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Integrating strong and weak discontinuities without integration subcells and example applications in an XFEM/GFEM framework
Schwarz Christoffel conformal mapping numerical integration extended finite element method quadrature generalized finite element method
2011/9/20
Abstract: Partition of unity methods, such as the extended finite element method (XFEM) allow discontinuities to be simulated independently of the mesh [1]. This eliminates the need for the mesh to be...
A new algebraic and arithmetic framework for interval computations
algebraic arithmetic framework interval computations Numerical Analysis
2011/10/9
Abstract: In this paper we propose some very promissing results in interval arithmetics which permit to build well-defined arithmetics including distributivity of multiplication and division according...
Methods of Approximation in hpk Framework for ODEs in Time Resulting from Decoupling of Space and Time in IVPs
Finite Element Approximations Numerical Studies Time Approximation Variationally Consis- tent Integral Forms
2013/1/30
The present study considers mathematical classification of the time differential operators and then applies methods of approximation in time such as Galerkin method (GM ), Galerkin method with weak fo...
The non-autonomous chiral model and the Ernst equation of General Relativity in the bidifferential calculus framework
non-autonomous chiral model bidifferential calculus framework Ernst equation General Relativity
2011/7/7
We generate exact solutions of the non-autonomous chiral model, which in particular arises in General Relativity, using a general result of the bidifferential calculus approach to integrable PDDEs. In...
The non-autonomous chiral model and the Ernst equation of General Relativity in the bidifferential calculus framework
non-autonomous chiral model bidifferential calculus framework Ernst equation General Relativity
2011/7/7
We generate exact solutions of the non-autonomous chiral model, which in particular arises in General Relativity, using a general result of the bidifferential calculus approach to integrable PDDEs. In...
Fixed-Point Approaches to Computing Bertrand-Nash Equilibrium Prices Under Mixed Logit Demand: A Technical Framework for Analysis and Efficient Computational Methods
Mixed Logit Demand Technical Framework Analysis Efficient Computational Methods
2011/2/28
Bertrand competiton has been a prominent paradigm for the empirical study of differentiated
product markets for at least twenty years. Firms engaged in Bertrand competition maximize profits by choosi...