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Author Li, Xing
Title Boundary Value Problems, Integral Equations and Related Problems
Imprint Singapore : World Scientific Publishing Co Pte Ltd, 2013
©2013
book jacket
Descript 1 online resource (298 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
Series World Scientific Series In Nanoscience And Nanotechnology
World Scientific Series In Nanoscience And Nanotechnology
Note Intro -- CONTENTS -- Preface -- Organizing Committees -- Some Properties of a Kind of Singular Integral Operator for K-Monogenic Function in Clifford Analysis L.P. Wang, Z.L. Xu and Y. Y. Qiao -- 1. Introduction -- 2. Preliminaries -- 3. The main results -- References -- Some Results Related with Mobius Transformation in Clifford Analysis Z.X. Zhang -- 1. Introduction and Preliminaries -- 2. Hyper-complex Forms of Equations for Plane and Sphere in R3 -- 3. Hyper-complex Forms of Equations for Symmetric Points with respect to Plane and Sphere in R3 -- 4. Mobius Transformation -- 5. Integral Formulas for Change of Variables under Mobius Transformation -- Acknowledgements -- References -- The Scattering of SH Wave on the Array of Periodic Cracks in a Piezoelectric Substrate Bonded a Half-Plane of Functionally Graded Materials J.Q. Liu, X. Li, S.Z. Dong, X. Y. Yao and C.F. Wang -- 1 Introduction -- 2 Description of the problem -- 3. Conversion of the problem -- 4. Solution of the problem -- 5 Numerical results and discussion -- 6 Conclusions -- Acknowledgements -- References -- Anti-Plane Problem of Two Collinear Cracks in a Functionally Graded Coating-Substrate Structure S.H. Ding and X. Li -- 1. Introduction -- 2. Description of the problem -- 3. Derivation of the singular integral equations -- 4. Results and discussion -- Acknowledgements -- References -- A Kind of Riemann Boundary Value Problem for Triharmonic Functions in Clifford Analysis L.F. Gu -- 1. Introduction and preliminaries -- 2. Some properties for triharmonic functions -- 3. Riemann boundary value problem for triharmonic functions -- 4. Existence of solutions for Riemann boundary value problem for triharmonic functions -- References -- A New Dynamical Systems Method for Nonlinear Operator Equations X.J. Luo, F.C. Li and S.H. Yang -- I. Introduction -- II. DSM for nonlinear equations
III. Stability of the solution -- References -- A Class of Integral Inequality and Application W.S. Wang -- 1. Introduction -- 2. Main result -- 3. Application -- References -- An Efficient Spectral Boundary Integral Equation Method for the Simulation of Earthquake Rupture Problems W.S. Wang and B. W. Zhang -- 1. Introduction -- 2. Formulation and numerical implementation -- 3. Friction laws and spatial discretization -- 4. Symplectic schemes of evolution time step -- 5. Numerical experiments -- 6. Conclusions -- Acknowledgements -- References -- High-Frequency Asymptotics for the Modified Helmholtz Equation in a Half-Plane H.M. Huang -- 1. Introduction -- 2. The integral representation for the solution -- 3. Asymptotic approximations -- Acknowledgement -- References -- An Inverse Boundary Value Problem Involving Filtration for Elliptic Systems of Equations Z.L. Xu and L. Yan -- 1. Introduction -- 2. Problem transformation -- 3. The existence and uniqueness of solution for problem B -- References -- Fixed Point Theorems of Contractive Mapping in Extended Cone Metric Spaces H.P. Huang and X. Li -- 1. Introduction -- 2. Main results -- 3. Applications -- References -- Positive Solutions of Singular Third-Order Three-Point Boundary Value Problems B. Q. Yan and X. Liu -- 1. Introduction -- 2. Preliminaries -- 3. Proofs of Theorems -- 4. Example -- References -- Modified Neumann Integral and Asymptotic Behavior in the Half Space Y.H. Zhang, G. T. Deng and Z.Z. Wei -- 1. Introduction and main results -- 2. Neumann Integral and the Asymptotic Behavior in the Half Space -- 3. Modified Neumann Integrals and the Asymptotic Behavior in the Half Space -- References -- Piecewise Tikhonov Regularization Scheme to Reconstruct Discontinuous Density in Computerized Tomography J. Cheng, Y. Jiang, K. Lin and J. W. Yan -- 1. Introduction
