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Advances in the applications of nonstandard finite diffference schemes [[electronic resource] /] / editor, Ronald E. Mickens
| Advances in the applications of nonstandard finite diffference schemes [[electronic resource] /] / editor, Ronald E. Mickens |
| Pubbl/distr/stampa | Hackensack, NJ, : World Scientific, c2005 |
| Descrizione fisica | 1 online resource (665 p.) |
| Disciplina | 518/.64 |
| Altri autori (Persone) | MickensRonald E. <1943-> |
| Soggetto topico |
Differential equations, Partial - Numerical solutions
Differential equations - Numerical solutions Finite differences |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-89925-9
9786611899257 981-270-331-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; CONTENTS; 1 Nonstandard Finite Difference Methods R. E. Mickens; 2 Application of Nonstandard Finite Difference Schemes to the Simulation Studies of Robotic Systems R. F. Abo-Shanab. N . Sepehri and C. Q. Wu; 3 Applications of Mickens Finite Differences to Several Related Boundary Value Problems R. Buckmire; 4 High Accuracy Nonstandard Finite-Difference Time- Domain Algorithms for Computational Electromagnetics: Applications to Optics and Photonics J. B. Cole
5 Nonstandard Finite Difference Schemes for Solving Nonlinear Micro Heat Transport Equations in Double-Layered Metal Thin Films Exposed to Ultrashort Pulsed Lasers W. Dai6 Reliable Finite Difference Schemes with Applications in Mathematical Ecology D. T. Dimitrow. H . V . Kojouharov and B. M. Chen-Charpentier; 7 Applications of the Non-Standard Finite Difference Method in Non-Smooth Mechanics Y. Dumont; 8 Finite Difference Schemes on Unbounded Domains M. Ehrhardt 9 Asymptotically Consistent Non-Standard Finite-Difference Methods for Solving Mathematical Models Arising in Population Biology A . B . Gumel, K . C . Patidar and R . J . Spiteri10 Nonstandard Finite Difference Methods and Biological Models S. R.-J. Jang; 11 Robust Discretizations versus Increase of the Time Step for Chaotic Systems C. Letellier and E. M. A. M. Mendes; 12 Contributions to the Theory of Non-Standard Finite Difference Methods and Applications to Singular Perturbation Problems J. M.-S. Luburna and K. C. Patidar 13 Frequency Accurate Finite Difference Methods A. L. Perkins P. A. Orlin and F. Zand14 Nonstandard Discretization Methods on Lotka-Volterra Differential Equations L.-I. W. Roeger |
| Record Nr. | UNINA-9910450693203321 |
| Hackensack, NJ, : World Scientific, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Advances in the applications of nonstandard finite diffference schemes [[electronic resource] /] / editor, Ronald E. Mickens
| Advances in the applications of nonstandard finite diffference schemes [[electronic resource] /] / editor, Ronald E. Mickens |
| Pubbl/distr/stampa | Hackensack, NJ, : World Scientific, c2005 |
| Descrizione fisica | 1 online resource (665 p.) |
| Disciplina | 518/.64 |
| Altri autori (Persone) | MickensRonald E. <1943-> |
| Soggetto topico |
Differential equations, Partial - Numerical solutions
Differential equations - Numerical solutions Finite differences |
| ISBN |
1-281-89925-9
9786611899257 981-270-331-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; CONTENTS; 1 Nonstandard Finite Difference Methods R. E. Mickens; 2 Application of Nonstandard Finite Difference Schemes to the Simulation Studies of Robotic Systems R. F. Abo-Shanab. N . Sepehri and C. Q. Wu; 3 Applications of Mickens Finite Differences to Several Related Boundary Value Problems R. Buckmire; 4 High Accuracy Nonstandard Finite-Difference Time- Domain Algorithms for Computational Electromagnetics: Applications to Optics and Photonics J. B. Cole
