yusuke1997/dblp-id-title huggingface dataset:
Two-Level Error Estimation for the Integral Fractional Laplacian
Numerical Methods for Simulating the Motion of Porous Balls in Simple 3D Shear Flows Under Creeping Conditions
An hp-Hybrid High-Order Method for Variable Diffusion on General Meshes
Analysis of a Combined Spherical Harmonics and Discontinuous Galerkin Discretization for the Boltzmann Transport Equation
Asymptotically Exact A Posteriori Error Analysis for the Mixed Laplace Eigenvalue Problem
A Gaussian Method for the Square Root of Accretive Operators
Robust Two-level Domain Decomposition Preconditioners for High-contrast Anisotropic Flows in Multiscale Media
Predictor-Corrector Balance Method for the Worst-Case 1D Option Pricing
Singularly Perturbed Convection - Diffusion Problems in One Dimension: Bounds on Derivatives
Optimal Pressure Recovery Using an Ultra-Weak Finite Element Method for the Pressure Poisson Equation and a Least-Squares Approach for the Gradient Equation
Operator Learning Approach for the Limited View Problem in Photoacoustic Tomography
A Quadratic Convergence Yielding Iterative Method for Nonlinear Ill-posed Operator Equations
A Nonconforming Finite Element Approximation for Optimal Control of an Obstacle Problem
Discontinuous Galerkin Methods for the Vlasov-Stokes System
Block Circulant and Toeplitz Structures in the Linearized Hartree-Fock Equation on Finite Lattices: Tensor Approach
Goal-Oriented Error Estimation for the Fractional Step Theta Scheme
Bubbles Enriched Quadratic Finite Element Method for the 3D-Elliptic Obstacle Problem
Some Open Questions in the Numerical Analysis of Singularly Perturbed Differential Equations
On the transmission eigenvalue problem in disjoint domains
Guaranteed Lower Eigenvalue Bounds for Steklov Operators Using Conforming Finite Element Methods
Comparison of the Analytical Approximation Formula and Newton's Method for Solving a Class of Nonlinear Black-Scholes Parabolic Equations
Improved Analysis and Simulation of a Time-Domain Carpet Cloak Model
Estimation of the Time-Dependent Body Force Needed to Exert on a Membrane to Reach a Desired State at the Final Time
Numerical Analysis for the Pure Neumann Control Problem Using the Gradient Discretisation Method
An Arbitrary-Order and Compact-Stencil Discretization of Diffusion on General Meshes Based on Local Reconstruction Operators
Kernel Embedding Based Variational Approach for Low-Dimensional Approximation of Dynamical Systems
A Finite Element Splitting Method for a Convection-Diffusion Problem
Adaptive Image Compression via Optimal Mesh Refinement
Central-Upwind Scheme for Savage-Hutter Type Model of Submarine Landslides and Generated Tsunami Waves
Robust Numerical Upscaling of Elliptic Multiscale Problems at High Contrast
FEM-BEM Coupling for the Maxwell-Landau-Lifshitz-Gilbert Equations via Convolution Quadrature: Weak Form and Numerical Approximation
Stability of Finite-difference Schemes for Semilinear Multidimensional Parabolic Equations
Adaptive Space-Time Finite Element Methods for Non-autonomous Parabolic Problems with Distributional Sources
Stabilizability of Infinite-Dimensional Systems by Finite-Dimensional Controls
Numerical Approximation of Gaussian Random Fields on Closed Surfaces
Multigrid Methods Based on Hodge Decomposition for a Quad-Curl Problem
On the Threshold Condition for Dörfler Marking
Exponentially Convergent Functional-discrete Method for Eigenvalue Transmission Problems with a Discontinuous Flux and the Potential as a Function in the Space L_1
Müntz Spectral Methods for the Time-Fractional Diffusion Equation
An Eclectic View on Numerical Methods for PDEs: Presentation of the Special Issue "Advanced Numerical Methods: Recent Developments, Analysis and Applications"
Discontinuous Petrov-Galerkin Approximation of Eigenvalue Problems
Full discretisation of second-order nonlinear evolution equations: strong convergence and applications
A Hybrid High-Order Method for Highly Oscillatory Elliptic Problems
Convection Problems on Anisotropic Meshes
