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Advances in meshfree and x-fem methods [[electronic resource] ] : proceedings of the 1 st Asian Workshop on Meshfree Methods, Singapore, 16-18 December, 2002 / / editors, G.R. Liu
| Advances in meshfree and x-fem methods [[electronic resource] ] : proceedings of the 1 st Asian Workshop on Meshfree Methods, Singapore, 16-18 December, 2002 / / editors, G.R. Liu |
| Pubbl/distr/stampa | Singapore, : World Scientific, 2003 |
| Descrizione fisica | 1 online resource (274 p.) |
| Disciplina | 518.6 |
| Altri autori (Persone) | LiuG. R (Gui-Rong) |
| Soggetto topico |
Meshfree methods (Numerical analysis)
Numerical analysis |
| Soggetto genere / forma | Electronic books. |
| ISBN | 981-277-861-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Section 1. Keynote paper. 1.1. Seamless and parallel computing by using free mesh method: a kind of meshless technique / G. Yagawa -- Section 2. Meshfree formulations. 2.1. Analysis of 3D solid with complicated geometry using finite cover method / K. Suzuki and H. Ohtsubo -- 2.2. A meshless method using radial basis functions for solving wave equations / C.S. Chen, Jichun Li and D.W. Pepper -- 2.3. Meshless computational method by using radial basis functions / Benny Y.C. Hon -- 2.4. Recent advances in the method of fundamental solutions / A. Karageorghis, G. Fairweather and P.A. Martin -- 2.5. A study on the patch test of point interpolation methods / Y.T. Gu -- 2.6. A comparison between radial point interpolation method (RPIM) and Kriging based meshfree method / G.R. Liu ... [et al.] -- 2.7. Radial basis point interpolation collocation method for 2-D solid problem / Xin Liu ... [et al.] -- Section 3. Meshfree methods for smart materials/structures. 3.1. Point interpolation mesh free method for static and frequency analysis of two-dimensional piezoelectric structures / K.Y Dai, G.R. Liu and K.M. Lim -- 3.2. A hybrid meshless-differential order reduction (HM-DOR) method for deformation control of smart circular plate by sensors/actuators / J.Q. Cheng ... [et al.] -- Section 4. Meshfree methods for fracture analysis. 4.1. Application of 3D free mesh method to fracture analysis of concrete / Hitoshi Matsubara ... [et al.] -- 4.2. Meshless analysis integrate system for structural and fracture mechanics analysis / Seiya Hagihara ... [et al.] -- 4.3. Application of 2-dimensional crack propagation problem using free mesh method / J. Imasato and Y. Sakai -- Section 5. Meshfree methods for membranes, plates & shells. 5.1. Analysis of membrane structures with large sliding cable using mixed displacement formulation and EFGM / Hirohisa Noguchi, Yoshitomo Sato and Tetsuya Kawashima -- 5.2. The effects of the enforcement of compatibility in the radial point interpolation method for analyzing Mindlin plates / X.L. Chen, G.R. Liu and S.P. Lim -- 5.3. A mesh free method for dynamic analysis of thin shells / L. Liu and V.B.C. Tan -- 5.4. A conforming point interpolation method for analyzing spatial thick shell structures / L. Liu ... [et al.].