5 Nonstandard Finite Difference Schemes for Solving Nonlinear Micro Heat Transport Equations in Double-Layered Metal Thin Films Exposed to Ultrashort Pulsed Lasers W. Dai6 Reliable Finite Difference Schemes with Applications in Mathematical Ecology D. T. Dimitrow. H . V . Kojouharov and B. M. Chen-Charpentier; 7 Applications of the Non-Standard Finite Difference Method in Non-Smooth Mechanics Y. Dumont; 8 Finite Difference Schemes on Unbounded Domains M. Ehrhardt 9 Asymptotically Consistent Non-Standard Finite-Difference Methods for Solving Mathematical Models Arising in Population Biology A . B . Gumel, K . C . Patidar and R . J . Spiteri10 Nonstandard Finite Difference Methods and Biological Models S. R.-J. Jang; 11 Robust Discretizations versus Increase of the Time Step for Chaotic Systems C. Letellier and E. M. A. M. Mendes; 12 Contributions to the Theory of Non-Standard Finite Difference Methods and Applications to Singular Perturbation Problems J. M.-S. Luburna and K. C. Patidar 13 Frequency Accurate Finite Difference Methods A. L. Perkins P. A. Orlin and F. Zand14 Nonstandard Discretization Methods on Lotka-Volterra Differential Equations L.-I. W. Roeger |
| Record Nr. | UNINA-9910783927403321 |
| Hackensack, NJ, : World Scientific, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Elliptic Theory for Sets with Higher Co-Dimensional Boundaries
| Elliptic Theory for Sets with Higher Co-Dimensional Boundaries |
| Autore | David Guy |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 2022 |
| Descrizione fisica | 1 online resource (136 pages) |
| Disciplina | 518/.64 |
| Altri autori (Persone) |
FeneuilJoseph
MayborodaSvitlana |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Differential equations, Elliptic
Degenerate differential equations Harmonic functions Harmonic analysis Boundary value problems Potential theory -- Higher-dimensional theory -- Harmonic, subharmonic, superharmonic functions Partial differential equations -- Elliptic equations and systems -- Boundary value problems for second-order elliptic equations Measure and integration -- Classical measure theory -- Length, area, volume, other geometric measure theory Measure and integration -- Classical measure theory -- Hausdorff and packing measures Partial differential equations -- Elliptic equations and systems -- Degenerate elliptic equations Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Singular and oscillatory integrals (Calderón-Zygmund, etc.) Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Maximal functions, Littlewood-Paley theory Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Harmonic analysis and PDE |
| ISBN |
9781470469153
1470469154 |
| Classificazione | 31B0535J2528A7528A7835J7042B2042B2542B37 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The Harnack chain condition and the doubling property -- Traces -- Poincaré inequalities -- Completeness and density of smooth functions -- The chain rule and applications -- The extension operator -- Definition of solutions -- Harmonic measure -- Green functions -- The comparison principle. |
| Record Nr. | UNINA-9910960760203321 |
David Guy
|
||
| Providence : , : American Mathematical Society, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Handbook on Navier-Stokes equations : theory and applied analysis / / Denise Campos, editor
| Handbook on Navier-Stokes equations : theory and applied analysis / / Denise Campos, editor |
| Pubbl/distr/stampa | New York : , : Nova Publishers, , 2016 |
| Descrizione fisica | 1 online resource (508 pages) : color illustrations |
| Disciplina | 518/.64 |
| Collana | Physics Research and Technology |
| Soggetto topico |
Navier-Stokes equations
Fluid dynamics - Mathematics Mathematical analysis |