A Time-Adaptive Space-Time FMM for the Heat Equation
On Cardinal Spline Interpolation
Tensor-Train Ranks for Matrices and Their Inverses
Dual System Least-Squares Finite Element Method for a Hyperbolic Problem
Analysis of a Stabilized CNLF Method with Fast Slow Wave Splittings for Flow Problems
Quasi-Optimality of an AFEM for General Second Order Elliptic PDE
Difference Schemes on Uniform Grids for an Initial-Boundary Value Problem for a Singularly Perturbed Parabolic Convection-Diffusion Equation
Analysis of Robust Parameter-Free Multilevel Methods for Neumann Boundary Control Problems
A Domain Decomposition Scheme for Couplings Between Local and Nonlocal Equations
Electromagnetic Scattering by Isoparametric Elements of Higher Order
On Finite Difference Schemes for Elliptic Equations with Discontinuous Coefficients
A Robust Preconditioned MinRes Solver for Time-periodic Eddy Current Problems
Two-step Bdf Time Discretisation of Nonlinear Evolution Problems Governed by Monotone Operators with Stringly Continuous Peryurbations
A Staggered Discontinuous Galerkin Method for the Simulation of Wave Propagation in Poroelastic Media
Adaptive Strategies for Transport Equations
Finite Difference Methods for the Generator of 1D Asymmetric Alpha-Stable Lévy Motions
An Exact Realization of a Modified Hilbert Transformation for Space-Time Methods for Parabolic Evolution Equations
Analysis of FEAST Spectral Approximations Using the DPG Discretization
Quasi-Optimality of Adaptive Mixed FEMs for Non-selfadjoint Indefinite Second-Order Linear Elliptic Problems
Weighted Estimates of the Cayley Transform Method for Abstract Differential Equations
Hybrid Spectral Difference Methods for an Elliptic Equation
Quenching of Numerical Solutions for Some Semilinear Heat Equations with a Variable Reaction
A Posteriori Error Estimators Based on Equilibrated Fluxes
Chinese-German Computational and Applied Mathematics
A Defect Correction Method for the Evolutionary Convection - Diffusion Problem with Increased Time Accuracy
DPG Methods for a Fourth-Order div Problem
Paralel Predictor-Corrector Schemes for Parabolic Problems on Graphs
Finite Difference Method for a Second-order Ordinary Differential Equation with a Boundary Condition of the Third Kind
Simplified Iteratively Regularized Gauss-Newton Method in Banach Spaces Under a General Source Condition
Numerical Analysis of a Nonlinear Free-Energy Diminishing Discrete Duality Finite Volume Scheme for Convection Diffusion Equations
On the Numerical Solution of Some Non-Linear Stochastic Differential Equations Using the Semi-Discrete Method
Variational Approximation for a Non-Isothermal Coupled Phase-Field System: Structure-Preservation & Nonlinear Stability
An Adaptive Scheme to Handle the Phenomenon of Quenching for a Localized Semilinear Heat Equation with Neumann Boundary Conditions
Afternote to "Coupling at a Distance": Convergence Analysis and A Priori Error Estimates
Numerical Solution to the 3D Static Maxwell Equations in Axisymmetric Singular Domains with Arbitrary Data
On Two Optimal Control Problems for Magnetic Fields
Approximate Solution of a Singular Integral Cauchy-Kernel Equation of the First Kind
Vertex-Based Compatible Discrete Operator Schemes on Polyhedral Meshes for Advection-Diffusion Equations
On the Theory of TE Waves Guided by a Lossy Three-Layer Structure with General Nonlinear Permittivity
Modified Minimal Error Method for Nonlinear Ill-Posed Problems
Positivity-Preserving Numerical Method for a Stochastic Multi-Group SIR Epidemic Model
Numerical Solution of Direct and Inverse Scattering Problems in 1D with a General Nonlinearity
Fractional Laplacian - Quadrature Rules for Singular Double Integrals in 3D
A Metod with a Controllable Exponential Convergence Rate for Nonlinear Differential Operator Equations
Equilibrated Stress Tensor Reconstruction and A Posteriori Error Estimation for Nonlinear Elasticity
Quasi-overlapping Semi-discrete Schwarz Waveform Relaxation Algorithms: The Hyperbolic Problem
An Optimal Adaptive Finite Element Method for an Obstacle Problem
