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Finite Difference Methods. Theory and Applications

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Cover of 'Finite Difference Methods. Theory and Applications'

Table of Contents

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    Book Overview
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    Chapter 1 From a Geometrical Interpretation of Bramble-Hilbert Lemma to a Probability Distribution for Finite Element Accuracy
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    Chapter 2 A High Order Method on Graded Meshes for a Time-Fractional Diffusion Problem
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    Chapter 3 Numerical Solving a Boundary Value Problem for the Eikonal Equation
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    Chapter 4 Iterative Semi-implicit Splitting Methods for Stochastic Chemical Kinetics
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    Chapter 5 The Application of a Special Hermite Finite Element Coupled with Collocation to the Diffusion Equation
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    Chapter 6 A 2nd-Order Numerical Scheme for Fractional Ordinary Differential Equation Systems
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    Chapter 7 Blow-Up of Fronts in Burgers Equation with Nonlinear Amplification: Asymptotics and Numerical Diagnostics
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    Chapter 8 Improved Computer Scheme for a Singularly Perturbed Parabolic Convection–Diffusion Equation
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    Chapter 9 On Ignorance Regions and Spatial Aspects for South American sea lion (Otaria byronia) Operational Interaction with the Artisan Gillnet Fishery in Chile
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    Chapter 10 Finite Difference Scheme for Stochastic Differential Games with Several Singular Control Variables and Its Environmental Application
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    Chapter 11 Stability Properties of Repeated Richardson Extrapolation Applied Together with Some Implicit Runge-Kutta Methods
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    Chapter 12 Computer Modeling of Control the Thermal Imaging System Surveillance
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    Chapter 13 Generalized Multiscale Finite Element Method for Elasticity Problem in Fractured Media
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    Chapter 14 Automatic Time Step Selection for Numerical Solution of Neutron Diffusion Problems
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    Chapter 15 Local Convergence Results for an Optimal Iterative Method for Multiple Roots
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    Chapter 16 Spline Iterative Method for Pantograph Type Functional Differential Equations
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    Chapter 17 On Gas Dynamic Hierarchy
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    Chapter 18 The Error Analysis of Finite Difference Approximation for a System of Singularly Perturbed Semilinear Reaction-Diffusion Equations with Discontinuous Source Term
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    Chapter 19 Efficiency and Stability of a Family of Iterative Schemes for Solving Nonlinear Equations
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    Chapter 20 Stability of a Family of Iterative Methods of Fourth-Order
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    Chapter 21 Multidimensional Real Dynamics for High-Order Processes
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    Chapter 22 Bi-parametric Family of Methods with Memory Based of Ostrowski-Chun Method
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    Chapter 23 Asymptotically Lyapunov-Stable Solutions with Boundary and Internal Layers in the Stationary Reaction-Diffusion-Advection Problems with a Small Transfer
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    Chapter 24 Numerical Modeling of the Charge Transfer Along 1D Molecular Chain “Donor-Bridge-Acceptor” at T = 300 K
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    Chapter 25 Simulation of Influence of Special Regimes of Horizontal Flare Systems on Permafrost
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    Chapter 26 The Method of Fundamental Solutions Combined with a Multi-level Technique
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    Chapter 27 Generalized Multiscale Discontinuous Galerkin Method for Helmholtz Problem in Fractured Media
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    Chapter 28 Difference Schemes for the Nonlinear Equations in Partial Derivatives with Heredity
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    Chapter 29 Conservative Finite-Difference Algorithm for the Thermodiffusion Stefan Problem
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    Chapter 30 On One Method for Solving of a Non-stationary Fluid Flows with Free Surface
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    Chapter 31 The Third Order Iterative Method for Solving Nonlinear Parabolic Equations and Its Application to the Biological Tissues Models
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    Chapter 32 Iterative Process for Numerical Recovering the Lowest Order Space-Wise Coefficient in Parabolic Equations
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    Chapter 33 P-Thinned Gamma Process and Corresponding Random Walk
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    Chapter 34 Analytic Theory of Singular Perturbations and Lomov’s Regularization Method
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    Chapter 35 On Inverse Problem of Determination of the Coefficient in the Black-Scholes Type Equation
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    Chapter 36 Finite Difference Schemes on Locally Refined Cartesian Grids for the Solution of Gas Dynamic Problems on the Basis of Quasigasdynamics Equations
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    Chapter 37 Time to Start a Crowded Period in a Finite-Buffer Queue with Poisson Input Flow and General Processing Times
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    Chapter 38 Two-Grid Newton Algorithms for a System of Heat Conducting Gas Equations
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    Chapter 39 On Convergence of Difference Approximations of Extremum Problems Described by Elliptic Equations with Unbounded Nonlinearity
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    Chapter 40 Spijker’s Example and Its Extension
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    Chapter 41 Numerical Estimation of Seismic Wave Attenuation in Fractured Porous Fluid-Saturated Media
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    Chapter 42 Relativistic Burgers Models on Curved Background Geometries
