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- 件名...程式. Shells (Engineering) -- Mathematical models. Boundary element methods. Differential equations, Elliptic.
- タイトル標目Lecture notes in mathematics (Springer-Verlag) ; 1683.
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- 要約等...rithms for solving differential equations are proposed a....... The proposed methods are considerab......re stable than classical numerical methods, and they can obtain a significantl......ability region in parallel. Two kinds of basic equations, the fiber amp......er propagation equations and nonlinear Schrödinger equations, in the fiber tran......y use of these methods. Numerical sim......t the proposed methods can increase the accu......r of magnitude in comparison with the classical fast methods for solving Raman amplifier propagation equations, and shorten t......central processing unit (CPU) time by a factor of ∼2 to ∼6 compared with th...
- 件名ordinary differential equations multistep method nonlinear Schrodinger equations fiber amplifie......Fourier method boundary value problems Adams-Bashforth-Moulton method
- 掲載誌（国立国会図書館永続的識別子）info:ndljp/pid/11226663
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- 一般注記Translation of: Obratna gravimetrichna zadacha v geoprouchvaneto i geodezii͡ata. Includes indexes.
- タイトル標目Obratna gravimetrichna zadacha v geoprouchvaneto i geodezii͡ata. English
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- 件名Boundary value problems Differential equations, Nonlinear Ordinary differential equations -- Boundary value problems -- Nonlinear boundary value problems. msc Ordinary differential equations -- Boundary value problems -- Singular nonlinear boundary value problems. msc Ordinary differential equations -- Qualitative......c systems. msc Ordinary differential equations -- Qualitative......heory -- Homoclinic and heteroclinic solutions. msc Ordinary differential equations -- Asymptotic theory -- Asymptotic expansions. msc Partial differential equations -- General topics -- Methods of ordinary differential equations. msc Partial differ...
- 件名（識別子）...s. msc Partial differential equations -- Representat......tions -- Traveling wave solution......namical systems: general theory -- Homoclinic and heteroclinic orbits. msc ......amical systems with hyperbolic beh...... Strange attractors, chaotic dynamics. msc
- 一般注記"Applied mathematics"--Cover Bibliography: p. 357-369 Includes index
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- 一般注記原タイトル: The Princeton Companion to Mathematics
- その他のタイトルThe Princeton Companion to Mathematics
- 典拠情報（Author Heading/「を見よ」参照）ガウアーズ, ティモシー ガワーズ, ティモシー バロウ = グリーン, ジューン リーダー, イムレ Sunada, Toshikazu
An efficient spectral method for ordinary differential equations with rational function coefficients
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- 要約等...nt approximate inversion of linear differential operators with rational funct......loy expansions in terms of a lar......mial families, including all the classical orthogonal pol......restricted domain the differentiation operator has a unique banded inverse. The inverse is an integration operator for the famil......e recurrence. Since in these families......nvolution operators (i.e., matri......s, we are able to obtain a banded representation for linear differential operators with rational coeff......ts. This leads to a method of solution of initial or boundary value problems that, besides having an operation count that scal...
- 参照...or the Navier–Stokes equations in a semi-infinite domain with flexible boundary conditions
- 著者標目Evangelos Coutsias Thomas Hagstrom David Torres
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- 内容細目...on / volume editor, Steven Yanti......es / volume editor, Douglas Medin v. 3. Learning, motivation, ......on / volume editor, Randy Gallis......4. Methodology in experimental p......gy / volume editor, John Wixted.
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- 要約等...rithms for solving differential equations are proposed a....... The proposed methods are considerab......re stable than classical numerical methods, and they can obtain a significantl......ability region in parallel. Two kinds of basic equations, the fiber amp......er propagation equations and nonlinear Schrödinger equations, in the fiber tran......y use of these methods. Numerical sim......t the proposed methods can increase the accu......r of magnitude in comparison with the classical fast methods for solving Raman amplifier propagation equations, and shorten t......central processing unit (CPU) time by a factor of ∼2 to ∼6 compared with th...
- 件名...orth–Moulton method boundary value problems split-step Fou...... amplifier nonlinear Schrödinger equations multistep method ordinary differential equations
- 著者標目Liu Xueming Lee Byoungho
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- 目次・記事Linear differential operators Polynomial based iteration methods for symmetric linear systems Stochastic processes Singular perturbation methods in control : analysis and design Solving least squares problems Mathematical models : mechanical vib......d traffic flow : an introduction to applied mathem......d Lie algebras with applications and computational methods Solving polynomial systems using continuation for engineering and scientific problems Numerical methods for unconstrained optimization and nonlinear equations Statistical de......al solution of initial-value problems in differential-algebraic equations Mathematics applied to determ...
