Journal of Differential Equations, ISSN 0022-0396, 2008, Volume 245, Issue 4, pp. 892 - 924

We prove the convergence, up to a subsequence, of the spatial semidiscrete scheme for the one-dimensional Perona–Malik equation u t = ( ϕ ′ ( u x ) ) x , ϕ ( p...

Implicit time discretizations | Semidiscrete schemes | Forward–backward parabolic equations | Perona–Malik equation | Perona-Malik equation | Forward-backward parabolic equations | MATHEMATICS | implicit time discretizations | semidiscrete schemes | DIFFUSION | forward-back ward parabolic equations | FLOW

Implicit time discretizations | Semidiscrete schemes | Forward–backward parabolic equations | Perona–Malik equation | Perona-Malik equation | Forward-backward parabolic equations | MATHEMATICS | implicit time discretizations | semidiscrete schemes | DIFFUSION | forward-back ward parabolic equations | FLOW

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 2008, Volume 227, Issue 24, pp. 10226 - 10242

A global model of the atmosphere is presented governed by the shallow water equations and discretized by a Runge–Kutta discontinuous Galerkin method on an...

Shallow water equations | Triangular grid | Finite elements | Finite volumes | Spherical geometry | Surface | HYPERBOLIC SYSTEMS | APPROXIMATIONS | COMPILATION | MODEL | PHYSICS, MATHEMATICAL | ATMOSPHERE | MONOMIAL CUBATURE RULES | DISCRETIZATION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | INTEGRATION | SPECTRAL ELEMENT METHOD | ROTATING SPHERE | Water | Finite element method | Temperature inversions | Energy conservation | Analysis | Models | Methods | Nature conservation

Shallow water equations | Triangular grid | Finite elements | Finite volumes | Spherical geometry | Surface | HYPERBOLIC SYSTEMS | APPROXIMATIONS | COMPILATION | MODEL | PHYSICS, MATHEMATICAL | ATMOSPHERE | MONOMIAL CUBATURE RULES | DISCRETIZATION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | INTEGRATION | SPECTRAL ELEMENT METHOD | ROTATING SPHERE | Water | Finite element method | Temperature inversions | Energy conservation | Analysis | Models | Methods | Nature conservation

Journal Article

Crystal Growth and Design, ISSN 1528-7483, 07/2015, Volume 15, Issue 7, pp. 3374 - 3382

Control of polymorphism of the enantiotropic p-aminobenzoic acid at either the alpha or beta polymorph while maintaining high yield was achieved by mixed...

TRANSFORMATION | MATERIALS SCIENCE, MULTIDISCIPLINARY | CRYSTALLOGRAPHY | SELECTIVE CRYSTALLIZATION | CRYSTAL SIZE DISTRIBUTION | CHEMISTRY, MULTIDISCIPLINARY | DISCRETIZATION | MSMPR CRYSTALLIZATION | GROWTH | DYNAMICS | BATCH | NUCLEATION | POPULATION BALANCE-EQUATIONS

TRANSFORMATION | MATERIALS SCIENCE, MULTIDISCIPLINARY | CRYSTALLOGRAPHY | SELECTIVE CRYSTALLIZATION | CRYSTAL SIZE DISTRIBUTION | CHEMISTRY, MULTIDISCIPLINARY | DISCRETIZATION | MSMPR CRYSTALLIZATION | GROWTH | DYNAMICS | BATCH | NUCLEATION | POPULATION BALANCE-EQUATIONS

Journal Article

Numerical Methods for Partial Differential Equations, ISSN 0749-159X, 01/2012, Volume 28, Issue 1, pp. 155 - 187

In this article, we study the stability and convergence of the Crank-Nicolson/Adams-Bashforth scheme for the two-dimensional nonstationary Navier-Stokes...