| ISBN | 1-5361-0308-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Generation of meshes in cardiovascular systems I: resolution of the Navier-Stokes equations for the blood flow in abdominal aortic aneurysms / Alejandro Acevedo-Malavé (Multidisciplinary Center of Sciences, Venezuelan Institute for Scientific Research (IVIC), Mérida, Venezuela) -- Generation of meshes in cardiovascular systems II: the blood flow in abdominal aortic aneurysms with exovascular stent devices / Alejandro Acevedo-Malavé (Multidisciplinary Center of Sciences, Venezuelan Institute for Scientific Research (IVIC), Mérida, Venezuela) -- A computational fluid dynamics (CFD) study of the blood flow in abdominal aortic aneurysms for real geometries in specific patients / Alejandro Acevedo-Malavé, Ricardo Fontes-Carvalho and Nelson Loaiza (Multidisciplinary Center of Sciences, Venezuelan Institute for Scientific Research (IVIC), Mérida, Venezuela, and others) -- Numerical resolution of the Navier-Stokes equations for the blood flow in intracranial aneurysms: a 3D approach using the finite volume method / Alejandro Acevedo-Malavé (Multidisciplinary Center of Sciences, Venezuelan Institute for Scientific Research (IVIC), Mérida, Venezuela) -- Numerical simulation of the turbulent flow around a savonius wind rotor using the Navier-Stokes equations / S. Frikha, Z. Driss, H. Kchaou and M.S. Abid (Laboratory of Electro-Mechanic Systems (LASEM), National Engineering School of Sfax (ENIS), University of Sfax (US), Sfax, Tunisia) -- Numerical prediction of the effect of the diameter outlet on the mixer flow of the diesel with the biodiesel / Mariem Lajnef, Zied Driss, Mohamed Chtourou, Dorra Driss, and Hedi Kchaou (Laboratory of Electro-Mechanic Systems (LASEM), National School of Engineers of Sfax (ENIS), University of Sfax (US), Sfax, Tunisia) -- Computer simulation of the turbulent flow around a six-blade rushton turbine / Zied Driss, Abdelkader Salah, Abdessalem Hichri, Sarhan Karray, and Mohamed Salah Abid (Laboratory of Electro-Mechanic Systems (LASEM), National School of Engineers of Sfax (ENIS), University of Sfax (US), Sfax, Tunisia) -- Study of the meshing choice of a negatively buoyant jet injected in a miscible liquid / Oumaima Eleuch, Noureddine Latrache, Sobhi Frikha, and Zied Driss (Laboratory of Electro-Mechanic Systems (LASEM), National School of Engineers of Sfax (ENIS), University of Sfax (US), Sfax, Tunisia, and others) -- Study of the wedging angle effect of a NACA2415 airfoil wind turbine / Zied Driss, Walid Barhoumi, Tarek Chelbi, and Mohamed Salah Abid (Laboratory of Electro-Mechanic Systems (LASEM), National School of Engineers of Sfax (ENIS), University of Sfax (US), Sfax, Tunisia) -- Study of the meshing effect on the flow characteristics inside a SCPP / Ahmed Ayadi, Abdallah Bouabidi, Zied Driss and Mohamed Salah Abid (Laboratory of Electro-Mechanic Systems (LASEM), National Engineering School of Sfax (ENIS), University of Sfax (US), Sfax, Tunisia) -- Study of the natural ventilation in a residential living room opening with two no-opposed positions / Slah Driss, Zied Driss, Imen Kallel Kammoun (Laboratory of Electro-Mechanic Systems (LASEM), National School of Engineers of Sfax (ENIS), University of Sfax (US), Sfax, Tunisia) -- Existence, uniqueness and smoothness of a solution for 3D Navier-Stokes equations with any smooth initial velocity. A priori estimate of this solution / Arkadiy Tsionskiy and Mikhail Tsionskiy (Tucson, AZ, USA, and others) -- Fuzzy solutions of 2D Navier-Stokes equations / Yung-Yue Chen (Department of Systems and Naval Mechatronic Engineering, National Cheng Kung University, Tainan, Taiwan) -- Effective wall-laws for Stokes equations over curved rough boundaries / Myong-Hwan Ri (Institute of Mathematics, State Academy of Sciences, DPR Korea) -- Singularities of the Navier-Stokes equations in differential form at the interface between air and water / Xianyun Wen (Institute for Climate and Atmospheric Science, School of Earth and Environment, University of Leeds, Leeds, England, UK) -- Self-similar analysis of various Navier-Stokes equations in two or three dimensions / I.F. Barna (Wigner Research