发表于 2025-3-26 22:10:52

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狗窝 发表于 2025-3-27 04:15:33

Numerical Verification Methods and Computer-Assisted Proofs for Partial Differential Equations

CREST 发表于 2025-3-27 08:45:54

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flamboyant 发表于 2025-3-27 09:29:04

Infinite-Dimensional Newton-Type Methodpplying the same principle as in Chaps. 1 and 2. After that, we confirm the existence of solutions by proving the contractility of the infinite-dimensional Newton-like operator with a residual form. Note that a projection into a finite-dimensional subspace and constructive error estimates of the projection play important and essential roles.

招待 发表于 2025-3-27 17:39:17

Basic Principle of the Verificationl improvements have since been made. This method consists of a projection and error estimations by the effective use of the compactness property of the relevant operator, and it can be represented in a rather generalized form in the examples below.

oracle 发表于 2025-3-27 20:52:04

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出血 发表于 2025-3-28 01:29:43

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制定法律 发表于 2025-3-28 04:06:41

Other Problem Typesf second-order elliptic boundary value problems, where the linearized operator . lacks symmetry, whence a norm bound for .. cannot be computed via the spectrum of . or ....In this chapter we concentrate on the main ideas and partially will be a bit less extensive with technical details.

optic-nerve 发表于 2025-3-28 08:30:48

Eigenvalue Bounds for Self-Adjoint Eigenvalue Problemssical application is quantum physics, but also other fields like electro-dynamics (including optics) or statistical mechanics are governed by partial differential operators and related eigenvalue problems.

Interstellar 发表于 2025-3-28 12:50:31

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查看完整版本: Titlebook: Numerical Verification Methods and Computer-Assisted Proofs for Partial Differential Equations; Mitsuhiro T. Nakao,Michael Plum,Yoshitaka