Adams-Bashforth scheme | Crank-Nicolson scheme | mixed finite element | Navier-Stokes equations | NONLINEAR GALERKIN METHOD | MATHEMATICS, APPLIED | ACCURATE | STABILITY | FINITE-ELEMENT APPROXIMATION | DISCRETIZATION | REGULARITY | ERROR ANALYSIS | CONVERGENCE | Mixed finite element

Adams-Bashforth scheme | Crank-Nicolson scheme | mixed finite element | Navier-Stokes equations | NONLINEAR GALERKIN METHOD | MATHEMATICS, APPLIED | ACCURATE | STABILITY | FINITE-ELEMENT APPROXIMATION | DISCRETIZATION | REGULARITY | ERROR ANALYSIS | CONVERGENCE | Mixed finite element

Journal Article

International Journal for Numerical Methods in Engineering, ISSN 0029-5981, 12/2011, Volume 88, Issue 10, pp. 951 - 973

The perfectly matched layer (PML) technique has demonstrated very high efficiency as absorbing boundary condition for the elastic wave equation recast as a...

implicit/explicit time integration | absorbing boundary conditions | elastic wave equation | perfectly matched layers | finite element time‐domain discretization | Implicit/explicit time integration | Perfectly matched layers | Elastic wave equation | Finite element time-domain discretization | Absorbing boundary conditions | finite element time-domain discretization | UNSPLIT | STABILITY | IMPLEMENTATION | FDTD | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | PERFECTLY MATCHED LAYER | ELASTODYNAMICS | ABSORPTION | GRAZING-INCIDENCE | ABSORBING BOUNDARY-CONDITIONS | PROPAGATION | Finite element method | Surface waves | Mathematical analysis | Wave equations | Mathematical models | Computational efficiency | Elastic waves | Computing time

implicit/explicit time integration | absorbing boundary conditions | elastic wave equation | perfectly matched layers | finite element time‐domain discretization | Implicit/explicit time integration | Perfectly matched layers | Elastic wave equation | Finite element time-domain discretization | Absorbing boundary conditions | finite element time-domain discretization | UNSPLIT | STABILITY | IMPLEMENTATION | FDTD | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | PERFECTLY MATCHED LAYER | ELASTODYNAMICS | ABSORPTION | GRAZING-INCIDENCE | ABSORBING BOUNDARY-CONDITIONS | PROPAGATION | Finite element method | Surface waves | Mathematical analysis | Wave equations | Mathematical models | Computational efficiency | Elastic waves | Computing time

Journal Article

Methodology and Computing in Applied Probability, ISSN 1387-5841, 6/2011, Volume 13, Issue 2, pp. 419 - 431

It is well known that statistical control charts such as Shewhart, CUSUM and EWMA charts have widespread applications in improving the quality for...

60J20 | Control chart | Economics general | Life Sciences, general | Discretization | Average run length | Finite Markov chain imbedding | Autoregressive process | Business/Management Science, general | Statistics, general | Statistics | Electrical Engineering | CUSUM | MARKOV-CHAIN APPROACH | STATISTICS & PROBABILITY | WEIGHTED MOVING AVERAGE | CONTROL SCHEMES | Markov processes | Studies | Probability | Control charts | Tasks | Computation | Mathematical analysis | Charts | Markov chains | Imbeddings

60J20 | Control chart | Economics general | Life Sciences, general | Discretization | Average run length | Finite Markov chain imbedding | Autoregressive process | Business/Management Science, general | Statistics, general | Statistics | Electrical Engineering | CUSUM | MARKOV-CHAIN APPROACH | STATISTICS & PROBABILITY | WEIGHTED MOVING AVERAGE | CONTROL SCHEMES | Markov processes | Studies | Probability | Control charts | Tasks | Computation | Mathematical analysis | Charts | Markov chains | Imbeddings

Journal Article

Computational Optimization and Applications, ISSN 0926-6003, 3/2011, Volume 48, Issue 2, pp. 399 - 421

In this paper some discrete-continuous project scheduling problems to minimize the makespan are considered. These problems are characterized by the fact that...

