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Multiphysics Simulations: Challenges and Opportunities
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Balancing domain decomposition
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PALM: a computational framework for assembling high‐performance computing applications
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High‐order semi‐implicit time‐integrators for a triangular discontinuous Galerkin oceanic shallow water model
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Partitioned iterative solution methods for fluid–structure interaction
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First‐order exchange coefficient coupling for simulating surface water–groundwater interactions: parameter sensitivity and consistency with a physics‐based approach
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Algebraic multigrid methods for constrained linear systems with applications to contact problems in solid mechanics
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Common‐refinement‐based data transfer between non‐matching meshes in multiphysics simulations
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Hybrid domain decomposition algorithms for compressible and almost incompressible elasticity
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Robust and provably second‐order explicit–explicit and implicit–explicit staggered time‐integrators for highly non‐linear compressible fluid–structure interaction problems
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Truly monolithic algebraic multigrid for fluid–structure interaction
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Error bounds on block Gauss–Seidel solutions of coupled multiphysics problems
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Translocation of biomolecules through solid‐state nanopores: Theory meets experiments
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Additive Semi-Implicit Runge–Kutta Methods for Computing High-Speed Nonequilibrium Reactive Flows
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A Conservative Adaptive Projection Method for the Variable Density Incompressible Navier–Stokes Equations
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Conservative Remapping and Region Overlays by Intersecting Arbitrary Polyhedra
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Numerical Modeling of Magnetohydrodynamic Convection in a Rapidly Rotating Spherical Shell: Weak and Strong Field Dynamo Action
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An Implicit, Nonlinear Reduced Resistive MHD Solver
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Estimation of Modeling Error in Computational Mechanics
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Non-Homogeneous Media and Vibration Theory
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Parallel PDE-Based Simulations Using the Common Component Architecture
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Thin Solids for Fluid-Structure Interaction
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A Monolithic FEM/Multigrid Solver for an ALE Formulation of Fluid-Structure Interaction with Applications in Biomechanics
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The Cactus Framework and Toolkit: Design and Applications
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DDEMA: A Data Driven Environment for Multiphysics Applications
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Scaling Hypre’s Multigrid Solvers to 100,000 Cores
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Efficient Management of Parallelism in Object-Oriented Numerical Software Libraries
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Stochastic Finite Elements: A Spectral Approach
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An Agent-Based Coupling Platform for Complex Automata
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Graphical Notation for Diagramming Coupled Systems
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A Scalable and Adaptable Solution Framework within Components of the Community Climate System Model
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Partitioned Simulation of Fluid-Structure Interaction on Cartesian Grids
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Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book
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Petascale Block-Structured AMR Applications without Distributed Meta-data
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Multiscale Scientific Computation: Review 2001
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Domain Decomposition by the Mortar Element Method
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Domain Decomposition Methods — Algorithms and Theory
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Implicit-explicit methods for reaction-diffusion problems in pattern formation
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Iterated defect correction for the efficient solution of stiff systems of ordinary differential equations
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Multirate linear multistep methods
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Additive Schwarz domain decomposition methods for elliptic problems on unstructured meshes
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Jacobian-free newton-krylov methods for the accurate time integration of stiff wave systems
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Multidisciplinary Simulation of the Maneuvering of an Aircraft
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Building complex coupled physical simulations on the grid with InterComm
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A component-based parallel infrastructure for the simulation of fluid–structure interaction
inferredcites →https://doi.org/10.1007/s00366-006-0048-4openalex-snapshot
Efficient distributed mesh data structure for parallel automated adaptive analysis
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libMesh : a C++ library for parallel adaptive mesh refinement/coarsening simulations
inferredcites →https://doi.org/10.1007/s00366-007-0080-zopenalex-snapshot
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Multiscale computation for bioartificial soft tissues with complex geometries
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An Object-Oriented Framework for Multidisciplinary, Multi-Physics, Computational Mechanics
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Attribute Management System for Engineering Analysis
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Partitioned time discretization for parallel solution of coupled ODE systems
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Mortar coupling and upscaling of pore-scale models
inferredcites →https://doi.org/10.1007/s10596-007-9065-7openalex-snapshot
Modeling atmospheric chemistry and transport with dynamic adaptive resolution
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Report of the Fusion Simulation Project Steering Committee
inferredcites →https://doi.org/10.1007/s10915-007-9151-yopenalex-snapshot
Multirate Timestepping Methods for Hyperbolic Conservation Laws