Section 6. Meshfree methods for soil. 6.1. Characteristics of localized behavior of saturated soil with pore water via mesh-free method / S. Arimoto, A. Murakami -- 6.2. Radial point interpolation method for interface problems / J.G. Wang, T. Nogami and Md. Rezaul Karim -- Section 7. Meshfree methods for CFD. 7.1. Application of free mesh method to viscoplastic flow analysis of fresh concrete / Jun Tomiyama ... [et al.] -- 7.2. A meshless local radial point interpolation method (LRPIM) for fluid flow problems / Y.L. Wu -- 7.3. Application of meshless point interpolation method with matrix triangularization algorithm to natural convection / G.R. Liu and Y.L. Wu -- 7.4. The solution for convection-diffusion equations using the quasi-interpolation scheme with local polynomial reproduction based on moving least squares / Xin Liu ... [et al.] -- Section 8. Boundary meshfree methods. 8.1. Regular hybrid boundary node method / J.M. Zhang and Z.H. Yao -- 8.2. Radial boundary node method for elastic problem / H. Xie, T. Nogami and J.G. Wang -- 8.3. A hybrid boundary point interpolation method (HBPIM) and its coupling with EFG method / Y.T. Gu and G.R. Lin -- Section 9. Coding, error estimation, parallisation. 9.1. Error regulation in EFGM adaptive scheme / W. Kanok-Nukulchai and X.P. Yin -- 9.2. Object oriented development of FMM3D: foundation software for parallel 3D free mesh method / Yutaka Nakama ... [et al.] -- 9.3. An approach for nodal selection in MFree2D[symbol] / G.R. Liu, Edgar Frijters and Y.T. Gu -- Section 10. Meshfree particle methods. 10.1. Coupling meshfree particle method with molecular dynamics novel approach for multdscale simulations / M.B. Liu, G.R. Liu and K.Y. Lam -- 10.2. Adaptive smoothed particle hydrodynamics with strength of materials, part I / G.L. Chin, K.Y. Lam and G.R. Liu -- 10.3. Adaptive smoothed particle hydrodynamics with strength of materials, part II / G.L. Chin, K.Y. Lam and G.R. Liu -- 10.4. Numerical simulation of perforation of concrete slabs by steel rods using SPH method / H.F. Qiang and S.C. Fan -- Section 11. X-FEM. 11.1. Three dimensional crack growth analysis using overlaying mesh method and X-FEM / S. Nakasumi, K. Suzuki and H. Ohtsubo -- 11.2. Buckling analysis of composite laminates with delaminations using X-FEM / T. Nagashima and H. Suemasu -- 11.3. Boundary condition enforcement in voxel-type FEM / T. Nagashima. |
| Record Nr. | UNINA-9910458439803321 |
| Singapore, : World Scientific, 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Advances in meshfree and x-fem methods [[electronic resource] ] : proceedings of the 1 st Asian Workshop on Meshfree Methods, Singapore, 16-18 December, 2002 / / editors, G.R. Liu
| Advances in meshfree and x-fem methods [[electronic resource] ] : proceedings of the 1 st Asian Workshop on Meshfree Methods, Singapore, 16-18 December, 2002 / / editors, G.R. Liu |
| Pubbl/distr/stampa | Singapore, : World Scientific, 2003 |
| Descrizione fisica | 1 online resource (274 p.) |
| Disciplina | 518.6 |
| Altri autori (Persone) | LiuG. R (Gui-Rong) |
| Soggetto topico |
Meshfree methods (Numerical analysis)
Numerical analysis |
| ISBN | 981-277-861-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Section 1. Keynote paper. 1.1. Seamless and parallel computing by using free mesh method: a kind of meshless technique / G. Yagawa -- Section 2. Meshfree formulations. 2.1. Analysis of 3D solid with complicated geometry using finite cover method / K. Suzuki and H. Ohtsubo -- 2.2. A meshless method using radial basis functions for solving wave equations / C.S. Chen, Jichun Li and D.W. Pepper -- 2.3. Meshless computational method by using radial basis functions / Benny Y.C. Hon -- 2.4. Recent advances in the method of fundamental solutions / A. Karageorghis, G. Fairweather and P.A. Martin -- 2.5. A study on the patch test of point interpolation methods / Y.T. Gu -- 2.6. A comparison between radial point interpolation method (RPIM) and Kriging based meshfree method / G.R. Liu ... [et al.] -- 2.7. Radial basis point interpolation collocation method for 2-D solid problem / Xin Liu ... [et al.] -- Section 3. Meshfree methods for smart materials/structures. 3.1. Point interpolation mesh free method for static and frequency analysis of two-dimensional piezoelectric structures / K.Y Dai, G.R. Liu and K.M. Lim -- 3.2. A hybrid meshless-differential order reduction (HM-DOR) method for deformation control of smart circular plate by sensors/actuators / J.Q. Cheng ... [et al.] -- Section 4. Meshfree methods for fracture analysis. 4.1. Application of 3D free mesh method to fracture analysis of concrete / Hitoshi Matsubara ... [et al.] -- 4.2. Meshless analysis integrate system for structural and fracture mechanics analysis / Seiya Hagihara ... [et al.] -- 4.3. Application of 2-dimensional crack propagation problem using free mesh method / J. Imasato and Y. Sakai -- Section 5. Meshfree methods for membranes, plates & shells. 5.1. Analysis of membrane structures with large sliding cable using mixed displacement formulation and EFGM / Hirohisa Noguchi, Yoshitomo Sato and Tetsuya Kawashima -- 5.2. The effects of the enforcement of compatibility in the radial point interpolation method for analyzing Mindlin plates / X.L. Chen, G.R. Liu and S.P. Lim -- 5.3. A mesh free method for dynamic analysis of thin shells / L. Liu and V.B.C. Tan -- 5.4. A conforming point interpolation method for analyzing spatial thick shell structures / L. Liu ... [et al.].