Center of the Hungarian Academy of Sciences, Plasma Physics Department, Budapest, Hungary) -- Asymptotic solutions for the Navier-Stokes equations, describing systems of vortices with different spatial structures / Victor P. Maslov and Andrei I. Shafarevich (M.V. Lomonosov Moscow State University, Moscow, Russia) -- Analytic solutions of incompressible Navier-Stokes equations by Green's function method / Algirdas Maknickas and Algis Dziugys (Institute of Mechanical Science, Vilnius Gediminas Technical University, Vilnius, Lithuania, and others) -- Analysis of the time step size effect for the study of the liquid sloshing inside a container / Abdallah Bouabidi, Zied Driss and Mohamed Salah Abid (Laboratory of Electro-Mechanic Systems (LASEM), National Engineering School of Sfax (ENIS), University of Sfax (US), Sfax, Tunisia) -- Numerical analysis of Navier-Stokes equations on unstructured meshes / K. Volkov (Faculty of Science, Engineering and Computing, Kingston University, London, UK, and others) -- Integrals of motion of an incompressible medium flow: from classic to contemporary / Alexander V. Koptev (Admiral Makarov State University of Maritime and Inland Shipping, Saint-Petersburg, Russia) -- Local exact controllability of the Boussinesq equations with boundary conditions on the pressure / Tujin Kim and Daomin Cao (Institute of Mathematics, State Academy of Sciences, Pyongyang, DPR Korea, and others). |
| Record Nr. | UNINA-9910155067803321 |
| New York : , : Nova Publishers, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Landau-Lifshitz equations [[electronic resource] /] / Boling Guo, Shijin Ding
| Landau-Lifshitz equations [[electronic resource] /] / Boling Guo, Shijin Ding |
| Autore | Guo Boling |
| Pubbl/distr/stampa | New Jersey, : World Scientific, c2008 |
| Descrizione fisica | 1 online resource (414 p.) |
| Disciplina | 518/.64 |
| Altri autori (Persone) | DingShijin <1959-> |
| Collana | Frontiers of research with the Chinese Academy of Sciences |
| Soggetto topico |
Differential equations, Partial - Numerical solutions
Maxwell equations - Numerical solutions Geometry Mathematical physics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-93002-4
9786611930028 981-277-876-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Spin waves and equations of ferromagnetic spin chain -- Integrability of Heisenberg chain -- One-dimensional Landau-Lifshitz equations -- Landau-Lifshitz equations and harmonic maps -- Landau-Lifshitz-Maxwell equations -- Long time behavior of solutions to the system of ferromagnetic spin chain. |
| Record Nr. | UNINA-9910453203303321 |
|
Guo Boling
|
||
| New Jersey, : World Scientific, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Landau-Lifshitz equations [[electronic resource] /] / Boling Guo, Shijin Ding
| Landau-Lifshitz equations [[electronic resource] /] / Boling Guo, Shijin Ding |
| Autore | Guo Boling |
| Pubbl/distr/stampa | New Jersey, : World Scientific, c2008 |
| Descrizione fisica | 1 online resource (414 p.) |
| Disciplina | 518/.64 |
| Altri autori (Persone) | DingShijin <1959-> |
| Collana | Frontiers of research with the Chinese Academy of Sciences |
| Soggetto topico |
Differential equations, Partial - Numerical solutions
Maxwell equations - Numerical solutions Geometry Mathematical physics |
| ISBN |
1-281-93002-4
9786611930028 981-277-876-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Spin waves and equations of ferromagnetic spin chain -- Integrability of Heisenberg chain -- One-dimensional Landau-Lifshitz equations -- Landau-Lifshitz equations and harmonic maps -- Landau-Lifshitz-Maxwell equations -- Long time behavior of solutions to the system of ferromagnetic spin chain. |
| Record Nr. | UNINA-9910782271503321 |
|
Guo Boling
|
||
| New Jersey, : World Scientific, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