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    Chapter 43 Consistent Discrete-Analytical Schemes for the Solution of the Inverse Source Problems for Atmospheric Chemistry Models with Image-Type Measurement Data
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    Chapter 44 Multiscale Mathematical Modeling of the Metal Nanoparticles Motion in a Gas Flow
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    Chapter 45 Construction of Higher-Order Approximation Difference Scheme for Nonlinear Convection-Diffusion Equation Using Adaptive Artificial Viscosity in Case of Two-Phase Filtering Problems
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    Chapter 46 About Free-Volumetric Approximation of a Piezoconductive Medium with Gas Hydrate Inclusions
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    Chapter 47 Modeling of Fluidodynamic Processes in a Porous Medium with Gashydrate Deposits
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    Chapter 48 Nonlinear Differential Equation of the Surface Section of Gas-Liquid
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    Chapter 49 Completely Conservative Difference Schemes for Simultaneous Calculations of Thawed Hydrated Zone and Piezoconductive Medium with Gas Hydrate Inclusions
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    Chapter 50 Converging Shock Wave for Ignition of a Pre-compressed Target of Laser Thermonuclear Fusion
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    Chapter 51 Monte Carlo Solution of Dirichlet Problem for Semi-linear Equation
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    Chapter 52 Parallel Numerical Method to Estimate the Effective Elastic Moduli of Rock Core Samples from 3D Tomographic Images
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    Chapter 53 Integral-Consistent Numerical Technique for Self-gravitating Medium Model
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    Chapter 54 Computation of Mean-Field Equilibria with Correlated Stochastic Processes
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    Chapter 55 Development and Numerical Study of Robust Difference Schemes for a Singularly Perturbed Transport Equation
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    Chapter 56 A High Order Accurate Overlapping Domain Decomposition Method for Singularly Perturbed Reaction-Diffusion Systems
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    Chapter 57 Numerical Experiments for Some Markov Models for Solving Boundary Value Problems
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    Chapter 58 Numerical Simulation of Deformations of Basalt Roving
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    Chapter 59 A Fractional Diffusion Model with Resetting
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    Chapter 60 Generalized Multiscale Finite Element Method for Unsaturated Filtration Problem in Heterogeneous Medium
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    Chapter 61 A Continuous Model for the Ecological Collapse of Easter Island
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    Chapter 62 Solving a Singularly Perturbed Elliptic Problem by a Cascadic Multigrid Algorithm with Richardson Extrapolation
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    Chapter 63 Iterative Algorithms for Coupled Physics Electrical Conductivity Imaging
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    Chapter 64 Explicit and Conditionally Stable Combined Numerical Method for 1D and 2D Nonlinear Schrödinger Equation
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    Chapter 65 On a Reliable Numerical Method for a Singularly Perturbed Parabolic Reaction-Diffusion Problem in a Doubly Connected Domain
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    Chapter 66 Generalized Multiscale Finite Element Method for Poroelasticity Problems in Heterogeneous Media
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    Chapter 67 Past Surface Temperatures Reconstructed by Inversion of the Measured Borehole Temperature-Depth Profiles in Rock
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    Chapter 68 Simulation of Cooling Devices and Effect for Thermal Stabilization of Soil in a Cryolithozone with Anthropogenic Impact
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    Chapter 69 The Conjugate Gradient Method for the Dirichlet Problem and Its Modifications
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    Chapter 70 On a Digital Version of Pseudo-Differential Operators and Its Applications
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    Chapter 71 Upscaled Model for Mixed Dimensional Coupled Flow Problem in Fractured Porous Media Using Non-local Multicontinuum (NLMC) Method
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    Chapter 72 Some Features of the Asymptotic-Numerical Method for the Moving Fronts Description in Two-Dimensional Reaction-Diffusion Problems
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    Chapter 73 Conservative Semi-Lagrangian Numerical Algorithm with Decomposition of Integration Domain into Tetrahedrons for Three-Dimensional Advection Problem
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    Chapter 74 Numerical Method for Calculating the Pipe Spatial Vibrations
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    Chapter 75 Finite Difference Computation of a Stochastic Aquaculture Problem Under Incomplete Information
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    Chapter 76 Asymptotic and Numerical Analysis of Dynamics in a Generalized Free-Interfacial Combustion Model
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    Chapter 77 Analogue of Cubic Spline for Functions with Large Gradients in a Boundary Layer
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    Chapter 78 A Family of Optimal Eighth Order Multiple Root Finders with Multivariate Weight Function
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    Chapter 79 Multi-step Iterative Algorithm for Mathematical Modeling of Light Bullets in Anisotropic Media
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    Chapter 80 Absolute Stability and Implementation of the Two-Times Repeated Richardson Extrapolation Together with Explicit Runge-Kutta Methods
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Title
Finite Difference Methods. Theory and Applications
Published by
Springer International Publishing, February 2019
DOI 10.1007/978-3-030-11539-5
ISBNs
978-3-03-011538-8, 978-3-03-011539-5
Editors

Dimov, Ivan, Faragó, István, Vulkov, Lubin

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 8 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 8 100%

Demographic breakdown

Readers by professional status Count As %
Student > Master 3 38%
Unspecified 1 13%
Student > Bachelor 1 13%
Student > Ph. D. Student 1 13%
Unknown 2 25%
Readers by discipline Count As %
Engineering 3 38%
Mathematics 2 25%
Computer Science 1 13%
Unspecified 1 13%
Unknown 1 13%