yusuke1997/dblp-id-title huggingface dataset:
Block-Centered Finite Difference Method for Simulating Compressible Wormhole Propagation
A Simplified Formulation of the Flux Reconstruction Method
Stabilization of the Spectral Element Method in Convection Dominated Flows by Recovery of Skew-Symmetry
Energy Stable Flux Reconstruction Schemes for Advection-Diffusion Problems on Tetrahedra
Mixed Finite Element Method for Modified Poisson-Nernst-Planck/Navier-Stokes Equations
Fast Sweeping Fifth Order WENO Scheme for Static Hamilton-Jacobi Equations with Accurate Boundary Treatment
High-Order CENO Finite-Volume Scheme with Anisotropic Adaptive Mesh Refinement: Efficient Inexact Newton Method for Steady Three-Dimensional Flows
High-Order Finite-Volume TENO Schemes with Dual ENO-Like Stencil Selection for Unstructured Meshes
Tensor Completion via A Generalized Transformed Tensor T-Product Decomposition Without t-SVD
High Order C 0 -Continuous Galerkin Schemes for High Order PDEs, Conservation of Quadratic Invariants and Application to the Korteweg-de Vries Model
A Fast Solver for Boundary Integral Equations of the Modified Helmholtz Equation
An Energy-Based Summation-by-Parts Finite Difference Method For the Wave Equation in Second Order Form
Image Segmentation Using Euler's Elastica as the Regularization
Approximate Homogenization of Fully Nonlinear Elliptic PDEs: Estimates and Numerical Results for Pucci Type Equations
Non-Linear PML Equations for Time Dependent Electromagnetics in Three Dimensions
Correction to: Monotone Meshfree Methods for Linear Elliptic Equations in Non-divergence Form via Nonlocal Relaxation
hp-Multigrid Preconditioner for a Divergence-Conforming HDG Scheme for the Incompressible Flow Problems
Constrained High-Index Saddle Dynamics for the Solution Landscape with Equality Constraints
Analysis of a Discontinuous Finite Element Method for the Coupled Stokes and Darcy Problems
A Spectral Element Method to Price European Options. I. Single Asset with and without Jump Diffusion
Generalized Boundary Integral Equation Method for Boundary Value Problems of Two-D Isotropic Lattice Laplacian
Spectral Element Method for Mixed Inhomogeneous Boundary Value Problems of Fourth Order
A Reduced Radial Basis Function Method for Partial Differential Equations on Irregular Domains
High-Order Linearly Implicit Structure-Preserving Exponential Integrators for the Nonlinear Schrödinger Equation
An Auto-Adaptive Multidomain Spectral Technique for Linear Stability Analysis: Application to Viscous Compressible Flows
An Efficient and Accurate Penalty-projection Eddy Viscosity Algorithm for Stochastic Magnetohydrodynamic Flow Problems
An Efficient Discretization of the Navier-Stokes Equations in an Axisymmetric Domain. Part 1: The Discrete Problem and its Numerical Analysis
Energy-Preserving Algorithms for the Benjamin Equation
A Finite Difference Method for the Variational p-Laplacian
Scale-dependent intermittency and coherence in turbulence
CBS Constants & Their Role in Error Estimation for Stochastic Galerkin Finite Element Methods
Error Estimates for Finite Element Approximation of Dirichlet Boundary Control for Stokes Equations in $\mathbf{L} ^2(\Gamma )$
Separation of Variables for Function Generated High-Order Tensors
Fast Evaluation of Far-Field Signals for Time-Domain Wave Propagation
An Improved Arrow-Hurwicz Method for the Steady-State Navier-Stokes Equations
Accelerating the Arnoldi-Type Algorithm for the PageRank Problem and the ProteinRank Problem
A High Order Mixed-FEM for Diffusion Problems on Curved Domains
Numerical Convergence Study of Nearly Incompressible, Inviscid Taylor-Green Vortex Flow
A Pseudostress-Based Mixed-Primal Finite Element Method for Stress-Assisted Diffusion Problems in Banach Spaces
Convergence and Optimality of the Adaptive Nonconforming Linear Element Method for the Stokes Problem
The Hermite Finite Volume Method with Global Conservation Law
A Numerical Study of Diagonally Split Runge-Kutta Methods for PDEs with Discontinuities