Section 6. Meshfree methods for soil. 6.1. Characteristics of localized behavior of saturated soil with pore water via mesh-free method / S. Arimoto, A. Murakami -- 6.2. Radial point interpolation method for interface problems / J.G. Wang, T. Nogami and Md. Rezaul Karim -- Section 7. Meshfree methods for CFD. 7.1. Application of free mesh method to viscoplastic flow analysis of fresh concrete / Jun Tomiyama ... [et al.] -- 7.2. A meshless local radial point interpolation method (LRPIM) for fluid flow problems / Y.L. Wu -- 7.3. Application of meshless point interpolation method with matrix triangularization algorithm to natural convection / G.R. Liu and Y.L. Wu -- 7.4. The solution for convection-diffusion equations using the quasi-interpolation scheme with local polynomial reproduction based on moving least squares / Xin Liu ... [et al.] -- Section 8. Boundary meshfree methods. 8.1. Regular hybrid boundary node method / J.M. Zhang and Z.H. Yao -- 8.2. Radial boundary node method for elastic problem / H. Xie, T. Nogami and J.G. Wang -- 8.3. A hybrid boundary point interpolation method (HBPIM) and its coupling with EFG method / Y.T. Gu and G.R. Lin -- Section 9. Coding, error estimation, parallisation. 9.1. Error regulation in EFGM adaptive scheme / W. Kanok-Nukulchai and X.P. Yin -- 9.2. Object oriented development of FMM3D: foundation software for parallel 3D free mesh method / Yutaka Nakama ... [et al.] -- 9.3. An approach for nodal selection in MFree2D[symbol] / G.R. Liu, Edgar Frijters and Y.T. Gu -- Section 10. Meshfree particle methods. 10.1. Coupling meshfree particle method with molecular dynamics novel approach for multdscale simulations / M.B. Liu, G.R. Liu and K.Y. Lam -- 10.2. Adaptive smoothed particle hydrodynamics with strength of materials, part I / G.L. Chin, K.Y. Lam and G.R. Liu -- 10.3. Adaptive smoothed particle hydrodynamics with strength of materials, part II / G.L. Chin, K.Y. Lam and G.R. Liu -- 10.4. Numerical simulation of perforation of concrete slabs by steel rods using SPH method / H.F. Qiang and S.C. Fan -- Section 11. X-FEM. 11.1. Three dimensional crack growth analysis using overlaying mesh method and X-FEM / S. Nakasumi, K. Suzuki and H. Ohtsubo -- 11.2. Buckling analysis of composite laminates with delaminations using X-FEM / T. Nagashima and H. Suemasu -- 11.3. Boundary condition enforcement in voxel-type FEM / T. Nagashima. |
| Record Nr. | UNINA-9910784769403321 |
| Singapore, : World Scientific, 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
B-series : algebraic analysis of numerical methods / / John C. Butcher
| B-series : algebraic analysis of numerical methods / / John C. Butcher |
| Autore | Butcher J. C (John Charles), <1933-> |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (x, 310 pages) : illustrations |
| Disciplina | 518.6 |
| Collana | Springer series in computational mathematics |
| Soggetto topico |
Runge-Kutta formulas
Fórmules de Runge-Kutta |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-70956-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Foreword -- Preface -- Contents -- Chapter 1 Differential equations, numerical methods and algebraic analysis -- 1.1 Introduction -- 1.2 Differential equations -- 1.3 Examples of differential equations -- 1.4 The Euler method -- 1.5 Runge-Kutta methods -- 1.6 Multivalue methods -- 1.7 B-series analysis of numerical methods -- Chapter 2 Trees and forests -- 2.1 Introduction to trees, graphs and forests -- 2.2 Rooted trees and unrooted (free) trees -- 2.3 Forests and trees -- 2.4 Tree and forest spaces -- 2.5 Functions of trees -- 2.6 Trees, partitions and evolutions -- 2.7 Trees and stumps -- 2.8 Subtrees, supertrees and prunings -- 2.9 Antipodes of trees and forests -- Chapter 3 B-series and algebraic analysis -- 3.1 Introduction -- 3.2 Autonomous formulation and mappings -- 3.3 Fréchet derivatives and Taylor series -- 3.4 Elementary differentials and B-series -- 3.5 B-series for flow_h and implicit_h -- 3.6 Elementary weights and