Functional A Posteriori Error Estimates for Parabolic Time-Periodic Boundary Value Problems
High-Order Compact Finite Difference Methods for Solving the High-Dimensional Helmholtz Equations
Anisotropic Adaptive Finite Elements for an Elliptic Problem with Strongly Varying Diffusion Coefficient
Defects in Active Nematics - Algorithms for Identification and Tracking
One Hundred Years of the Galerkin Method
Operator Differential-Algebraic Equations Arising in Fluid Dynamics
Superconvergent DPG Methods for Second-Order Elliptic Problems
Preconditioning Techniques Based on the Birkhoff-von Neumann Decomposition
A Natural Adaptive Nonconforming FEM Of Quasi-Optimal Complexity
On the Recovery of Continuous Functions from Noisy Fourier Coefficients
An Equation Decomposition Based Tailored Finite Point Method for Linearized Incompressible Flow in Two-Dimensional Space
Optimal Control for the Thin Film Equation: Convergence of a Multi-Parameter Approach to Track State Constraints Avoiding Degeneracies
Non-intrusive Tensor Reconstruction for High-Dimensional Random PDEs
Optimal Strong Rates of Convergence for a Space-Time Discretization ofthe Stochastic Allen-Cahn Equation with Multiplicative Noise
Stability and Experimental Comparison of Prototypical Iterative Schemes for Total Variation Regularized Problems
Integral Representations and Quadrature Schemes for the Modified Hilbert Transformation
A Fully-Mixed Finite Element Method for the n-Dimensional Boussinesq Problem with Temperature-Dependent Parameters
The Boundary Effect in the Accuracy Estimate for the Grid Solution of the Fractional Differential Equation
Tensor-Product Vertex Patch Smoothers for Biharmonic Problems
Error Analysis of an Unconditionally Energy Stable Local Discontinuous Galerkin Scheme for the Cahn-Hilliard Equation with Concentration-Dependent Mobility
Numerical Analysis and Computation of a Type of IMEX Method for the Time-Dependent Natural Convection Problem
Robust Hybrid High-Order Method on Polytopal Meshes with Small Faces
A Finite Element Analysis in Balanced Norms for a Coupled System of Singularly Perturbed Reaction-Diffusion Equations
High-Order Semi-Discrete Central-Upwind Schemes with Lax-Wendroff-Type Time Discretizations for Hamilton-Jacobi Equations
Simultaneous Recovery of Two Time-Dependent Coefficients in a Multi-Term Time-Fractional Diffusion Equation
Analysis of Backward Euler Primal DPG Methods
Equal-order Finite Elements for the Hydrostatic Stokes Problem
Bernoulli Free Boundary Problems Under Uncertainty: The Convex Case
Convergence of Adaptive Crouzeix-Raviart and Morley FEM for Distributed Optimal Control Problems
Error Bounds for Finite Element Methods with Generalized Cubic Splines for a 4-th Order Ordinary Differential Equation with Nonsmooth Data
Symbolic Algorithm of the Functional-Discrete Method for a Sturm-Liouville Problem with a Polynomial Potential
Finite Element Analysis of an Exponentially Graded Mesh for Singularly Perturbed Problems
Computational Methods in Applied Mathematics (CMAM 2022 Conference, Part 1)
Qualitative Properties of Space-Dependent SIR Models with Constant Delay and Their Numerical Solutions
Reliable Methods of Mathematical Modeling
Hierarchical Argyris Finite Element Method for Adaptive and Multigrid Algorithms
Partial Relaxation of 𝐶 0 Vertex Continuity of Stresses of Conforming Mixed Finite Elements for the Elasticity Problem
Nonlinear PDE Models in Semi-relativistic Quantum Physics
GMRES Convergence Bounds for Eigenvalue Problems
Mixed Finite Element Analysis of Eigenvalue Problems on Curved Domains
The Construction of the Coarse de Rham Complexes with Improved Approximation Properties
Convergence in Positive Time for a Finite Difference Method Applied to a Fractional Convection-Diffusion Problem
Recent Advances in Least-Squares and Discontinuous Petrov-Galerkin Finite Element Methods
An Interior Maximum Norm Error Estimate for the Symmetric Interior Penalty Method on Planar Polygonal Domains
Some Error Estimates for the Finite Volume Element Method for a Parabolic Problem
A General Superapproximation Result
