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Numerical Methods for Elliptic and Parabolic Partial Differential Equations
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Automatic triangulation of arbitrary planar domains for the finite element method
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Automatic three‐dimensional mesh generation by the finite octree technique
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Paving: A new approach to automated quadrilateral mesh generation
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Generation of unstructured tetrahedral meshes by advancing front technique
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On advancing front mesh generation in three dimensions
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Some remarks on Zienkiewicz‐Zhu estimator
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Nonlinear Functional Analysis and its Applications
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Homogenization and Porous Media
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Iterative Solution of Large Sparse Systems of Equations
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A Mathematical Introduction to Fluid Mechanics
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Transport Modeling in Hydrogeochemical Systems
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The Mathematical Theory of Finite Element Methods
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Elliptic Differential Equations
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Mathematical Analysis and Numerical Methods for Science and Technology
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Finite Element Methods for Navier-Stokes Equations: Theory and Algorithms
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Elliptic Partial Differential Equations of Second Order
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Numerical Methods for Singularly Perturbed Differential Equations
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Elliptic Differential Equations: Theory and Numerical Treatment
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The Method of Volume Averaging
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An Introduction to Partial Differential Equations
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Seams and wedges in plastering: A 3-D hexahedral mesh generation algorithm
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Anisotropic interpolation with applications to the finite element method
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Topics in Stability and Bifurcation Theory
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Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
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A new finite element formulation for computational fluid dynamics: II. Beyond SUPG
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Surface grid generation methods for overset grids
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Automatic generation of hexahedral finite element meshes
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An analysis of the finite element method
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Multi-grid methods and applications.
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Software for C1 Surface Interpolation
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Nonnegative Matrices in the Mathematical Sciences
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A posteriori error estimation in finite element analysis
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Maximum Principle in Finite Element Models for Convection-Diffusion Phenomena
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Basic error estimates for elliptic problems
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Approximation by finite element functions using local regularization
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Stability of the Lagrange-Galerkin method with non-exact integration
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Numerical integration over simplexes and cones
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Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
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Computing Dirichlet tessellations
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Computing the n-dimensional Delaunay tessellation with application to Voronoi polytopes
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Error estimates for the finite-element solution of an elliptic singularly perturbed problem
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Finite Elements: Theory, Fast Solvers, and Applications in Solid Mechanics
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Estimation of the Interpolation Error for Quadrilateral Finite Elements Which Can Degenerate into Triangles
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On the Maximum Angle Condition for Linear Tetrahedral Elements
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Iterative Methods for Sparse Linear Systems
inferredcites →https://doi.org/10.1137/s0036142900367478openalex-snapshot
Uniform Error Analysis for Lagrange--Galerkin Approximations of Convection-Dominated Problems
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Fundamentals of Grid Generation
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Iterative Solution of Large Linear Systems
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Numerical solution of partial differential equations by the finite element method
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Finite difference schemes and partial differential equations
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Iterative methods for linear and nonlinear equations
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Convergence analysis for a mixed finite element scheme for flow in strictly unsaturated porous media
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Mixed-mode oscillations in a stochastic, piecewise-linear system
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An extended corrosive-passivating model with cross-diffusion for the initiation of corrosion patterns
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A cell-vertex finite volume scheme for solute transport equations in open channel networks
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Toward a Multi-level Parallel Framework on GPU Cluster with PetSC-CUDA for PDE-based Optical Flow Computation
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fastmat: Efficient linear transforms in Python
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A multilevel approach towards unbiased sampling of random elliptic partial differential equations
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From streamline jumping to strange eigenmodes: Bridging the Lagrangian and Eulerian pictures of the kinematics of mixing in granular flows
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Solutions with a bounded support promote permanence of a distributed replicator equation
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Two nonlinear models for stratified flows of the Antarctic Circumpolar Current
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Analysis of the Fictitious Domain Method with anL2-Penalty for Elliptic Problems
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A Globally Convergent Algorithm for a PDE-Constrained Optimization Problem Arising in Electrical Impedance Tomography
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Non linear second order partial differential equations as generalized inverse moment problems
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A Method for Material Parameter Determination for the Human Mandible Based on Simulation and Experiment
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Model order reduction for numerical simulation of particle transport based on numerical integration approaches
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Modified method of fundamental solutions for steady state heat conduction equation in anisotropic medium
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A method for identifying a spacewise-dependent heat source under stochastic noise interference
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Nonnegativity preserving convergent schemes for stochastic porous-medium equations
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Additive schemes (splitting schemes) for some systems of evolutionary equations
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A second-order bulk–surface splitting for parabolic problems with dynamic boundary conditions
