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Bayesian statistical decision theory --- Inverse problems (Differential equations) --- Mathematical optimization --- 519.63 --- 519.65 --- 681.3*G17 --- Mathematical optimization. --- 517.9 --- 519.21 --- 681.3 *G18 --- 681.3*G3 --- Bayes' solution --- Bayesian analysis --- Statistical decision --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Differential equations --- Numerical methods for solution of partial differential equations --- Approximation. Interpolation --- Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Probability theory. Stochastic processes --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Probability and statistics: probabilistic algorithms (including Monte Carlo);random number generation; statistical computing; statistical software (Mathematics of computing) --- Bayesian statistical decision theory. --- Inverse problems (Differential equations). --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- 519.21 Probability theory. Stochastic processes --- 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) --- 519.65 Approximation. Interpolation --- 519.63 Numerical methods for solution of partial differential equations --- 681.3*G3 Probability and statistics: probabilistic algorithms (including Monte Carlo);random number generation; statistical computing; statistical software (Mathematics of computing) --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis)