• Title/Summary/Keyword: Implicit-explicit methods

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A Scalable Semi-Implicit Method for Realtime Cloth Simulatio (계산량 조정이 가능한 실시간 옷감 시뮬레이션 방법)

  • Kim Myoung-Jun
    • The KIPS Transactions:PartA
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    • v.13A no.2 s.99
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    • pp.177-184
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    • 2006
  • Since well-known explicit methods for cloth simulation were regarded unstable for large time steps or stiff springs, implicit methods have been proposed to achieve the stability. Large time step makes the simulation fast, and large stiffness enables a less elastic cloth property. Also, there have been efforts to devise so-called semi-implicit methods to achieve the stability and the speed together. In this paper we improve Kang's method (Kang and Cho 2002), and thus devise a scalable method for cloth simulation that varies from an almost explicit to a full implicit method. It is almost as fast as explicit methods and, more importantly, almost as stable as implicit methods allowing large time steps and stiff springs. Furthermore, it has a less artificial damping than the previously proposed semi-implicit methods.

Step-wise Combinded Implicit/Explicit Finite Element Simulation of Autobody Stamping Processes (차체 스템핑공정을 위한 스텝형식의 내연적/외연적 결함 유한요소해석)

  • Jung, D.W.;Yang, D.Y.
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.12
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    • pp.86-98
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    • 1996
  • An combined implicit/explicit scheme for the analysis of sheet forming problems has been proposed in this work. In finite element simulation of sheet metal forming processes, the robustness and stability of computation are important requirements since the computation time and convergency become major points of consideration besides the solution accuracy due to the complexity of geometry and boundary conditions. The implicit scheme dmploys a more reliable and rigorous scheme in considering the equilibrium at each step of deformation, while in the explict scheme the problem of convergency is elimented at thecost of solution accuracy. The explicit approach and the implicit approach have merits and demerits, respectively. In order to combine the merits of these two methods a step-wise combined implici/explicit scheme has been developed. In the present work, the rigid-plastic finite element method using bending energy augmented membraneelements(BEAM)(1) is employed for computation. Computations are carried out for some typical sheet forming examples by implicit, combined implicit/explicit schemes including deep drawing of an oil pan, front fender and fuel tank. From the comparison between the methods the advantages and disadvantages of the methods are discussed.

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A COMPARISON STUDY OF EXPLICIT AND IMPLICIT NUMERICAL METHODS FOR THE EQUITY-LINKED SECURITIES

  • YOO, MINHYUN;JEONG, DARAE;SEO, SEUNGSUK;KIM, JUNSEOK
    • Honam Mathematical Journal
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    • v.37 no.4
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    • pp.441-455
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    • 2015
  • In this paper, we perform a comparison study of explicit and implicit numerical methods for the equity-linked securities (ELS). The option prices of the two-asset ELS are typically computed using an implicit finite diffrence method because an explicit finite diffrence scheme has a restriction for time steps. Nowadays, the three-asset ELS is getting popularity in the real world financial market. In practical applications of the finite diffrence methods in computational finance, we typically use relatively large space steps and small time steps. Therefore, we can use an accurate and effient explicit finite diffrence method because the implementation is simple and the computation is fast. The computational results demonstrate that if we use a large space step, then the explicit scheme is better than the implicit one. On the other hand, if the space step size is small, then the implicit scheme is more effient than the explicit one.

IMPLICIT-EXPLICIT SECOND DERIVATIVE LMM FOR STIFF ORDINARY DIFFERENTIAL EQUATIONS

  • OGUNFEYITIMI, S.E.;IKHILE, M.N.O.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.25 no.4
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    • pp.224-261
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    • 2021
  • The interest in implicit-explicit (IMEX) integration methods has emerged as an alternative for dealing in a computationally cost-effective way with stiff ordinary differential equations arising from practical modeling problems. In this paper, we introduce implicit-explicit second derivative linear multi-step methods (IMEX SDLMM) with error control. The proposed IMEX SDLMM is based on second derivative backward differentiation formulas (SDBDF) and recursive SDBDF. The IMEX second derivative schemes are constructed with order p ranging from p = 1 to 8. The methods are numerically validated on well-known stiff equations.

The effects of explicit and implicit pragmatic instruction in Korean request strategies for Chinese learners (명시적 교수와 암시적 교수가 요청 화행 전략 표현 학습에 미치는 효과 비교 연구 - 중국인 한국어 학습자를 대상으로 -)

  • Lee, YeonKyung
    • Journal of Korean language education
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    • v.25 no.1
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    • pp.115-144
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    • 2014
  • The purpose of this paper is to compare the two different instruction methods for Korean learners of academic purposes in learning request expression. Participants were divided into two groups, explicit and implicit group. Both groups viewed several scenes from the drama that involved native speakers interacting in different situations. The instructional treatment for the explicit group included metapragmatic information while the treatment for the implicit group did not. On the other hand, the treatment for the implicit group followed implicit techniques, which were repetition of the video presentation and a script reading activity. This study was made up of a pre-test, a post-test, and a delayed-test. The pre-test was conducted prior to the instructional treatment. The post-test was administered a day after the last instruction and the delayed-test was conducted five weeks after the treatments. Two types of tests, speaking and writing, were used in this study to examine subjects' knowledge of Korean request. The result of this research reveals that implicit treatment was more effective than explicit treatment in Korean learners' request acquisition. This results might have been due to the operationalization of the implicit condition in this study. Implicit instruction may help language learners make rules by themselves through tasks.