Second-Order Asymptotic Analysis and Computations of Axially and Spherically Symmetric Piezoelectric Problems for Composite Structures
Generalised Polynomial Chaos for a Class of Linear Conservation Laws
A Spectral Element Framework for Option Pricing Under General Exponential Lévy Processes
An Exponential Integrator Scheme for Time Discretization of Nonlinear Stochastic Wave Equation
Convergence Analysis of Krylov Subspace Spectral Methods for Reaction-Diffusion Equations
Multirate Timestepping Methods for Hyperbolic Conservation Laws
New Finite Difference Hermite WENO Schemes for Hamilton-Jacobi Equations
Finite Element Discretizations for Variable-Order Fractional Diffusion Problems
Error Estimates of Conforming Virtual Element Methods with a Modified Symmetric Nitsche's Formula for 2D Semilinear Parabolic Equations
A Quasi-Conservative Discontinuous Galerkin Method for Multi-component Flows Using the Non-oscillatory Kinetic Flux II: ALE Framework
Two Efficient and Reliable a posteriori Error Estimates for the Local Discontinuous Galerkin Method Applied to Linear Elliptic Problems on Cartesian Grids
An Implicit Scheme for American Put Options
On Application of the Weak Galerkin Finite Element Method to a Two-Phase Model for Subsurface Flow
An Accelerated Method for Nonlinear Elliptic PDE
Higher Order Time Stepping Methods for Subdiffusion Problems Based on Weighted and Shifted Grünwald-Letnikov Formulae with Nonsmooth Data
Spectral Method For Navier-Stokes Equations With Non-slip Boundary Conditions By Using Divergence-Free Base Functions
Sampling and Change of Measure for Monte Carlo Integration on Simplices
Very High-Order A-Stable Stiffly Accurate Diagonally Implicit Runge-Kutta Methods with Error Estimators
Leapfrog Time-Stepping for Hermite Methods
Bregmanized Domain Decomposition for Image Restoration
Explicit Deferred Correction Methods for Second-Order Forward Backward Stochastic Differential Equations
A Kinetic Energy Preserving DG Scheme Based on Gauss-Legendre Points
Spectral Analysis of τ-Preconditioners for Two-Level Toeplitz Systems with Applications in Nonlocal Diffusion Models
Numerical Analysis of Second Order, Fully Discrete Energy Stable Schemes for Phase Field Models of Two-Phase Incompressible Flows
Analytical Expansion and Numerical Approximation of the Fermi-Dirac Integrals F F j (x) of Order j=-1/2 and j=1/2
Projection Based Semi-Implicit Partitioned Reduced Basis Method for Fluid-Structure Interaction Problems
A Novel Parameter-Free and Locking-Free Enriched Galerkin Method for Linear Elasticity
α-Robust Error Analysis of Two Nonuniform Schemes for Subdiffusion Equations with Variable-Order Derivatives
On Chebyshev-Davidson Method for Symmetric Generalized Eigenvalue Problems
A Superconvergent $$C^0$$ C 0 Discontinuous Galerkin Method for Kirchhoff Plates: Error Estimates, Hybridization and Postprocessing
An Efficient Algorithm for Accelerating Monte Carlo Approximations of the Solution to Boundary Value Problems
A New Mixed Finite Element Method for Elastodynamics with Weak Symmetry
Error Boundedness of Discontinuous Galerkin Spectral Element Approximations of Hyperbolic Problems
Space-Fractional Diffusion Equation with Variable Coefficients: Well-posedness and Fourier Pseudospectral Approximation
Recovering High-Order Accuracy in WENO Computations of Steady-State Hyperbolic Systems
Stability of Radial Basis Function Methods for Convection Problems on the Circle and Sphere
Goal-Oriented Sensitivity Analysis of Hyperparameters in Deep Learning
Quasi Non-Negative Quaternion Matrix Factorization with Application to Color Face Recognition
Image Decomposition using a Local Gradient Constraint
Piecewise-Smooth Image Segmentation Models with $$L^1$$ L 1 Data-Fidelity Terms
Flux-free Finite Element Method with Lagrange Multipliers for Two-fluid Flows
Level Set Calculations for Incompressible Two-Phase Flows on a Dynamically Adaptive Grid
A Modified Fourier-Galerkin Method for the Poisson and Helmholtz Equations
The High Order Augmented Finite Volume Methods Based on Series Expansion for Nonlinear Degenerate Parabolic Equations
