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Numerical Analysis and Its Applications

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Cover of 'Numerical Analysis and Its Applications'

Table of Contents

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    Book Overview
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    Chapter 1 Note on the Convergence of the Implicit Euler Method
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    Chapter 2 Uniform Shift Estimates for Transmission Problems and Optimal Rates of Convergence for the Parametric Finite Element Method
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    Chapter 3 Galerkin FEM for Fractional Order Parabolic Equations with Initial Data in H − s , 0 ≤ s ≤ 1
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    Chapter 4 Boundary Value Problems for Fractional PDE and Their Numerical Approximation
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    Chapter 5 Numerical Analysis and Its Applications
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    Chapter 6 Comparison Principle for Reaction-Diffusion-Advection Problems with Boundary and Internal Layers
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    Chapter 7 Multiscale Convection in One Dimensional Singularly Perturbed Convection–Diffusion Problems
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    Chapter 8 Hybrid Functions for Nonlinear Differential Equations with Applications to Physical Problems
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    Chapter 9 Error Estimation in Energy Norms: Is It Necessary to Fit the Mesh to Boundary Layers
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    Chapter 10 The Finite Element Method for Boundary Value Problems with Strong Singularity and Double Singularity
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    Chapter 11 Some New Approaches to Solving Navier-Stokes Equations for Viscous Heat-Conducting Gas
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    Chapter 12 Flux-Splitting Schemes for Parabolic Problems
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    Chapter 13 A Fourth-Order Iterative Solver for the Singular Poisson Equation
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    Chapter 14 Unconditionally Stable Schemes for Non-stationary Convection-Diffusion Equations
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    Chapter 15 Nonconforming Rectangular Morley Finite Elements
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    Chapter 16 Symplectic Numerical Schemes for Stochastic Systems Preserving Hamiltonian Functions
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    Chapter 17 High Order Accurate Difference Schemes for Hyperbolic IBVP
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    Chapter 18 Modified Crank-Nicholson Difference Schemes for Ultra Parabolic Equations with Neumann Condition
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    Chapter 19 Bifurcations in Long Josephson Junctions with Second Harmonic in the Current-Phase Relation: Numerical Study
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    Chapter 20 On the Unsymmetrical Buckling of the Nonuniform Orthotropic Circular Plates
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    Chapter 21 A Positivity-Preserving Splitting Method for 2D Black-Scholes Equations in Stochastic Volatility Models
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    Chapter 22 Two Splitting Methods for a Fixed Strike Asian Option
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    Chapter 23 New Family of Iterative Methods with High Order of Convergence for Solving Nonlinear Systems
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    Chapter 24 A Finite Difference Approach for the Time-Fractional Diffusion Equation with Concentrated Capacity
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    Chapter 25 Model-Based Biological Control of the Chemostat
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    Chapter 26 Variance-Based Sensitivity Analysis of the Unified Danish Eulerian Model According to Variations of Chemical Rates
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    Chapter 27 Comparison of Two Numerical Approaches to Boussinesq Paradigm Equation
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    Chapter 28 Modal Properties of Vertical Cavity Surface Emitting Laser Arrays under the Influence of Thermal Lensing
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    Chapter 29 Stability of Implicit Difference Scheme for Solving the Identification Problem of a Parabolic Equation
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    Chapter 30 Numerical and Analytical Modeling of the Stability of the Cylindrical Shell under the Axial Compression with the Use of the Non-classical Theories of Shells
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    Chapter 31 Ant Colony Optimization Start Strategies Performance According Some of the Parameters
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    Chapter 32 Numerical and Asymptotic Modeling of Annular Plate Vibrations
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    Chapter 33 A Singularly Perturbed Reaction-Diffusion Problem with Incompatible Boundary-Initial Data
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    Chapter 34 Method SMIF for Incompressible Fluid Flows Modeling
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    Chapter 35 Finite Element Simulation of Nanoindentation Process