FE Analysis of Lower Arm Hydroforming by Implicit and Explicit Method (Explicit/Implicit FEM에 의한 Lower Arm Hydroforming 공정해석)

  • Kang, Young-Ho;Kim, Jeong;Chang, You-Chul;Kang, Beom-Soo
    • Proceedings of the KSME Conference
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    • 2000.11a
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    • pp.783-788
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    • 2000
  • Hydroforming is a method for forming circular tubes. If this technology is to be applied economically, it is essential to have knowledge of the avoidance of failure cases as well as of the behavior of the tube in the tool under the compressive stress and forces that are exerted by the machine. A finite element simulation for manufacturing of lower arm from straight tubes, using the hydroforming method, was performed to investigate the effects of varying process parameters. Explicit method is used to simulate hydroforming in many cases, but that is not included flow rule. And then it needs simulation for implicit method. It was simulated by two methods, implicit and explicit, to compare the result of the hydroforming.

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Implicit and Explicit Memory Bias in Panic Disorder (공황장애의 암묵 및 외현기억 편향)

  • Jung, Na-Young;Chae, Jeong-Ho;Lee, Kyoung-Uk
    • Anxiety and mood
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    • v.8 no.1
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    • pp.3-8
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    • 2012
  • Patients with panic disoder (PD) show recollection of their first panic attack, which resembles a trauma that is perceived as an unexpected frightening and subjectively life-threatening event. Information-processing models suggest that anxiety disorders may be characterized by a memory bias for threat-related information. This paper reviews the previous researches that investigated the implicit and/or explicit biases in patients with panic disorder. Among the 17 studies, which addressed the explicit memory bias in PD patients, 11 (64.7%) were found to be explicit memory bias in PD patients. In regards to the implicit memory bias, 4 out of 9 studies (44.4%) were found to support the memory bias. The result shows that evidence of explicit memory bias in PD patients was supported by a number of previous researches. However, evidence of implicit memory bias seems less robust, thus, needs further research for replication. Also, development of new paradigms and applications of various methods will be needed in further researches on memory bias in PD patients.

Improvement of 3-Dimensional Finite-Difference Beam Propagation Method by Combining the Implicit and the Explicit methods (Implicit와 explicit 방법의 결합에 의한 3차원 유한차분 빔전파 방법의 개선)

  • Kim, Hyun-Jun;O, Beom-Hoan;Park, Se-Geun;Lee, El-Hang;Lee, Seung-Gol
    • Korean Journal of Optics and Photonics
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    • v.15 no.6
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    • pp.555-562
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    • 2004
  • We propose a hybrid method combining the implicit with the explicit methods in order to reduce the calculation time and improve the convergence problem of the 3-dimensional finite-difference beam propagation method. The numerical simulation of a directional coupler is carried out by the proposed method. It is found from the simulation results that the calculation speed of our method is 10 times faster than that of direct solving techniques.

NUMERICAL METHODS SOLVING THE SEMI-EXPLICIT DIFFERENTIAL-ALGEBRAIC EQUATIONS BY IMPLICIT MULTISTEP FIXED STEP SIZE METHODS

  • Kulikov, G.Yu.
    • Journal of applied mathematics & informatics
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    • v.4 no.2
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    • pp.341-378
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    • 1997
  • We consider three classes of numerical methods for solv-ing the semi-explicit differential-algebraic equations of index 1 and higher. These methods use implicit multistep fixed stepsize methods and several iterative processes including simple iteration, full a2nd modified Newton iteration. For these methods we prove convergence theorems and derive error estimates. We consider different ways of choosing initial approximations for these iterative methods and in-vestigate their efficiency in theory and practice.

A dissipative family of eigen-based integration methods for nonlinear dynamic analysis

  • Chang, Shuenn-Yih
    • Structural Engineering and Mechanics
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    • v.75 no.5
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    • pp.541-557
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    • 2020
  • A novel family of controllable, dissipative structure-dependent integration methods is derived from an eigen-based theory, where the concept of the eigenmode can give a solid theoretical basis for the feasibility of this type of integration methods. In fact, the concepts of eigen-decomposition and modal superposition are involved in solving a multiple degree of freedom system. The total solution of a coupled equation of motion consists of each modal solution of the uncoupled equation of motion. Hence, an eigen-dependent integration method is proposed to solve each modal equation of motion and an approximate solution can be yielded via modal superposition with only the first few modes of interest for inertial problems. All the eigen-dependent integration methods combine to form a structure-dependent integration method. Some key assumptions and new techniques are combined to successfully develop this family of integration methods. In addition, this family of integration methods can be either explicitly or implicitly implemented. Except for stability property, both explicit and implicit implementations have almost the same numerical properties. An explicit implementation is more computationally efficient than for an implicit implementation since it can combine unconditional stability and explicit formulation simultaneously. As a result, an explicit implementation is preferred over an implicit implementation. This family of integration methods can have the same numerical properties as those of the WBZ-α method for linear elastic systems. Besides, its stability and accuracy performance for solving nonlinear systems is also almost the same as those of the WBZ-α method. It is evident from numerical experiments that an explicit implementation of this family of integration methods can save many computational efforts when compared to conventional implicit methods, such as the WBZ-α method.