LP-theory for incompressible Newtonian flows : energy preserving boundary conditions, weakly singular domains / / Matthias Kohne
| LP-theory for incompressible Newtonian flows : energy preserving boundary conditions, weakly singular domains / / Matthias Kohne |
| Autore | Kohne Matthias |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | New York, : Springer, 2013 |
| Descrizione fisica | 1 online resource (184 p.) |
| Disciplina |
518.64
518/.64 |
| Soggetto topico | Newtonian fluids |
| ISBN |
1-283-93558-9
3-658-01052-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Navier-Stokes Equations -- Energy Preserving Boundary Condition -- Weakly Singular Domain -- Maximal Lp-Regularity. |
| Record Nr. | UNINA-9910438029403321 |
|
Kohne Matthias
|
||
| New York, : Springer, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Numerical analysis of partial differential equations [[electronic resource] /] / S.H. Lui
| Numerical analysis of partial differential equations [[electronic resource] /] / S.H. Lui |
| Autore | Lui S. H (Shaun H.), <1961-> |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley, c2011 |
| Descrizione fisica | 1 online resource (508 p.) |
| Disciplina |
518.64
518/.64 |
| Collana | Pure and applied mathematics : a Wiley series of texts, monographs, and tracts |
| Soggetto topico |
Differential equations, Partial - Numerical solutions
Variational inequalities (Mathematics) |
| ISBN |
1-283-28277-1
9786613282774 1-118-11111-7 1-118-11113-3 1-118-11110-9 |
| Classificazione | MAT034000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Numerical Analysis of Partial Differential Equations; Contents; Preface; Acknowledgments; 1 Finite Difference; 1.1 Second-Order Approximation for Δ; 1.2 Fourth-Order Approximation for Δ; 1.3 Neumann Boundary Condition; 1.4 Polar Coordinates; 1.5 Curved Boundary; 1.6 Difference Approximation for Δ2; 1.7 A Convection-Diffusion Equation; 1.8 Appendix: Analysis of Discrete Operators; 1.9 Summary and Exercises; 2 Mathematical Theory of Elliptic PDEs; 2.1 Function Spaces; 2.2 Derivatives; 2.3 Sobolev Spaces; 2.4 Sobolev Embedding Theory; 2.5 Traces; 2.6 Negative Sobolev Spaces
2.7 Some Inequalities and Identities2.8 Weak Solutions; 2.9 Linear Elliptic PDEs; 2.10 Appendix: Some Definitions and Theorems; 2.11 Summary and Exercises; 3 Finite Elements; 3.1 Approximate Methods of Solution; 3.2 Finite Elements in 1D; 3.3 Finite Elements in 2D; 3.4 Inverse Estimate; 3.5 L2 and Negative-Norm Estimates; 3.6 Higher-Order Elements; 3.7 A Posteriori Estimate; 3.8 Quadrilateral Elements; 3.9 Numerical Integration; 3.10 Stokes Problem; 3.11 Linear Elasticity; 3.12 Summary and Exercises; 4 Numerical Linear Algebra; 4.1 Condition Number; 4.2 Classical Iterative Methods 4.3 Krylov Subspace Methods4.4 Direct Methods; 4.5 Preconditioning; 4.6 Appendix: Chebyshev Polynomials; 4.7 Summary and Exercises; 5 Spectral Methods; 5.1 Trigonometric Polynomials; 5.2 Fourier Spectral Method; 5.3 Orthogonal Polynomials; 5.4 Spectral Galerkin and Spectral Tau Methods; 5.5 Spectral Collocation; 5.6 Polar Coordinates; 5.7 Neumann Problems; 5.8 Fourth-Order PDEs; 5.9 Summary and Exercises; 6 Evolutionary PDEs; 6.1 Finite Difference Schemes for Heat Equation; 6.2 Other Time Discretization Schemes; 6.3 Convection-Dominated equations; 6.4 Finite Element Scheme for Heat Equation 6.5 Spectral Collocation for Heat Equation6.6 Finite Difference Scheme for Wave Equation; 6.7 Dispersion; 6.8 Summary and Exercises; 7 Multigrid; 7.1 Introduction; 7.2 Two-Grid Method; 7.3 Practical Multigrid Algorithms; 7.4 Finite Element Multigrid; 7.5 Summary and Exercises; 8 Domain Decomposition; 8.1 Overlapping Schwarz Methods; 8.2 Orthogonal Projections; 8.3 Non-overlapping Schwarz Method; 8.4 Substructuring Methods; 8.5 Optimal Substructuring Methods; 8.6 Summary and Exercises; 9 Infinite Domains; 9.1 Absorbing Boundary Conditions; 9.2 Dirichlet-Neumann Map; 9.3 Perfectly Matched Layer 9.4 Boundary Integral Methods9.5 Fast Multipole Method; 9.6 Summary and Exercises; 10 Nonlinear Problems; 10.1 Newton's Method; 10.2 Other Methods; 10.3 Some Nonlinear Problems; 10.4 Software; 10.5 Program Verification; 10.6 Summary and Exercises; Answers to Selected Exercises; References; Index |