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Convergence of an MPFA finite volume scheme for a two‐phase porous media flow model with dynamic capillarity
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Beyond fractional derivatives: local approximation of other convolution integrals
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Evolution of moments and correlations in nonrenewal escape-time processes
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Efficient convolution based impedance boundary conditions
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Stochastic Robust W ∞ Optimal Control *
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USSR: A Unified Framework for Simultaneous Smoothing, Segmentation, and Registration of Multiple Images
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Analysis of direct current flowing inside a linear increasing conductivity half-space
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A FEMs Magnetic-Thermal Study for a MR Automotive Damper
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Age-related Calcium Sparks Alterations in Heart Pacemaker Cells. Computer Modeling
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Comparison of Iterative Methods for the Solution of Compressible-Fluid Reynolds Equation
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Partial Differential Equation-Based Process Control for Ultraviolet Curing of Thick Film Resins
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Operator-difference schemes for a class of systems of evolution equations
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Numerical Solution of the Cauchy Problem for a Second-Order Integro-Differential Equation
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Flux-splitting schemes for parabolic problems
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Flux-splitting schemes for parabolic equations with mixed derivatives
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Stable difference schemes for certain parabolic equations
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Time step selection for the numerical solution of boundary value problems for parabolic equations
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Numerical Solution of Time-Dependent Problems with Different Time Scales
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Splitting Schemes for One Class of Operator Differential Equations
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Decomposition–Composition Schemes for Systems of Second-Order Evolution Equations
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Explicit-implicit computational algorithms for multiphase filtration problems
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Finite Element Method for Stokes Equations under Leak Boundary Condition of Friction Type
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Local Mass-Corrections for Continuous Pressure Approximations of Incompressible Flow
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A Space-Time Multiscale Method for Parabolic Problems
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A MODIFIED FINITE DIFFERENCES METHOD FOR ANALYSIS OF ULTRASONIC PROPAGATION IN NONHOMOGENEOUS MEDIA
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A Compact Higher-Order Scheme for Two-Dimensional Unsteady Convection–Diffusion Equations
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Comportamento assintótico de problemas de difusão não locais e semilineares do tipo Neumann
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Um estimador de erro a posteriori para a equação do transporte de contaminantes em regime de pequena advecção
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Landweber–Fridman algorithms for the Cauchy problem in steady-state anisotropic heat conduction
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Numerical methods to simulate moisture dynamics in fibrous sheet
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Meshfree Methods for Fluid Dynamics Problems
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- Special Functions and Their Properties
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A Microscale Model for Combined CO2 Diffusion and Photosynthesis in Leaves
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Cell boundary element methods for elliptic problems
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New Scenario for Transition to Slow 3-D Turbulence Part I.Slow 1-D Turbulence in Nikolaevskii System
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A Splitting Scheme to Solve an Equation for Fractional Powers of Elliptic Operators
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Numerical Solution of Time-Dependent Problems with Fractional Power Elliptic Operator
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Numerical Solution of Nonstationary Problems for a Space-Fractional Diffusion Equation
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Bouligand-Levenberg-Marquardt iteration for a non-smooth ill-posed inverse problem
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Identification of non-newtonian rheological parameter through an inverse formulation
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MATHEMATICAL MODELING OF POPULATION DYNAMICS DURING TECHNOGENIC IMPACT ON THE HABITAT
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Iterative operator-splitting methods for nonlinear differential equations and applications of deposition processes
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A numerical approach to predict cavitation and contact in misaligned journal bearings
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Explicit estimation of error constants appearing in non-conforming linear triangular finite element method
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Stability of Gauss-Seidel type monotone iterative solutions for nonlinear nonlocal functional convection reaction-diffusion boundary value problems
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Inexact monotone methods for solving nonlinear elliptic problems
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Metody analizy numerycznej w badaniach zbiorów osiągalnych układów dynamicznych
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Numerical evolution methods of rational form for reaction diffusion equations
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Robust and efficient finite element multigrid and preconditioned minimum residual solvers for the distributed elliptic optimal control problems
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Regularity of solutions and parameter estimation for SPDE's with space-time white noise
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Numerical Methods for Advection Problem
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On the Existence, Uniqueness and Application of the Finite Difference Method for Solving Cauchy-Dirichlet Problem
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Analytical Solution of Vertically Integrated Equations of a Confined Aquifer in two-dimension using Finite Volume method
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Splitting Schemes with Additive Representation of the Operator at the Time Derivative
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Solución numérica de problemas de elasticidad bidimensional, basados en la formulación directa de navier o en funciones potenciales mediante el método de redes: el programa EPSNET_10
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Aplicación del método de redes a la solución de problemas de fricción seca: superficies suaves a escala atómica y superficies a escala macroscópica
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Sobre la adimensionalización discriminada de ecuaciones y sistemas de ecuaciones diferenciales ordinarias, no lineales y solución numérica mediante el método de redes: aplicación a problemas mecánicos
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Higher-Order Accurate Finite Volume Discretization of the Three-Dimensional Poisson Equation Based on An Equation Error Method
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A Reaction–Diffusion–Advection Model for the Establishment and Maintenance of Transport-Mediated Polarity and Symmetry Breaking
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Iterative schemes for coupled flow and transport in porous media -- Convergence and truncation errors
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Controlling numerical diffusion in solving advection-dominated transport problems
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A PRIORI ESTIMATION OF A TIME STEP FOR NUMERICALLY SOLVING PARABOLIC PROBLEMS
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