Continuous resource | Convex and Discrete Geometry | Operations Research/Decision Theory | Project scheduling | Discrete resource | Mathematics | Makespan | Operations Research, Mathematical Programming | Statistics, general | Optimization | Heuristic | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | RESOURCE-ALLOCATION | TABU SEARCH | Studies | Scheduling | Allocations | Discretization | Computation | Mathematical analysis | Heuristic methods | Mathematical models

Continuous resource | Convex and Discrete Geometry | Operations Research/Decision Theory | Project scheduling | Discrete resource | Mathematics | Makespan | Operations Research, Mathematical Programming | Statistics, general | Optimization | Heuristic | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | RESOURCE-ALLOCATION | TABU SEARCH | Studies | Scheduling | Allocations | Discretization | Computation | Mathematical analysis | Heuristic methods | Mathematical models

Journal Article

Numerical Heat Transfer, Part B: Fundamentals, ISSN 1040-7790, 02/2011, Volume 59, Issue 2, pp. 116 - 129

This article presents selected problems used to assess the validity and usefulness of a first-order skew, positive coefficient, upwind scheme (SPCUS) applied...

HEAT-TRANSFER PROCEDURE | FINITE-VOLUME METHOD | NUMERICAL PREDICTIONS | MECHANICS | THERMODYNAMICS | ENCLOSURES | CONVECTION | TRANSPORT-EQUATION | IRREGULAR GEOMETRIES | 2-DIMENSIONAL CONDUCTION | DISCRETE ORDINATES METHOD | Interpolation | Discretization | Communities | Mathematical analysis | Mathematical models | Radiative transfer | Two dimensional | Radiative heat transfer | Engineering Sciences

HEAT-TRANSFER PROCEDURE | FINITE-VOLUME METHOD | NUMERICAL PREDICTIONS | MECHANICS | THERMODYNAMICS | ENCLOSURES | CONVECTION | TRANSPORT-EQUATION | IRREGULAR GEOMETRIES | 2-DIMENSIONAL CONDUCTION | DISCRETE ORDINATES METHOD | Interpolation | Discretization | Communities | Mathematical analysis | Mathematical models | Radiative transfer | Two dimensional | Radiative heat transfer | Engineering Sciences

Journal Article

数学学报：英文版, ISSN 1439-8516, 2011, Volume 27, Issue 5, pp. 845 - 862

This paper concerns the study of the numerical approximation for the following initialboundary value problem{ut-uzx=f（u）,t∈（0,1）,t∈（0,T）...

非线性 | ry值 | 爆破时间 | 函数值 | 数值逼近 | 热方程 | 离散形式 | 数值结果 | nonlinear heat equations | 35K60 | numerical blow-up time | 65M06 | Semidiscretization | blow-up | Mathematics, general | Mathematics | 35B40 | 35B50 | REACTION-DIFFUSION EQUATIONS | SYSTEM | MATHEMATICS, APPLIED | 2ND-ORDER | SEMILINEAR PARABOLIC EQUATIONS | APPROXIMATIONS | TIME | ASYMPTOTIC-BEHAVIOR | DISCRETIZATIONS | MATHEMATICS | SETS | Studies | Nonlinear equations | Numerical analysis | Nonlinearity | Approximation | Mathematical analysis | Heat equations

非线性 | ry值 | 爆破时间 | 函数值 | 数值逼近 | 热方程 | 离散形式 | 数值结果 | nonlinear heat equations | 35K60 | numerical blow-up time | 65M06 | Semidiscretization | blow-up | Mathematics, general | Mathematics | 35B40 | 35B50 | REACTION-DIFFUSION EQUATIONS | SYSTEM | MATHEMATICS, APPLIED | 2ND-ORDER | SEMILINEAR PARABOLIC EQUATIONS | APPROXIMATIONS | TIME | ASYMPTOTIC-BEHAVIOR | DISCRETIZATIONS | MATHEMATICS | SETS | Studies | Nonlinear equations | Numerical analysis | Nonlinearity | Approximation | Mathematical analysis | Heat equations

Journal Article

Composite Structures, ISSN 0263-8223, 2011, Volume 93, Issue 7, pp. 1832 - 1841

The present work addresses the evaluation of the shear flow as an extension of the Jourawski’s formula. This idea is developed here for the case of a...