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Multirate Explicit Adams Methods for Time Integration of Conservation Laws
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Efficient Nonlinear Solvers for Nodal High-Order Finite Elements in 3D
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Computing the First Eigenpair of the p-Laplacian via Inverse Iteration of Sublinear Supersolutions
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Analysis and Practical Use of Flexible BiCGStab
inferredcites →https://doi.org/10.1007/s11044-010-9212-0openalex-snapshot
Large-scale rigid body simulations
inferredcites →https://doi.org/10.1016/0016-7037(85)90172-3openalex-snapshot
Continuum model for simultaneous chemical reactions and mass transport in hydrothermal systems
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Local adaptive mesh refinement for shock hydrodynamics
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Blueprint for a physically-based, digitally-simulated hydrologic response model
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A three-dimensional convective dynamo solution with rotating and finitely conducting inner core and mantle
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Matching fluid and structure meshes for aeroelastic computations: A parallel approach
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Temporal discretisation errors in non-iterative split-operator approaches to solving chemical reaction/groundwater transport models
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The equations of radiation hydrodynamics
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The lattice Boltzmann equation: theory and applications
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A GENERALIZED CONJUGATE GRADIENT METHOD FOR THE NUMERICAL SOLUTION OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS
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Accelerated iterative substructuring schemes for instationary fluid-structure interaction
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A fully coupled physically-based spatially-distributed model for evaluating surface/subsurface flow
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Application of Jacobian-free Newton–Krylov with physics-based preconditioning to biogeochemical transport
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Integrated surface–groundwater flow modeling: A free-surface overland flow boundary condition in a parallel groundwater flow model
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The groundwater–land-surface–atmosphere connection: Soil moisture effects on the atmospheric boundary layer in fully-coupled simulations
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Numerical modelling of coupled surface and subsurface flow systems
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Hybrid models of reactive transport in porous and fractured media
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A two-grid method for coupled free flow with porous media flow
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Dimension reduction numerical closure method for advection–diffusion-reaction systems
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Flexible BiCG and flexible Bi-CGSTAB for nonsymmetric linear systems
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The role of data transfer on the selection of a single vs. multiple mesh architecture for tightly coupled multiphysics applications
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Semi-implicit projection methods for incompressible flow based on spectral deferred corrections
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An algebraic theory for primal and dual substructuring methods by constraints
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Coupling pore-scale networks to continuum-scale models of porous media
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IRKC: An IMEX solver for stiff diffusion–reaction PDEs
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Monolithic discretization of linear thermoelasticity problems via adaptive multimesh hp -FEM
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A bridging domain method for coupling continua with molecular dynamics
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Constrained interpolation (remap) of divergence-free fields
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Provably second-order time-accurate loosely-coupled solution algorithms for transient nonlinear computational aeroelasticity
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Review of coupling methods for non-matching meshes
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Concurrent AtC coupling based on a blend of the continuum stress and the atomistic force
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Generalized Mathematical Homogenization: From theory to practice
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Adaptive multiscale modeling of polymeric materials with Arlequin coupling and Goals algorithms
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Combined interface boundary condition method for unsteady fluid–structure interaction
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Fluid–structure interaction for non-conforming interfaces based on a dual mortar formulation
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Quantification of errors for operator-split advection–diffusion calculations
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Transient fluid–structure interaction with non-matching spatial and temporal discretizations
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Performance of a new partitioned procedure versus a monolithic procedure in fluid–structure interaction
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Exaflop/s: The why and the how
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A framework approach for developing parallel adaptive multiphysics applications
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A posteriori error analysis for a transient conjugate heat transfer problem
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A component-based architecture for parallel multi-physics PDE simulation
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Radiative effects in radiative shocks in shock tubes
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Interface conditions for wave propagation through mesh refinement boundaries
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Jacobian-free Newton–Krylov methods: a survey of approaches and applications
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Studies of the accuracy of time integration methods for reaction–diffusion equations
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Implicitly balanced solution of the two-phase flow equations coupled to nonlinear heat conduction
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Conservative load transfer along curved fluid–solid interface with non-matching meshes
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A fully implicit numerical method for single-fluid resistive magnetohydrodynamics