- 関連情報Linear differential operators Polynomial based iteration methods for symmetric linear systems Stochastic processes Singular perturbation methods in control : analysis and design Solving least squares problems Mathematical models : mechanical vib......d traffic flow : an introduction to applied mathem......d Lie algebras with applications and computational methods Solving polynomial systems using continuation for engineering and scientific problems Numerical methods for unconstrained optimization and nonlinear equations Statistical de......al solution of initial-value problems in differential-algebraic equations Mathematics applied to determ...
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- 目次・記事Wavelets in functional dat......f graphs Nevanlinna theory Fixed point of the parabo......alization operator Topics in extrinsic geometry of......entification using regular and q......d observations : applications of large deviations principles Post-optimal analysis in linear semi-infinite optimizatio......roximation of stochastic invariant manifolds : stochastic manifolds for nonlinear SPDEs I Quandles and topological pairs : symmetry, knot......extrafunctions : extending the classical calculus A var......ional approach to Lyapunov type inequalities : from ODEs to PDEs Mean fiel...... multivariate singular integrals Asymptotic ana...
- 関連情報Wavelets in functional dat......f graphs Nevanlinna theory Fixed point of the parabo......alization operator Topics in extrinsic geometry of......entification using regular and q......d observations : applications of large deviations principles Post-optimal analysis in linear semi-infinite optimizatio......roximation of stochastic invariant manifolds : stochastic manifolds for nonlinear SPDEs I Quandles and topological pairs : symmetry, knot......extrafunctions : extending the classical calculus A var......ional approach to Lyapunov type inequalities : from ODEs to PDEs Mean fiel...... multivariate singular integrals Asymptotic ana...
- 並列タイトル等Springer briefs in mathematics
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- 目次・記事The Integrals of Lebe......erron, and Henstock Applied asymptotic analysis Partial differential equations Problems in operator theory Nonlinear elliptic equations of the second ......A basic course in partial differential equations Higher order F......ional analysis : an elementary introduction From Frenet to Cartan : the method of moving frames Stochastic analysi......e Lie algebras in the BGG category O Analysis Introduction to 3-manifolds Resolution of singularities Discrete differential geometry : integrable structure Topics in differential geometry Algeb......ability theory in finance : a mathematical guide to the Black-Scholes formula Dua...
- 関連情報The Integrals of Lebe......erron, and Henstock Applied asymptotic analysis Partial differential equations Problems in operator theory Nonlinear elliptic equations of the second ......A basic course in partial differential equations Higher order F......ional analysis : an elementary introduction From Frenet to Cartan : the method of moving frames Stochastic analysi......e Lie algebras in the BGG category O Analysis Introduction to 3-manifolds Resolution of singularities Discrete differential geometry : integrable structure Topics in differential geometry Algeb......ability theory in finance : a mathematical guide to the Black-Scholes formula Dua...
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- 目次・記事...cal theory of finite element methods Conservation l......s and elliptic equations Numerical math......cal theory of finite element methods Differential equations and dynamical systems Introduction to partial differential equations : a computationa......oach Numerical methods in matrix computa......ion of partial differential equations Calculus of variations : an introduction to the one-dimensional theory with examples and exercises Introductory functional analysis : with applications to boundary-value problems and finite elements Nodal discontinuous galerkin methods : algorithms, analysis, and applications Hypergeometric functions and ...
- 一般注記Editors: F. John, J.E. Marsden, L. Sir...
- 関連情報...cal theory of finite element methods Conservation l......s and elliptic equations Numerical math......cal theory of finite element methods Differential equations and dynamical systems Introduction to partial differential equations : a computationa......oach Numerical methods in matrix computa......ion of partial differential equations Calculus of variations : an introduction to the one-dimensional theory with examples and exercises Introductory functional analysis : with applications to boundary-value problems and finite elements Nodal discontinuous galerkin methods : algorithms, analysis, and applications Hypergeometric functions and ...
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- 総目次・総索引注記リスト&著者索引: 1～999 (1997年6月), 1000 (1997年9...