2. Piecewise Tikhonov Regularization Scheme -- 2.1. Tikhonov Regularization Method -- 2.2. Piecewise Tikhonov Regularization Method -- 2.3. Piecewise Tikhonov Regularization Scheme in Practice -- 3. Numerical Examples -- Acknowledgement -- References -- About the Quaternionic Jacobian Conjecture H. Liu -- 1. Introduction -- 2. Complex polynomials mapping -- 3. Some results from quaternion -- References -- Interaction between Antiplane Circular Inclusion and Circular Hole of Piezoelectric Materials L.H. Chang and X. Li -- 1. Introduction -- 2. Problem formulation -- 3. Solution to the problem -- 4. Conclusions -- Acknowledgements -- References -- Convergence of Numerical Algorithm for Coupled Heat and Mass Transfer in Textile Materials M.B. Ge, J.X. Cheng and D.H. Xu -- 1. Introduction -- 2. Decoupling of the Coupled ODEs -- 3. Presentation of Numerical Algorithm -- 4. Convergence Rate of the Proposed Algorithm -- 5. Numerical Experiment -- 5.1. Computation of the Temperature T(x) -- 5.2. Computation of the condensation rate r(x) -- Acknowledgements -- References -- Haversian Cortical Bone with a Radial Microcrack X. Wang -- 1. Introduction -- 2. Description of the model -- 3. Solution of the model -- 3.1. The stress fields for solving the first problem -- 3.2. The singular integral equation method for solving the second problem -- 3.3. The stress intensity factors for the radial microcrack tips -- 4. Numerical analysis -- 5. Discussion -- Acknowledgement -- References -- Spectra of Unitary Integral Operators on L2 (R.) with Kernels k(xy) D. W. Ma and G. Chen -- 1. Introduction -- 2. The Main Theorem -- 3. Eigenfunctions and Integral Equations -- 4. Concluding Remarks -- Acknowledgment -- References -- The Numerical Simulation of Long-Period Ground Motion on Basin Effects Y. Q. Li and X. Li -- 1. INTRODUCTION -- 1.1. Ground motion
1.2. Numerical modeling methods -- 1.3. Intention -- 2. SYMPLECTIC METHOD -- 2.1. Symplectic scheme of scalar wave equation -- 2.2. Discrete singular convolution differentiator -- 2.3. Discrete singular convolution differentiator -- 3. NUMERICAL EXPERIMENTS -- References -- Complete Plane Strain Problem of a One-Dimensional Hexagonal Quasicrystals with a Doubly-Periodic Set of Cracks X. Li and P.P. Shi -- Introduction -- 1. Preliminaries -- 2. Kolosov Functions -- 3. Formulation of the First Fundamental CPS Problem -- 4. Solution, Reduction to Integral Equations -- 5. Unique Solvability -- References -- The Problem about an Elliptic Hole with III Asymmetry Cracks in One-Dimensional Hexagonal Piezoelectric Quasi crystals H.S. Huo and X. Li -- 0. Introduction -- 1. Basic equation -- 2. Two asymmetric elliptical hole edge crack problem (Impermeable problem) -- 2.1 The permeability of stress field -- 2.2 Impermeable stress intensity factor of the crack tip -- 3. Two asymmetric elliptical hole edge crack problem (Permeability problem) -- 3.1 The permeability of stress field -- 3.2 Permeable stress intensity factor of the crack tip -- 4. Conclusion -- References -- The Second Fundamental Problem of Periodic Plane Elasticity of a One-Dimensional Hexagonal Quasi crystals J. Y. Cui, P.P. Shi and X. Li -- 1. The one-dimensional hexagonal quasicrystals and infinite elasticity plane with single periodic of stress function -- 1.1. Basic assumptions -- 1.2. The periodic of stress function -- 2. The one-dimensional hexagonal quasicrystals and infinite elasticity plane with single periodic of second fundamental problem -- 2.1. The solution of existence and uniqueness about second fundamental problem -- 2.2 Example -- References -- The Optimal Convex Combination Bounds for the Centroidal Mean H. Liu and X.J. Meng -- 1. Introduction -- 2. Main Results -- References
The Method of Fundamental Solution for a Class of Elliptical Partial Differential Equations with Coordinate Transformation and Image Technique L.N. Wu and Q. Jiang -- 1. Introduction -- 2. Two types of elliptical PDEs and coordinate transformation -- 3. The formulations of MFS for biharmonic functions -- 4. The image technique for the MFS in symmetrical problem -- 5. Applications of MFS for the bending of orthotropic plate -- 6. Numerical experiments -- 7. Conclusion -- Acknowledgements -- References -- Various Wavelet Methods for Solving Fractional Fredholm-Volterra Integral Equations P.P. Shi, X. Li and X. Li -- 1. Introduction -- 2. Notations, definitions and preliminaries -- 2.1. Fractional calculus -- 2.2. Some properties of wavelets -- 2.2.1. Some properties of Haar wavelets -- 2.2.2. Some properties of Legendre wavelets -- 2.2.3. Some properties of Chebyshev wavelets -- 2.3. Block-pulse function -- 3. Function approximations and operational matrices -- 3 .1. Function approximation -- 3.1.1 Harr wavelets functions approximation -- 3.1.2 Legendre wavelets functions approximation -- 3.1.3 Chebyshev wavelets functions approximation -- 3. 2. operational matrices -- 3 .2. 1. Wave lets operational matrix for fractional integration -- 3. 2. 2. Operation for integral term -- 4. Illustrative examples -- 5. Conclusion -- References
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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2020. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries
Link Print version: Li, Xing Boundary Value Problems, Integral Equations and Related Problems Singapore : World Scientific Publishing Co Pte Ltd,c2013 9789814452878
Subject Boundary value problems -- Congresses.;Integral equations -- Congresses
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