Outflow Boundary Conditions for the Fourier Transformed One-Dimensional Vlasov-Poisson System
A Rapid Numerical Method for the Mullins-Sekerka Flow with Application to Contact Angle Problems
Sensitivity-Driven Adaptive Construction of Reduced-space Surrogates
The Cartesian Grid Active Flux Method with Adaptive Mesh Refinement
Dispersive and Dissipative Properties of Discontinuous Galerkin Finite Element Methods for the Second-Order Wave Equation
Local a Posteriori Error Analysis of Finite Element Method for Parabolic Boundary Control Problems
Finite Element Grad Grad Complexes and Elasticity Complexes on Cuboid Meshes
A Posteriori Error Estimation for a Finite Volume Discretization on Anisotropic Meshes
Characterizing Strong Stability Preserving Additive Runge-Kutta Methods
Second Order Fully Semi-Lagrangian Discretizations of Advection-Diffusion-Reaction Systems
Error Analysis of a Decoupled Finite Element Method for Quad-Curl Problems
Asymptotic Preserving Scheme for Euler System with Large Friction
Equal Order Discontinuous Finite Volume Element Methods for the Stokes Problem
Free-Stream Preserving Finite Difference Schemes for Ideal Magnetohydrodynamics on Curvilinear Meshes
Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering for Discontinuous Galerkin Solutions over Nonuniform Meshes: Superconvergence and Optimal Accuracy
A Well-Balanced Semi-implicit IMEX Finite Volume Scheme for Ideal Magnetohydrodynamics at All Mach Numbers
High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schrödinger-Poisson Problem
Domain Decomposition Algorithms for Two Dimensional Linear Schrödinger Equation
Assessment of a Non-Conservative Four-Equation Multiphase System with Phase Transition
HWENO Schemes Based on Compact Differencefor Hyperbolic Conservation Laws
A New Level-Set Model for the Representation of Non-Smooth Geometries
Slice-Wise Irregular Tensor Decomposition and Its Application
Finite Element Analysis of the Time-Fractional Stokes System with Nonsmooth Initial Data
High-Order Mixed Current Basis Functions for Electromagnetic Scattering of Curved Surfaces
Sharp A Posteriori Error Estimates for Optimal Control Governed by Parabolic Integro-Differential Equations
Dispersion Relation Preserving Combined Compact Difference Schemes for Flow Problems
Geometric Applications of the Split Bregman Method: Segmentation and Surface Reconstruction
An Extrapolation Cascadic Multigrid Method Combined with a Fourth-Order Compact Scheme for 3D Poisson Equation
Fourier Type Super Convergence Study on DDGIC and Symmetric DDG Methods
Padé-type Approximations to the Resolvent of Fractional Powers of Operators
Mixed Methods for a Stream-Function - Vorticity Formulation of the Axisymmetric Brinkman Equations
A Third Order Exponential Time Differencing Numerical Scheme for No-Slope-Selection Epitaxial Thin Film Model with Energy Stability
A Discontinuous Galerkin Method for the Coupled Stokes and Darcy Problem
High Order Finite Difference Approximations of Electromagnetic Wave Propagation Close to Material Discontinuities
A New Insight on Augmented Lagrangian Method with Applications in Machine Learning
Parametrized Positivity Preserving Flux Limiters for the High Order Finite Difference WENO Scheme Solving Compressible Euler Equations
Generalized Exponential Time Differencing Schemes for Stiff Fractional Systems with Nonsmooth Source Term
High Order Fast Sweeping Methods for Static Hamilton-Jacobi Equations
A High-Order Dual Robust Virtual Element Method for the Inductionless Magnetohydrodynamic Equations
Characteristic Tailored Finite Point Method for Convection-Dominated Convection-Diffusion-Reaction Problems
Application of a Spectral Element Method to Two-Dimensional Forward-Facing Step Flow
A High-Order Shifted Boundary Virtual Element Method for Poisson Equations on 2D Curved Domains
hp-Optimal Interior Penalty Discontinuous Galerkin Methods for the Biharmonic Problem
A Barzilai-Borwein Gradient Algorithm for Spatio-Temporal Internet Traffic Data Completion via Tensor Triple Decomposition
