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unconditionally stable

High Order Unconditionally Stable FC AD PDE Solvers for General Domains

High Order Unconditionally Stable FC AD PDE Solvers for General Domains

... (conditionally stable) finite difference ...work, unconditionally stable high-order alternating direction algorithms for general domains, without some form of domain mapping, have not been ...and ...

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Unconditionally Stable Leapfrog Adi-FDTD Method for Lossy Media

Unconditionally Stable Leapfrog Adi-FDTD Method for Lossy Media

... Abstract—This paper presents an unconditionally stable leapfrog alternating-direction-implicit finite-difference time-domain (ADI- FDTD) method for lossy media. Conductivity terms of lossy media are ...

14

A one dimensional mathematical simulation to salinity control in a river with a barrage dam using an unconditionally stable explicit finite difference method

A one dimensional mathematical simulation to salinity control in a river with a barrage dam using an unconditionally stable explicit finite difference method

... Salinity refers to the amount of salt in rivers, where the salt can be in many different forms. There are two main methods of defining the concentration of salt in water such as the total dissolved solid measurement (TDS) ...

12

A 3-D Unconditionally Stable Laguerre-Rpim Meshless Method for Time-Domain Electromagnetic Computations

A 3-D Unconditionally Stable Laguerre-Rpim Meshless Method for Time-Domain Electromagnetic Computations

... proposed unconditionally stable meshless method presents stable solutions even when the time step is ten times the Courant stability ...proposed unconditionally stable meshless method ...

15

Modeling the Interaction of Terahertz Pulse with Healthy Skin and Basal Cell Carcinoma Using the Unconditionally Stable Fundamental Adi-FDTD Method

Modeling the Interaction of Terahertz Pulse with Healthy Skin and Basal Cell Carcinoma Using the Unconditionally Stable Fundamental Adi-FDTD Method

... the unconditionally stable fundamental alternating-direction-implicit finite-difference time- domain (FADI-FDTD) method [15], where the time step is no longer restricted by the above CFL ...

22

Weakly Conditionally Stable and Unconditionally Stable FDTD Schemes for 3D Maxwell's Equations

Weakly Conditionally Stable and Unconditionally Stable FDTD Schemes for 3D Maxwell's Equations

... and 44.64 s for the ADI-FDTD method, that is to say, under the same time-step size, the conventional FDTD method take the shortest computation time. All the other methods have lower efficiency than the conventional FDTD ...

38

Unconditionally stable scheme for Riccati equation

Unconditionally stable scheme for Riccati equation

... and the differential system (1) (11) is stable (see e.g. [Le86]). The pratical compu- tation of matrix X ∞ by direct methods is not obvious and we refer e.g. to Laub [La79]. If we wish to compute directly a ...

14

Unconditionally Stable Difference Scheme for the Numerical Solution of Nonlinear Rosenau-KdV Equation

Unconditionally Stable Difference Scheme for the Numerical Solution of Nonlinear Rosenau-KdV Equation

... In this paper we investigate a nonlinear evolution model described by the Rosenau-KdV equation. We propose a three-level average implicit finite difference scheme for its numerical solutions and prove that this scheme is ...

14

Stability and Dispersion Analysis for Three-Dimensional (3-D) Leapfrog Adi-FDTD Method

Stability and Dispersion Analysis for Three-Dimensional (3-D) Leapfrog Adi-FDTD Method

... This paper has presented the stability and dispersion analysis of the leapfrog ADI-FDTD method. The leapfrog ADI-FDTD method was reviewed and the implicit update equations presented. The leapfrog ADI-FDTD method was ...

12

The equity option volatility smile

The equity option volatility smile

... This paper illustrates how to construct an unconditionally stable finite-difference lattice consistent with the equity option volatility smile. In particular, the paper shows how to extend the method of ...

34

Unconditionally Explicit Stable Difference Schemes for Solving Some Linear and Non Linear Parabolic Differential Equation

Unconditionally Explicit Stable Difference Schemes for Solving Some Linear and Non Linear Parabolic Differential Equation

... (2001) Unconditionally Stable Explicit Difference Schemes for the Variable Coefficients Parabolic Diffe- rential Equation ...(2002) Unconditionally Stable Explicit Difference Schemes for the ...

16

Study of UPML Absorbing Boundary Condition for the Five-Step LOD-FDTD Method

Study of UPML Absorbing Boundary Condition for the Five-Step LOD-FDTD Method

... In this paper, the uniaxial anisotropic perfectly matched layer (UPML) absorbing boundary condition (ABC) in unconditionally stable five-step locally one-dimensional finite-difference time-domain (LOD5- ...

9

Conservative finite difference schemes for the chiral nonlinear Schrödinger equation

Conservative finite difference schemes for the chiral nonlinear Schrödinger equation

... discrete analog of the conserved quantity (). The scheme is of second order accuracy in time and space, it is unconditionally stable according to von Neumann stability analysis. In order to start the ...

14

Efficient Excitation of Waveguides in Crank-Nicolson FDTD

Efficient Excitation of Waveguides in Crank-Nicolson FDTD

... an unconditionally stable scheme [12], which permits to solve the fields located in the usual Yee-cube spatial disposition with an implicit-in-space marching-on-in- time ...

12

Modeling of Wave Propagation in General Dispersive Materials with Efficient ADE
-WLP-FDTD Method

Modeling of Wave Propagation in General Dispersive Materials with Efficient ADE -WLP-FDTD Method

... Based on auxiliary differential equation (ADE), an unconditionally stable WLP-FDTD was proposed to simulate electromagnetic wave propagation in general dispersive materials [9]. The method introduces an ADE ...

8

Generalized Alternating Direction Implicit Finite Difference Time Domain Method in Curvilinear Coordinate System

Generalized Alternating Direction Implicit Finite Difference Time Domain Method in Curvilinear Coordinate System

... It can be seen that the ADI-NFDTD method can pro- vide results with less numerical error while using less computer memory and less simulation run time. This demonstrates the accuracy and computing efficiency im- ...

9

Unconditionally  secure  multi-party  quantum  commitment  scheme

Unconditionally secure multi-party quantum commitment scheme

... A new unconditionally secure multi-party quantum commitment is proposed in this paper by encoding the committed message to the phase of a quantum state. Multi-party means that there are more than one recipient in ...

12

Round   and  Communication  Efficient  Unconditionally-secure  MPC  with $t

Round and Communication Efficient Unconditionally-secure MPC with $t

... Threshold unconditionally-secure multiparty computation (MPC) is a fundamental problem in secure distribu- ted computing [40, 26, 8, 12, 38, 2]. Informally, an MPC protocol enables a set of n mutually distrusting ...

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Unconditionally  Secure  Asynchronous  Multiparty  Computation  with  Linear  Communication  Complexity

Unconditionally Secure Asynchronous Multiparty Computation with Linear Communication Complexity

... Threshold unconditionally secure multiparty computation (MPC) is a powerful concept in secure distributed computing. It enables a set of n mutually distrusting parties to jointly and securely compute a publicly ...

35

Exploratory designs of unconditionally secure distributed oblivious transfer protocols

Exploratory designs of unconditionally secure distributed oblivious transfer protocols

... This chapter introduces the first information-theoretically secure threshold one-round DOT protocol. That is, the number of servers the receiver needs to contact to obtain a secret is not limited to k . Moreover, unlike ...

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