the order of Runge-Kutta methods -- 3.7 Elementary differentials based on Kronecker products -- 3.8 Attainable values of elementary weights and differentials -- 3.9 Composition of B-series -- Chapter 4 Algebraic analysis and integration methods -- 4.1 Introduction -- 4.2 Integration methods -- 4.3 Equivalence and reducibility of Runge-Kutta methods -- 4.4 Equivalence and reducibility of integration methods -- 4.5 Compositions of Runge-Kutta methods -- 4.7 The B-group and subgroups -- 4.8 Linear operators on B* and B^0 -- Chapter 5 B-series and Runge-Kutta methods -- 5.1 Introduction -- 5.2 Order analysis for scalar problems -- 5.3 Stability of Runge-Kutta methods -- 5.4 Explicit Runge-Kutta methods -- 5.5 Attainable order of explicit methods -- 5.6 Implicit Runge-Kutta methods -- 5.7 Effective order methods -- Chapter 6 B-series and multivalue methods -- 6.1 Introduction.
6.2 Survey of linear multistep methods -- 6.3 Motivations for general linear methods -- 6.4 Formulation of general linear methods -- 6.5 Order of general linear methods -- 6.6 An algorithm for determining order -- Chapter 7 B-series and geometric integration -- 7.1 Introduction -- 7.2 Hamiltonian and related problems -- 7.3 Canonical and symplectic Runge-Kutta methods -- 7.4 G-symplectic methods -- 7.5 Derivation of a fourth order method -- 7.6 Construction of a sixth order method -- 7.7 Implementation -- 7.8 Numerical simulations -- 7.9 Energy preserving methods -- Answers to the exercises -- References -- Index. |
| Record Nr. | UNISA-996466544103316 |
Butcher J. C (John Charles), <1933->
|
||
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
B-series : algebraic analysis of numerical methods / / John C. Butcher
| B-series : algebraic analysis of numerical methods / / John C. Butcher |
| Autore | Butcher J. C (John Charles), <1933-> |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (x, 310 pages) : illustrations |
| Disciplina | 518.6 |
| Collana | Springer series in computational mathematics |
| Soggetto topico |
Runge-Kutta formulas
Fórmules de Runge-Kutta |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-70956-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Foreword -- Preface -- Contents -- Chapter 1 Differential equations, numerical methods and algebraic analysis -- 1.1 Introduction -- 1.2 Differential equations -- 1.3 Examples of differential equations -- 1.4 The Euler method -- 1.5 Runge-Kutta methods -- 1.6 Multivalue methods -- 1.7 B-series analysis of numerical methods -- Chapter 2 Trees and forests -- 2.1 Introduction to trees, graphs and forests -- 2.2 Rooted trees and unrooted (free) trees -- 2.3 Forests and trees -- 2.4 Tree and forest spaces -- 2.5 Functions of trees -- 2.6 Trees, partitions and evolutions -- 2.7 Trees and stumps -- 2.8 Subtrees, supertrees and prunings -- 2.9 Antipodes of trees and forests -- Chapter 3 B-series and algebraic analysis -- 3.1 Introduction -- 3.2 Autonomous formulation and mappings -- 3.3 Fréchet derivatives and Taylor series -- 3.4 Elementary differentials and B-series -- 3.5 B-series for flow_h and implicit_h -- 3.6 Elementary weights and the order of Runge-Kutta methods -- 3.7 Elementary differentials based on Kronecker products -- 3.8 Attainable values of elementary weights and differentials -- 3.9 Composition of B-series -- Chapter 4 Algebraic analysis and integration methods -- 4.1 Introduction -- 4.2 Integration methods -- 4.3 Equivalence and reducibility of Runge-Kutta methods -- 4.4 Equivalence and reducibility of integration methods -- 4.5 Compositions of Runge-Kutta methods -- 4.7 The B-group and subgroups -- 4.8 Linear operators on B* and B^0 -- Chapter 5 B-series and Runge-Kutta methods -- 5.1 Introduction -- 5.2 Order analysis for scalar problems -- 5.3 Stability of Runge-Kutta methods -- 5.4 Explicit Runge-Kutta methods -- 5.5 Attainable order of explicit methods -- 5.6 Implicit Runge-Kutta methods -- 5.7 Effective order methods -- Chapter 6 B-series and multivalue methods -- 6.1 Introduction.
