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Hasil Pencarian

Ditemukan 3 dokumen yang sesuai dengan query
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Siregar, Yohannes H.
"Dalam tugas akhir ini akan dibahas tentang suatu metode untuk pengubahan bentuk suatu domain dalam persoalan nilai batas yang telah ditentukan, hal ini dikenal dengan pemetaan konformal. Pemetaan konformal merupakan bagian dari fungsi variabel kompleks dan penggunaan pemetaan konformal pada persoalan fisika yaitu pada konduksi panas dalam temperatur steady."
Depok: Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Indonesia, 1986
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UI - Skripsi Membership  Universitas Indonesia Library
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Gutlyanskii, Vladimir
"This book is devoted to the Beltrami equations that play a significant role in geometry, analysis and physics and, in particular, in the study of quasiconformal mappings and their generalizations, Riemann surfaces, Kleinian groups, Teichmuller spaces, Clifford analysis, meromorphic functions, low dimensional topology, holomorphic motions, complex dynamics, potential theory, electrostatics, magnetostatics, hydrodynamics and magneto-hydrodynamics.
The purpose of this book is to present the recent developments in the theory of Beltrami equations; especially those concerning degenerate and alternating Beltrami equations. The authors study a wide circle of problems like convergence, existence, uniqueness, representation, removal of singularities, local distortion estimates and boundary behavior of solutions to the Beltrami equations. The monograph contains a number of new types of criteria in the given problems, particularly new integral conditions for the existence of regular solutions to the Beltrami equations that turned out to be not only sufficient but also necessary.
The most important feature of this book concerns the unified geometric approach based on the modulus method that is effectively applied to solving the mentioned problems. Moreover, it is characteristic for the book application of many new concepts as strong ring solutions, tangent dilatations, weakly flat and strongly accessible boundaries, functions of finite mean oscillations and new integral conditions that make possible to realize a more deep and refined analysis of problems related to the Beltrami equations"
New York: [Springer, ], 2012
e20419464
eBooks  Universitas Indonesia Library
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"Numerical grid generation plays a critical role in any scientific computing problem when the geometry of the underlying region is complex or when the solution has a complex structure. The mathematical aspects of grid generation are discussed to provide a deeper understanding of the algorithms and their imitations. Variational methods are emphasized because they are more robust, but elliptic and transcendental algebraic methods are also considered."
Philadelphia: Society for Industrial and Applied Mathematics, 1991
e20450522
eBooks  Universitas Indonesia Library