Application of Fourier Truncation Method to Numerical Differentiation for Bivariate Functions
Simplified Levenberg-Marquardt Method in Hilbert Spaces
Diffeomorphic Matching and Dynamic Deformable Surfaces in 3d Medical Imaging
Explicit and Implicit Difference Methods for Quasilinear First Order Partial Functional Differential Equations
Sino-German Computational and Applied Mathematics
Numerical Analysis of a Second-Order Algorithm for the Time-Dependent Natural Convection Problem
Analysis and Systematic Discretization of a Fokker-Planck Equation with Lorentz Force
Stability of Petrov-Galerkin Discretizations: Application to the Space-Time Weak Formulation for Parabolic Evolution Problems
Two Regularization Methods for Identifying the Initial Value of Time-Fractional Telegraph Equation
Low-Rank Space-Time Decoupled Isogeometric Analysis for Parabolic Problems with Varying Coefficients
A Novel Study Based on Shifted Jacobi Polynomials to Find the Numerical Solutions of Nonlinear Stochastic Differential Equations Driven by Fractional Brownian Motion
Spectral, Tensor and Domain Decomposition Methods for Fractional PDEs
A Reliable Residual Based A Posteriori Error Estimator for a Quadratic Finite Element Method for the Elliptic Obstacle Problem
The Valuation of Carbon Bonds Linked with Carbon Price
Tensor-Product Space-Time Goal-Oriented Error Control and Adaptivity With Partition-of-Unity Dual-Weighted Residuals for Nonstationary Flow Problems
A Symmetric Interior Penalty Method for an Elliptic Distributed Optimal Control Problem with Pointwise State Constraints
Space-Time Least-Squares Finite Element Methods for Parabolic Distributed Optimal Control Problems
An Efficient Numerical Method for Time Domain Electromagnetic Wave Propagation in Co-axial Cables
A Second-Order Difference Scheme for Generalized Time-Fractional Diffusion Equation with Smooth Solutions
Positivity Preserving Gradient Approximation with Linear Finite Elements
A Factorization of Least-Squares Projection Schemes for Ill-Posed Problems
A Finite Element Method for Two-Phase Flow with Material Viscous Interface
A Numerical Assessment of Finite Element Discretizations for Convection-Diffusion-Reaction Equations Satisfying Discrete Maximum Principles
Retraction of: Stabilizability of Infinite-Dimensional Systems by Finite-Dimensional Controls
The Convection-Diffusion-Reaction Equation in Non-Hilbert Sobolev Spaces: A Direct Proof of the Inf-Sup Condition and Stability of Galerkin's Method
A Conforming Virtual Element Method for Parabolic Integro-Differential Equations
Presentation of the Special Issue on Recent Advances in PDE: Theory, Computations and Applications
A Differentiable Mapping of Mesh Cells Based on Finite Elements on Quadrilateral and Hexahedral Meshes
Estimates of the Distance to the Set of Solenoidal Vector Fields and Applications to A Posteriori Error Control
Space-Time Residual-Based A Posteriori Estimators for the A-ϕ Magnetodynamic Formulation of the Maxwell System
Finite Difference Method on Non-Uniform Meshes for Time Fractional Diffusion Problem
An Effective Diffeomorphic Model and Its Fast Multigrid Algorithm for Registration of Lung CT Images
A Class of Meshless Structure-Preserving Algorithms for the Nonlinear Schrödinger Equation
Method for the Calculation of all Zeros of an Analytic Function Based on the Kantorovich Theorem
An Adaptive Finite Element Multi-Mesh Approach for Interacting Deformable Objects in Flow
A FETI-DP Method for Crouzeix-Raviart Finite Element Discretizations
DMRG Approach to Fast Linear Algebra in the TT-Format
Hybridization of Mixed High-Order Methods on General Meshes and Application to the Stokes Equations
A General Error Estimate For Parabolic Variational Inequalities
Approximate Deconvolution with Correction - A High Fidelity Model for Magnetohydrodynamic Flows at High Reynolds and Magnetic Reynolds Numbers
Space-Time Discontinuous Galerkin Discretizations for Linear First-Order Hyperbolic Evolution Systems
Preface: Numerical Analysis of Fractional Differential Equations