- 典拠情報（Author Heading/「を見よ」参照）Research Institute for Mathematical Sciences, Kyoto University RIMS
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- 目次・記事Automorphic pseudodifferential analysis and h......l Weyl calculi Topological field......ms and related topics Équations différentielle......ts polynomiaux Infinite dimensional Lie algebras : an introduction Poly......ally covariant differential operators, Q-curvature...... number theory : Summer School,......ve vertex operators Tubes Introduction to vertex operator algebras and ......of complex domains The theory of......acobi forms Vector bundles on co......ductive groups : proceedings of the Unive......l systems and singularities : CIMPA Summer S......e geometry and classical algebraic geometry An introduction to the Heisenberg G...
- 一般注記Series editors: J. Coates, S. Helgason, v. 1-; H. Bass, J. Oesterlé, A. Weinstein
- 関連情報Automorphic pseudodifferential analysis and h......l Weyl calculi Topological field......ms and related topics Équations différentielle......ts polynomiaux Infinite dimensional Lie algebras : an introduction Poly......ally covariant differential operators, Q-curvature...... number theory : Summer School,......ve vertex operators Tubes Introduction to vertex operator algebras and ......of complex domains The theory of......acobi forms Vector bundles on co......ductive groups : proceedings of the Unive......l systems and singularities : CIMPA Summer S......e geometry and classical algebraic geometry An introduction to the Heisenberg G...
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- 要約等A numerical method for solving 1-D time-independent Hamilton-Jacobi-Bellman equations, which are referred to as 1-D HJBEs, ......ed and applied to test cases for assessing its computati......mance. An HJBE in this paper is ......e second-order ordinary differential equation having linear diffusion and nonlinear drift terms......ization method to the drift coef...... well-pose the boundary value problems of the equations in the classical sense. A mathe...... the solutions to the original and regulari......BEs are solved with a Petrov-Galerkin finite element sch......ch is referred to as the PGFE sc......sed on the fitting technique and is uncondition...
- 件名Petrov-Galerkin finite element scheme Hamilton-Jacobi-Bellma......daptive re-meshing method
- 参照...tion of a Hamilton-Jacobi-Bellma......ssus Altivelis in River Systems ......mization model to start harvesting in stochastic aquaculture system
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- 一般注記...tion of Bronstein/Semendjajev, T......under the title: Spravochnik po......atematike dlya inshenerov i ucha......"--T.p. Verso. Included index. Bibliography: p. [947]-952.
- 著者標目Bronshteĭn, Ilʹia Nikolaevich Semendi͡ae...
- 典拠情報（Author Heading/「を見よ」参照）ブロンシュテイン, I. N. ブロンシュテイン, イ・エヌ Bronshteĭn, I. N.
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- 件名Radioactive waste disposal in the ground--Technological innovations. Reactor fuel reprocessing--Technological innovations. Radi......te canisters--Storage. Radioactive waste repositories--Design and construction.
- タイトル標目Woodhead Publishing in energy ; no. 9.
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- 要約等A numerical method for solving 1-D time-independent Hamilton-Jacobi-Bellman equations, which are referred to as 1-D HJBEs, ......ed and applied to test cases for assessing its computati......mance. An HJBE in this paper is ......e second-order ordinary differential equation having linear diffusion and nonlinear drift terms......ization method to the drift coef...... well-pose the boundary value problems of the equations in the classical sense. A mathe...... the solutions to the original and regulari......BEs are solved with a Petrov-Galerkin finite element sch......ch is referred to as the PGFE sc......sed on the fitting technique and is uncondition...
- 件名adaptive re-meshing method consis......on method Hamilton-Jacobi-Bellma......n Petrov-Galerkin finite element scheme
- 並列タイトル等（連結）A Petrov-Galerkin Finite Element Scheme for 1-D Time-independent Hamilton-Jacobi-Bellman Equations
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- 典拠情報（件名/「を見よ」参照）Mechanical engineering
- 並列タイトル等（連結）JSME mechanical engineers' handbook 基礎編
- 並列タイトル等JSME mechanical engineers' handbook 基礎編
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- 並列タイトル等（連結）JSME Mechanical Engineers' Concise Handbook
- 並列タイトル等JSME Mechanical Engineers' Concise Handbook
- 典拠情報（Author Heading/「を見よ」参照）... Mechanical Engineers JSME テクノマート産学官連携WG 日本機械学会...