The numerical computation of a class of divergent integrals
The Numerical Computation of Compressed States of Nonlinearly Elastic Anisotropic Plates.
The Numerical Computation of the Confluent Hypergeometric Function U(a,b,z)
The numerical convergence of the Landau-Lifshitz equations and its simulation.
The numerical decision of one problem of dispersion with application of zero functions of Lezhandra.
The Numerical Evaluation of Cauchy Principal Values of Integrals by Romberg-Integration.
The Numerical Evaluation of Hadamard Finite-part Integrals.
The Numerical Evaluation of Principal Value Integrals by Finite-Part Integration.
The numerical interface coupling of nonlinear hyperbolic systems of conservation laws : II. The case of systems
We study the theoretical and numerical coupling of two hyperbolic systems of conservation laws at a fixed interface. As already proven in the scalar case, the coupling preserves in a weak sense the continuity of the solution at the interface without imposing the overall conservativity of the coupled model. We develop a detailed analysis of the coupling in the linear case. In the nonlinear case, we either use a linearized approach or a coupling method based on the solution of a Riemann problem. We...
The numerical interface coupling of nonlinear hyperbolic systems of conservation laws: II. The case of systems
We study the theoretical and numerical coupling of two hyperbolic systems of conservation laws at a fixed interface. As already proven in the scalar case, the coupling preserves in a weak sense the continuity of the solution at the interface without imposing the overall conservativity of the coupled model. We develop a detailed analysis of the coupling in the linear case. In the nonlinear case, we either use a linearized approach or a coupling method based on the solution of a Riemann problem....
The numerical method for solving differential equations of Lane-Emden type by Padé approximation.
The numerical method of solving ordinary differential equations with the Cauchy initial condition
The Numerical Performance of Tricomi's Formula for Inverting the Laplace Transform.
The Numerical Solution of a Model Problem Biharmonic Equation by Using Extrapolated Altering Direction Implicit Methods.
The Numerical Solution of a Periodic Parabolic Problem Subject to a Nonlinear Boundary Condition. II.
The Numerical Solution of Boundary Value Problems for Second Order Functional Differential Equations by Finite Differences.
The numerical solution of boundary-value problems for differential equations with state dependent deviating arguments
A numerical method for the solution of a second order boundary value problem for differential equation with state dependent deviating argument is studied. Second-order convergence is established and a theorem about the asymptotic expansion of global discretization error is given. This theorem makes it possible to improve the accuracy of the numerical solution by using Richardson extrapolation which results in a convergent method of order three. This is in contrast to boundary value problems for...
The numerical solution of compressible flows in time dependent domains
This work is concerned with the numerical solution of inviscid compressible fluid flow in moving domains. Specifically, we assume that the boundary part of the domain (impermeable walls) are time dependent. We consider the Euler equations, which describe the movement of inviscid compressible fluids. We present two formulations of the Euler equations in the ALE (Arbitrary Lagrangian-Eulerian) form. These two formulations are discretized in space by the discontinuous Galerkin method. We apply a semi-implicit linearization...
The Numerical Solution Of Elliptic Partial Differential Equations By The Method Of Lines.
The Numerical Solution of Fredholm Integral Equations of the Second Kind with Singular Kernels.