Integral methods in science and engineering Practical applications Edited by Christian Constanda, Matteo Dalla Riva, Pier Domenico Lamberti, Paolo Musolino - Tulsa, OK : Birkhauser, 2018. - xxiii, 312 p. : ill. ; 25 cm.
Preface; Digital Art by Walid Ben Medjedel; Contents; List of Contributors; 1 On a Continuous Energy Monte Carlo Simulator for Neutron Transport: Optimisation with Fission, Intermediate and Thermal Distributions; 1.1 Introduction; 1.2 Neutron Transport by a Monte Carlo Method; 1.3 Program Description; 1.4 Nuclear Reactions; 1.5 Coupled Distributions; 1.6 Results; 1.7 Conclusions and Future Work; References; 2 The Use of Similarity Indices in the Analysis of Temporal Distribution of Mammals; 2.1 Introduction; 2.2 The Case Study; 2.3 The Statistical Model; 2.4 Results 2.5 Discussion and ConclusionReferences; 3 The Method of Superposition for Near-Field Acoustic Holography in a Semi-anechoic Chamber; 3.1 Introduction; 3.2 Method of Superposition; 3.3 Near-Field Acoustic Holography in a Half-Space; 3.4 Regularisation and Sparse Reconstruction; 3.5 Numerical Results; 3.6 Conclusions; References; 4 Application of Stochastic Dynamic Programming in Demand Dispatch-Based Optimal Operation of a Microgrid; 4.1 Introduction; 4.2 Problem Description; 4.3 Stochastic Dynamic Programming; 4.4 Inventory Control Model 4.5 Problem Formulation by SDP (Inventory Control Model)4.6 Lemma; 4.7 Solution Approach: Step by Step; 4.8 Summary and Conclusion; References; 5 Spectral Boundary Element Algorithms for Multi-Length Interfacial Dynamics; 5.1 Introduction; 5.2 Mathematical Formulation; 5.3 Interfacial Spectral Boundary Element Algorithms; 5.4 Multi-Length Interfacial Dynamics Problems; References; 6 Kinect Depth Recovery Based on Local Filtersand Plane Primitives; 6.1 Introduction; 6.2 Proposed Method; 6.3 Experimental Results; 6.4 Conclusion; References 7 On the Neutron Point Kinetic Equation with Reactivity Decomposition Based on Two Time Scales7.1 Introduction; 7.2 Neutron Poisons; 7.3 Point Kinetics with Poisons; 7.4 Solution by Decomposition; 7.5 Numerical Results; 7.6 Algorithm Stability; 7.7 Conclusions; References; 8 Iterated Kantorovich vs Kulkarni Method for Fredholm Integral Equations; 8.1 Introduction; 8.2 Details of Implementation in the Case of WeaklySingular Kernels; 8.3 Numerical Results; 8.4 Conclusion; References; 9 Infiltration Simulation in Porous Media: A Universal Functional Solution for Unsaturated Media 9.1 Introduction9.2 Modelling Infiltration by the Richards Equation; 9.3 The Parametrised Solution; 9.4 Comparison to Benchmark Simulations (HYDRUS) and Self-Consistency Test; 9.5 Conclusions; References; 10 Mathematical Models of Cell Clustering Due to Chemotaxis; 10.1 Introduction; 10.2 Simple Model; 10.3 Boundary Integral Model; 10.4 Numerical Results; 10.5 Conclusions; References; 11 An Acceleration Approach for Fracture Problems in the Extended Boundary Element Method (XBEM) Framework; 11.1 Introduction; 11.2 Extended Boundary Element Method; 11.3 Adaptive Cross Approximation
This contributed volume contains a collection of articles on the most recent advances in integral methods. Written by internationally recognized researchers, the chapters in this book are based on talks given at the Fourteenth International Conference on Integral Methods in Science and Engineering, held July 25-29, 2016, in Padova, Italy.
