Buch, Englisch, 300 Seiten, Format (B × H): 178 mm x 254 mm, Gewicht: 712 g
Buch, Englisch, 300 Seiten, Format (B × H): 178 mm x 254 mm, Gewicht: 712 g
ISBN: 978-0-367-19917-3
Verlag: Taylor & Francis Ltd
Widely used methods include: Finite Difference Method (FDM), Finite Element Method (FEM), Finite Volume Method (FVM) and Galerkin Method (GM). Unfortunately, none of these are versatile. Each has merits and limitations. For example, the widely used FDM and FEM suffers from difficulties in problem solving when rapid changes appear in singularities. Even with the modern computing machines, analysis of shock-wave or crack propagations in three dimensional solids by the existing classical numerical schemes is challenging (computational time/memory requirements). Therefore, with the availability of faster computing machines, research into the development of new efficient schemes for approximate solutions/numerical simulations is an ongoing parallel activity. Numerical methods based on wavelet basis (multiresolution analysis) may be regarded as a confluence of widely used numerical schemes based on Finite Difference Method, Finite Element Method, Galerkin Method, etc. The objective of this monograph is to deal with numerical techniques to obtain (multiscale) approximate solutions in wavelet basis of different types of integral equations with kernels involving varieties of singularities appearing in the field of elasticity, fluid mechanics, electromagnetics and many other domains in applied science and engineering.
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
- Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
- Naturwissenschaften Biowissenschaften Biowissenschaften
- Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
- Mathematik | Informatik Mathematik Mathematik Allgemein Zahlensysteme
Weitere Infos & Material
1.Introduction. 2. Multiresolution Analysis. 3. Approximation in Multiscale Basis. 4. Multiscale Solution of Weakly Singular IntegralEquations of Second Kind with Abel type and Logarithmic Kernels. 5. Multiscale Solution of Cauchy Singular Integral Equations ofSecond Kind. 6. Multiscale Solution of Hypersingular Integral Equations of Second Kind. 7. Multiscale Solution of Nonlinear SingularIntegral/Integro-differential Equations.