Error Estimates for an Immersed Finite Element Method for Second Order Hyperbolic Equations in Inhomogeneous Media
The Splitting Characteristic Finite Difference Domain Decomposition Scheme for Solving Time-Fractional MIM Nonlinear Advection-Diffusion Equations
A MAC Scheme for Coupled Stokes-Darcy Equations on Non-uniform Grids
Adapting Cubic Hermite Splines to the Presence of Singularities Through Correction Terms
Adaptive Finite Element Approximation for an Elliptic Optimal Control Problem with Both Pointwise and Integral Control Constraints
Fully Discretized Energy Stable Schemes for Hydrodynamic Equations Governing Two-Phase Viscous Fluid Flows
Certified Offline-Free Reduced Basis (COFRB) Methods for Stochastic Differential Equations Driven by Arbitrary Types of Noise
Supervised Low-Rank Semi-nonnegative Matrix Factorization with Frequency Regularization for Forecasting Spatio-temporal Data
High Order Stable Finite Difference Methods for the Schrödinger Equation
On a Goal-Oriented Version of the Proper Generalized Decomposition Method
Efficient GPU Implementation of Multidimensional Incomplete Riemann Solvers for Hyperbolic Nonconservative Systems: Applications to Shallow Water Systems with Topography and Dry Areas
Horizontal Large Eddy Simulation of Stratified Mixing in a Lock-Exchange System
A Posteriori Error Estimator for Elliptic Interface Problems in a Fictitious Domain Formulation
Multilevel Preconditioners for Reaction-Diffusion Problems with Discontinuous Coefficients
A Contour-Integral Based Method with Schur-Rayleigh-Ritz Procedure for Generalized Eigenvalue Problems
An Exponentially Convergent Scheme in Time for Time Fractional Diffusion Equations with Non-smooth Initial Data
Entropy Stable Method for the Euler Equations Revisited: Central Differencing via Entropy Splitting and SBP
A Three-Dimensional Continuum Simulation Method for Grain Boundary Motion Incorporating Dislocation Structure
One-parameter Galerkin Finite Element Methods for Neutral Reaction-diffusion Equations with Piecewise Continuous Arguments
Overlapping Schwarz and Spectral Element Methods for Linear Elasticity and Elastic Waves
Segmentation of Three-Dimensional Images with Parametric Active Surfaces and Topology Changes
Optimal error bounds on an exponential wave integrator Fourier spectral method for fractional nonlinear Schrödinger equations with low regularity potential and nonlinearity
Operator Bounds and Time Step Conditions for the DG and Central DG Methods
A Dual Semismooth Newton Based Augmented Lagrangian Method for Large-Scale Linearly Constrained Sparse Group Square-Root Lasso Problems
Unconditional Energy Dissipation and Error Estimates of the SAV Fourier Spectral Method for Nonlinear Fractional Generalized Wave Equation
A Modified Tseng Splitting Method with Double Inertial Steps for Solving Monotone Inclusion Problems
Performance Comparison of HPX Versus Traditional Parallelization Strategies for the Discontinuous Galerkin Method
Analysis and Hermite Spectral Approximation of Diffusive-Viscous Wave Equations in Unbounded Domains Arising in Geophysics
Stable Dynamical Adaptive Mesh Refinement
A New Nonsymmetric Discontinuous Galerkin Method for Time Dependent Convection Diffusion Equations
A Mixed Finite Element Method for the Biharmonic Problem Using Biorthogonal or Quasi-Biorthogonal Systems
An Efficient Lagrangian Interpolation Scheme for Computing Flow Maps and Line Integrals using Discrete Velocity Data
High Order Still-Water and Moving-Water Equilibria Preserving Discontinuous Galerkin Methods for the Ripa Model
Error Estimates of a Pressure-Stabilized Characteristics Finite Element Scheme for the Oseen Equations
Uniform Stability and Convergence with Respect to (ν , μ , s, 1-σ ) of the Three Iterative Finite Element Solutions for the 3D Steady MHD Equations
Constraints Preserving Lax-Wendroff Flux Reconstruction for Relativistic Hydrodynamics with General Equations of State
Negative-Order Norm Estimates for Nonlinear Hyperbolic Conservation Laws