Finite element analysis | Shear flow | Thin-walled section | Wind turbine blades | THIN-WALLED-BEAMS | SINGLE | STRUCTURAL BEHAVIOR | TORSION | SECTIONS | MATERIALS SCIENCE, COMPOSITES | Blades | Discretization | Mathematical analysis | Benchmarking | Mathematical models | Wind turbines | Composite structures | Torsion

Finite element analysis | Shear flow | Thin-walled section | Wind turbine blades | THIN-WALLED-BEAMS | SINGLE | STRUCTURAL BEHAVIOR | TORSION | SECTIONS | MATERIALS SCIENCE, COMPOSITES | Blades | Discretization | Mathematical analysis | Benchmarking | Mathematical models | Wind turbines | Composite structures | Torsion

Journal Article

应用数学和力学：英文版, ISSN 0253-4827, 2011, Volume 32, Issue 1, pp. 45 - 54

The problem of two dimensional stagnation point flow of an electrically conducting micropolar fluid impinging normally on a heated surface in the presence of a...

stagnation flow | O361.3 | boundary layer | Mechanics | Mathematics | micropolar fluids | finite differences | Mathematical Modeling and Industrial Mathematics | Applications of Mathematics | 76M20 | magnetohydrodynamics (MHD) | similarity transformations | BOUNDARY-LAYER-FLOW | MATHEMATICS, APPLIED | MECHANICS | STRETCHING SHEET | PLATE | DISK | Thermal properties | Mechanical properties | Engineering mathematics | Magnetohydrodynamics | Fluids | Research | Algorithms | Discretization | Mathematical analysis | Micropolar fluids | Stagnation point | Thermal boundary layer | Mathematical models | Heat transfer

stagnation flow | O361.3 | boundary layer | Mechanics | Mathematics | micropolar fluids | finite differences | Mathematical Modeling and Industrial Mathematics | Applications of Mathematics | 76M20 | magnetohydrodynamics (MHD) | similarity transformations | BOUNDARY-LAYER-FLOW | MATHEMATICS, APPLIED | MECHANICS | STRETCHING SHEET | PLATE | DISK | Thermal properties | Mechanical properties | Engineering mathematics | Magnetohydrodynamics | Fluids | Research | Algorithms | Discretization | Mathematical analysis | Micropolar fluids | Stagnation point | Thermal boundary layer | Mathematical models | Heat transfer

Journal Article

Computer Modeling in Engineering & Sciences (CMES), ISSN 1526-1492, 01/1901, Volume 64, Issue 1, p. 37

This paper completes a preceeding paper on the algebraic formulation of elastostatics [Tonti, Zarantonello (2009)]. It shows how to obtain a numerical...

Subdivisions | Algebra | Computer simulation | Discretization | Differential equations | Mass matrix | Mathematical models | Elastodynamics

Subdivisions | Algebra | Computer simulation | Discretization | Differential equations | Mass matrix | Mathematical models | Elastodynamics

Journal Article

应用数学和力学：英文版, ISSN 0253-4827, 2011, Volume 32, Issue 2, pp. 141 - 150

Computations of wall distances still play a key role in modern turbulence modeling. Motivated by the expense involved in the computation, an approach solving...