9783319593876 3319593870
Integral equations--Congresses--Numerical solutions
Mathematical analysis--Congresses
Science--Mathematics--Congresses
Engineering mathematics--Congresses
515.45 IN TE
Preface; Digital Art by Walid Ben Medjedel; Contents; List of Contributors; 1 On a Continuous Energy Monte Carlo Simulator for Neutron Transport: Optimisation with Fission, Intermediate and Thermal Distributions; 1.1 Introduction; 1.2 Neutron Transport by a Monte Carlo Method; 1.3 Program Description; 1.4 Nuclear Reactions; 1.5 Coupled Distributions; 1.6 Results; 1.7 Conclusions and Future Work; References; 2 The Use of Similarity Indices in the Analysis of Temporal Distribution of Mammals; 2.1 Introduction; 2.2 The Case Study; 2.3 The Statistical Model; 2.4 Results 2.5 Discussion and ConclusionReferences; 3 The Method of Superposition for Near-Field Acoustic Holography in a Semi-anechoic Chamber; 3.1 Introduction; 3.2 Method of Superposition; 3.3 Near-Field Acoustic Holography in a Half-Space; 3.4 Regularisation and Sparse Reconstruction; 3.5 Numerical Results; 3.6 Conclusions; References; 4 Application of Stochastic Dynamic Programming in Demand Dispatch-Based Optimal Operation of a Microgrid; 4.1 Introduction; 4.2 Problem Description; 4.3 Stochastic Dynamic Programming; 4.4 Inventory Control Model 4.5 Problem Formulation by SDP (Inventory Control Model)4.6 Lemma; 4.7 Solution Approach: Step by Step; 4.8 Summary and Conclusion; References; 5 Spectral Boundary Element Algorithms for Multi-Length Interfacial Dynamics; 5.1 Introduction; 5.2 Mathematical Formulation; 5.3 Interfacial Spectral Boundary Element Algorithms; 5.4 Multi-Length Interfacial Dynamics Problems; References; 6 Kinect Depth Recovery Based on Local Filtersand Plane Primitives; 6.1 Introduction; 6.2 Proposed Method; 6.3 Experimental Results; 6.4 Conclusion; References 7 On the Neutron Point Kinetic Equation with Reactivity Decomposition Based on Two Time Scales7.1 Introduction; 7.2 Neutron Poisons; 7.3 Point Kinetics with Poisons; 7.4 Solution by Decomposition; 7.5 Numerical Results; 7.6 Algorithm Stability; 7.7 Conclusions; References; 8 Iterated Kantorovich vs Kulkarni Method for Fredholm Integral Equations; 8.1 Introduction; 8.2 Details of Implementation in the Case of WeaklySingular Kernels; 8.3 Numerical Results; 8.4 Conclusion; References; 9 Infiltration Simulation in Porous Media: A Universal Functional Solution for Unsaturated Media 9.1 Introduction9.2 Modelling Infiltration by the Richards Equation; 9.3 The Parametrised Solution; 9.4 Comparison to Benchmark Simulations (HYDRUS) and Self-Consistency Test; 9.5 Conclusions; References; 10 Mathematical Models of Cell Clustering Due to Chemotaxis; 10.1 Introduction; 10.2 Simple Model; 10.3 Boundary Integral Model; 10.4 Numerical Results; 10.5 Conclusions; References; 11 An Acceleration Approach for Fracture Problems in the Extended Boundary Element Method (XBEM) Framework; 11.1 Introduction; 11.2 Extended Boundary Element Method; 11.3 Adaptive Cross Approximation
This contributed volume contains a collection of articles on the most recent advances in integral methods. Written by internationally recognized researchers, the chapters in this book are based on talks given at the Fourteenth International Conference on Integral Methods in Science and Engineering, held July 25-29, 2016, in Padova, Italy.
9783319593876 3319593870
Integral equations--Congresses--Numerical solutions
Mathematical analysis--Congresses
Science--Mathematics--Congresses
Engineering mathematics--Congresses
515.45 IN TE