Convergent Non-overlapping Domain Decomposition Methods for Variational Image Segmentation
A New ADER Method Inspired by the Active Flux Method
High Resolution, Entropy-Consistent Scheme Using Flux Limiter for Hyperbolic Systems of Conservation Laws
Additive Schwarz Methods for Fourth-Order Variational Inequalities
Space-Time Adaptive Methods for the Mixed Formulation of a Linear Parabolic Problem
Numerical Computation of Partial Differential Equations by Hidden-Layer Concatenated Extreme Learning Machine
POD-Based Mixed-Integer Optimal Control of the Heat Equation
Superconvergence Analysis of Curlcurl-Conforming Elements on Rectangular Meshes
Accelerated Smoothing Hard Thresholding Algorithms for ℓ 0 Regularized Nonsmooth Convex Regression Problem
Correction to: A Line Search Based Proximal Stochastic Gradient Algorithm with Dynamical Variance Reduction
Reduced Projection Method for Photonic Moiré Lattices
A Bayesian Framework for Spectral Reprojection
A Positivity-Preserving and Robust Fast Solver for Time-Fractional Convection-Diffusion Problems
A Grid-Overlay Finite Difference Method for Inhomogeneous Dirichlet Problems of the Fractional Laplacian on Arbitrary Bounded Domains
L infinity -Stable Approximation of a Solution to Div(Y) = f for f element of L 2 in Two Dimensions
Sparsity Enforcing Edge Detection Method for Blurred and Noisy Fourier data
Semi-Lagrangian Runge-Kutta Exponential Integrators for Convection Dominated Problems
Hyperconcentrated 1D Shallow Flows on Fixed Bed with Geometrical Source Term Due to a Bottom Step
Numerical Simulations on Stationary States for Rotating Two-Component Bose-Einstein Condensates
Compatibility of Collocation Error Analyses for Volterra Integral Equations with Smooth and Weakly Singular Kernels
Performance of the Unstructured-Mesh, SWAN+ADCIRC Model in Computing Hurricane Waves and Surge
Collocation Methods for General Caputo Two-Point Boundary Value Problems
A Nonconforming Finite Element Method for the Quad-Curl Hodge-Laplacian Problem in Two Dimensions
Grad-div Stabilization for the Evolutionary Oseen Problem with Inf-sup Stable Finite Elements
A Partition of Unity Method with Penalty for Fourth Order Problems
Efficient Conformal Parameterization of Multiply-Connected Surfaces Using Quasi-Conformal Theory
Efficient Laplace-Modified Galerkin Quadratic Spline Methods for General Parabolic Problems with Time-Dependent Variable Coefficients
Discovery of Subdiffusion Problem with Noisy Data via Deep Learning
An Implementable Splitting Algorithm for the ℓ 1 -norm Regularized Split Feasibility Problem
Dense Output for Strong Stability Preserving Runge-Kutta Methods
On Error Bounds of Finite Difference Approximations to Partial Differential Equations - Temporal Behavior and Rate of Convergence
Analysis of the ELEMENT OF -Expansion in Turbulence Theory: Approximate Renormalization Group for Diffusion of a Passive Scalar in a Random Velocity Field
Pseudo Spectral Methods Applied to Problems in Elasticity
A Spectral Element Approximation to Price European Options. II. The Black-Scholes Model with Two Underlying Assets
Asymptotic Stability of Many Numerical Schemes for Phase-Field Modeling
Bifidelity Data-Assisted Neural Networks in Nonintrusive Reduced-Order Modeling
One-Sided Position-Dependent Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering Over Uniform and Non-uniform Meshes
An Efficient Iterative Method for Reconstructing Surface from Point Clouds
An Adaptive ANOVA Stochastic Galerkin Method for Partial Differential Equations with High-dimensional Random Inputs
Order of Convergence of Splitting Schemes for Deterministic/Stochastic Gross-Pitaevskii Equations with Rotating Angular Momentum
Quasi-Optimal Convergence Rate of an Adaptive Weakly Over-Penalized Interior Penalty Method
Entropy Stable Schemes for the Shear Shallow Water Model Equations
Contact Discontinuity Capturing Schemes for Linear Advection and Compressible Gas Dynamics
High Order Numerical Discretization for Hamilton-Jacobi Equations on Triangular Meshes