6.2 Survey of linear multistep methods -- 6.3 Motivations for general linear methods -- 6.4 Formulation of general linear methods -- 6.5 Order of general linear methods -- 6.6 An algorithm for determining order -- Chapter 7 B-series and geometric integration -- 7.1 Introduction -- 7.2 Hamiltonian and related problems -- 7.3 Canonical and symplectic Runge-Kutta methods -- 7.4 G-symplectic methods -- 7.5 Derivation of a fourth order method -- 7.6 Construction of a sixth order method -- 7.7 Implementation -- 7.8 Numerical simulations -- 7.9 Energy preserving methods -- Answers to the exercises -- References -- Index. |
| Record Nr. | UNINA-9910483436503321 |
|
Butcher J. C (John Charles), <1933->
|
||
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Differential equations, mechanics, and computation / Richard S. Palais, Robert A. Palais
| Differential equations, mechanics, and computation / Richard S. Palais, Robert A. Palais |
| Autore | Palais, Richard S. |
| Pubbl/distr/stampa | Providence, R. I. : American Mathematical Society |
| Descrizione fisica | xiii, 313 p. : ill. ; 22 cm |
| Disciplina | 518.6 |
| Altri autori (Persone) | Palais, Robert Andrew |
| Collana | Student mathematical library, 1520-9121 ; 51. IAS/Park City mathematical subseries |
| Soggetto topico |
Evolution equations
Differential equations, Linear - Numerical solutions Differential equations - Numerical solutions Mechanics |
| ISBN | 9780821821381 |
| Classificazione |
AMS 34-01
AMS 65-01 AMS 70-01 LC QA371.P34 2009 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001838139707536 |
|
Palais, Richard S.
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| Providence, R. I. : American Mathematical Society | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Fractal-based methods in analysis / Herb Kunze ... [et al.]
| Fractal-based methods in analysis / Herb Kunze ... [et al.] |
| Pubbl/distr/stampa | New York : Springer, c2012 |
| Descrizione fisica | xv, 408 p. : ill. ; 24 cm |
| Disciplina | 518.6 |
| Altri autori (Persone) |
Kunze, Herbauthor
La Torre, Davide Mendivil, Franklin Vrscay, Edward R. |
| Soggetto topico |
Numerical analysis
Mathematical analysis Fractals |
| ISBN | 9781461418900 |
| Classificazione |
AMS 28A80
AMS 28A33 AMS 28C AMS 45Q05 AMS 65L09 AMS 65N21 LC QA297.F668 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991002036819707536 |
| New York : Springer, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Introduction to numerical methods in differential equations / Mark H. Holmes.
| Introduction to numerical methods in differential equations / Mark H. Holmes. |
| Autore | Holmes, Mark H. |
| Pubbl/distr/stampa | New York : Springer, c2007 |
| Descrizione fisica | xi, 238 p. : ill. ; 25 cm |
| Disciplina | 518.6 |
| Collana | Texts in applied mathematics ; 52 |
| Soggetto topico | Differential equations - Numerical solutions - Textbooks |
| ISBN |
9780387308913
0387308911 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000410169707536 |
|
Holmes, Mark H.
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| New York : Springer, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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