging Inputs (NNLCI) for Solving Conservation Laws, Part II: 2D Problems1
Neural Networks with Local Converging Inputs (NNLCI) for Solving Conservation Laws, Part I: 1D Problems1
A Simple 3D Immersed Interface Method for Stokes Flow with Singular Forces on Staggered Grids1
A Highly Scalable Boundary Integral Equation and Walk-on-Spheres (BIE-WOS) Method for the Laplace Equation with Dirichlet Data1
Blended Ghost Force Correction Method for 3D Crystalline Defects1
High-Order Unified Gas-Kinetic Scheme1
Isogeometric Analysis with Proper Orthogonal Decomposition for Elastodynamics1
A Mixed Finite Element Scheme for Biharmonic Equation with Variable Coefficient and von Kármán Equations1
Algebraic Multigrid Block Preconditioning for Multi-Group Radiation Diffusion Equations1
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