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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
Overall attention for this book and its chapters
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Title
Numerical Analysis and Its Applications
Published by
Springer, Berlin, Heidelberg, January 2012
DOI 10.1007/978-3-642-41515-9
ISBNs
978-3-64-241514-2, 978-3-64-241515-9
Editors

Ivan Dimov, István Faragó, Lubin Vulkov

Mendeley readers

The data shown below were compiled from readership statistics for 22 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 22 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 1 5%
Professor > Associate Professor 1 5%
Unknown 20 91%
Readers by discipline Count As %
Engineering 1 5%
Unknown 21 95%