| Record Nr. | UNINA-9910139600203321 |
|
Lui S. H (Shaun H.), <1961->
|
||
| Hoboken, N.J., : Wiley, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Numerical analysis of partial differential equations [[electronic resource] /] / S.H. Lui
| Numerical analysis of partial differential equations [[electronic resource] /] / S.H. Lui |
| Autore | Lui S. H (Shaun H.), <1961-> |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley, c2011 |
| Descrizione fisica | 1 online resource (508 p.) |
| Disciplina |
518.64
518/.64 |
| Collana | Pure and applied mathematics : a Wiley series of texts, monographs, and tracts |
| Soggetto topico |
Differential equations, Partial - Numerical solutions
Variational inequalities (Mathematics) |
| ISBN |
1-283-28277-1
9786613282774 1-118-11111-7 1-118-11113-3 1-118-11110-9 |
| Classificazione | MAT034000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Numerical Analysis of Partial Differential Equations; Contents; Preface; Acknowledgments; 1 Finite Difference; 1.1 Second-Order Approximation for Δ; 1.2 Fourth-Order Approximation for Δ; 1.3 Neumann Boundary Condition; 1.4 Polar Coordinates; 1.5 Curved Boundary; 1.6 Difference Approximation for Δ2; 1.7 A Convection-Diffusion Equation; 1.8 Appendix: Analysis of Discrete Operators; 1.9 Summary and Exercises; 2 Mathematical Theory of Elliptic PDEs; 2.1 Function Spaces; 2.2 Derivatives; 2.3 Sobolev Spaces; 2.4 Sobolev Embedding Theory; 2.5 Traces; 2.6 Negative Sobolev Spaces
2.7 Some Inequalities and Identities2.8 Weak Solutions; 2.9 Linear Elliptic PDEs; 2.10 Appendix: Some Definitions and Theorems; 2.11 Summary and Exercises; 3 Finite Elements; 3.1 Approximate Methods of Solution; 3.2 Finite Elements in 1D; 3.3 Finite Elements in 2D; 3.4 Inverse Estimate; 3.5 L2 and Negative-Norm Estimates; 3.6 Higher-Order Elements; 3.7 A Posteriori Estimate; 3.8 Quadrilateral Elements; 3.9 Numerical Integration; 3.10 Stokes Problem; 3.11 Linear Elasticity; 3.12 Summary and Exercises; 4 Numerical Linear Algebra; 4.1 Condition Number; 4.2 Classical Iterative Methods 4.3 Krylov Subspace Methods4.4 Direct Methods; 4.5 Preconditioning; 4.6 Appendix: Chebyshev Polynomials; 4.7 Summary and Exercises; 5 Spectral Methods; 5.1 Trigonometric Polynomials; 5.2 Fourier Spectral Method; 5.3 Orthogonal Polynomials; 5.4 Spectral Galerkin and Spectral Tau Methods; 5.5 Spectral Collocation; 5.6 Polar Coordinates; 5.7 Neumann Problems; 5.8 Fourth-Order PDEs; 5.9 Summary and Exercises; 6 Evolutionary PDEs; 6.1 Finite Difference Schemes for Heat Equation; 6.2 Other Time Discretization Schemes; 6.3 Convection-Dominated equations; 6.4 Finite Element Scheme for Heat Equation 6.5 Spectral Collocation for Heat Equation6.6 Finite Difference Scheme for Wave Equation; 6.7 Dispersion; 6.8 Summary and Exercises; 7 Multigrid; 7.1 Introduction; 7.2 Two-Grid Method; 7.3 Practical Multigrid Algorithms; 7.4 Finite Element Multigrid; 7.5 Summary and Exercises; 8 Domain Decomposition; 8.1 Overlapping Schwarz Methods; 8.2 Orthogonal Projections; 8.3 Non-overlapping Schwarz Method; 8.4 Substructuring Methods; 8.5 Optimal Substructuring Methods; 8.6 Summary and Exercises; 9 Infinite Domains; 9.1 Absorbing Boundary Conditions; 9.2 Dirichlet-Neumann Map; 9.3 Perfectly Matched Layer 9.4 Boundary Integral Methods9.5 Fast Multipole Method; 9.6 Summary and Exercises; 10 Nonlinear Problems; 10.1 Newton's Method; 10.2 Other Methods; 10.3 Some Nonlinear Problems; 10.4 Software; 10.5 Program Verification; 10.6 Summary and Exercises; Answers to Selected Exercises; References; Index |