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    Chapter 36 Runge-Kutta Methods with Equation Dependent Coefficients
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    Chapter 37 Method of Lines and Finite Difference Schemes with Exact Spectrum for Solving Some Linear Problems of Mathematical Physics
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    Chapter 38 The Numerical Solution of the Boundary Function Inverse Problem for the Tidal Models
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    Chapter 39 On a Mathematical Model of Adaptive Immune Response to Viral Infection
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    Chapter 40 Positivity Preserving Numerical Method for Non-linear Black-Scholes Models
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    Chapter 41 A Multicomponent Alternating Direction Method for Numerical Solution of Boussinesq Paradigm Equation
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    Chapter 42 Finite Volume Approximations for Incompressible Miscible Displacement Problems in Porous Media with Modified Method of Characteristics
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    Chapter 43 Buckling of Non-isotropic Plates with Cut-Outs
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    Chapter 44 On a Research of Hybrid Methods
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    Chapter 45 Finite Difference Scheme for a Parabolic Transmission Problem in Disjoint Domains
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    Chapter 46 An Efficient Hybrid Numerical Scheme for Singularly Perturbed Problems of Mixed Parabolic-Elliptic Type
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    Chapter 47 Numerical Experiments with a Shishkin Numerical Method for a Singularly Perturbed Quasilinear Parabolic Problem with an Interior Layer
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    Chapter 48 High Performance Computing of Data for a New Sensitivity Analysis Algorithm, Applied in an Air Pollution Model
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    Chapter 49 Numerical Methods for Evolutionary Equations with Delay and Software Package PDDE
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    Chapter 50 Interior Layers in Coupled System of Two Singularly Perturbed Reaction-Diffusion Equations with Discontinuous Source Term
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    Chapter 51 Finite Differences Method for the First Order 2-D Partial Equation
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    Chapter 52 Numerical Analysis of a Hydrodynamics Problem with a Curved Interface
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    Chapter 53 Parallel Program Systems for Problems of the Dynamics of Elastic-Plastic and Granular Media
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    Chapter 54 On Thermodynamically Consistent Formulations of Dynamic Models of Deformable Media and Their Numerical Implementation
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    Chapter 55 An Effective Method of Electromagnetic Field Calculation
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    Chapter 56 Finite Differences Method for One Dimensional Nonlinear Parabolic Equation with Double Nonlinearity
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    Chapter 57 Numerical Solving of Functional Differential Equations in Partial Derivatives on a Remote Server through a Web Interface
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    Chapter 58 Adaptive Artificial Boundary Conditions for 2D Schrödinger Equation
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    Chapter 59 Numerical Solution of Dynamic Problems in Block Media with Thin Interlayers on Supercomputers with GPUs
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    Chapter 60 Asymptotic-numerical Investigation of Generation and Motion of Fronts in Phase Transition Models
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    Chapter 61 hp Finite Element Methods for Fourth Order Singularly Perturbed Boundary Value Problems
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    Chapter 62 Quadrature Formula with Five Nodes for Functions with a Boundary Layer Component
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    Chapter 63 Numerical Study of Travelling Multi-soliton Complexes in the Ac-Driven NLS Equation
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    Chapter 64 Asynchronous Differential Evolution with Restart
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    Chapter 65 Uniform Grid Approximation of Nonsmooth Solutions of a Singularly Perturbed Convection - Diffusion Equation with Characteristic Layers
Attention for Chapter 4: Boundary Value Problems for Fractional PDE and Their Numerical Approximation
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Chapter title
Boundary Value Problems for Fractional PDE and Their Numerical Approximation
Chapter number 4
Book title
Numerical Analysis and Its Applications
Published by
Springer, Berlin, Heidelberg, June 2012
DOI 10.1007/978-3-642-41515-9_4
Book ISBNs
978-3-64-241514-2, 978-3-64-241515-9
Authors

Boško S. Jovanović, Lubin G. Vulkov, Aleksandra Delić

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The data shown below were compiled from readership statistics for 1 Mendeley reader of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 1 100%

Demographic breakdown

Readers by professional status Count As %
Professor > Associate Professor 1 100%
Readers by discipline Count As %
Mathematics 1 100%