QTT Representation of the Hartree and Exchange Operators in Electronic Structure Calculations
An L 𝓅 -DPG Method with Application to 2D Convection-Diffusion Problems
Artificial Compressibility Methods for the Incompressible Navier-Stokes Equations Using Lowest-Order Face-Based Schemes on Polytopal Meshes
Norms of Discrete Trace Functions of H¹(Ω) and H 2 (Ω)
A Problem-Independent Slope Limiting Algorithm for the Runge-Kutta Discontinuous Galerkin Method
A Novel Fully Decoupled Scheme for the MHD System with Variable Density
The Discrete Steklov-Poincaré Operator Using Algebraic Dual Polynomials
Stable Non-symmetric Coupling of the Finite Volume Method and the Boundary Element Method for Convection-Dominated Parabolic-Elliptic Interface Problems
Convergence of a Finite Difference Scheme for a Flame/Smoldering-Front Evolution Equation and Its Application to Wavenumber Selection
Quantized-TT-Cayley Transform for Computing the Dynamics and the Spectrum of High-Dimensional Hamiltonians
A Low-Dimensional Compact Finite Difference Method on Graded Meshes for Time-Fractional Diffusion Equations
Error Estimates for the Numerical Approximation of Unregularized Sparse Parabolic Control Problems
Multi-scale Method for the Crack Problem in Microstructural Materials
Efficiency and Optimality of Some Weighted-Residual Error Estimator for Adaptive 2D Boundary Element Methods
Domain Decomposition Methods for Recovering Robin Coefficients in Elliptic and Parabolic Systems
Numerical Solution of Systems of Singularly Perturbed Differential Equations
Functional A Posteriori Error Estimates for the Parabolic Obstacle Problem
Guaranteed Lower and Upper Bounds for Eigenvalues of Second Order Elliptic Operators in any Dimension
The Determinant Method for Nonselfadjoint Singular Sturm - Liouville Problems
Numerical Approximation of Multi-Phase Penrose-Fife Systems
A Posteriori Error Estimator for Weak Galerkin Finite Element Method for Stokes Problem Using Diagonalization Techniques
On p-Robust Saturation on Quadrangulations
On an Optimal AFEM for Elastoplasticity
An Unfitted dG Scheme for Coupled Bulk-Surface PDEs on Complex Geometries
A Numerical Study of a Stabilized Hyperbolic Equation Inspired by Models for Bio-Polymerization
Towards Pressure-Robust Mixed Methods for the Incompressible Navier-Stokes Equations
A Boundary Integral Formulation and a Topological Energy-Based Method for an Inverse 3D Multiple Scattering Problem with Sound-Soft, Sound-Hard, Penetrable, and Absorbing Objects
Error Estimates on Arbitrary Grids for a 2nd-order Mimetic Discretization of Boundary-value Problems for Linear Odes
A Priori and A Posteriori Estimates of Conforming and Mixed FEM for a Kirchhoff Equation of Elliptic Type
Space-Time FEM for the Vectorial Wave Equation under Consideration of Ohm's Law
The Mass-Lumped Midpoint Scheme for Computational Micromagnetics: Newton Linearization and Application to Magnetic Skyrmion Dynamics
Fast Integration of DPG Matrices Based on Sum Factorization for all the Energy Spaces
A Nonconforming Finite Element Method for an Acoustic Fluid-Structure Interaction Problem
Legendre Collocation Method for Volterra Integro-Differential Algebraic Equation
Arbitrary High-Order Unconditionally Stable Methods for Reaction-Diffusion Equations with inhomogeneous Boundary Condition via Deferred Correction
Multiscale Sub-grid Correction Method for Time-Harmonic High-Frequency Elastodynamics with Wave Number Explicit Bounds
Potentialities of the Robust Multigrid Technique
A Discontinuous Galerkin and Semismooth Newton Approach for the Numerical Solution of Bingham Flow with Variable Density
An Adaptive Two-Grid Solver for DPG Formulation of Compressible Navier-Stokes Equations in 3D
Contact Problems in Porous Media
The Numerical Computation of the Time Fractional Schrödinger Equation on an Unbounded Domain
A 𝐶1-𝑃7 Bell Finite Element on Triangle
Stability and Convergence of Two Three-Field Finite Element Formulations for Elasticity
Contractive Local Adaptive Smoothing Based on Dörfler's Marking in A-Posteriori-Steered p-Robust Multigrid Solvers