35L82 | wall distance | Mechanics | V211.3 | Mathematics | Mathematical Modeling and Industrial Mathematics | Applications of Mathematics | numerical simulation | overset grid | MATHEMATICS, APPLIED | MECHANICS | Measurement | Turbulence | Research | Differential equations, Partial | Distances | Methods | Algorithms | Computational fluid dynamics | Discretization | Transport equations | Computation | Mathematical models | Walls | Navier-Stokes equations

35L82 | wall distance | Mechanics | V211.3 | Mathematics | Mathematical Modeling and Industrial Mathematics | Applications of Mathematics | numerical simulation | overset grid | MATHEMATICS, APPLIED | MECHANICS | Measurement | Turbulence | Research | Differential equations, Partial | Distances | Methods | Algorithms | Computational fluid dynamics | Discretization | Transport equations | Computation | Mathematical models | Walls | Navier-Stokes equations

Journal Article

International Journal of Computer Vision, ISSN 0920-5691, 5/2011, Volume 92, Issue 3, pp. 281 - 295

We introduce the covariance of a number of given shapes if they are interpreted as boundary contours of elastic objects. Based on the notion of nonlinear...

Pattern Recognition | Shape analysis | Covariance metric | Computer Science | Computer Imaging, Vision, Pattern Recognition and Graphics | Image Processing and Computer Vision | Artificial Intelligence (incl. Robotics) | Non-rigid registration | Phase field approximation | Finite element discretization | Nonlinear elasticity | Principal components | EXISTENCE | APPROXIMATION | METRICS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ATLAS | SPACE | ANATOMY | MODELS | CONSTRUCTION | Covariance | Contours | Images | Elasticity | Nonlinearity | Mathematical models | Linearization | Principal component analysis

Pattern Recognition | Shape analysis | Covariance metric | Computer Science | Computer Imaging, Vision, Pattern Recognition and Graphics | Image Processing and Computer Vision | Artificial Intelligence (incl. Robotics) | Non-rigid registration | Phase field approximation | Finite element discretization | Nonlinear elasticity | Principal components | EXISTENCE | APPROXIMATION | METRICS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ATLAS | SPACE | ANATOMY | MODELS | CONSTRUCTION | Covariance | Contours | Images | Elasticity | Nonlinearity | Mathematical models | Linearization | Principal component analysis

Journal Article

Computer Modeling in Engineering & Sciences (CMES), ISSN 1526-1492, 01/1901, Volume 61, Issue 2, pp. 177 - 2010

In this work, meshless methods based on the local Petrov-Galerkin approach are employed for the time-domain dynamic analysis of porous media. For the spatial...

Finite element method | Porous media | Dynamic tests | Discretization | Dynamics | Mathematical analysis | Meshless methods | Mathematical models

Finite element method | Porous media | Dynamic tests | Discretization | Dynamics | Mathematical analysis | Meshless methods | Mathematical models

Journal Article

Numerical Functional Analysis and Optimization, ISSN 0163-0563, 03/2011, Volume 32, Issue 4, pp. 383 - 396

In this article, we consider an application of the abstract error estimate for a class of optimal control systems described by a linear partial differential...

93C | Boundary optimal control problems | Error estimates | Finite element approximation | ELLIPTIC CONTROL-PROBLEMS | NUMERICAL APPROXIMATION | MATHEMATICS, APPLIED | INEQUALITIES | VARIATIONAL DISCRETIZATION | CONVERGENCE | Errors | Approximation | Mathematical analysis | Optimal control | Dirichlet problem | Boundaries | Estimates | Optimization

93C | Boundary optimal control problems | Error estimates | Finite element approximation | ELLIPTIC CONTROL-PROBLEMS | NUMERICAL APPROXIMATION | MATHEMATICS, APPLIED | INEQUALITIES | VARIATIONAL DISCRETIZATION | CONVERGENCE | Errors | Approximation | Mathematical analysis | Optimal control | Dirichlet problem | Boundaries | Estimates | Optimization

Journal Article

Theoretical Computer Science, ISSN 0304-3975, 2011, Volume 412, Issue 22, pp. 2262 - 2267

We recently obtained partial results on the computational power of population protocols when the population is assumed to be large. We studied in particular a...

