New Difference Schemes for Partial Differential Equations
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Beschreibung
The present monograph is devoted to the construction and investigation of new difference schemes for approximating the solutions of regular and singular perturbation boundary-value problems for partial differential equations. This approach permits extending essentially a class of problems where the theory of difference methods is applicable. Namely, it is now possible to investigate differential equations with variable coefficients and regular and singular perturbation boundary-value problems. The investigation is based on new coercivity inequalities.
The book will be of value for professional mathematicians as well as for advanced students in the fields of numerical analysis, functional analysis, and differential equations.
Highly accurate difference schemes for parabolic boundary value problems, based on Pade approximations
Autor*in
Allaberen Ashyralyev
Themen in »New Difference Schemes for Partial Differential Equations«
Boundary value problem Numerische Analysis Operatortheorie Partielle Differentialgleichungen functional analysis hyperbolic equation numerical analysis partial differential equation partial differential equations