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Functional analysis --- 517.98 --- 519.6 --- 681.3*G1 --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Functional analysis and operator theory --- Computational mathematics. Numerical analysis. Computer programming --- Numerical analysis --- 681.3*G1 Numerical analysis --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 517.98 Functional analysis and operator theory
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Numerical analysis --- Interval analysis (Mathematics) --- #KVIV --- 519.6 --- 681.3*G1 --- Analysis, Interval --- Arithmetic, Interval --- Interval arithmetic --- Interval mathematics --- Mathematics, Interval --- Mathematics --- Computational mathematics. Numerical analysis. Computer programming --- Interval analysis (Mathematics). --- 681.3*G1 Numerical analysis --- 519.6 Computational mathematics. Numerical analysis. Computer programming
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Numerical solutions of differential equations --- Differential equations --- Numerical solutions --- -681.3*G17 --- Equations, Differential --- Bessel functions --- Calculus --- Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- 681.3*G17 Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- 517.91 Differential equations --- 681.3*G17 --- 517.91 --- Numerical solutions. --- Numerical solutions&delete& --- Differential equations - Numerical solutions --- Equations differentielles ordinaires --- Methodes numeriques
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This course text fills a gap for first-year graduate-level students reading applied functional analysis or advanced engineering analysis and modern control theory. Containing 100 problem-exercises, answers, and tutorial hints, the first edition is often cited as a standard reference. Making a unique contribution to numerical analysis for operator equations, it introduces interval analysis into the mainstream of computational functional analysis, and discusses the elegant techniques for reproducing Kernel Hilbert spaces. There is discussion of a successful ''hybrid'' method for difficult real-l
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Differential equations --- Equations différentielles --- Numerical solutions --- Solutions numériques
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