Convergence proof | Probabilistic systems | Probabilistic analysis | Complexity | Computability | Algorithms | Approximation | Discretization | Computation | Mathematical analysis | Stochastic processes | Differential equations | Stochasticity | Protocol (computers)

Convergence proof | Probabilistic systems | Probabilistic analysis | Complexity | Computability | Algorithms | Approximation | Discretization | Computation | Mathematical analysis | Stochastic processes | Differential equations | Stochasticity | Protocol (computers)

Journal Article

Computing, ISSN 0010-485X, 4/2011, Volume 91, Issue 4, pp. 353 - 364

Fredholm Integral Equation of the First Kind (FIEFK) is an example of ill-posed problems. Solving this type of equation using conventional methods of...

65R32 | Ill-posed problems | 45B05 | 82C32 | Fredholm integral equation of the first kind | Computer Science | Regularized neural networks | Computer Science, general | Genetic algorithms | 65N20 | NETWORKS | COMPUTER SCIENCE, THEORY & METHODS | FREDHOLM INTEGRAL-EQUATIONS | 1ST KIND | Computer science | Pelicans | Algorithms | Neural networks | Analysis | Universities and colleges | Methods | Studies | Regularization methods | Integral equations | Mathematical analysis | Synthesis | Discretization | Mathematical models | Ill posed problems | Electromagnetic fields

65R32 | Ill-posed problems | 45B05 | 82C32 | Fredholm integral equation of the first kind | Computer Science | Regularized neural networks | Computer Science, general | Genetic algorithms | 65N20 | NETWORKS | COMPUTER SCIENCE, THEORY & METHODS | FREDHOLM INTEGRAL-EQUATIONS | 1ST KIND | Computer science | Pelicans | Algorithms | Neural networks | Analysis | Universities and colleges | Methods | Studies | Regularization methods | Integral equations | Mathematical analysis | Synthesis | Discretization | Mathematical models | Ill posed problems | Electromagnetic fields

Journal Article

Composite Structures, ISSN 0263-8223, 2011, Volume 93, Issue 7, pp. 1854 - 1876

In this paper, the Generalized Differential Quadrature (GDQ) method is applied to study the dynamic behaviour of laminated composite doubly-curved shells of...

Generalized differential quadrature method | First-order Shear Deformation Theory | Doubly-curved shells of revolution | Free vibrations | Laminated composite shells | First-order shear deformation theory | FREQUENCY-CHARACTERISTICS | STATIC ANALYSIS | ELEMENT METHOD | LAMINATED COMPOSITE PLATES | MATERIALS SCIENCE, COMPOSITES | 3-DIMENSIONAL ANALYSIS | DIFFERENTIAL QUADRATURE METHOD | CYLINDRICAL-SHELL | CONICAL SHELLS | SHEAR-DEFORMABLE SHELLS | SECTOR PLATES | Panels | Discretization | Anisotropy | Kinematics | Shear deformation | Eigenvalues | Shells | Curvature | Quadratures

Generalized differential quadrature method | First-order Shear Deformation Theory | Doubly-curved shells of revolution | Free vibrations | Laminated composite shells | First-order shear deformation theory | FREQUENCY-CHARACTERISTICS | STATIC ANALYSIS | ELEMENT METHOD | LAMINATED COMPOSITE PLATES | MATERIALS SCIENCE, COMPOSITES | 3-DIMENSIONAL ANALYSIS | DIFFERENTIAL QUADRATURE METHOD | CYLINDRICAL-SHELL | CONICAL SHELLS | SHEAR-DEFORMABLE SHELLS | SECTOR PLATES | Panels | Discretization | Anisotropy | Kinematics | Shear deformation | Eigenvalues | Shells | Curvature | Quadratures

Journal Article