Correction to: A Finite Element/Operator-Splitting Method for the Numerical Solution of the Two Dimensional Elliptic Monge-Ampère Equation
Treatment of Complex Interfaces for Maxwell's Equations with Continuous Coefficients Using the Correction Function Method
A Fast Explicit Operator Splitting Method for Modified Buckley-Leverett Equations
A Quadratic Discontinuous Finite Volume Element Scheme for Stokes Problems
Numerical Methods and Comparison for the Dirac Equation in the Nonrelativistic Limit Regime
A Homotopy Method for Parameter Estimation of Nonlinear Differential Equations with Multiple Optima
Accurate Numerical Solution for Shifted M-Matrix Algebraic Riccati Equations
Convexity and Solvability for Compactly Supported Radial Basis Functions with Different Shapes
Local Mass Conservation of Stokes Finite Elements
Weak Convergence Rates for an Explicit Full-Discretization of Stochastic Allen-Cahn Equation with Additive Noise
Time Reparametrization and Event Location for Discontinuous Differential Algebraic Equations
On Resistive MHD Models with Adaptive Moving Meshes
Block Preconditioners for LDG Discretizations of Linear Incompressible Flow Problems
First-Order Positivity-Preserving Entropy Stable Scheme for the 3-D Compressible Navier-Stokes Equations
Discontinuous Galerkin Methods for the Ostrovsky-Vakhnenko Equation
Unconditional Convergence of Conservative Spectral Galerkin Methods for the Coupled Fractional Nonlinear Klein-Gordon-Schrödinger Equations
An Adaptive Infeasible-Interior-Point Method with the One-Norm Wide Neighborhood for Semi-definite Programming
Generalization of the Weighted Nonlocal Laplacian in Low Dimensional Manifold Model
Computation and stability analysis of periodic orbits using finite differences, Fourier or Chebyshev spectral expansions in time
A Posteriori Error Estimators for a Class of Variational Inequalities
A Fast Gradient Projection Method for a Constrained Fractional Optimal Control
Adaptive Multilevel Correction Method for Finite Element Approximations of Elliptic Optimal Control Problems
DCT-Former: Efficient Self-Attention with Discrete Cosine Transform
Non-backtracking PageRank
Superconvergence of C 0 -Q k Finite Element Method for Elliptic Equations with Approximated Coefficients
High Order Fluctuation Schemes on Triangular Meshes
Extension of Tensor-Product Generalized and Dense-Norm Summation-by-Parts Operators to Curvilinear Coordinates
High Order Extensions of Roe Schemes for Two-Dimensional Nonconservative Hyperbolic Systems
Wavelet-Based De-noising of Positron Emission Tomography Scans
GRPDA Revisited: Relaxed Condition and Connection to Chambolle-Pock's Primal-Dual Algorithm
On the Dynamics of the Boundary Vorticity for Incompressible Viscous Flows
Multigrid Schemes for High Order Discretizations of Hyperbolic Problems
Mesh Update Techniques for Free-Surface Flow Solvers Using Spectral Element Method
OpenCL Based Parallel Algorithm for RBF-PUM Interpolation
Telescopic Projective Integration for Linear Kinetic Equations with Multiple Relaxation Times
A Study of Curved Boundary Representations for 2D High Order Euler Solvers
A Proximal Alternating Direction Method of Multipliers for DC Programming with Structured Constraints
A Preconditioned Fast Parareal Finite Difference Method for Space-Time Fractional Partial Differential Equation
Formulations for Numerically Approximating Hyperbolic Systems Governing Sediment Transport
An Efficient Hybrid Method for Solving Euler Equations
An Exponential Time Differencing Runge-Kutta Method ETDRK32 for Phase Field Models
Dispersion and Dissipation Errors of Two Fully Discrete Discontinuous Galerkin Methods
Strong Stability Preserving General Linear Methods
Modelling of Biological Decontamination of a Water Resource in Natural Environment and Related Feedback Strategies
Extrapolated Multirate Methods for Differential Equations with Multiple Time Scales
A Sixth-Order Weighted Essentially Non-oscillatory Schemes Based on Exponential Polynomials for Hamilton-Jacobi Equations
Variational Image Colorization Models Using Higher-Order Mumford-Shah Regularizers