| Record Nr. | UNINA-9910830714903321 |
|
Lui S. H (Shaun H.), <1961->
|
||
| Hoboken, N.J., : Wiley, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Numerical analysis of partial differential equations / / S.H. Lui
| Numerical analysis of partial differential equations / / S.H. Lui |
| Autore | Lui S. H (Shaun H.), <1961-> |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley, c2011 |
| Descrizione fisica | 1 online resource (508 p.) |
| Disciplina |
518.64
518/.64 |
| Collana | Pure and applied mathematics : a Wiley series of texts, monographs, and tracts |
| Soggetto topico |
Differential equations, Partial - Numerical solutions
Variational inequalities (Mathematics) |
| ISBN |
9786613282774
9781283282772 1283282771 9781118111116 1118111117 9781118111130 1118111133 9781118111109 1118111109 |
| Classificazione | MAT034000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Numerical Analysis of Partial Differential Equations; Contents; Preface; Acknowledgments; 1 Finite Difference; 1.1 Second-Order Approximation for Δ; 1.2 Fourth-Order Approximation for Δ; 1.3 Neumann Boundary Condition; 1.4 Polar Coordinates; 1.5 Curved Boundary; 1.6 Difference Approximation for Δ2; 1.7 A Convection-Diffusion Equation; 1.8 Appendix: Analysis of Discrete Operators; 1.9 Summary and Exercises; 2 Mathematical Theory of Elliptic PDEs; 2.1 Function Spaces; 2.2 Derivatives; 2.3 Sobolev Spaces; 2.4 Sobolev Embedding Theory; 2.5 Traces; 2.6 Negative Sobolev Spaces
2.7 Some Inequalities and Identities2.8 Weak Solutions; 2.9 Linear Elliptic PDEs; 2.10 Appendix: Some Definitions and Theorems; 2.11 Summary and Exercises; 3 Finite Elements; 3.1 Approximate Methods of Solution; 3.2 Finite Elements in 1D; 3.3 Finite Elements in 2D; 3.4 Inverse Estimate; 3.5 L2 and Negative-Norm Estimates; 3.6 Higher-Order Elements; 3.7 A Posteriori Estimate; 3.8 Quadrilateral Elements; 3.9 Numerical Integration; 3.10 Stokes Problem; 3.11 Linear Elasticity; 3.12 Summary and Exercises; 4 Numerical Linear Algebra; 4.1 Condition Number; 4.2 Classical Iterative Methods 4.3 Krylov Subspace Methods4.4 Direct Methods; 4.5 Preconditioning; 4.6 Appendix: Chebyshev Polynomials; 4.7 Summary and Exercises; 5 Spectral Methods; 5.1 Trigonometric Polynomials; 5.2 Fourier Spectral Method; 5.3 Orthogonal Polynomials; 5.4 Spectral Galerkin and Spectral Tau Methods; 5.5 Spectral Collocation; 5.6 Polar Coordinates; 5.7 Neumann Problems; 5.8 Fourth-Order PDEs; 5.9 Summary and Exercises; 6 Evolutionary PDEs; 6.1 Finite Difference Schemes for Heat Equation; 6.2 Other Time Discretization Schemes; 6.3 Convection-Dominated equations; 6.4 Finite Element Scheme for Heat Equation 6.5 Spectral Collocation for Heat Equation6.6 Finite Difference Scheme for Wave Equation; 6.7 Dispersion; 6.8 Summary and Exercises; 7 Multigrid; 7.1 Introduction; 7.2 Two-Grid Method; 7.3 Practical Multigrid Algorithms; 7.4 Finite Element Multigrid; 7.5 Summary and Exercises; 8 Domain Decomposition; 8.1 Overlapping Schwarz Methods; 8.2 Orthogonal Projections; 8.3 Non-overlapping Schwarz Method; 8.4 Substructuring Methods; 8.5 Optimal Substructuring Methods; 8.6 Summary and Exercises; 9 Infinite Domains; 9.1 Absorbing Boundary Conditions; 9.2 Dirichlet-Neumann Map; 9.3 Perfectly Matched Layer 9.4 Boundary Integral Methods9.5 Fast Multipole Method; 9.6 Summary and Exercises; 10 Nonlinear Problems; 10.1 Newton's Method; 10.2 Other Methods; 10.3 Some Nonlinear Problems; 10.4 Software; 10.5 Program Verification; 10.6 Summary and Exercises; Answers to Selected Exercises; References; Index |
| Record Nr. | UNINA-9911019991303321 |
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Lui S. H (Shaun H.), <1961->
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| Hoboken, N.J., : Wiley, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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