[PDF] Top 20 Transparent Boundary Conditions for Time-Dependent Problems

... to transparent boundary condi- tions, derived in [18] for the time-dependent, one-dimensional case, is extended to time-dependent two-dimensional ... See full document

... for time-dependent Schr¨ odinger-type equations, later in [12, 13, 19] for time-harmonic scattering ...of time-dependent problems, showing good performance for different types of ... See full document

... a boundary value problem of the form (1), (2) and (3), with s ≤ 1 and p ≤ 1 , together with the potentials b n ( ) , we prove that provided the number of eigenvalues exceeds m + 1 , where m + 1 is the number of ... See full document

... The aim of this article is to investigate the inverse spectral and nodal problems for the BVP L. We show that the result on the Weyl m-function for L also holds by an alternative approach, which is a ... See full document

... of boundary value problems (BVP’s) on an arbitrary time scale T is a fairly new and important subject in ...with boundary conditions on T ... See full document

... certain time two spots, one hot and the other cold, appear on the surface of the bridge and the resulting flow is the superposition of two counter-propagating azimuthal waves with equal amplitudes (azymuthally ... See full document

... third-order boundary value problems with integral boundary conditions for an increasing homeomorphism and homomorphism on time ... See full document

... to boundary value problems with integral boundary conditions due to their various applications in chemical engineering, thermo- elasticity, population dynamics, heat conduction, chemical ... See full document

... formation time less than 4, indicating efficient ...formation time is increased beyond (L/D)* ≈ 4 (closed ...formation time is reached, followed by temporal decrease ... See full document

... Therein the “outer” part of the framework handles the time stepping process, the spray gun movement and computes the time-dependent input boundary conditions for the “inner” simulation m[r] ... See full document

... the time-dependent heat source and the temperature for the heat equation with Dirichlet boundary conditions and an integral over-determination ... See full document

... The purpose of writing this article is to show some spectral properties of the Bessel operator equation, with spectral parameter-dependent boundary condition. This problem arises upon separation of ... See full document

... a boundary condition is imposed on the outer boundary B ...finite boundary B ...computational boundary condition we introduce in this ...computational boundary condition is computed ... See full document

... Proof As in [, Section ], we can argue that for all λ ∈ C, L(λ, α) is a relatively com- pact perturbation of L(, ), where L(, ) is well known to be a Fredholm operator. The statement on the location of the ... See full document

... [2] L. E. Payne and G. A. Philippin, “On Blow-Up Phenom- ena for Solutions of a Class of Nonlinear Parabolic Prob- lems with Time Dependent Coefficients under Dirichlet Boundary Conditions,” ... See full document

... type boundary value problems consisting of a two-interval Sturm-Liouville equation together with boundary and transmission conditions dependent on eigenparameter is ... See full document

... the boundary with essential boundary conditions, and in terms of a linear combination of particular solutions of the steady state version of the problem to be ...let boundary, and adding a set ... See full document

... ary conditions in the above-mentioned general ...lar boundary conditions and formulate the corresponding boundary value ...for boundary value problems ... See full document

... We study the existence of solutions for a class of fractional differential equations. Due to the singularity of the possible solutions, we introduce a new and proper concept of periodic boundary value ... See full document

... coefficient problems and problems with discontinuous coefficients took an impor- tant ...Inverse problems arise in situations, when the structure of the mathematical model of the studying process is ... See full document