Super Exponentially Convergent Approximation to the Solution of the Schrödinger Equation in Abstract Setting
An Adaptive Finite Element Scheme for the Hellinger-Reissner Elasticity Mixed Eigenvalue Problem
An Optimal Multilevel Method with One Smoothing Step for the Morley Element
An Efficient Algorithm for Computation of MHD Flow Ensembles
Poincaré Inequality for a Mesh-Dependent 2-Norm on Piecewise Linear Surfaces with Boundary
Adaptive Directional Compression of High-Frequency Helmholtz Boundary Element Matrices
Minimax Rates for Statistical Inverse Problems Under General Source Conditions
A Substructuring Domain Decomposition Scheme for Unsteady Problems
The DPG Method for the Convection-Reaction Problem, Revisited
Simultaneous Reconstruction of Speed of Sound and Nonlinearity Parameter in a Paraxial Model of Vibro-Acoustography in Frequency Domain
Tailored Finite Point Method for Parabolic Problems
A Totally Relaxed, Self-Adaptive Subgradient Extragradient Method for Variational Inequality and Fixed Point Problems in a Banach Space
Adaptive Absorbing Boundary Layer for the Nonlinear Schrödinger Equation
Finite Difference Approximation of a Generalized Time-Fractional Telegraph Equation
Finite Element Penalty Method for the Oldroyd Model of Order One with Non-smooth Initial Data
Numerical Solution of a Nonlocal Problem Modelling Ohmic Heating of Foods
An Algorithm for the Numerical Solution of Two-Sided Space-Fractional Partial Differential Equations
Simulation of Composite Materials by a Network FEM with Error Control
A Robust Weak Galerkin Finite Element Method for Linear Elasticity with Strong Symmetric Stresses
8th Chinese-German Workshop on Computational and Applied Mathematics
Fast Barrier Option Pricing by the COS BEM Method in Heston Model (with Matlab Code)
A Posteriori Error Estimation for Planar Linear Elasticity by Stress Reconstruction
High Order Energy Stable Local Discontinuous Galerkin Methods for Camassa-Holm-Novikov Equations
Analysis of Model Variance for Ensemble Based Turbulence Modeling
A Locking-Free DPG Scheme for Timoshenko Beams
Tucker Tensor Analysis of Matérn Functions in Spatial Statistics
Polynomial of Best Uniform Approximation to 1/x and Smoothing in Two-level Methods
Dimensionally Consistent Preconditioning for Saddle-Point Problems
Dual-Weighted Residual A Posteriori Error Estimates for a Penalized Phase-Field Slit Discontinuity Problem
Numerical Solution of Parabolic Problems Based on a Weak Space-Time Formulation
Construction of Scalar and Vector Finite Element Families on Polygonal and Polyhedral Meshes
A Gradient Discretisation Method for Anisotropic Reaction-Diffusion Models with Applications to the Dynamics of Brain Tumors
Regular Decompositions for H(div) Spaces
A Hodge Decomposition Finite Element Method for an Elliptic Maxwell Boundary Value Problem on General Polyhedral Domains
Finite Element Approximations for PDEs with Irregular Dirichlet Boundary Data on Boundary Concentrated Meshes
Mapped Coercivity for the Stationary Navier-Stokes Equations and Their Finite Element Approximations
Robust Multigrid Methods for Discontinuous Galerkin Discretizations of an Elliptic Optimal Control Problem
Finite Volume Methods for Well-Driven Flows in Anisotropic Porous Media
Computational Survey on A Posteriori Error Estimators for the Crouzeix-Raviart Nonconforming Finite Element Method for the Stokes Problem
Numerical Computation of the Inverse Born Approximation for the Nonlinear Schrödinger Equation in Two Dimensions
A Fitted Finite-Volume Method Combined with the Lagrangian Derivative for the Weather Option Pricing Model
Efficient P1-FEM for Any Space Dimension in Matlab
Stability of a Numerical Method for a Space-time-fractional Telegraph Equation
On an Efficient Finite Element Method for Navier-Stokes-ω with Strong Mass Conservation
Implicit Runge-Kutta Schemes for Optimal Control Problems with Evolution Equations
The Contribution of Piotr Matus to Computational Mathematics
Finite Element Formulations for Maxwell's Eigenvalue Problem Using Continuous Lagrangian Interpolations