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Application of implicit–explicit high order Runge–Kutta methods to discontinuous-Galerkin schemes
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IMEX extensions of linear multistep methods with general monotonicity and boundedness properties
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A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier–Stokes equations
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Shape determination for deformed electromagnetic cavities
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Stability of operator splitting methods for systems with indefinite operators: Advection–diffusion–reaction systems
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Performance of a parallel algebraic multilevel preconditioner for stabilized finite element semiconductor device modeling
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An approximate block Newton method for coupled iterations of nonlinear solvers: Theory and conjugate heat transfer applications
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A fully second order implicit/explicit time integration technique for hydrodynamics plus nonlinear heat conduction problems
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A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources
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Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods
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A second order self-consistent IMEX method for radiation hydrodynamics
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Comparison of multimesh hp-FEM to interpolation and projection methods for spatial coupling of thermal and neutron diffusion calculations
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A Jacobian-free Newton Krylov method for mortar-discretized thermomechanical contact problems
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Adaptive mesh, finite volume modeling of marine ice sheets
inferredcites →https://doi.org/10.1016/j.jnucmat.2009.03.035openalex-snapshot
Three dimensional coupled simulation of thermomechanics, heat, and oxygen diffusion in nuclear fuel rods
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WaLBerla: HPC software design for computational engineering simulations
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Mesh generation technology for nuclear reactor simulation; barriers and opportunities
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MOOSE: A parallel computational framework for coupled systems of nonlinear equations
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A coupling methodology for mesoscale-informed nuclear fuel performance codes
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Extensible component-based architecture for FLASH, a massively parallel, multiphysics simulation code
inferredcites →https://doi.org/10.1016/j.pepi.2007.04.004openalex-snapshot
Interface modeling in incompressible media using level sets in Escript
inferredcites →https://doi.org/10.1016/j.pepi.2007.04.016openalex-snapshot
Numerical simulation of geodynamic processes with the Portable Extensible Toolkit for Scientific Computation
inferredcites →https://doi.org/10.1016/j.pepi.2008.07.036openalex-snapshot
Preconditioned iterative methods for Stokes flow problems arising in computational geodynamics
inferredcites →https://doi.org/10.1016/j.pepi.2010.04.007openalex-snapshot
A stabilization algorithm for geodynamic numerical simulations with a free surface
inferredcites →https://doi.org/10.1016/j.procs.2010.04.073openalex-snapshot
A coupling environment for partitioned multiphysics simulations applied to fluid-structure interaction scenarios
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A Multilevel Parallelism Support for Multi-Physics Coupling
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On balanced approximations for time integration of multiple time scale systems
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A parallel block multi-level preconditioner for the 3D incompressible Navier–Stokes equations
inferredcites →https://doi.org/10.1016/s0021-9991(03)00193-1openalex-snapshot
A 2D high-β Hall MHD implicit nonlinear solver
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Coupling of atomistic and continuum simulations using a bridging scale decomposition
inferredcites →https://doi.org/10.1016/s0021-9991(03)00300-0openalex-snapshot
A spectral element semi-Lagrangian (SESL) method for the spherical shallow water equations
inferredcites →https://doi.org/10.1016/s0022-5096(01)00034-5openalex-snapshot
An analysis of the quasicontinuum method
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A posteriori error estimation in finite element analysis
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Load and motion transfer algorithms for fluid/structure interaction problems with non-matching discrete interfaces: Momentum and energy conservation, optimal discretization and application to aeroelasticity
inferredcites →https://doi.org/10.1016/s0045-7825(98)00016-4openalex-snapshot
Torsional springs for two-dimensional dynamic unstructured fluid meshes
inferredcites →https://doi.org/10.1016/s0045-7825(98)00151-0openalex-snapshot
A monolithical fluid-structure interaction algorithm applied to the piston problem
inferredcites →https://doi.org/10.1016/s0045-7930(01)00104-9openalex-snapshot
Application of a three-field nonlinear fluid–structure formulation to the prediction of the aeroelastic parameters of an F-16 fighter
inferredcites →https://doi.org/10.1016/s0045-7949(02)00259-6openalex-snapshot
Partitioned but strongly coupled iteration schemes for nonlinear fluid–structure interaction
inferredcites →https://doi.org/10.1016/s0168-9274(01)00115-5openalex-snapshot
BoomerAMG: A parallel algebraic multigrid solver and preconditioner
inferredcites →https://doi.org/10.1016/s0168-9274(02)00138-1openalex-snapshot
Additive Runge–Kutta schemes for convection–diffusion–reaction equations
inferredcites →https://doi.org/10.1016/s0168-9274(97)00056-1openalex-snapshot
Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
inferredcites →https://doi.org/10.1016/s0168-9274(97)00059-7openalex-snapshot
On the stability of implicit-explicit linear multistep methods
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Operator-splitting procedures for reactive transport and comparison of mass balance errors
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Newton–Krylov-multigrid solvers for large-scale, highly heterogeneous, variably saturated flow problems
inferredcites →https://doi.org/10.1016/s0309-1708(02)00162-8openalex-snapshot
Convergence of iterative split-operator approaches for approximating nonlinear reactive transport problems
inferredcites →https://doi.org/10.1016/s0309-1708(02)00188-4openalex-snapshot
Comparison of fully coupled approaches for approximating nonlinear transport and reaction problems
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Efficient numerical techniques for modeling multicomponent ground-water transport based upon simultaneous solution of strongly coupled subsets of chemical components
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